Mathematics A Tutorial on Multi-Armed Bandits: To Explore or Exploit? The Multi-Armed Bandit problem is a classical Reinforcement Learning that shows the exploration-exploitation trade-off. In this tutorial, we will look at the problem of advertorial design and we will answer the following question: what advertorials will lead to the highest gains? Suppose we have an advertorial with a few parameters:
Mathematics Proof that 1/7 is a repeated decimal This blog post serves as an exercise and solution to the following question: In plain English: is the fraction a repeated decimal (0.142857142857142857…)? Recurring pattern How can we tackle such a problem? First note that we have to deal with a recurring pattern: a pattern that refers to itself.
Mathematics Python Matplotlib, a Helpful Tutorial In this Python Matplotlib tutorial series, you will learn how to create and improve a plot in Python using pyplot. Matplotlib is a 2D plotting library written for Python. It consists of pyplot (in the code often shortened by “plt”), which is an object oriented interface to the plotting library.
Mathematics Make a Profitable Portfolio using Python In this tutorial, you will learn how to find a combination of stocks with high expected return and low risk using Python. Disclaimer: this should not be taken as financial advice. Please do your own research while investing money and do not solely rely on the predicted outcomes. Introduction to
Mathematics Pi Day! Pi and The Basel Problem Huray! It was Pi day last week! To celebrate this, I will sketch the solution of a well-known problem in which pi shows up unexpectedly. One entertaining introduction video about this problem can be found here [https://www.youtube.com/watch?v=RZBhSi_PwHU]. The Basel Problem More than 300
Mathematics Maximize Profit and Minimize Risk with Bitcoin Price Prediction Suppose you trained an algorithm which predicts the stock market correct about 70% of all cases. Now you would like to start using your algorithm in real life. Chances are that you don’t get what you expect! On every stock market, you have to pay fees for trading (both
Mathematics Artificial Neural Nets, a gentle introduction This article explains the basics of some Artificial Neural Network models an overview of the recent history Artificial Neural Networks, from MLPs to GANs. Feel free to join the discussion! Neural Nets? Neural Networks are invented back in the mid 1980s. “Artifical” as in Artificial Neural Networks refers to the
Mathematics The Mathematics behind Search Engines In this short post, I will give an overview of some technology that is used by well-known search engines. Introduction Chances are high that you found this webpage by using a search engine. Think about that (and imagine the following if you ended up here by other means). A couple
Mathematics Summing the Fibonacci Sequence Consider the following problem (Project Euler, Problem #2): > Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, … By considering the terms in
Mathematics Project Euler using Scala: Problem #1 In this article, I will show you the strength of Scala for solving one of the mathematical problems posted on Project Euler [https://projecteuler.net/problem=1]. The problem description is as follows: Multiples of 3 and 5 > If we list all the natural numbers below 10 that are multiples
Mathematics Win with gambling: MAP estimation on a Bernoulli distribution In this article, we will try to win a (fictive) lottery called Win-Win. In fact, you will learn how to do a MAP (maximum a posteriori) estimation on a Bernoulli distribution. Don’t worry if you don’t know all these words, everything will be explained. If you already know
Mathematics Rejection Sampling: A Simple Mathematical Inspection What is rejection sampling and why would you need it? Suppose that we have a probability density function (PDF) that is impossible to analyze analytically. This is where rejection sampling can be used for: a simple to implement (yet not always effective) sampling method. Introduction Suppose we have a function
Mathematics Polynomial Curve Fitting: a Tutorial in MATLAB First of all, what is polynomial curve fitting and where is it used for? Suppose we are trading on a stock market. The stock price is going up and down (see the figure) and we want to discover patterns in the price chances if any exists. Polynomial curve fitting tries
