Theory of Computation (TOC) Seminars

Introducing Algorithmic Thinking Theory for Foundation Models
Tuesday, October 14, 2025 - 4:15pm to 5:15pm
The last few months have witnessed tremendous advances on Large Language Model (LLM) reasoning capabilities with Gemini and GPT winning a gold medal at the International Mathematical Olympiad (IMO) [1] and International Collegiate Programming Contest (ICPC) [2].
On Beck-Fiala and Komlós Conjectures
Tuesday, October 7, 2025 - 4:15pm to 5:15pm

A conjecture of Komlós states that the discrepancy of any collection of unit vectors is O(1), i.e., for any matrix A with unit columns, there is a vector x with -1,1 entries such that |Ax|_\infty = O(1).

Sparsification of 1-in-3-SAT
Tuesday, September 16, 2025 - 4:15pm to 5:15pm

I will introduce a new notion of sparsification that doesn't drop constraints but merges variables. Using tools from additive combinatorics, I will then show that 1-in-3-SAT admits a sub-quadratic sparsifier.

A New Paradigm for Learning with Distribution Shift
Tuesday, September 9, 2025 - 4:15pm to 5:15pm

We revisit the fundamental problem of learning with distribution shift, where a learner is given labeled samples from training distribution D, unlabeled samples from test distribution D′ and is asked to output a classifier with low test error.

Explicit Lossless Vertex Expanders
Tuesday, September 23, 2025 - 4:15pm to 5:15pm

We give the first explicit construction of lossless vertex expanders. These are d-regular graphs where every small set S of vertices has (1-eps)d|S| distinct neighbors.

Deciding high-dimensional sub-Gaussian-ness in polynomial time
Tuesday, May 6, 2025 - 4:15pm to 5:15pm
Given samples from a probability distribution, can efficient algorithms tell whether the distribution has heavy or light tails?
Learning Multi-Index Models
Tuesday, April 15, 2025 - 4:15pm to 5:15pm

Multi-index models (MIMs) are functions that depend on the projection of the input onto a low-dimensional subspace.

How to Securely Implement Cryptography in Deep Neural Networks
Tuesday, April 22, 2025 - 4:15pm to 5:15pm

The wide adoption of deep neural networks (DNNs) raises the question of how can we equip them with a desired cryptographic functionality (e.g., to decr

Simulating Time With Square-Root Space
Tuesday, April 8, 2025 - 4:15pm to 5:15pm
Rapid Mixing at the Uniqueness Threshold
Tuesday, March 18, 2025 - 4:15pm to 5:15pm

Over the past decades, a fascinating computational phase transition has been identified in sampling from Gibbs distributions.

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