Search Results for author: Robert Krauthgamer

Found 7 papers, 1 papers with code

Recovery Guarantees for Distributed-OMP

no code implementations15 Sep 2022 Chen Amiraz, Robert Krauthgamer, Boaz Nadler

We study distributed schemes for high-dimensional sparse linear regression, based on orthogonal matching pursuit (OMP).

regression

Distributed Sparse Normal Means Estimation with Sublinear Communication

no code implementations5 Feb 2021 Chen Amiraz, Robert Krauthgamer, Boaz Nadler

We assume there are $M$ machines, each holding $d$-dimensional observations of a $K$-sparse vector $\mu$ corrupted by additive Gaussian noise.

Coresets for Ordered Weighted Clustering

1 code implementation11 Mar 2019 Vladimir Braverman, Shaofeng H. -C. Jiang, Robert Krauthgamer, Xuan Wu

We design coresets for Ordered k-Median, a generalization of classical clustering problems such as k-Median and k-Center, that offers a more flexible data analysis, like easily combining multiple objectives (e. g., to increase fairness or for Pareto optimization).

Data Structures and Algorithms

Do semidefinite relaxations solve sparse PCA up to the information limit?

no code implementations16 Jun 2013 Robert Krauthgamer, Boaz Nadler, Dan Vilenchik

In fact, we conjecture that in the single-spike model, no computationally-efficient algorithm can recover a spike of $\ell_0$-sparsity $k\geq\Omega(\sqrt{n})$.

Efficient Classification for Metric Data

no code implementations11 Jun 2013 Lee-Ad Gottlieb, Aryeh Kontorovich, Robert Krauthgamer

We design a new algorithm for classification in general metric spaces, whose runtime and accuracy depend on the doubling dimension of the data points, and can thus achieve superior classification performance in many common scenarios.

Classification Computational Efficiency +1

Adaptive Metric Dimensionality Reduction

no code implementations12 Feb 2013 Lee-Ad Gottlieb, Aryeh Kontorovich, Robert Krauthgamer

We study adaptive data-dependent dimensionality reduction in the context of supervised learning in general metric spaces.

Dimensionality Reduction Generalization Bounds

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