Search Results for author: Konstantin Makarychev

Found 12 papers, 0 papers with code

Explainable k-means. Don't be greedy, plant bigger trees!

no code implementations4 Nov 2021 Konstantin Makarychev, Liren Shan

Our randomized bi-criteria algorithm constructs a threshold decision tree that partitions the data set into $(1+\delta)k$ clusters (where $\delta\in (0, 1)$ is a parameter of the algorithm).

Clustering

Local Correlation Clustering with Asymmetric Classification Errors

no code implementations11 Aug 2021 Jafar Jafarov, Sanchit Kalhan, Konstantin Makarychev, Yury Makarychev

In the Correlation Clustering problem, we are given a complete weighted graph $G$ with its edges labeled as "similar" and "dissimilar" by a noisy binary classifier.

Classification Clustering

Correlation Clustering with Asymmetric Classification Errors

no code implementations ICML 2020 Jafar Jafarov, Sanchit Kalhan, Konstantin Makarychev, Yury Makarychev

In the Correlation Clustering problem, we are given a weighted graph $G$ with its edges labeled as "similar" or "dissimilar" by a binary classifier.

Classification Clustering

Near-optimal Algorithms for Explainable k-Medians and k-Means

no code implementations2 Jul 2021 Konstantin Makarychev, Liren Shan

This is an improvement over the previous guarantees of $O(k)$ and $O(k^2)$ by Dasgupta et al (2020).

Improved Guarantees for k-means++ and k-means++ Parallel

no code implementations NeurIPS 2020 Konstantin Makarychev, Aravind Reddy, Liren Shan

In this paper, we study k-means++ and k-means++ parallel, the two most popular algorithms for the classic k-means clustering problem.

Clustering

Correlation clustering with local objectives

no code implementations NeurIPS 2019 Sanchit Kalhan, Konstantin Makarychev, Timothy Zhou

Classically, we are tasked with producing a clustering that minimizes the number of disagreements: an edge is in disagreement if it is a similar edge and is present across clusters or if it is a dissimilar edge and is present within a cluster.

Clustering graph partitioning

Learning Communities in the Presence of Errors

no code implementations10 Nov 2015 Konstantin Makarychev, Yury Makarychev, Aravindan Vijayaraghavan

Many algorithms exist for learning communities in the Stochastic Block Model, but they do not work well in the presence of errors.

Community Detection graph partitioning +2

Correlation Clustering with Noisy Partial Information

no code implementations22 Jun 2014 Konstantin Makarychev, Yury Makarychev, Aravindan Vijayaraghavan

In this paper, we propose and study a semi-random model for the Correlation Clustering problem on arbitrary graphs G. We give two approximation algorithms for Correlation Clustering instances from this model.

Clustering General Classification

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