Search Results for author: Anamay Chaturvedi

Found 6 papers, 1 papers with code

Improved Learning-augmented Algorithms for k-means and k-medians Clustering

1 code implementation31 Oct 2022 Thy Nguyen, Anamay Chaturvedi, Huy Lê Nguyen

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be clustered together.

Clustering

Streaming Submodular Maximization with Differential Privacy

no code implementations25 Oct 2022 Anamay Chaturvedi, Huy Lê Nguyen, Thy Nguyen

In this work, we study the problem of privately maximizing a submodular function in the streaming setting.

Locally Private $k$-Means Clustering with Constant Multiplicative Approximation and Near-Optimal Additive Error

no code implementations31 May 2021 Anamay Chaturvedi, Matthew Jones, Huy L. Nguyen

Recent work on this problem in the locally private setting achieves constant multiplicative approximation with additive error $\tilde{O} (n^{1/2 + a} \cdot k \cdot \max \{\sqrt{d}, \sqrt{k} \})$ and proves a lower bound of $\Omega(\sqrt{n})$ on the additive error for any solution with a constant number of rounds.

Clustering

Differentially private $k$-means clustering via exponential mechanism and max cover

no code implementations2 Sep 2020 Anamay Chaturvedi, Huy Nguyen, Eric Xu

We introduce a new $(\epsilon_p, \delta_p)$-differentially private algorithm for the $k$-means clustering problem.

Clustering Privacy Preserving

Differentially Private Decomposable Submodular Maximization

no code implementations29 May 2020 Anamay Chaturvedi, Huy Nguyen, Lydia Zakynthinou

We extend this work by designing differentially private algorithms for both monotone and non-monotone decomposable submodular maximization under general matroid constraints, with competitive utility guarantees.

Learning Gaussian Graphical Models via Multiplicative Weights

no code implementations20 Feb 2020 Anamay Chaturvedi, Jonathan Scarlett

Graphical model selection in Markov random fields is a fundamental problem in statistics and machine learning.

Model Selection

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