Article Index

My Articles in One Place

Mar 7 · 2 min read
Cambridge Public Library (source).

I decided to start building a kind of “master index” including descriptions of all my Medium articles.

Articles

In the article Deep Learning Explainability: Hints from Physics I show that deep learning and renormalization group theory are deeply interconnected. More specifically I describe in some detail a recent article showing that deep neural networks seem to “mimic” the process of zooming-out that characterizes the renormalization group process.

In the article Neural Quantum States, I discuss some recent research on the interface between machine learning and theoretical physics. I describe how Restricted Boltzmann Machines (RBMs), building blocks of deep neural networks, can be used to compute with extremely high accuracy the state of lowest energy of many-particle quantum systems (among other things).

In Machine Learning and Particle Motion in Liquids: An Elegant Link, I argue, based on recent findings, that by thinking of the stochastic gradient descent algorithm (or the mini-batch gradient descent) as a Langevin stochastic process with an extra level of randomization (implemented via the learning rate), one can better understand the reasons why the stochastic gradient descent works so remarkably well as a global optimizer.

In Connections between Neural Networks and Pure Mathematics, I argue that a few powerful theorems involving nested/composite functions, proved by Kolmogorov (1957), Arnold (1958) and Sprecher (1965), help to explain why neural networks can be used to represent almost any process in nature.

In The Approximation Power of Neural Networks, the mathematical apparatus underlying the famous representation theorems of artificial neural networks is discussed.

Marco Tavora

Written by

I’m a physicist & data scientist. I write about the connections between physics, math & A.I. | github.com/marcotav | www.marcotavora.me | twitter.com/marcotav65

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