In this blog, we will summarize the latex code for statistics equations, ranging from the elementary statistics equations (e.g. mean and variance) to more advanced graduate-level statistics equations, e.g. Binomial, Poisson, Normal Distribution, Chi-Square Test, Skewness, Kurtosis, etc.

In this blog, we will summarize the latex code for most popular machine learning equations, including multiple distance measures, generative models, etc. There are various distance measurements of different data distribution, including KL-Divergence, JS-Divergence, Wasserstein Distance(Optimal Transport), Maximum Mean Discrepancy(MMD) and so on. We will provide the latex code for machine learning models in the following sections. We will also provide latex code of Generative Adversarial Networks(GAN), Variational AutoEncoder(VAE), Diffusion Models(DDPM) for generative models in the second section.

In this blog, we will give you a brief introduction of what are multimodal models and what can multimodal generative models accomplish. OpenAI just released their latest text-to-video multimodal generative model "SORA" in Feb, 2024 which becomes extremely popular. SORA can generate short videos of up to 1 minute's length. Before SORA, there are also many generative multi-modal models released by various companies, such as BLIP, BLIP2, FLAMINGO, FlaVA, etc. We will summarize a complete list of these time tested multi-modal generative models, introduce the model architures (text and image encoder), the training process, tasks, latex equation of loss functions, the Vision Language capabilities (such as text-to-image, text-to-video, text-to-audio, visual question answering), etc. Tag: Multimodal, AIGC, Large Language Model

In this blog, we will summarize the latex code for Probability Formulas and Equations, including Binomial Distribution, Poisson Distribution, Normal Gaussian Distribution, Exponential Distribution, Gamma Distribution, Uniform Distribution, Beta Distribution, Bernoulli Distribution, Geometric Distribution, Beta Binomial Distribution, Poisson Binomial Distribution, Chi-Squared Distribution, Gumbel Distribution, Student t-Distribution, Laplace Distribution, etc. And for multivariate distributions, we will also cover Multinomial Distribution, MultiVariate Normal Distribution, MultiVariate Gamma Distribution, MultiVariate t-Distribution and others.

In this blog, we will summarize the latex code of most fundamental equations of transfer learning(TL). Different from multi-task learning, transfer learning models aims to achieve the best performance on target domain (minimized target domain test errors), not the performance of source domain. Typical transfer learning methods including domain adaptation(DA), feature sub-space alignment, etc. In this post, we will dicuss more details of TL equations, including many sub-areas like domain adaptation, H-divergence, Domain-Adversarial Neural Networks(DANN), which are useful as quick reference for your research.

In this blog, we will summarize the latex code for equations and formula sheet of CFA Level II exam, Formula Sheet Equations and Latex Code. Topics include QUANTITATIVE METHODS, such as LINEAR REGRESSION, MULTIPLE REGRESSION, TIME SERIES ANALYSIS, Machine Learning, ECONOMICS, Exchange rate, Covered interest rate parity, Uncovered interest rate parity, Relative purchasing power parity, Fisher and international Fisher effects, FX carry trade, Mundell-Fleming model, ECONOMIC GROWTH, Growth accounting equation, Labor productivity growth accounting equation, Classical growth model (Malthusian model), Neoclassical growth model (Solow’s model), Endogenous growth model, Convergence, ECONOMICS OF REGULATION. The data source of this blog is summarized from WILEY’S CFA PROGRAM LEVEL II quicksheet.

In this blog, we will introduce popular AI Agent Frameworks, Benchmarks (keep updated and beyond) Types and provide you some examples with Project Name, Project Website and its application and industries. The resources are collected from AI and ML websites and communities (github, huggingface, paper arxiv,etc) and the comprehensive will keep updating. You can also visit AI Agent Search to find the best resources AI Agents from various industries and applications. For AI Agent Frameworks, we will cover some popular AI agent frameworks, including LangChain, AutoGen, Crew AI etc. And for various types of AI agents, since it's very broad concepts, we will mainly cover the AI agents classified by Autonomous Ability (Auto AI Agents or Rule based) and by industries perspective. For AI Agent Benchmarks, this blog is usefully for AI and ML practitioners and beginners who want to understand what are AI Agents Benchmarks or Environments, the key capability why there are important and how the applications of these AI Agent benchmarks. We will cover different categories of AI Agent Environments, including Game-Based Environments, Text Chat-Based Environments, Physics and Robotics Simulations, Multi-Agent Platforms. Additionally, we can cover AI-Agents in various domains, such as the benchmarks and environments of AI Agents in Healthcare, AI Agents in Finance, AI Agents in Law, AI Agents in Education, etc. To find best AI Agent and Apps Search Engine and Navigation, please visit AI Agent Search.

In this blog, we will give a brief introduction of what is

Most recently I read Isaac Asimov's science fiction novels and know about his famous "Three Laws of Robotics" (https://en.wikipedia.org/wiki/Three_Laws_of_Robotics). But I am not so convinced by his first rule "A robot may not injure a human being", especially when AI reaches status of Artificial General intelligence (AGI) or even Artificial Super intelligence (ASI). What if in the near future, among a group of AIs, some of them follow this no-harm rule but the rest don't? I am curious about what's the probability these AIs reach a consensus to start harming people? I would like to build some mathmetical/probability/simulation models to best fit the scenario and calculate the probability. Any thoughts or discussion will be very welcome.

In this blog, we will introduce popular AI Agent Frameworks, Benchmarks (keep updated and beyond) Types and provide you some examples with Project Name, Project Website and its application and industries. The resources are collected from AI and ML websites and communities (github, huggingface, paper arxiv,etc) and the comprehensive will keep updating. You can also visit AI Agent Search to find the best resources AI Agents from various industries and applications. For AI Agent Frameworks, we will cover some popular AI agent frameworks, including LangChain, AutoGen, Crew AI etc. And for various types of AI agents, since it's very broad concepts, we will mainly cover the AI agents classified by Autonomous Ability (Auto AI Agents or Rule based) and by industries perspective. For AI Agent Benchmarks, this blog is usefully for AI and ML practitioners and beginners who want to understand what are AI Agents Benchmarks or Environments, the key capability why there are important and how the applications of these AI Agent benchmarks. We will cover different categories of AI Agent Environments, including Game-Based Environments, Text Chat-Based Environments, Physics and Robotics Simulations, Multi-Agent Platforms. Additionally, we can cover AI-Agents in various domains, such as the benchmarks and environments of AI Agents in Healthcare, AI Agents in Finance, AI Agents in Law, AI Agents in Education, etc. To find best AI Agent and Apps Search Engine and Navigation, please visit AI Agent Search.

In this blog, we will give you a brief introduction to AgentBoard, an open source AI agent visualization toolkit which can be used the same way as Tensorboard, which helps visaulize Tensors data during model training. AgentBoard aims to visualize key elements and information of AI Agents running loops in development and production stages of real-world scenarios. It provides easy logging APIs in python and can help log multiple data types such as text (prompt), tools use (function calling of LLM API), image, audio and video. With organized logging schemas, agentboard will visualize the agent-loop (PLAN -> ACT -> REFLECT -> REACT etc ), RAG (Retrieval Augumented Generation), Autonomous Agents running, Multi-Agents orchestration, etc. The rest of the blog will cover the basic data types usage, visualization of Agent Loop, Chat History, Tool Use, Functions Calling, RAG, etc.

In this blog, we will introduce the DeepNLP Equation workspace, which helps users better manage, edit, share and display their equations. In the platform, users can manage their equations and latex code in a personal workspace, which enables users to create new equations (with latex code, personal tags), edit and save equations. It also creates a URL of your equation, which can be shared to the collaborators. In the following sections, we will give you the step by step instructions on how to create, edit and share an equation. Once you finish add the equation, you can copy the latex code of your equation to clipboard and paste the code to your preferred latex file system, e.g. Overleaf, etc.

This blog summarize the latest research development of summarization papers published in ACL2023 conferences. This year there are total 49 papers related to summarization in ACL2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

This blog summarizes the latest research development of dialogue and large language models (LLM) papers published in ACL2023 conferences. This year there are total 79 papers related to dialogue in ACL2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

Cheatsheet of Latex Code for Most Popular Natural Language Processing Equations

This blog summarizes the latest research development of speech papers published in ACL2023 conferences. This year there are total 54 papers related to speech in ACL2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

This blog summarizes the latest research development of retrieval papers published in ACL2023 conferences. This year there are total 76 papers related to retrieval in ACL2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

In this blog, we will introduce how to use ChatGPT stock analysis chatbot to quickly generate professional charts of financial data. A few AI techniques such as RAG (Retrieval Augmented Generation), Text2SQL, and Larget Language Models (LLM) are used to help users find financial data, draw chart to compare key metrics, and adjust the color and shape of the chart using simple natural language prompts. A typical scenrio for professional financial analysts is to draw chart to compare the market capitalization, PE ratio of stocks from global market in converted currencies (US Dollars for example). This is a frequent scenario of daily workflow. The snapshots of AI generated charts is shown using DeepNLP Financial Assistant. You can try by clicking the button below the page, copy and paste the query in the chatbox and ask AI to generate charts or tables in few seconds, copy the charts to your reports or send to your manager. From the chart, we can see that on January 15th, Microsoft (MSFT) market cap reaches 2,887 Billon US dollars, and Apple (AAPL) reaches 2,874.68 Billion US dollars. Microsoft's market cap surpassed Apple and became the company of largest market capitalization in United States. The real-time stock data is from the web APIs, and converted to SQL using Text2SQL and LLM techniques.

研究如何打通tensorflow线下python脚本训练建模，线上生产环境用C++代码直接调用预先训练好的模型完成预测的工作，而不需要用自己写的Inference的函数。因为目前tensorflow提供的C++的API比较少，所以参考了几篇已有的日志，踩了不少坑一并记录下来。写了一个简单的ANN模型对Iris数据集分类的Demo。

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation (Continuous-Time Finance). We will cover important topics including Standard Brownian Motion (SBM), Geometric Brownian Motion (GBM), Ito Lemma, Stochastic Integrals, Solutions to Some Common SDEs, Brownian Motion Variation, Stock Prices as a GBM, Stock Prices are Lognormal, Sharpe Ratio and Hedging, The Black-Scholes Equation, Risk-Neutral Valuation and Power Contracts.

In this blog, we will summarize the latex code for differential equations formulas, including diffusion (conduction) equation, wave equation, heat equation, laplace equation, Legendre's equation, Bessel's equation, Spherical Harmonics Equation, etc.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation (Continuous-Time Finance). We will cover important topics including Standard Brownian Motion (SBM), Geometric Brownian Motion (GBM), Ito Lemma, Stochastic Integrals, Solutions to Some Common SDEs, Brownian Motion Variation, Stock Prices as a GBM, Stock Prices are Lognormal, Sharpe Ratio and Hedging, The Black-Scholes Equation, Risk-Neutral Valuation and Power Contracts.

In this blog, we will summarize the latex code for basic calculus formulas, including Limits, Differentiation and Integration. For integration formulas, we will cover the topic as standard form of integration, integration of 1/x, ln(x), Exponential e^{ax}, xe^{ax}, Integration by Parts, Differentiation of an Integral, Dirac Delta Function, etc.

In this blog, we will summarize the latex code for series formulas, including arithmetic and geometric progressions, convergence of series: the ratio test, Binomial expansion, Taylor and Maclaurin Series, Power Series with Real Variables e^{x},ln(1+x),sin(x),cos(x), Plane Wave Expansion, etc.

In this blog, we will summarize the latex code for linear matrix algebra formulas, including matrix multiplication, transpose, inverse matrix, determinants, hermitian matrices, determinants, eigenvalues and eigenvectors, orthogonal matrices, etc.

In this blog, we will summarize the latex code for basic calculus formulas, including Limits, Differentiation and Integration. For limits formulas, we will cover sections including: L'Hospital Rule, Limits of Power, Limits of xln(x), Limits of x^{n}/n!. For differentiation formulas, we will cover Differentiation of Polynomial Function, Chain Rule for Differentiation, Differentiation of Multiplication, Differentiation of Division, Differentiation of Trigonometric formulas (sin, cos, tan, sec), and Differentiation of Hyperbolic formulas (sinh, cosh, tanh, sech, coth, cosech).

In this blog, we will summarize the latex code for Curves and Shapes, Geometry Math Formulas. Topics include Distance Between Two Points 2D, Distance Between Two Points 3D, Eccentricity of a Hyperbola, Eccentricity of an Ellipse, Circle, Hyperbola, Hyperbolic Paraboloid, Parabola, Plane, Sphere, Ellipse, Ellipsoid, Elliptic Cone, Elliptic Cylinder, Elliptic Paraboloid, Spiral of Archimedes, etc.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation part I-Forwards, Puts, and Calls. We will cover important topics including Forwards, Put-Call Parity, Calls and Puts with Different Strikes, Calls and Puts Arbitrage, Call and Put Price Bounds, Varying Times to Expiration, Early Exercise for American Options, etc.

In this blog, we will summarize the latex code for Geometry, Math formulas and equations. Topics include Area of a Circle, Area of a Parallelogram, Area of a Rectangle, Area of a regular Polygon, Area of a Rhombus, Area of a Sector, Area of a Square, Area of a Trapezoid, Area of a Triangle,Area of an Ellipse, Area of an Equilateral Triangle.

Most recently I read Isaac Asimov's science fiction novels and know about his famous "Three Laws of Robotics" (https://en.wikipedia.org/wiki/Three_Laws_of_Robotics). But I am not so convinced by his first rule "A robot may not injure a human being", especially when AI reaches status of Artificial General intelligence (AGI) or even Artificial Super intelligence (ASI). What if in the near future, among a group of AIs, some of them follow this no-harm rule but the rest don't? I am curious about what's the probability these AIs reach a consensus to start harming people? I would like to build some mathmetical/probability/simulation models to best fit the scenario and calculate the probability. Any thoughts or discussion will be very welcome.

In this blog, we will summarize the latex code for Geometry Coordinate Systems, Math Formulas. Topics include Cartesian to Cylindrical Coordinates, Cartesian to Polar Coordinates, Cartesian to Spherical Coordinates, Cylindrical to Spherical Coordinates, etc.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation Monte-Carlo Simulations and Interest Rate Models. We will cover important topics including Monte-Carlo Simulations, Bonds and Interest Rates, Black-Derman-Toy (BDT) model and Cox-Ingersoll-Ross (CIR) model.

In this blog, we will introduce popular AI Agent Frameworks, Benchmarks (keep updated and beyond) Types and provide you some examples with Project Name, Project Website and its application and industries. The resources are collected from AI and ML websites and communities (github, huggingface, paper arxiv,etc) and the comprehensive will keep updating. You can also visit AI Agent Search to find the best resources AI Agents from various industries and applications. For AI Agent Frameworks, we will cover some popular AI agent frameworks, including LangChain, AutoGen, Crew AI etc. And for various types of AI agents, since it's very broad concepts, we will mainly cover the AI agents classified by Autonomous Ability (Auto AI Agents or Rule based) and by industries perspective. For AI Agent Benchmarks, this blog is usefully for AI and ML practitioners and beginners who want to understand what are AI Agents Benchmarks or Environments, the key capability why there are important and how the applications of these AI Agent benchmarks. We will cover different categories of AI Agent Environments, including Game-Based Environments, Text Chat-Based Environments, Physics and Robotics Simulations, Multi-Agent Platforms. Additionally, we can cover AI-Agents in various domains, such as the benchmarks and environments of AI Agents in Healthcare, AI Agents in Finance, AI Agents in Law, AI Agents in Education, etc. To find best AI Agent and Apps Search Engine and Navigation, please visit AI Agent Search.

In this blog, we will introduce most popuplar formulas in Mechanics, Physics. We will also provide latex code of the equations. Topics include velocity, stress, speed of sound, newton second law(force), shear_modulus, angular momentum, centripetal acceleration, continuity equation, displacement , Hydraulic Lift, Speed of sound waves in a fluid, etc.

In this blog, we will introduce most popuplar physics formulas in Relativity. We will also provide latex code of the equations. Topics include the Lorentz transformation, red and blue shift, general relativity, Riemannian Tensor and Einstein Field Equations, etc.

In this blog, we will introduce most popuplar physics formulas in Electricity & Magnetism. This blog covers topics, including the Maxwell equations, force and potential, Gauge Transformations, Energy of the Electromagnetic Field, etc.

In this blog, we will introduce most popuplar formulas in thermodynamics, Physics. We will also provide latex code of the equations. Topics include thermodynamics, heat capacity, conservation of energy, nernst's law, maxwell relations, adiabatic processes, isobaric processes, throttle processes, The Carnot Cycle, phase transitions, thermodynamic potential, ideal mixtures, thermodynamics statistical basis, etc.

In this blog, we will introduce most popuplar formulas in Wave, Physics. We will also provide latex code of the equations. Topics include Wave Equation, Plane Waves, Spherical Waves, Cylindrical Waves, The general solution of Wave Equation, The Stationary Phase Method, Green functions for the initial-value problem, Waveguides and resonating cavities, Non-linear wave equations, etc.

In this blog, we will introduce most popuplar formulas in Optics, Physics. We will also provide latex code of the equations. Topics include Bending of light, Snell's law, Fermat's principle, Paraxial geometrical, Mirrors, Magnification, Matrix Methods, Reflection and Transmission, Fresnel Equations, Polarization of Optics, Prisms and Dispersion, Diffraction, Birefringence and Dichroism, Retarders: waveplates and compensators, Fabry-Perot interferometer, etc.

In this blog, we will introduce most popuplar formulas in Oscillations, Physics. We will also provide latex code of the equations. Topics include harmonic oscillations, mechanic oscillations, electric oscillations, waves in long conductors, coupled conductors and transformers, pendulums, harmonic wave, etc.

In this blog, we will introduce most popuplar formulas in Quantum Physics. We will also provide latex code of the equations. Topics of Quantum Physics include Black Body Radiation, The Compton Effect, Quantum Wave Functions, Operators in Quantum Physics, The Uncertainty Principle, The Schrödinger Equation, Parity, The Tunnel Effect, Harmonic Oscillator, Angular momentum, Spin, the Dirac Formalism, and so on.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation (Continuous-Time Finance). We will cover important topics including Standard Brownian Motion (SBM), Geometric Brownian Motion (GBM), Ito Lemma, Stochastic Integrals, Solutions to Some Common SDEs, Brownian Motion Variation, Stock Prices as a GBM, Stock Prices are Lognormal, Sharpe Ratio and Hedging, The Black-Scholes Equation, Risk-Neutral Valuation and Power Contracts.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation (Continuous-Time Finance). We will cover important topics including Standard Brownian Motion (SBM), Geometric Brownian Motion (GBM), Ito Lemma, Stochastic Integrals, Solutions to Some Common SDEs, Brownian Motion Variation, Stock Prices as a GBM, Stock Prices are Lognormal, Sharpe Ratio and Hedging, The Black-Scholes Equation, Risk-Neutral Valuation and Power Contracts.

In this blog, we will summarize the latex code of most popular equations for financial engineering. We will cover important topics, including Black-Scholes formula, Value at Risk(VaR), etc.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation part I-Forwards, Puts, and Calls. We will cover important topics including Forwards, Put-Call Parity, Calls and Puts with Different Strikes, Calls and Puts Arbitrage, Call and Put Price Bounds, Varying Times to Expiration, Early Exercise for American Options, etc.

In this blog, we will summarize the latex code of most popular formulas and equations for Financial Engineering Formula and Equation Monte-Carlo Simulations and Interest Rate Models. We will cover important topics including Monte-Carlo Simulations, Bonds and Interest Rates, Black-Derman-Toy (BDT) model and Cox-Ingersoll-Ross (CIR) model.

In this blog, we will summarize the latex code of most popular formulas and equations for Microeconomics, Economics. We will cover important topics, including Allocative Efficiency Condition, Annuities Due, Average Fixed Cost, Average Product, Average Revenue, Average Total Cost, Average Variable Cost ,Compound Interest, Cross-Price Elasticity of Demand, Effective Rate, Elasticity of Supply, Factor of Production Hiring Rule, Future Value of Ordinary Annuities Marginal Cost, Marginal Revenue Product, Present Value of Ordinary Annuities, Simple Interest ,Distributive Efficiency Condition, Gini Coefficient, Marginal Factor Cost MFC, Marginal Product of Labor, Marginal Revenue, Marginal Revenue Product of Labor MRPL, Optimal Combination of Resources Condition, Optimal Consumption Rule, Price Elasticity of Demand, Price for a Competitive Firm, Production Efficiency Condition, Profit, Profit-Maximizing Output Level, Slope of the Total Product Curve, Socially Optimal Level of Output, Total Costs, etc.

In this blog, we will summarize the latex code for equations of CFA Level I exam, Formula Sheet Equations and Latex Code, and provide Chatbot as AI Assistant to facilitate your reading. You can ask question like what is "Real GDP" in the chatbox. Topics in the blog include three major parts of CFA Level I exam: QUANTITATIVE, ECONOMICS and FINANCIAL REPORTING. Detailed topics include THE TIME VALUE OF MONEY, Future Value, Present Value, Effective Annual Rate, Continuous Compounding, Ordinary Annuity, Annuity Due, Perpetuity, STATISTICAL CONCEPT AND MARKET RETURNS, Fisher Skewness, Kurtosis, Two-asset portfolio, Three-asset portfolio, Microeconomics, Simple Interest, Effective Rate, Future Value of Ordinary Annuities, Annuities Due, Present Value of Ordinary Annuities, Allocative Efficiency Condition, Average Fixed Cost; Macroeconomics Investment, Aggregate Expenditure Without Government or Foreign Sectors, Marginal Propensity to Consume MPC, Marginal Propensity Save MPS, Sum of Marginal Propensity to Save and Marginal Propensity to Consume, Autonomous Spending Multiplier, Balanced Budget Multiplier, Banks Reserve Ratio, Nominal Interest Rate, Real GDP, Real Interest Rate, Tax Multiplier, Unemployment Rate. FINANCIAL REPORTING and ANALYSIS, Basic EPS, Diluted EPS, Balance Sheet, Free Cash Flow to the Firm, Cash Flow Performance Ratio, Cash Flow To Revenue Ratio, Cash Return On Assets, Cash Return On Assets, Cash Return On Equity, Activity Ratio, Inventory Turnover, Days of Inventory On Hand (DOH), Receivables Turnover, Days of Sales Outstanding, etc.

In this blog, we will summarize the latex code for equations and formula sheet of CFA Level II exam, Formula Sheet Equations and Latex Code. Topics include QUANTITATIVE METHODS, such as LINEAR REGRESSION, MULTIPLE REGRESSION, TIME SERIES ANALYSIS, Machine Learning, ECONOMICS, Exchange rate, Covered interest rate parity, Uncovered interest rate parity, Relative purchasing power parity, Fisher and international Fisher effects, FX carry trade, Mundell-Fleming model, ECONOMIC GROWTH, Growth accounting equation, Labor productivity growth accounting equation, Classical growth model (Malthusian model), Neoclassical growth model (Solow’s model), Endogenous growth model, Convergence, ECONOMICS OF REGULATION. The data source of this blog is summarized from WILEY’S CFA PROGRAM LEVEL II quicksheet.

In this blog, we will summarize the latex code of most popular formulas and equations for Economics-MacroEconomics. We will cover important topics, including Investment, Aggregate Expenditure Without Government or Foreign Sectors, Marginal Propensity to Consume MPC, Marginal Propensity Save MPS, Sum of Marginal Propensity to Save and Marginal Propensity to Consume, Autonomous Spending Multiplier, Balanced Budget Multiplier, Banks Reserve Ratio, Budget Deficit, Financial Account Balance, Consumer Price Index CPI, Consumption Function, Current-Account Balance, Equality of Leakages and Injections, Equation of Exchange, Gross Domestic Product GDP, Gross Domestic Product Deflator, Inflation Between Two Years, Merchandise Trade Balance, Nominal Interest Rate, Real GDP, Real Interest Rate, Tax Multiplier, Unemployment Rate, etc.

In this blog, we will summarize the latex code for equations of CFA Level I exam, Formula Sheet Equations and Latex Code, and provide Chatbot as AI Assistant to facilitate your reading. You can ask question like what is "Real GDP" in the chatbox. Topics in the blog include three major parts of CFA Level I exam: QUANTITATIVE, ECONOMICS and FINANCIAL REPORTING. Detailed topics include THE TIME VALUE OF MONEY, Future Value, Present Value, Effective Annual Rate, Continuous Compounding, Ordinary Annuity, Annuity Due, Perpetuity, STATISTICAL CONCEPT AND MARKET RETURNS, Fisher Skewness, Kurtosis, Two-asset portfolio, Three-asset portfolio, Microeconomics, Simple Interest, Effective Rate, Future Value of Ordinary Annuities, Annuities Due, Present Value of Ordinary Annuities, Allocative Efficiency Condition, Average Fixed Cost; Macroeconomics Investment, Aggregate Expenditure Without Government or Foreign Sectors, Marginal Propensity to Consume MPC, Marginal Propensity Save MPS, Sum of Marginal Propensity to Save and Marginal Propensity to Consume, Autonomous Spending Multiplier, Balanced Budget Multiplier, Banks Reserve Ratio, Nominal Interest Rate, Real GDP, Real Interest Rate, Tax Multiplier, Unemployment Rate. FINANCIAL REPORTING and ANALYSIS, Basic EPS, Diluted EPS, Balance Sheet, Free Cash Flow to the Firm, Cash Flow Performance Ratio, Cash Flow To Revenue Ratio, Cash Return On Assets, Cash Return On Assets, Cash Return On Equity, Activity Ratio, Inventory Turnover, Days of Inventory On Hand (DOH), Receivables Turnover, Days of Sales Outstanding, etc.

In this blog, we will summarize the latex code for equations and formula sheet of CFA Level II exam, Formula Sheet Equations and Latex Code. Topics include QUANTITATIVE METHODS, such as LINEAR REGRESSION, MULTIPLE REGRESSION, TIME SERIES ANALYSIS, Machine Learning, ECONOMICS, Exchange rate, Covered interest rate parity, Uncovered interest rate parity, Relative purchasing power parity, Fisher and international Fisher effects, FX carry trade, Mundell-Fleming model, ECONOMIC GROWTH, Growth accounting equation, Labor productivity growth accounting equation, Classical growth model (Malthusian model), Neoclassical growth model (Solow’s model), Endogenous growth model, Convergence, ECONOMICS OF REGULATION. The data source of this blog is summarized from WILEY’S CFA PROGRAM LEVEL II quicksheet.

In this blog, we will summarize the latex code for equations and the formula sheet of CFA Level III exam- Section Portfolio Management. Topics include important concepts, formulas of portfolio management, including Total Wealth, Weight of risky asset in the portfolio, Effective Annual Rate EAR, Marginal contribution to total risk MCTR, Actual contribution to total risk ACTR, Percentage of risk contributed by position, Ratio of excess return to MCTR, The Fama-French model, Objective function to maximize utility, Expected after tax return of a bond, Expected after tax return of equities, Expected after tax standard deviation, and After tax rebalancing range. Tag: Portfolio Management,CFA III,AI course

In this blog, we will summarize the latex code of most popular equations and formulas for Equilibrium, Chemistry. The topics include Acid Ionization Constant, Base Ionization Constant, Relationship of Conjugate Acidâ??Base Pair, Negative Logarithms Relationship of Conjugate Acidâ??base Pair, Buffer Design Equation, Gas Pressure and Concentration Relationship, Ion Product Constant for Water, pH and pOH Relationship, pH Definition, pOH Definition, pKa Definition, pKb Definition, pOH and Base Ionization Equilibrium Constant Relationship.

The 20 useful tricks to tell if Louis Vuitton bags are real or fake. This guidance introduces some useful tricks to tell the Authenticity of your Louis Vuitton bags, which is applied to different models of bags of Louis Vuitton designer handbags series, including Louis Vuitton Speedy, Louis Vuitton Alma, Louis Vuitton Neverfull, Louis Vuitton Twist, Louis Vuitton Petite Boite Chapeau, Louis Vuitton Looping Bag, Louis Vuitton Pochette Accessoires Bag, Louis Vuitton Capucines Bag, Louis Vuitton Noé Bag, Louis Vuitton Petite Malle Bag, etc. First of all, you can check the appearance of the Louis Vuitton bags, including the Printing of LV Logo Letters on the Gags, Granularity of letters on the leather should be clean and tight, the appearance of metal zipper, the letters on the washing labels, etc.

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Chase" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Skye" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

20 Tricks to Tell if Rolex Watch is Real or Fake

The 20 useful tricks to tell if Louis Vuitton bags are real or fake. This guidance introduces some useful tricks to tell the Authenticity of your Louis Vuitton bags, which is applied to different models of bags of Louis Vuitton designer handbags series, including Louis Vuitton Speedy, Louis Vuitton Alma, Louis Vuitton Neverfull, Louis Vuitton Twist, Louis Vuitton Petite Boite Chapeau, Louis Vuitton Looping Bag, Louis Vuitton Pochette Accessoires Bag, Louis Vuitton Capucines Bag, Louis Vuitton Noé Bag, Louis Vuitton Petite Malle Bag, etc. First of all, you can check the appearance of the Louis Vuitton bags, including the Printing of LV Logo Letters on the Gags, Granularity of letters on the leather should be clean and tight, the appearance of metal zipper, the letters on the washing labels, etc.

The 20 useful tricks to tell if your Chanel bags are real or fake. This guidance introduces some useful tricks to tell the authenticity of your Chanel bags, which are applied to different series, including Mademoiselle Chanel 2.55, Reissue 2.55 Flap Bag, Classic Flap (CF), Le Boy, Gabrielle, Wallet on Chain, GRAND SHOPPING TOTE (GST), Coco Handle, etc. First of all, you can check the appearance of the Chanel bags, including Chanel Logo Letters on the bags, Interior Leather of the Bags, Letters Carved on the Button, Screw of the Metal Plate, Double-C Metal Logo, etc.

The 20 useful tricks to tell if Hermes bags are real or fake. This guidance is applied to most lines of Hermes bags, including Birkin, Kelly, Evelyne, Constance, etc. You can also visit the official website of Hermes and compare apply the information from this tutorial to help you check important details of the authentification of luxury Hermes bags. The easiest way to tell if a Hermes bag is real or fake is to judge by its appearance. You can check the printing of Hermes logo letters on the bags, granularity of letters on the leathers, the appearance of metal zipper, the letters carved on the metal parts, the logo printed on the dust bags, the stitches on the hands of bags, etc.

How to tell if Gucci bags are real or fake. This guidance is applied to most lines of Cucci bags, including Lophidia, Dionysus, GG Marmont, Supreme & Retro, etc. You can also visit the official website of Gucci and apply the information from this tutorial to help you check important details of the authentification of luxury Gucci bags. The easiest way to tell if a Gucci bag is real or fake is to judge by its appearance. You can check the serial number on the leather plate, the shape of trademark and letters of Gucci Logo on the bags, the appearance of metal zipper, the double-G metal logo in the front, the washing labels, the metal button, etc.

The 20 useful tricks about how to tell if Dior bags are real or fake. This guidance is applied to most lines of Dior bags, including Dior Book Tote, Saddle Bags with Strap, 30 Montaigne East-West Bag with Chain, Small/Medium/Large Dior Toujours Bags, D-Vibe Bowling Bags, Lady Dior Bags, Lady D-Sire My ABCDior Bags, etc. You can also visit the official website of Dior (https://www.dior.com) and apply the information from this tutorial to help you check important details of the authentification of luxury Dior bags. The easiest way to tell if a Dior bag is real or fake is to judge by its appearance. You can check the "Christian Dior" logo on the leather plate, the appearance of metal zipper, inner corner of the large logo 'D', the serial numbers on the leather plate, the abbreviation of "CD" on the metal part, and the accessories on Dior bags.

The 20 useful tricks to tell if Prada Bags are Real or Fake. This guidance is applied to most lines of Prada bags, including Prada Re-Edition, Leather Handbag, Leather Tote Bag, Wicker and leather Prada Arque bag, Crochet tote bag, Prada Arqué crochet shoulder bag, Prada Buckle medium leather handbag with belt, Prada Re-Edition 1978, Prada Galleria Saffiano Leather Bag, etc. You can also visit the official website of Prada (https://www.prada.com) and apply the information from this tutorial to help you check important details of the authentification of luxury Prada bags. The easiest way to tell if a Prada bag is real or fake is to judge by its appearance. You can check the letters of Prada logo, the letters of

The 20 useful tricks to tell if Coach Bags are Real or Fake. This guidance is applied to most lines of Coach bags, including COACH RACHEL PHONE CROSSBODY BAG, COACH REVERSIBLE CITY TOTE BAG, COACH PRAIRIE SATCHEL BAG, COACH MARLON HOBO BAG, COACH DREAMER IN COLORBLOCK WITH WHIPSTITCH BAG, COACH DRAWSTRING CARRYALL BAG, COACH TOWN BUCKET BAG, COACH ROWAN SATCHEL BAG, COACH Mollie Bucket Bag, COACH Val Duffle BAG, COACH Gallery Tote BAG, COACH Mini Klare CROSSBODY BAG, etc. You can also visit the official website of Coach (https://www.coach.com) and apply the information from this tutorial to help you check important details of the authentification of Coach bags. The easiest way to tell if a Coach bag is real or fake is to judge by its appearance. You can check the Coach logo and the sign of horse and carriage, the leather plate, the serial number and coach story patch, text on the washing labels and origin of manufacturing, metal zipper, and the paper tag with bar code, etc.

The 20 useful tricks to tell if Fendi Bags are Real or Fake. This guidance is applied to most lines of Fendi bags, including FF Raffia Crochet Shopper, Reversible Shopper in Pequin Striped, Baguette Pouch, Fendigraphy mini, Baguette Mini, Fendigraphy Mini, Mon Tresor, Baguette, Small Roll, By the Way Mini, Sunshine Small, C'mon Small, etc. You can also visit the official website of Fendi (https://www.fendi.com) and apply the information from this tutorial to help you check important details of the authentification of Fendi bags. The easiest way to tell if a Fendi bag is real or fake is to judge by its appearance. You can check the Fendi logo printed on the washing label, the RFID authentification chips, the letters printed on the leather patch, the shape of scissors on the Label, and the Double F Logo, etc.

The 20 useful tricks to tell if IWC Schaffhausen watches are Real or Fake. This guidance is applied to most series of IWC Schaffhausen watches, including IWC PORTUGIESER ETERNAL CALENDAR, IWC Pilot Watches, IWC Portofino, IWC INGENIEUR, IWC AQUATIMER, IWC CERALUME, etc. You can also visit the official website of IWC Schaffhausen (https://www.iwc.com) and apply the information from this tutorial to help you check important details of the authentification of IWC watches. In this blog, we will compare two PORTUGIESER watches to show you the tricks and it's also applied to other IWC watch series. First of all, you can tell if IWC watch is real or fake by its appearance. Additionally, if you have the instruments to open the watches, you can also check the interior of watches and movement to see if they are correct and genuine with the official models.

The 20 useful tricks to tell if Omega watch is real or fake. This guidance is applied to almost all Omega models, including SEAMASTER, SPEEDMASTER, DE VILLE, CONSTELLATION, etc. First of all, you can check the Omega Watch Appearance, including Metallic logo VS Paint Print Logo, Serial Number, Letters Engraved Have Clear Edges, Letters of Calendar, Movement Has Only One Claw, Shape of the Engraved Graphics, Letters engraved inside panel are deep and clear, Hands should be Sharp. Secondly, you can perform detailed examination of the Omega Movement, including popular models of 8500, 8800, 9300 movements.

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Chase" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Skye" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

In this blog, we will introduce how to use ChatGPT stock analysis chatbot to quickly generate professional charts of financial data. A few AI techniques such as RAG (Retrieval Augmented Generation), Text2SQL, and Larget Language Models (LLM) are used to help users find financial data, draw chart to compare key metrics, and adjust the color and shape of the chart using simple natural language prompts. A typical scenrio for professional financial analysts is to draw chart to compare the market capitalization, PE ratio of stocks from global market in converted currencies (US Dollars for example). This is a frequent scenario of daily workflow. The snapshots of AI generated charts is shown using DeepNLP Financial Assistant. You can try by clicking the button below the page, copy and paste the query in the chatbox and ask AI to generate charts or tables in few seconds, copy the charts to your reports or send to your manager. From the chart, we can see that on January 15th, Microsoft (MSFT) market cap reaches 2,887 Billon US dollars, and Apple (AAPL) reaches 2,874.68 Billion US dollars. Microsoft's market cap surpassed Apple and became the company of largest market capitalization in United States. The real-time stock data is from the web APIs, and converted to SQL using Text2SQL and LLM techniques.

In this blog, we will summarize the latex code for equations of CFA Level I exam, Formula Sheet Equations and Latex Code, and provide Chatbot as AI Assistant to facilitate your reading. You can ask question like what is "Real GDP" in the chatbox. Topics in the blog include three major parts of CFA Level I exam: QUANTITATIVE, ECONOMICS and FINANCIAL REPORTING. Detailed topics include THE TIME VALUE OF MONEY, Future Value, Present Value, Effective Annual Rate, Continuous Compounding, Ordinary Annuity, Annuity Due, Perpetuity, STATISTICAL CONCEPT AND MARKET RETURNS, Fisher Skewness, Kurtosis, Two-asset portfolio, Three-asset portfolio, Microeconomics, Simple Interest, Effective Rate, Future Value of Ordinary Annuities, Annuities Due, Present Value of Ordinary Annuities, Allocative Efficiency Condition, Average Fixed Cost; Macroeconomics Investment, Aggregate Expenditure Without Government or Foreign Sectors, Marginal Propensity to Consume MPC, Marginal Propensity Save MPS, Sum of Marginal Propensity to Save and Marginal Propensity to Consume, Autonomous Spending Multiplier, Balanced Budget Multiplier, Banks Reserve Ratio, Nominal Interest Rate, Real GDP, Real Interest Rate, Tax Multiplier, Unemployment Rate. FINANCIAL REPORTING and ANALYSIS, Basic EPS, Diluted EPS, Balance Sheet, Free Cash Flow to the Firm, Cash Flow Performance Ratio, Cash Flow To Revenue Ratio, Cash Return On Assets, Cash Return On Assets, Cash Return On Equity, Activity Ratio, Inventory Turnover, Days of Inventory On Hand (DOH), Receivables Turnover, Days of Sales Outstanding, etc.

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Chase" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

Hi parents and kids, this free online AI course "Use generative AI to Draw Paw Patrol Dog Skye" will gives your K12 kids a brief introduction to what is Artificial Intelligence (AI) technology, what can AI accomplish (such as AI Generated Contents converting text to image, Chatbots giving automatic response), and how does AI work in the easiest way that even K12 children can understand. This course covers some fundamental concepts of AI, including what neural networks is, what's the most popular neural network blocks of AI models (Transformers, Diffusion, etc.). Finally, kids can also participate by interacting with the AI during the course, by clicking the image or text with 'robot' icon or button, and get more detailed explanation, type a query or ask question using microphone by themselves, and accomplish the task of generating a picture of unique Paw Patrol Dogs and get the trophy. This course will takes around 20 minutes to complete. And all the interactive learning sessions in the course are designed by experienced children-education professionals. Let's get started!

In this blog, we will summarize the latex code for equations and formula sheet of CFA Level II exam, Formula Sheet Equations and Latex Code. Topics include QUANTITATIVE METHODS, such as LINEAR REGRESSION, MULTIPLE REGRESSION, TIME SERIES ANALYSIS, Machine Learning, ECONOMICS, Exchange rate, Covered interest rate parity, Uncovered interest rate parity, Relative purchasing power parity, Fisher and international Fisher effects, FX carry trade, Mundell-Fleming model, ECONOMIC GROWTH, Growth accounting equation, Labor productivity growth accounting equation, Classical growth model (Malthusian model), Neoclassical growth model (Solow’s model), Endogenous growth model, Convergence, ECONOMICS OF REGULATION. The data source of this blog is summarized from WILEY’S CFA PROGRAM LEVEL II quicksheet.

Please leave your thoughts on the best and coolest AI Generated Images.

Please leave your thoughts on free alternatives to Midjourney Stable Diffusion and other AI Image Generators.

Please leave your thoughs on the most scary or creepiest AI Generated Images.

We are witnessing great success in recent development of generative Artificial Intelligence in many fields, such as AI assistant, Chatbot, AI Writer. Among all the AI native products, AI Search Engine such as Perplexity, Gemini and SearchGPT are most attrative to website owners, bloggers and web content publishers. AI Search Engine is a new tool to provide answers directly to users' questions (queries). In this blog, we will give some brief introduction to basic concepts of AI Search Engine, including Large Language Models (LLM), Retrieval-Augmented Generation(RAG), Citations and Sources. Then we will highlight some majors differences between traditional Search Engine Optimization (SEO) and Generative Engine Optimization(GEO). And then we will cover some latest research and strategies to help website owners or content publishers to better optimize their content in Generative AI Search Engines.

We are seeing more applications of robotaxi and self-driving vehicles worldwide. Many large companies such as Waymo, Tesla and Baidu are accelerating their speed of robotaxi deployment in multiple cities. Some human drivers especially cab drivers worry that they will lose their jobs due to AI. They argue that the lower operating cost and AI can work technically 24 hours a day without any rest like human will have more competing advantage than humans. What do you think?

Please leave your thoughts on whether human artists will be replaced by AI Image Generator. Some similar posts on other platforms including quora and reddit. Is art even worth making anymore, Will AI art eventually permanently replace human artists, Do you think AI will ever replace artists, Do people really think that replacing artists with ai is a good idea

In this blog, we will summarize the latex code of most fundamental equations of multi-task learning(MTL) and transfer learning(TL). Multi-Task Learning aims to optimize N related tasks simultaneously and achieve the overall trade-off between multiple tasks. Typical network structure include shared-bottom models, Cross-Stitch Network, Multi-Gate Mixture of Experts (MMoE), Progressive Layered Extraction (PLE), Entire Space Multi-Task Model (ESSM) models and etc. Different from multi-task learning. In the following sections, we will dicuss more details of MTL equations, which is useful for your quick reference.

In this blog, we will give you a brief introduction of most recent progress in On-Device Recommendation (Edge Recommendation) in real-world applications. Mobile AI systems and applications have been more popular due to increasing number of mobile devices and technology developments in deep learning based methods, e.g. model compression, distillation and so on. In recent years, on-device recommendations have enpowered many Mobile Apps to better respond to users' most real-time behaviors on mobile deivces, including clicks, scroll-donwns, likes, and many others. We will introduce three applications, including EdgeRec in Taobao, searchbar background words reranking in Alipay, search result reranking in Meituan-Dianping, short-video recommendation in KuaiShou, TfLite Implementation of Tensorflow, etc.

Cheatsheet of Latex Code for Most Popular Causual Inference and Uplift modelling Equations

In this blog, we will summarize the latex code of most popular kernel methods and Gaussian Process models, including Support Vector Machine (SVM), Gaussian Process (GP) and Deep Kernel Learning(DKL).

In this blog, we will summarize the latex code of most fundamental equations of Few-Shot Learning and Zero-Shot Learning. Few-Shot Learning learns from a few-labelled examples and better generalize to unseen examples. Typical works includes Prototypical Networks, Model-Agnostic Meta-Learning (MAML), etc.

In this blog, we will summarize the latex code of most popular equations and formulas for Atomic Structure, Electrochemistry, Thermochemistry, Chemistry. The topics include Bohr Radius, De Broglie Wavelength, Linear Momentum, Planck Quantized Energy Equation, Radii of stable orbits in Bohr model, Energy and Principal Quantum Number, Rydberg Equation, Speed of Light, Cell Voltage, Electric Current, Reaction Quotient, Equilibrium Constant and Cell Voltage, Enthalpy Change,Entropy Change, Gibb Free Energy Change, Specific Heat Capacity to Heat Equation, etc.

In this blog, we will summarize the latex code of most fundamental equations of GPT (Generative Pre-trained Transformer) Models. This blog will cover many popular GPT models, including GPT1, GPT2, GPT3, GPT4, InstructGPT, ChatGPT, etc.

In this blog, we will summarize the latex code of equations of Graph Neural Network(GNN) models, which are useful as quick reference for your research. For common notation, we denote G=(V,E) as the graph. V as the set of nodes with size |V|=N, and E as the set of N_e edges as |E| = N_e. A is denoted as the adjacency matrix. For each node v, we use h_v and o_v as hidde state and output vector of each node.

In this blog, we will summarize the latex code of most fundamental equations of reinforcement learning (RL). This blog will cover many topics, including Bellman Equation, Markov Decision Process(MDP), Partial Observable Markov Decision Process(POMDP), DQN, A3C, etc.

In this blog, we will introduce 4 ways to use ChatGPT powered chatbot to gain real-time information of global stock markets and accelerate your working productivity. The global financial stock market's realtime data is usually seperated across different websites globally, including NASDAQ, NYSE, London Stock Change(LSE), Hongkong Stock Exchange(HKEX), Tokyo stock Exchange(TSE), National Stock Exchange in India (NSE), SHANGHAI/SHENZHEN stock Exchange, etc. Use ChatGPT powered Chatbot can help query stock prices from diffent market, compare them in a single question in the natural languange manner. For example, you can ask Chatbot a question: "Stock price of Tesla, Shell and Alibaba" in a single question. You can gain also more information from there different global markets at the same time (NASDAQ, London Stock Exchange and Hongkong Stock Exchange, etc). Additionally, you can also ask more specific questions like financial data including PE ratio, Market Capitalization (Market Cap), High Price of a particular stocks. Comparing the financial data performance, such as stock price, market cap, pe ratio of multiple stocks are also a frequent way of using Chatbot. Also you can ask the chatbot to help you plot a table or chart to compare the stocks, which you can just copy and paste to your daily financial report.

Ranking is a crucial part of modern commercial recommendation and advertisement system. It aims to solve the problem of accurate click-through rate(CTR) prediction. In this article, we will provides some of most popular ranking equations of commercial recommendation or ads system.

In this blog, we will summarize the latex code of most fundamental and popular knowledge graph (KG) Equations, with special focus on the link prediction tasks. We will cover a wide range of models, including TransE, TransR, TransE, RotatE, SME(Linear), SimplE etc. Knowledge Graph consists of a set of triples [(h, r, t)]. h and t denotes the head node and tail node respectively. And r denotes multiple relation types. One common solution to the link prediction tasks is to learn low-dimensional embeddings of entities(E) and relations (R), and infer the missing part of [(?, r, t), (h, ?, t), (h, r, ?)].

In this blog, we will summarize the latex code for complex variables formulas, including complex numbers, De Moivreâ??s theorem and power series for complex variables e^{z}, sin(z), cos(z), ln(1+z), (1+z)^{n}, etc.

This blog summarizes the latest research development of Retrieval papers published in KDD2023 conferences. This year there are total 8 papers related to Retrieval in KDD2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

In this blog, we are introducing how you can use financial chatbot and AI-assistant writer to help you facilitate daily financial work, such as getting realtime stock price quote from global markets (US: NYSE,NASDAQ; China: HKEX, Shanghai,Shenzhen, etc.), consulting investment advice, consensus ratings and target price of stocks from analysts of multiple organizations (Schwab.com, MarketBeats, Zacks.com) and compare them, finding the meaning of complicated financial terms such as CPI, Put Option, Sharpe Ratio. You can also use ChatGPT to act as personally financial assistant, track your portfolio's stock names and show realtime changes. For content generation, you can use the AI-Writer assistant to facilitate writing reports, which integrates many APIs and other ChatGPT style Large Language Model to automatically generate text contents such as market research, financial reports of listed companies, etc.

This blog summarizes the latest research development of GNN papers published in KDD2023 conferences. This year there are total 9 papers related to GNN in KDD2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

In this blog, we will show you how simple it is to write a python spider to crawl realtime stock quotes from Hong Kong Stock Market (HKEX) official website. We will use the common python lib "requests" and "BeautifulSoup". And the complete code is also attached to this blog. We use Tencent(stock code: 700) as an example to show you how to to download the realtime stock price quote from HKEX's official website

This blog summarizes the latest research development of Recommendation papers published in KDD2023 conferences. This year there are total 44 papers related to Recommendation in KDD2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

In this blog, we will show you 3 easy steps to create your personal financial chatbot assistant powered by ChatGPT. ChatGPT is Large Language Model (LLM) based Artificial Intelligent service created by OpenAI company, who just released their latest Assistant API for chatbot creation. These AI assistants are very useful in financial industries. Common use cases include: Generating realtime stock price quotes, Analyzing financial data, Providing investment advices, generating summary of financial reports, etc. Keywords: Financial Chatbot, Financial ChatGPT, Chatbot Stock Price, Chatbot NYSE, Chatbot.

This blog summarizes the latest research development of Knowledge Graph papers published in KDD2023 conferences. This year there are total 11 papers related to Knowledge Graph in KDD2023. Most of the authors' affiliations are top research institutes (Google Research, DeepMind, Meta FAIR) and universities (Stanford, Berkeley, MIT, CMU and others).

We are seeing more applications of robotaxi and self-driving vehicles worldwide. Many large companies such as Waymo, Tesla and Baidu are accelerating their speed of robotaxi deployment in multiple cities. Some human drivers especially cab drivers worry that they will lose their jobs due to AI. They argue that the lower operating cost and AI can work technically 24 hours a day without any rest like human will have more competing advantage than humans. What do you think?

We are seeing more applications of robotaxi and self-driving vehicles worldwide. Many large companies such as Waymo, Tesla and Baidu are accelerating their speed of robotaxi deployment in multiple cities. Some human drivers especially cab drivers worry that they will lose their jobs due to AI. They argue that the lower operating cost and AI can work technically 24 hours a day without any rest like human will have more competing advantage than humans. What do you think?

In this blog, we will summarize the latex code of equations for Diffusion Models, which are among the top-performing generative models, including GAN, VAE and flow-based models. The basic idea of diffusion models are to inject random noise to the feature vector in the forward process as markov chain models, and in the reverse process gradualy reconstruct the feature vector for generation. See below blogpost as reference for more details: Weng, Lilian. (Jul 2021). What are diffusion models? Lilâ??Log. lilianweng.github.io/posts/2021-07-11-diffusion-models/

利用tensorflow训练深度神经网络模型需要消耗很长时间，因为并行化计算就为提升运行速度提供了重要思路。Tensorflow提供了多种方法来使程序的并行运行，在使用这些方法时需要考虑的问题有：选取的计算设备是CPU还是GPU，每个CPU多少核的资源并行计算，构建图Graph时消耗资源如何分配等等问题。下面我们以Linux多核CPU的环境为例介绍几种常见方法来提升你的tensorflow程序的运行速度。

Cross-Domain Recommendation in Commercial Recommendation System With application of MMD and Wasserstein distance

In this post, we will talk about some real-world applications of deep candidates generation (vector-retrieval) models in the matching stage of recommendation scenario. Commercial recommendation system will recommend tens of millions of items to each user. And the recommendation process usually consists of two stages: The first stage is the candidate generation(matching) stage, a few hundred candidates are selected from the pool of all candidate items. The second stage is the ranking stage in which hundreds of items are ranked and sorted by the ranking score. Then the top rated items are displayed to users.