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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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Technology Readiness Levels of AI methods

Oct 15 2024 · 4 min read
#controls #autonomy #ml #research

Recent news of the SpaceX catching its Starship Super Heavy booster1 is quite discussed and marveled upon in the media, and rightly so. Executing what was done can perhaps be explained as trying to …

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Why I am studying this: Data Driven Safety

Mar 16 2022 · 2 min read
#controls #research

This is my attempt to try to motivate and justify why I am studying what I study, and to try to justify the title of my dissertation.

While most emphasis on safety has been provided from a …

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The Industry-Academia split in Control Systems

Sep 16 2019 · 2 min read
#controls

I often wonder why the “cutting edge” research that we read about in the foremost scientific journals & conferences in Control Systems are never applied in the industry. Because …

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