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A Case for Abstraction

Oct 31 2025 · 5 min read
#abstract #art

There’s this common joke when studying linear algebra that goes like this. A student asks the teacher how do you visualize 4-dimensional spaces? To which the professor replies “Oh, I just …

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State Space Models: How Control Theory can echo Machine Learning

Oct 6 2025 · 6 min read
#ml #controls #state_space_models #linear_algebra

I wrote in a previous post how transformers are kind of like system identification methods applied to some sequence in a state space. In this post we try to understand if the other way round is …

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How Transformers Echo Control Theory

Sep 27 2025 · 6 min read
#ml #controls

Transformer models have captivated a lot of AI research in most of the past decade, and in this post my goal is to make them seem more interesting to controls people, who have much to contribute to …

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On Eigenvalues, Homotopy, and Root Loci

Sep 5 2025 · 5 min read
#analysis #maths #linear_algebra

Consider an $$n+1$$ dimensional matrix as follows:

$$ A = \begin{pmatrix} \frac{\pi^2}{6} & 1 & \frac{1}{4} & ... & \frac{1}{n^2} \\ 1 & \frac{\pi^2}{6} & \frac{1}{4} & ... & \frac{1}{n^2} \\ \vdots & …

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Reward is enough — when can we "reinforce" the learning?

Aug 13 2025 · 4 min read
#rl #ml #research

This blog post summarizes the papers Settling the Reward Hypothesis1 and Utility Theory for Sequential Decision Making 2.

The reward hypothesis is at the core of Reinforcement Learning (RL) in that …

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