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The state transition algorithm (STA), as an intelligent optimization method grounded in constructivist learning, has been demonstrated to be highly effective in solving complex optimization problems. However, the standard STA suffers from…

Optimization and Control · Mathematics 2026-04-30 Xiaojun Zhou , Chunhua Yang , Weihua Gui , Tingwen Huang

One major problem in black-box adversarial attacks is the high query complexity in the hard-label attack setting, where only the top-1 predicted label is available. In this paper, we propose a novel geometric-based approach called Tangent…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Chen Ma , Xiangyu Guo , Li Chen , Jun-Hai Yong , Yisen Wang

A very simple first-order algorithm is proposed for solving nonlinear optimization problems with deterministic nonlinear equality constraints. This algorithm adaptively selects steps in the plane tangent to the constraints or steps that…

Optimization and Control · Mathematics 2026-03-11 Serge Gratton , Philippe L. Toint

We consider the thresholding bandit problem, whose goal is to find arms of mean rewards above a given threshold $\theta$, with a fixed budget of $T$ trials. We introduce LSA, a new, simple and anytime algorithm that aims to minimize the…

Machine Learning · Computer Science 2019-05-28 Chao Tao , Saùl Blanco , Jian Peng , Yuan Zhou

State transition algorithm has been emerging as a new intelligent global optimization method in recent few years. The standard continuous STA has demonstrated powerful global search ability for global optimization problems whose dimension…

Optimization and Control · Mathematics 2016-10-20 Xiaojun Zhou

Sample average approximation (SAA) is a tractable approach for dealing with chance constrained programming, a challenging stochastic optimization problem. The constraint of SAA is characterized by the $0/1$ loss function which results in…

Optimization and Control · Mathematics 2026-04-17 Shenglong Zhou , Lili Pan , Naihua Xiu , Geoffrey Ye Li

Simulated annealing (SA) attracts more attention among classical heuristic algorithms because the solution of the combinatorial optimization problem can be naturally mapped to the ground state of the Ising Hamiltonian. However, in practical…

Artificial Intelligence · Computer Science 2022-03-28 Yunuo Cen , Debasis Das , Xuanyao Fong

We consider function optimization as a sequential decision making problem under budget constraint. This constraint limits the number of objective function evaluations allowed during the optimization. We consider an algorithm inspired by a…

Machine Learning · Computer Science 2026-05-06 Philippe Preux , Rémi Munos , Michal Valko

Stochastic approximation (SA) is a powerful class of iterative algorithms for nonlinear root-finding that can be used for minimizing a loss function, $L(\boldsymbol{\theta})$, with respect to a parameter vector $\boldsymbol{\theta}$, when…

Optimization and Control · Mathematics 2017-07-24 Karla Hernández Cuevas

We present a comprehensive computational study of a class of linear system solvers, called {\it Triangle Algorithm} (TA) and {\it Centering Triangle Algorithm} (CTA), developed by Kalantari \cite{kalantari23}. The algorithms compute an…

Numerical Analysis · Mathematics 2023-04-25 Chun Lau , Bahman Kalantari

In terms of the concepts of state and state transition, a new algorithm-State Transition Algorithm (STA) is proposed in order to probe into classical and intelligent optimization algorithms. On the basis of state and state transition, it…

Optimization and Control · Mathematics 2012-10-15 Xiaojun Zhou , Chunhua Yang , Weihua Gui

Optimization problems such as the NP-complete 3-SAT provide an important benchmark for the difficult task of finding ground-states in strongly correlated many-body systems with rugged energy landscapes. The study of random 3-SAT problems as…

Statistical Mechanics · Physics 2026-05-21 J. Schwardt , J. C. Budich

Stochastic optimization naturally appear in many application areas, including machine learning. Our goal is to go further in the analysis of the Stochastic Average Gradient Accelerated (SAGA) algorithm. To achieve this, we introduce a new…

Optimization and Control · Mathematics 2024-10-08 Luis Fredes , Bernard Bercu , Eméric Gbaguidi

Target tracking problem has many practical applications in real life. In submarines, target tracking is done using, preferably, passive sensors. These sensors measure only the bearing angles between the observed target and the ownship.…

Signal Processing · Electrical Eng. & Systems 2020-02-24 Hasan Hüseyin Sönmez , Köksal Hocaoğlu

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

For almost two decades the question of whether tabu search (TS) or simulated annealing (SA) performs better for the quadratic assignment problem has been unresolved. To answer this question satisfactorily, we compare performance at various…

Data Structures and Algorithms · Computer Science 2010-10-04 Gerald Paul

A runtime assurance system (RTA) for a given plant enables the exercise of an untrusted or experimental controller while assuring safety with a backup (or safety) controller. The relevant computational design problem is to create a logic…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kristina Miller , Christopher K. Zeitler , William Shen , Kerianne Hobbs , Sayan Mitra , John Schierman , Mahesh Viswanathan

Meta-heuristic algorithms have become very popular because of powerful performance on the optimization problem. A new algorithm called beetle antennae search algorithm (BAS) is proposed in the paper inspired by the searching behavior of…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Xiangyuan Jiang , Shuai Li

In terms of the concepts of state and state transition, a new heuristic random search algorithm named state transition algorithm is proposed. For continuous function optimization problems, four special transformation operators called…

Optimization and Control · Mathematics 2013-12-10 Xiaojun Zhou , Chunhua Yang , Weihua Gui

3-SAT problem is of great importance to many technical and scientific applications. This paper presents a new hybrid evolutionary algorithm for solving this satisfiability problem. 3-SAT problem has the huge search space and hence it is…

Artificial Intelligence · Computer Science 2013-06-24 Nasser Lotfi , Jamshid Tamouk , Mina Farmanbar