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There has been a considerable interest in constrained training of deep neural networks (DNNs) recently for applications such as fairness and safety. Several toolkits have been proposed for this task, yet there is still no industry standard.…

Machine Learning · Computer Science 2025-09-26 Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček

We introduce a generalization of the well known graph (vertex) coloring problem, which we call the problem of \emph{component coloring of graphs}. Given a graph, the problem is to color the vertices using minimum number of colors so that…

Discrete Mathematics · Computer Science 2012-11-06 Ajit Diwan , Soumitra Pal , Abhiram Ranade

In the Exact Matching problem, we are given a graph whose edges are colored red or blue and the task is to decide for a given integer k, if there is a perfect matching with exactly k red edges. Since 1987 it is known that the Exact Matching…

Computational Complexity · Computer Science 2024-01-09 Nicolas El Maalouly , Sebastian Haslebacher , Lasse Wulf

The ability to train Deep Neural Networks (DNNs) with constraints is instrumental in improving the fairness of modern machine-learning models. Many algorithms have been analysed in recent years, and yet there is no standard, widely accepted…

Machine Learning · Computer Science 2026-02-19 Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček

In this paper, we propose a novel layer-adaptive weight-pruning approach for Deep Neural Networks (DNNs) that addresses the challenge of optimizing the output distortion minimization while adhering to a target pruning ratio constraint. Our…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Kaixin Xu , Zhe Wang , Xue Geng , Jie Lin , Min Wu , Xiaoli Li , Weisi Lin

An equitable tree-$k$-coloring of a graph is a vertex $k$-coloring such that each color class induces a forest and the size of any two color classes differ by at most one. In this work, we show that every interval graph $G$ has an equitable…

Combinatorics · Mathematics 2020-03-10 Bei Niu , Bi Li , Xin Zhang

This paper explains genetic algorithm for novice in this field. Basic philosophy of genetic algorithm and its flowchart are described. Step by step numerical computation of genetic algorithm for solving simple mathematical equality problem…

Neural and Evolutionary Computing · Computer Science 2017-07-03 Denny Hermawanto

Deep neural networks have achieved exceptional results across a range of applications. As the demand for efficient and sparse deep learning models escalates, the significance of model compression, particularly pruning, is increasingly…

Machine Learning · Computer Science 2025-04-01 Yucong Dai , Gen Li , Feng Luo , Xiaolong Ma , Yongkai Wu

In this paper, we investigate a new extragradient algorithm for solving pseudomonotone equilibrium problems on Hadamard manifolds. The algorithm uses a variable stepsize which is updated at each iteration and based on some previous…

Optimization and Control · Mathematics 2021-07-27 Jingjing Fan , Bing Tan , Songxiao Li

In this paper we present TSSort, a probabilistic, noise resistant, quickly converging comparison sort algorithm based on Microsoft TrueSkill. The algorithm combines TrueSkill's updating rules with a newly developed next item pair selection…

Data Structures and Algorithms · Computer Science 2016-06-17 Jörn Hees , Benjamin Adrian , Ralf Biedert , Thomas Roth-Berghofer , Andreas Dengel

We study colored coverage and clustering problems. Here, we are given a colored point set where the points are covered by (unknown) $k$ clusters, which are monochromatic (i.e., all the points covered by the same cluster, have the same…

Computational Geometry · Computer Science 2021-05-17 Stav Ashur , Sariel Har-Peled

Declarative spatial reasoning denotes the ability to (declaratively) specify and solve real-world problems related to geometric and qualitative spatial representation and reasoning within standard knowledge representation and reasoning (KR)…

Artificial Intelligence · Computer Science 2015-06-17 Carl Schultz , Mehul Bhatt

The graph coloring problem is a classical combinatorial optimization problem with important applications such as register allocation and task scheduling, and it has been extensively studied for decades. However, near-real-time algorithms…

Data Structures and Algorithms · Computer Science 2025-09-30 Chenghao Zhu , Yi Zhou

Sorting is one of the most used and well investigated algorithmic problem [1]. Traditional postulation supposes the sorting data archived, and the elementary operation as comparisons of two numbers. In a view of appearance of new processors…

Data Structures and Algorithms · Computer Science 2011-07-22 Hakob Aslanyan

In this paper we study the problem of correlation clustering under fairness constraints. In the classic correlation clustering problem, we are given a complete graph where each edge is labeled positive or negative. The goal is to obtain a…

Data Structures and Algorithms · Computer Science 2020-02-11 Saba Ahmadi , Sainyam Galhotra , Barna Saha , Roy Schwartz

We study the weighted generalization of the edge coloring problem where the weight of each color class (matching) equals to the weight of its heaviest edge and the goal is to minimize the sum of the colors' weights. We present a…

Data Structures and Algorithms · Computer Science 2009-01-27 Giorgio Lucarelli , Ioannis Milis , Vangelis Th. Paschos

Many works have shown that deep learning-based medical image classification models can exhibit bias toward certain demographic attributes like race, gender, and age. Existing bias mitigation methods primarily focus on learning debiased…

Image and Video Processing · Electrical Eng. & Systems 2022-03-07 Yawen Wu , Dewen Zeng , Xiaowei Xu , Yiyu Shi , Jingtong Hu

This paper explores an idealized dynamic population sizing strategy for solving additive decomposable problems of uniform scale. The method is designed on top of the foundations of existing population sizing theory for this class of…

Neural and Evolutionary Computing · Computer Science 2011-04-15 Fernando G. Lobo

We propose an algorithm for solving of the graph isomorphism problem. Also, we introduce the new class of graphs for which the graph isomorphism problem can be solved polynomially using the algorithm.

Combinatorics · Mathematics 2007-05-23 Rashit T. Faizullin , Alexander V. Prolubnikov

Differential evolution was developed for reliable and versatile function optimization. It has also become interesting for other domains because of its ease to use. In this paper, we posed the question of whether differential evolution can…

Combinatorics · Mathematics 2016-11-17 Iztok Fister , Janez Brest