Inspired by @michellearning I will be sharing 10 robotics papers that I really enjoyed reading (made me think and raised my heart rate) when I was a grad student. One paper per day. Starting tonight, ending on xmas day. Here we go: ๐Ÿ‘‡๐Ÿค– 1/n

Note: this is not necessarily an exhaustive list of the best or most influential papers in robotics, nor is it a list of my current favorite papers. These are papers that I found compelling and I still enjoy re-reading from time to time. The order is random. 2/n
[Paper #1] LQR-Trees by Russ Tedrake https://t.co/nYDaHYJryk. I love this paper. It's about feedback control and motion planning with probabilistic guarantees. Given a desired goal state, sample an initial state and find a nominal trajectory from the initial state to the goal 3/n
using LQR control (linear dynamics, quadratic cost). So far, so good. Then it gets interesting: it sets out to explicitly compute the region of stability of the computed controller without doing sampling. It underestimates this region by trying to compute a Lyapunov function 4/n
that will certify stability in the region. It only considers Lyapunov functions that are polynomials of deg N and optimizes for a positive function using sums-of-squares programming. So, now you have a nominal trajectory to the goal and a region of stability around it. 5/n
Repeat this process backwards by setting the new goal to be in the computed region of stability, and you have a region of stability that grows over time and (a) covers space, (b) can lead to complex global behaviors from simple linear controllers that are locally valid, 6/n
and (c) is one way to address compositionality in control. So, does all of this work in practice? Yes, with a few asterisks: the major bottleneck is solving the sum-of-squares program that computes the region of stability. It has been shown to be practical for low-dim systems 7/n
This paper, published in ~2010, was influenced by Pablo Parrilo's PhD thesis on semidef programming (2000), as well as older ideas about funnels from Matt Mason https://t.co/4MxHCJQy7l (1985) Rob Burridge, Alfred Rizzi, and Dan Koditschek https://t.co/LjNnY0ItD3 (1999) 8/n
Some of the limitations of the LQR Trees paper were addressed by @Majumdar_Ani in his PhD thesis https://t.co/m5jcbmZ3x5 I encourage you to read it and check out his other papers https://t.co/vso7qQchGp 9/n

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Criticisms are most welcomed.
"I lied about my basic beliefs in order to keep a prestigious job. Now that it will be zero-cost to me, I have a few things to say."


We know that elite institutions like the one Flier was in (partial) charge of rely on irrelevant status markers like private school education, whiteness, legacy, and ability to charm an old white guy at an interview.

Harvard's discriminatory policies are becoming increasingly well known, across the political spectrum (see, e.g., the recent lawsuit on discrimination against East Asian applications.)

It's refreshing to hear a senior administrator admits to personally opposing policies that attempt to remedy these basic flaws. These are flaws that harm his institution's ability to do cutting-edge research and to serve the public.

Harvard is being eclipsed by institutions that have different ideas about how to run a 21st Century institution. Stanford, for one; the UC system; the "public Ivys".