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We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

Data Structures and Algorithms · Computer Science 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae

Inference networks of traditional Variational Autoencoders (VAEs) are typically amortized, resulting in relatively inaccurate posterior approximation compared to instance-wise variational optimization. Recent semi-amortized approaches were…

Machine Learning · Computer Science 2020-11-18 Minyoung Kim , Vladimir Pavlovic

This note describes an algorithm for enumerating all the elements in a finite set based on uniformly random sampling from the set. This algorithm can be used for enumeration by fair sampling with quantum annealing. Our algorithm is based on…

Quantum Physics · Physics 2021-04-06 Yuta Mizuno , Tamiki Komatsuzaki

Trees are useful entities allowing to model data structures and hierarchical relationships in networked decision systems ubiquitously. An ordered tree is a rooted tree where the order of the subtrees (children) of a node is significant. In…

Data Structures and Algorithms · Computer Science 2020-11-10 Victor Parque , Tomoyuki Miyashita

Throughout this article we develop and change the definitions and the ideas in "arXiv:1006.4939", in order to consider the efficiency of functions and complexity time problems. The central idea here is effective enumeration and listing, and…

Computational Complexity · Computer Science 2010-11-30 Saeed Asaeedi , Farzad Didehvar

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

Machine Learning · Computer Science 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

In this work, we study online graph problems with monotone-sum objectives. We propose a general two-fold greedy algorithm that references yardstick algorithms to achieve $t$-competitiveness while incurring at most…

Data Structures and Algorithms · Computer Science 2022-07-28 Hsiang-Hsuan Liu , Jonathan Toole-Charignon

In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

Numerical Analysis · Computer Science 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

We present a comprehensive classical and parameterized complexity analysis of decision tree pruning operations, extending recent research on the complexity of learning small decision trees. Thereby, we offer new insights into the…

Machine Learning · Computer Science 2025-03-06 Juha Harviainen , Frank Sommer , Manuel Sorge , Stefan Szeider

In the field of algorithmic analysis, one of the more well-known exercises is the subset sum problem. That is, given a set of integers, determine whether one or more integers in the set can sum to a target value. Aside from the brute-force…

Data Structures and Algorithms · Computer Science 2016-05-09 Daniel Shea

Priority queues are fundamental abstract data structures, often used to manage limited resources in parallel programming. Several proposed parallel priority queue implementations are based on skiplists, harnessing the potential for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-06 Irina Calciu , Hammurabi Mendes , Maurice Herlihy

We propose a relax-and-round approach combined with a greedy search strategy for performing complex lattice basis reduction. Taking an optimization perspective, we introduce a relaxed version of the problem that, while still nonconvex, has…

Signal Processing · Electrical Eng. & Systems 2018-08-16 Marius Arvinte , Ahmed H. Tewfik

Iterative minimization algorithms appear in various areas including machine learning, neural networks, and information theory.The em algorithm is one of the famous iterative minimization algorithms in the area of machine learning, and the…

Information Theory · Computer Science 2024-09-10 Masahito Hayashi

Methods for the reduction of the complexity of computational problems are presented, as well as their connections to renormalization, scaling, and irreversible statistical mechanics. Several statistically stationary cases are analyzed; for…

Numerical Analysis · Mathematics 2007-05-23 Alexandre J. Chorin , Panagiotis Stinis

In many applications of evolutionary algorithms the computational cost of applying operators and storing populations is comparable to the cost of fitness evaluation. Furthermore, by knowing what exactly has changed in an individual by an…

Neural and Evolutionary Computing · Computer Science 2023-06-30 Maxim Buzdalov

Packing optimization is a prevalent problem that necessitates robust and efficient algorithms that are also simple to implement. One group of approaches is the raster methods, which rely on approximating the objects with pixelated…

Computational Geometry · Computer Science 2020-12-10 Gokhan Serhat

Feature weighting algorithms try to solve a problem of great importance nowadays in machine learning: The search of a relevance measure for the features of a given domain. This relevance is primarily used for feature selection as feature…

Machine Learning · Computer Science 2015-09-17 Gabriel Prat Masramon , Lluís A. Belanche Muñoz

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

The problem to compute the vertices of a polytope given by affine inequalities is called vertex enumeration. The inverse problem, which is equivalent by polarity, is called the convex hull problem. We introduce `approximate vertex…

Optimization and Control · Mathematics 2024-01-26 Andreas Löhne

The goal of this paper is to present two algorithms for solving systems of inclusion problems, with all component of the systems being a sum of two maximal monotone operators. The algorithms are variants of the forward-backward splitting…

Optimization and Control · Mathematics 2018-05-28 R. Díaz Millán