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Simulated Annealing (SA) is a widely used stochastic optimization algorithm, yet much of its theoretical understanding is limited to asymptotic convergence guarantees or general spectral bounds. In this paper, we develop a finite-time…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Hansini Ramachandran , Bhaskar Krishnamachari

Quantum-classical hybrid algorithms offer a promising strategy for tackling computationally challenging problems, such as the maximum independent set (MIS) problem that plays a crucial role in areas like network design and data analysis.…

Quantum Physics · Physics 2025-06-17 Seokho Jeong , Juyoung Park , Jaewook Ahn

The quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems. One of the most powerful and commonly used heuristics to obtain approximations to the optimal solution of the QAP is simulated…

Neural and Evolutionary Computing · Computer Science 2011-11-08 Gerald Paul

Simulated annealing is an effective and general means of optimization. It is in fact inspired by metallurgy, where the temperature of a material determines its behavior in thermodynamics. Likewise, in simulated annealing, the actions that…

Machine Learning · Computer Science 2020-07-01 Avrim Blum , Chen Dan , Saeed Seddighin

We propose PESA, a novel approach combining Particle Swarm Optimisation (PSO), Evolution Strategy (ES), and Simulated Annealing (SA) in a hybrid Algorithm, inspired from reinforcement learning. PESA hybridizes the three algorithms by…

Neural and Evolutionary Computing · Computer Science 2020-09-21 Majdi I. Radaideh , Koroush Shirvan

We proposed a probabilistic algorithm to solve the Multiple Sequence Alignment problem. The algorithm is a Simulated Annealing (SA) that exploits the representation of the Multiple Alignment between $D$ sequences as a directed polymer in…

Genomics · Quantitative Biology 2016-08-16 M. Hernández-Guía , R. Mulet , S. Rodríguez-Pérez

Sample average approximation (SAA), a popular method for tractably solving stochastic optimization problems, enjoys strong asymptotic performance guarantees in settings with independent training samples. However, these guarantees are not…

Optimization and Control · Mathematics 2021-12-13 Yafei Wang , Bo Pan , Wei Tu , Peng Liu , Bei Jiang , Chao Gao , Wei Lu , Shangling Jui , Linglong Kong

We introduce a novel method for non-convex optimization, called Swarm-based Simulated Annealing (SSA), which is at the interface between the swarm-based gradient-descent (SBGD) [J. Lu et. al., ArXiv:2211.17157; E.Tadmor and A. Zenginoglu,…

Optimization and Control · Mathematics 2024-09-04 Zhiyan Ding , Martin Guerra , Qin Li , Eitan Tadmor

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Discrete choice experiments (DCEs) investigate the attributes that influence individuals' choices when selecting among various options. To enhance the quality of the estimated choice models, researchers opt for Bayesian optimal designs that…

Methodology · Statistics 2025-04-01 Yicheng Mao , Roselinde Kessels , Tom van der Zanden

Any optimization algorithm programming interface can be seen as a black-box function with additional free parameters. In this spirit, simulated annealing (SA) can be implemented in pseudo-code within the dimensions of a single slide with…

Software Engineering · Computer Science 2023-02-27 Rohit Goswami , Ruhila S. , Amrita Goswami , Sonaly Goswami , Debabrata Goswami

This work proposes an adaptive sequential Monte Carlo sampling algorithm to solve Bayesian inverse problems in scenarios where likelihood evaluations are costly but can be approximated using a surrogate model built from previous evaluations…

Computation · Statistics 2025-08-26 Frederic Cerou , Patrick Heas , Mathias Rousset

This paper presents comparison of several stochastic optimization algorithms developed by authors in their previous works for the solution of some problems arising in Civil Engineering. The introduced optimization methods are: the integer…

Neural and Evolutionary Computing · Computer Science 2009-02-11 O. Hrstka , A. Kucerova , M. Leps , J. Zeman

We give a rigorous complexity analysis of the simulated annealing algorithm by Kalai and Vempala [Math of OR 31.2 (2006): 253-266] using the type of temperature update suggested by Abernethy and Hazan [arXiv 1507.02528v2, 2015]. The…

Optimization and Control · Mathematics 2019-07-05 Riley Badenbroek , Etienne de Klerk

In this paper, we evaluate stochastic-computing simulated annealing (SC-SA) for solving large-scale combinatorial optimization problems. SC-SA is designed using stochastic computing, where the computatoin is reazlied using random bitstream,…

Optimization and Control · Mathematics 2026-03-24 Kota Katsuki , Duckgyu Shin , Naoya Onizawa , Takahiro Hanyu

In the machine learning and optimization community, there are two main approaches for the convex risk minimization problem, namely, the Stochastic Approximation (SA) and the Sample Average Approximation (SAA). In terms of oracle complexity…

Optimization and Control · Mathematics 2021-10-26 Darina Dvinskikh

Population Monte Carlo simulations in the form commonly referred to as population annealing can serve as a useful meta-algorithm for simulating systems with complex free-energy landscapes. In the present paper we provide an easily…

Statistical Mechanics · Physics 2024-01-17 P. L. Ebert , D. Gessert , W. Janke , M. Weigel

The topic we address in this paper concerns the minimization of a Hamiltonian function for an Ising model through the application of simulated annealing algorithms based on (single-site) Glauber dynamics and stochastic cellular automata…

Optimization and Control · Mathematics 2022-11-15 Bruno Hideki Fukushima-Kimura , Yoshinori Kamijima , Kazushi Kawamura , Akira Sakai

We present adaptive sequential SAA (sample average approximation) algorithms to solve large-scale two-stage stochastic linear programs. The iterative algorithm framework we propose is organized into \emph{outer} and \emph{inner} iterations…

Optimization and Control · Mathematics 2020-12-08 Raghu Pasupathy , Yongjia Song

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