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The simple greedy algorithm to find a maximal independent set of a graph can be viewed as a sequential update of a Boolean network, where the update function at each vertex is the conjunction of all the negated variables in its…

Discrete Mathematics · Computer Science 2023-07-12 Maximilien Gadouleau , David C. Kutner

This work proposes a novel framework based on nested evolving set processes to accelerate Personalized PageRank (PPR) computation. At each stage of the process, we employ a localized inexact proximal point iteration to solve a simplified…

Machine Learning · Computer Science 2025-10-28 Binbin Huang , Luo Luo , Yanghua Xiao , Deqing Yang , Baojian Zhou

The maximum clique (MC) problem is a challenging graph mining problem which, due to its NP-hard nature, can take a substantial amount of execution time. The MC problem is dominated by set intersection operations similar to Maximal Clique…

Data Structures and Algorithms · Computer Science 2025-09-29 Hans Vandierendonck

In the classical online model, the maximum independent set problem admits an $\Omega(n)$ lower bound on the competitive ratio even for interval graphs, motivating the study of the problem under additional assumptions. We first study the…

Computational Geometry · Computer Science 2026-04-17 Minati De , Satyam Singh

Mixed-precision quantization, where a deep neural network's layers are quantized to different precisions, offers the opportunity to optimize the trade-offs between model size, latency, and statistical accuracy beyond what can be achieved…

Machine Learning · Computer Science 2023-07-07 Georg Rutishauser , Francesco Conti , Luca Benini

Finding optimal parameter configurations for tunable GPU kernels is a non-trivial exercise for large search spaces, even when automated. This poses an optimization task on a non-convex search space, using an expensive to evaluate function…

Machine Learning · Computer Science 2021-12-01 Floris-Jan Willemsen , Rob van Nieuwpoort , Ben van Werkhoven

Large scale-free graphs are famously difficult to process efficiently: the skewed vertex degree distribution makes it difficult to obtain balanced partitioning. Our research instead aims to turn this into an advantage by partitioning the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Scott Sallinen , Abdullah Gharaibeh , Matei Ripeanu

Integer Linear Programs (ILPs) are powerful tools for modeling and solving a large number of combinatorial optimization problems. Recently, it has been shown that Large Neighborhood Search (LNS), as a heuristic algorithm, can find high…

Artificial Intelligence · Computer Science 2024-01-17 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

The maximum independent set problem is a classical NP-hard problem in theoretical computer science. In this work, we study a special case where the family of graphs considered is restricted to intersection graphs of sets of axis-aligned…

Data Structures and Algorithms · Computer Science 2024-10-10 Rishi Advani , Abolfazl Asudeh

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

Several algorithmic meta-theorems on kernelization have appeared in the last years, starting with the result of Bodlaender et al. [FOCS 2009] on graphs of bounded genus, then generalized by Fomin et al. [SODA 2010] to graphs excluding a…

Data Structures and Algorithms · Computer Science 2014-11-21 Valentin Garnero , Christophe Paul , Ignasi Sau , Dimitrios M. Thilikos

Deep Neural Networks (DNNs) have revolutionized various fields, but their deployment on GPUs often leads to significant energy consumption. Unlike existing methods for reducing GPU energy consumption, which are either hardware-inflexible or…

Performance · Computer Science 2024-12-02 Yijia Zhang , Zhihong Gou , Shijie Cao , Weigang Feng , Sicheng Zhang , Guohao Dai , Ningyi Xu

The random greedy algorithm for finding a maximal independent set in a graph constructs a maximal independent set by inspecting the graph's vertices in a random order, adding the current vertex to the independent set if it is not adjacent…

Combinatorics · Mathematics 2023-09-28 Michael Krivelevich , Tamás Mészáros , Peleg Michaeli , Clara Shikhelman

The maximization for the independence systems defined on graphs is a generalization of combinatorial optimization problems such as the maximum $b$-matching, the unweighted MAX-SAT, the matchoid, and the maximum timed matching problems. In…

Data Structures and Algorithms · Computer Science 2022-08-23 Yuki Amano

Kernel methods are learning algorithms that enjoy solid theoretical foundations while suffering from important computational limitations. Sketching, which consists in looking for solutions among a subspace of reduced dimension, is a well…

Machine Learning · Statistics 2023-11-07 Tamim El Ahmad , Pierre Laforgue , Florence d'Alché-Buc

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

The Minimum Vertex Cover (MinVC) problem is a well-known NP-hard problem. Recently there has been great interest in solving this problem on real-world massive graphs. For such graphs, local search is a promising approach to finding optimal…

Data Structures and Algorithms · Computer Science 2015-09-22 Yi Fan , Chengqian Li , Zongjie Ma , LjiLjana Brankovic , Vladimir Estivill-Castro , Abdul Sattar

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

Data Structures and Algorithms · Computer Science 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

Data Structures and Algorithms · Computer Science 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis