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This paper presents a multilevel tensor compression algorithm called tensor butterfly algorithm for efficiently representing large-scale and high-dimensional oscillatory integral operators, including Green's functions for wave equations and…

Numerical Analysis · Mathematics 2025-03-27 P. Michael Kielstra , Tianyi Shi , Hengrui Luo , Jianliang Qian , Yang Liu

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

Machine Learning · Statistics 2023-05-11 Prabhu Babu , Petre Stoica

Energy efficiency and reliability have long been crucial factors for ensuring cost-effective and safe missions in autonomous systems computers. With the rapid evolution of industries such as space robotics and advanced air mobility, the…

Machine Learning · Computer Science 2023-07-18 Reza Ahmadvand , Sarah Safura Sharif , Yaser Mike Banad

In this work, we propose a continuous-time distributed optimization algorithm with guaranteed zero coupling constraint violation and apply it to safe distributed control in the presence of multiple control barrier functions (CBF). The…

Optimization and Control · Mathematics 2025-02-05 Xiao Tan , Changxin Liu , Karl H. Johansson , Dimos V. Dimarogonas

The logic-constrained shortest path problem (LCSPP) combines a one-to-one shortest path problem with satisfiability constraints imposed on the routing graph. This setting arises in flight planning, where air traffic control (ATC)…

Artificial Intelligence · Computer Science 2026-05-05 Ricardo Euler , Pedro Maristany de las Casas , Ralf Borndörfer

Natural systems often exhibit chaotic behavior in their space-time evolution. Systems transiting between chaos and order manifest a potential to compute, as shown with cellular automata and artificial neural networks. We demonstrate that…

Computational Physics · Physics 2025-04-04 Tomáš Vantuch , Ivan Zelinka , Andrew Adamatzky , Norbert Marwan

A new self-synchronizing stream cipher (SSSC) is proposed based on one-way and nearest neighbor coupled integer maps. Some ideas of spatiotemporal chaos synchronization and chaotic cryptography are applied in this new SSSC system. Several…

Chaotic Dynamics · Physics 2007-05-23 Shihong Wang , Huaping Lv , Gang Hu

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

We consider maximization of stochastic monotone continuous submodular functions (CSF) with a diminishing return property. Existing algorithms only guarantee the performance \textit{in expectation}, and do not bound the probability of…

Data Structures and Algorithms · Computer Science 2023-03-22 Evan Becker , Jingdong Gao , Ted Zadouri , Baharan Mirzasoleiman

The Cuckoo Search Algorithm (CSA), while effective in solving complex optimization problems, faces limitations in random population initialization and reliance on fixed parameters. Random initialization of the population often results in…

Neural and Evolutionary Computing · Computer Science 2025-02-20 Marcus Andre Villanueva , Charles Matthew Ching , Khatalyn Mata

This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming. We first present an SCP algorithm for solving nonlinear optimization…

Optimization and Control · Mathematics 2011-08-01 Tran Dinh Quoc , Moritz Diehl

The optimal operation of electrical energy systems by solving a security constrained optimal power flow (SCOPF) problem is still a challenging research aspect. Especially, for conventional optimization methods like sequential quadratic…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Marcel Sarstedt , Thomas Leveringhaus , Leonard Kluß , Lutz Hofmann

Decentralized optimization algorithms have attracted intensive interests recently, as it has a balanced communication pattern, especially when solving large-scale machine learning problems. Stochastic Path Integrated Differential Estimator…

Machine Learning · Computer Science 2019-12-02 Taoxing Pan , Jun Liu , Jie Wang

Combinatorial interaction testing has been addressed as an effective software testing technique recently. It shows its ability to reduce the number of test cases that have to be considered for software-under-test by taking the combinations…

Software Engineering · Computer Science 2019-05-17 Bestoun S. Ahmed

As distributed optimization scales to meet the demands of Large Language Model (LLM) training, hardware failures become increasingly non-negligible. Existing fault-tolerant training methods often introduce significant computational or…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-21 Rizhen Hu , Yutong He , Ran Yan , Mou Sun , Binghang Yuan , Kun Yuan

In quantum chemistry, self-consistent field (SCF) algorithms define a nonlinear optimization problem, with both continuous and discrete components. In this work, we derive Hartree-Fock-inspired SCF algorithms that can be exactly written as…

Quantum Physics · Physics 2025-06-05 Alexis Ralli , Tim Weaving , Peter V. Coveney , Peter J. Love

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

Spiking Neural Networks (SNNs), with brain-inspired structure using discrete spikes instead of continuous activations, are gaining attention for their efficient processing on neuromorphic chips. While current SNN hardware accelerators often…

Hardware Architecture · Computer Science 2026-01-30 Tenglong Li , Jindong Li , Guobin Shen , Dongcheng Zhao , Qian Zhang , Yi Zeng

We study the {\sc Uniform Circle Formation} ({\sc UCF}) problem for a swarm of $n$ autonomous mobile robots operating in \emph{Look-Compute-Move} (LCM) cycles on the Euclidean plane. We assume our robots are \emph{luminous}, i.e. embedded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-13 Caterina Feletti , Debasish Pattanayak , Gokarna Sharma

We present a hybrid algorithm for optimizing a convex, smooth function over the cone of positive semidefinite matrices. Our algorithm converges to the global optimal solution and can be used to solve general large-scale semidefinite…

Machine Learning · Computer Science 2012-06-22 Soeren Laue
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