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An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

We propose an algorithm for a family of optimization problems where the objective can be decomposed as a sum of functions with monotonicity properties. The motivating problem is optimization of hyperparameters of machine learning…

Machine Learning · Computer Science 2018-02-20 Wenyi Wang , William J. Welch

Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a…

Artificial Intelligence · Computer Science 2012-06-18 Yan Radovilsky , Solomon Eyal Shimony

The task of RNA design given a target structure aims to find a sequence that can fold into that structure. It is a computationally hard problem where some version(s) have been proven to be NP-hard. As a result, heuristic methods such as…

Biomolecules · Quantitative Biology 2024-12-13 Wei Yu Tang , Ning Dai , Tianshuo Zhou , David H. Mathews , Liang Huang

The assembly index of assembly theory quantifies the minimal number of composition steps required to construct an object from elementary components. The study proves that the decision version of the assembly index problem is NP-complete,…

Computational Complexity · Computer Science 2026-04-21 Piotr Masierak

High read depth can be used to assemble short sequence repeats. The existing genome assemblers fail in repetitive regions of longer than average read. I propose a new algorithm for a DNA assembly which uses the relative frequency of reads…

Genomics · Quantitative Biology 2015-01-08 Robert M. Nowak

The problem of automatic software generation is known as Machine Programming. In this work, we propose a framework based on genetic algorithms to solve this problem. Although genetic algorithms have been used successfully for many problems,…

Neural and Evolutionary Computing · Computer Science 2023-04-04 Shantanu Mandal , Todd A. Anderson , Javier S. Turek , Justin Gottschlich , Shengtian Zhou , Abdullah Muzahid

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

Logic in Computer Science · Computer Science 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

Testing provides means pertaining to assuring software performance. The total aim of software industry is actually to make a certain start associated with high quality software for the end user. However, associated with software testing has…

Software Engineering · Computer Science 2016-12-30 Ahmed Mateen , Marriam Nazir , Salman Afsar Awan

The research community continues to seek increasingly more advanced synthetic data generators to reliably evaluate the strengths and limitations of machine learning methods. This work aims to increase the availability of datasets…

Machine Learning · Computer Science 2026-01-30 Joanna Komorniczak

We present a global optimization algorithm for clustering data given the ratio of likelihoods that each pair of data points is in the same cluster or in different clusters. To define a clustering solution in terms of pairwise relationships,…

Machine Learning · Computer Science 2015-06-11 Vijay Kumar , Dan Levy

In this paper we study random optimization problems where random functions are investigated in sample paths. Some sufficient conditions ensuring the existence of random solutions to random optimization problems are proposed.

Probability · Mathematics 2020-05-14 Ta Ngoc Anh

In Computer Vision, problem of identifying or classifying the objects present in an image is called Object Categorization. It is a challenging problem, especially when the images have clutter background, occlusions or different lighting…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jyothi Korra

The human immune system depends on a highly diverse collection of antibody-making B cells. B cell receptor sequence diversity is generated by a random recombination process called "rearrangement" forming progenitor B cells, then a Darwinian…

Populations and Evolution · Quantitative Biology 2017-02-08 Duncan K. Ralph , Frederick A. Matsen

Because genomes are products of natural processes rather than intelligent design, all genomes contain functional and nonfunctional parts. The fraction of the genome that has no biological function is called rubbish DNA. Rubbish DNA consists…

Genomics · Quantitative Biology 2016-01-25 Dan Graur

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

Combinatorial evolution - the creation of new things through the combination of existing things - can be a powerful way to evolve rather than design technical objects such as electronic circuits. Intriguingly, this seems to be an ongoing…

Software Engineering · Computer Science 2021-11-23 Sebastian Fix , Thomas Probst , Oliver Ruggli , Thomas Hanne , Patrik Christen

Particle swarm optimization is a popular method for solving difficult optimization problems. There have been attempts to formulate the method in formal probabilistic or stochastic terms (e.g. bare bones particle swarm) with the aim to…

Neural and Evolutionary Computing · Computer Science 2012-11-19 Peter Andras

It is shown that optimal network plans can be obtained, naturally, as a limit of easier problems of point allocations. These problems are obtained by minimizing the mass transportation on the set of atomic measures of prescribed number of…

Optimization and Control · Mathematics 2009-10-15 Gershon Wolansky

We study a family of problems, called \prob{Maximum Solution}, where the objective is to maximise a linear goal function over the feasible integer assignments to a set of variables subject to a set of constraints. When the domain is Boolean…

Computational Complexity · Computer Science 2011-11-10 Peter Jonsson , Fredrik Kuivinen , Gustav Nordh
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