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09/23/2020
Convergence of Gibbs Sampling: Coordinate Hit-and-Run Mixes Fast
The Gibbs Sampler is a general method for sampling high-dimensional dist...
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07/20/2020
Solving Sparse Linear Systems Faster than Matrix Multiplication
Can linear systems be solved faster than matrix multiplication? While th...
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06/17/2020
Socially Fair k-Means Clustering
We show that the popular k-means clustering algorithm (Lloyd's heuristic...
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11/26/2019
Matrix Decompositions and Sparse Graph Regularity
We introduce and study a matrix decomposition that is a common generaliz...
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11/26/2019
Robustly Clustering a Mixture of Gaussians
We give an efficient algorithm for robustly clustering of a mixture of a...
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11/13/2019
Strong Self-Concordance and Sampling
Motivated by the Dikin walk, we develop aspects of an interior-point the...
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05/31/2019
Human-Usable Password Schemas: Beyond Information-Theoretic Security
Password users frequently employ passwords that are too simple, or they ...
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02/28/2019
Fair Dimensionality Reduction and Iterative Rounding for SDPs
We model "fair" dimensionality reduction as an optimization problem. A c...
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10/31/2018
The Price of Fair PCA: One Extra Dimension
We investigate whether the standard dimensionality reduction technique o...
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10/28/2018
Smoothed Analysis of Discrete Tensor Decomposition and Assemblies of Neurons
We analyze linear independence of rank one tensors produced by tensor po...
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05/07/2018
Polynomial Convergence of Gradient Descent for Training One-Hidden-Layer Neural Networks
We analyze Gradient Descent applied to learning a bounded target functio...
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12/11/2017
Usability of Humanly Computable Passwords
Reusing passwords across multiple websites is a common practice that com...
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09/27/2017
Random Overlapping Communities: Approximating Motif Densities of Large Graphs
A wide variety of complex networks (social, biological, information etc....
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07/14/2017
On the Complexity of Learning Neural Networks
The stunning empirical successes of neural networks currently lack rigor...
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07/05/2017
The Complexity of Human Computation: A Concrete Model with an Application to Passwords
What can humans compute in their heads? We are thinking of a variety of ...
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08/12/2016
Chi-squared Amplification: Identifying Hidden Hubs
We consider the following general hidden hubs model: an n × n random mat...
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04/24/2016
Agnostic Estimation of Mean and Covariance
We consider the problem of estimating the mean and covariance of a distr...
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02/26/2016
Cortical Computation via Iterative Constructions
We study Boolean functions of an arbitrary number of input variables tha...
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06/25/2013