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Nisheeth Vishnoi

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Computationally Efficient Alternatives to Nonconvex-Nonconcave Min-Max OptimizationAdversarial Approaches in Machine Learning 20222022-02-17
Proposes a new solution concept called epsilon-greedy adversarial equilibrium that limits the maximizer to greedy paths and proves such equilibria exist for…
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An Introduction to Hamiltonian Monte Carlo Method for SamplingGeometric Methods in Optimization and Sampling Boot Camp2021-08-30
Algorithm samples by drawing a Gaussian momentum, simulating Hamiltonian flow for time T, then refreshing momentum; it removes the Metropolis accept/reject in…
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Optimization and Sampling Under Symmetry: Part 1 -- ExamplesGeometric Methods in Optimization and Sampling Boot Camp2021-08-30
Starts from two concrete claims: minimizing vAv over the complex unit sphere equals the matrix's smallest eigenvalue by recasting rank‑one projections as a…
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Entropy, Capacity, and CountingDeterministic Counting, Probability, and Zeros of Partition Functions (Simons Institute workshop, 2019)2019-03-18
Generalizes Gurvits' capacity to compute sums of polynomial coefficients over a polytope and gives a concrete algorithmic claim: with an oracle to evaluate the…
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Subdeterminant Maximization via Nonconvex Relaxations and Anti-concentrationDiscrete Optimization via Continuous Relaxation2017-09-11
Presents randomized algorithms that actually output sets for constrained subdeterminant maximization over regular matroids and partition matroids, using a…
Talk
Faster Spectral Algorithms via Approximation TheoryFast Algorithms via Spectral Methods 20142014-12-01
Uniform polynomial approximations turn matrix powers into O(M · D) work and give X^S approximants of degree about sqrt(S)·log(1/δ), so S-step walks and…
Talk
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