Search Results for author: Fedor V. Fomin

Found 9 papers, 0 papers with code

Structural perspective on constraint-based learning of Markov networks

no code implementations13 Mar 2024 Tuukka Korhonen, Fedor V. Fomin, Pekka Parviainen

When it comes to the number of tests, our upper bound on the sizes of conditioning sets implies that every $n$-vertex graph can be learned by at most $n^{\kappa}$ tests with conditioning sets of sizes at most $\kappa$.

How to Find a Good Explanation for Clustering?

no code implementations13 Dec 2021 Sayan Bandyapadhyay, Fedor V. Fomin, Petr A. Golovach, William Lochet, Nidhi Purohit, Kirill Simonov

(2) For a given set of points, how to find a decision tree with $k$ leaves minimizing the $k$-means/median objective of the resulting explainable clustering?

Clustering

Can Romeo and Juliet Meet? Or Rendezvous Games with Adversaries on Graphs

no code implementations26 Feb 2021 Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thilikos

Facilitator wins if his agents meet in some vertex of the graph.

Discrete Mathematics Computational Complexity Data Structures and Algorithms 05C85 G.2.2

Diverse Collections in Matroids and Graphs

no code implementations12 Jan 2021 Fedor V. Fomin, Petr A. Golovach, Fahad Panolan, Geevarghese Philip, Saket Saurabh

The input to the Weighted Diverse Bases problem consists of a matroid $M$, a weight function $\omega:E(M)\to\mathbb{N}$, and integers $k\geq 1, d\geq 0$.

Data Structures and Algorithms

Present-Biased Optimization

no code implementations29 Dec 2020 Fedor V. Fomin, Pierre Fraigniaud, Petr A. Golovach

This paper explores the behavior of present-biased agents, that is, agents who erroneously anticipate the costs of future actions compared to their real costs.

EPTAS for $k$-means Clustering of Affine Subspaces

no code implementations19 Oct 2020 Eduard Eiben, Fedor V. Fomin, Petr A. Golovach, William Lochet, Fahad Panolan, Kirill Simonov

We consider a generalization of the fundamental $k$-means clustering for data with incomplete or corrupted entries.

Clustering

On Coresets for Fair Clustering in Metric and Euclidean Spaces and Their Applications

no code implementations20 Jul 2020 Sayan Bandyapadhyay, Fedor V. Fomin, Kirill Simonov

The new construction allows us to obtain the first coreset for fair clustering in general metric spaces.

Constrained Clustering

Refined Complexity of PCA with Outliers

no code implementations10 May 2019 Fedor V. Fomin, Petr A. Golovach, Fahad Panolan, Kirill Simonov

Principal component analysis (PCA) is one of the most fundamental procedures in exploratory data analysis and is the basic step in applications ranging from quantitative finance and bioinformatics to image analysis and neuroscience.

Approximation Schemes for Low-Rank Binary Matrix Approximation Problems

no code implementations18 Jul 2018 Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtanov, Fahad Panolan, Saket Saurabh

The new constrained clustering problem encompasses a number of problems and by solving it, we obtain the first linear time-approximation schemes for a number of well-studied fundamental problems concerning clustering of binary vectors and low-rank approximation of binary matrices.

Constrained Clustering LEMMA

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