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All Blog Posts Tagged 'Mathematics' (6)

How the Mathematics of Fractals Can Help Predict Stock Markets Shifts

In financial markets, two of the most common trading strategies used by investors are the momentum and mean reversion strategies. If a stock exhibits momentum…

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Added by Marco Tavora on July 4, 2019 at 12:30am — 1 Comment

Create Transformed, N-Dimensional Polygons with Covariance Matrix

The covariance matrix has many interesting properties, and it can be found in mixture models, component analysis, Kalman filters, and more. Developing an intuition for how the covariance matrix operates is useful in understanding its practical implications. This article will focus on a few important properties, associated proofs, and then some interesting practical applications, i.e., extracting transformed polygons from a Gaussian mixture's covariance matrix.

I have often found that…

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Added by Rohan Kotwani on May 26, 2019 at 7:30am — No Comments

The Approximation Power of Neural Networks (with Python codes)

Introduction

It is a well-known fact that neural networks can approximate the output of any continuous mathematical function, no matter how complicated it might be. Take for instance the function below:…

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Added by Marco Tavora on May 1, 2019 at 4:52am — No Comments

Maslow's Hierarchy of Data Science: Why Math and Science Still Matter

As an academic discipline, the rate of maturation for data science should be measured in light years. Although it's really only about 10 years old as a field of study – with the first Ph.D. program in the country emerging just four years ago – most, major universities across the world have integrated data science into their portfolio of degree options. Universities…

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Added by Jennifer Lewis Priestley on February 12, 2019 at 10:52am — No Comments

An Application of Data Science and Mathematics in Finance

Imagine that one day, you see people are queuing up in front of Bank A; so you ask the staff at the counter, you are told that they are offering anyone (regardless of their credit history) a loan of $100,000 at a fixed annual rate at 2%. You then look around, the Bank B next door offers 1-year term deposit with a fixed annual rate at 3% for the same amount ($100,000). After 5 minutes' waiting, you sign for the loan from Bank…

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Added by Zhongmin Luo on November 21, 2018 at 2:30pm — 2 Comments

Learning Mathematics for Data Science

I am halfway through my journey of being enough Mathematically literate to understand and work comfortably with Data Science books, posts, articles and journals. I wrote about my learning sabbatical earlier here.  Before I go on I want to reiterate few things which have established my way of learning and working.  Whenever I want to learn…

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Added by Arnuld on November 13, 2018 at 8:30pm — 1 Comment

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