Search Results for author: Pravesh Kothari

Found 7 papers, 1 papers with code

Outlier-Robust Clustering of Non-Spherical Mixtures

no code implementations6 May 2020 Ainesh Bakshi, Pravesh Kothari

Concretely, our algorithm takes input an $\epsilon$-corrupted sample from a $k$-GMM and whp in $d^{\text{poly}(k/\eta)}$ time, outputs an approximate clustering that misclassifies at most $k^{O(k)}(\epsilon+\eta)$ fraction of the points whenever every pair of mixture components are separated by $1-\exp(-\text{poly}(k/\eta)^k)$ in total variation (TV) distance.

Clustering

Provable Submodular Minimization using Wolfe's Algorithm

no code implementations NeurIPS 2014 Deeparnab Chakrabarty, Prateek Jain, Pravesh Kothari

In 1976, Wolfe proposed an algorithm to find the minimum Euclidean norm point in a polytope, and in 1980, Fujishige showed how Wolfe's algorithm can be used for SFM.

Agnostic Learning of Disjunctions on Symmetric Distributions

no code implementations27 May 2014 Vitaly Feldman, Pravesh Kothari

This directly gives an agnostic learning algorithm for disjunctions on symmetric distributions that runs in time $n^{O( \log{(1/\epsilon)})}$.

Tight Bounds on $\ell_1$ Approximation and Learning of Self-Bounding Functions

no code implementations18 Apr 2014 Vitaly Feldman, Pravesh Kothari, Jan Vondrák

Previous techniques considered stronger $\ell_2$ approximation and proved nearly tight bounds of $\Theta(1/\epsilon^{2})$ on the degree and $2^{\Theta(1/\epsilon^2)}$ on the number of variables.

Learning Coverage Functions and Private Release of Marginals

no code implementations8 Apr 2013 Vitaly Feldman, Pravesh Kothari

As an application of our learning results, we give simple differentially-private algorithms for releasing monotone conjunction counting queries with low average error.

Representation, Approximation and Learning of Submodular Functions Using Low-rank Decision Trees

no code implementations2 Apr 2013 Vitaly Feldman, Pravesh Kothari, Jan Vondrak

We show that these structural results can be exploited to give an attribute-efficient PAC learning algorithm for submodular functions running in time $\tilde{O}(n^2) \cdot 2^{O(1/\epsilon^{4})}$.

Attribute PAC learning

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