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Marco Tavora's Blog (6)

Connections between Neural Networks and Pure Mathematics

Nowadays, artificial intelligence is present in almost every part of our lives. Smartphones, social media feeds, recommendation engines, online ad networks, and navigation tools are examples of AI-based applications that affect us on a daily basis.

Deep learning has been systematically improving the state of the art in areas such as speech recognition, autonomous driving, machine translation,…

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Added by Marco Tavora on January 5, 2020 at 5:30am — No Comments

Neural Quantum States



Picture by By Tatiana Shepeleva/shutterstock.com

One of the most challenging problems in modern theoretical physics is the so-called many-body problem. Typical many-body systems are composed of a large number of strongly interacting particles. Few such systems are amenable to exact…

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Added by Marco Tavora on January 5, 2020 at 4:30am — No Comments

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 — 3 Comments

Deep Learning Explainability: Hints from Physics


Nowadays, artificial intelligence is present in almost every part of our lives. Smartphones, social media feeds, recommendation engines, online ad networks, and navigation tools are some…

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Added by Marco Tavora on May 20, 2019 at 11:46am — No Comments

Machine Learning and Particle Motion in Liquids: An Elegant Link

The gradient descent algorithm is one of the most popular optimization techniques in machine learning. It comes in three flavors: batch or “vanilla” gradient…

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Added by Marco Tavora on May 1, 2019 at 4:57am — 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

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