Search Results for author: Dmitrii Avdiukhin

Found 7 papers, 1 papers with code

Optimal Sample Complexity of Contrastive Learning

no code implementations1 Dec 2023 Noga Alon, Dmitrii Avdiukhin, Dor Elboim, Orr Fischer, Grigory Yaroslavtsev

Contrastive learning is a highly successful technique for learning representations of data from labeled tuples, specifying the distance relations within the tuple.

Contrastive Learning Learning Theory

HOUDINI: Escaping from Moderately Constrained Saddles

no code implementations27 May 2022 Dmitrii Avdiukhin, Grigory Yaroslavtsev

We give the first polynomial time algorithms for escaping from high-dimensional saddle points under a moderate number of constraints.

Open-Ended Question Answering

Escaping Saddle Points with Compressed SGD

no code implementations NeurIPS 2021 Dmitrii Avdiukhin, Grigory Yaroslavtsev

Gradient compression methods can be used to alleviate this problem, and a recent line of work shows that SGD augmented with gradient compression converges to an $\varepsilon$-first-order stationary point.

Objective-Based Hierarchical Clustering of Deep Embedding Vectors

no code implementations15 Dec 2020 Stanislav Naumov, Grigory Yaroslavtsev, Dmitrii Avdiukhin

In order to address the challenge of scaling up hierarchical clustering to such large datasets we propose a new practical hierarchical clustering algorithm B++&C.

Clustering Playing the Game of 2048 +4

"Bring Your Own Greedy"+Max: Near-Optimal $1/2$-Approximations for Submodular Knapsack

1 code implementation12 Oct 2019 Dmitrii Avdiukhin, Grigory Yaroslavtsev, Samson Zhou

Our analysis is based on a new set of first-order linear differential inequalities and their robust approximate versions.

Recommendation Systems

Adversarially Robust Submodular Maximization under Knapsack Constraints

no code implementations7 May 2019 Dmitrii Avdiukhin, Slobodan Mitrović, Grigory Yaroslavtsev, Samson Zhou

We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings.

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