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Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

Chemical kinetics mechanisms are essential for understanding, analyzing, and simulating complex combustion phenomena. In this study, a Neural Ordinary Differential Equation (Neural ODE) framework is employed to optimize kinetics parameters…

Chemical Physics · Physics 2022-09-07 Xingyu Su , Weiqi Ji , Jian An , Zhuyin Ren , Sili Deng , Chung K. Law

Adaptive optimization algorithms -- such as Adagrad, Adam, and their variants -- have found widespread use in machine learning, signal processing and many other settings. Several methods in this family are not rotationally equivariant,…

Machine Learning · Computer Science 2026-02-17 Adela DePavia , Jose Cruzado , Jiayou Liang , Vasileios Charisopoulos , Rebecca Willett

Differential Evolution (DE) is quite powerful for real parameter single objective optimization. However, the ability of extending or changing search area when falling into a local optimum is still required to be developed in DE for…

Artificial Intelligence · Computer Science 2020-03-03 Chengjun Li , Yang Li

This paper discusses the problem of adaptive estimation of a univariate object like the value of a regression function at a given point or a linear functional in a linear inverse problem. We consider an adaptive procedure originated from…

Statistics Theory · Mathematics 2009-08-26 Vladimir Spokoiny , Céline Vial

Given a finite family of functions, the goal of model selection aggregation is to construct a procedure that mimics the function from this family that is the closest to an unknown regression function. More precisely, we consider a general…

Statistics Theory · Mathematics 2012-12-13 Dong Dai , Philippe Rigollet , Tong Zhang

Online parameter controllers for evolutionary algorithms adjust values of parameters during the run of an evolutionary algorithm. Recently a new efficient parameter controller based on reinforcement learning was proposed by Karafotias et…

Neural and Evolutionary Computing · Computer Science 2016-03-23 Arkady Rost , Irina Petrova , Arina Buzdalova

This paper is about computationally tractable methods for power system parameter estimation and Optimal Experiment Design (OED). Here, the main motivation is that OED has the potential to significantly increase the accuracy of power system…

Systems and Control · Electrical Eng. & Systems 2022-09-19 Xu Du , Alexander Engelmann , Timm Faulwasser , Boris Houska

The performance of a Multiobjective Evolutionary Algorithm (MOEA) is crucially dependent on the parameter setting of the operators. The most desired control of such parameters presents the characteristic of adaptiveness, i.e., the capacity…

Neural and Evolutionary Computing · Computer Science 2013-05-23 Arthur Carvalho , Aluizio F. R. Araujo

Multi-pass streaming algorithm for Maximum Matching have been studied since more than 15 years and various algorithmic results are known today, including $2$-pass streaming algorithms that break the $1/2$-approximation barrier, and…

Data Structures and Algorithms · Computer Science 2020-10-02 Lidiya Khalidah binti Khalil , Christian Konrad

The Quantum approximate optimization algorithm (QAOA) is a quantum-classical hybrid algorithm aiming to produce approximate solutions for combinatorial optimization problems. In the QAOA, the quantum part prepares a quantum parameterized…

Quantum Physics · Physics 2024-04-23 Ningyi Xie , Xinwei Lee , Dongsheng Cai , Yoshiyuki Saito , Nobuyoshi Asai

We develop a framework for goal-oriented optimal design of experiments (GOODE) for large-scale Bayesian linear inverse problems governed by PDEs. This framework differs from classical Bayesian optimal design of experiments (ODE) in the…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Ahmed Attia , Alen Alexanderian , Arvind K. Saibaba

We study the error in approximating the minimum of a Brownian motion on the unit interval based on finitely many point evaluations. We construct an algorithm that adaptively chooses the points at which to evaluate the Brownian path. In…

Probability · Mathematics 2016-01-07 James M. Calvin , Mario Hefter , André Herzwurm

The major difficulty in Multi-objective Optimization Evolutionary Algorithms (MOEAs) is how to find an appropriate solution that is able to converge towards the true Pareto Front with high diversity. Most existing methodologies, which have…

Optimization and Control · Mathematics 2020-04-30 Jeisson Prieto , Jonatan Gomez

In recent decades, cold atom experiments have become increasingly complex. While computers control most parameters, optimization is mostly done manually. This is a time-consuming task for a high-dimensional parameter space with unknown…

Quantum Physics · Physics 2013-09-03 I. Geisel , K. Cordes , J. Mahnke , S. Jöllenbeck , J. Ostermann , J. Arlt , W. Ertmer , C. Klempt

Submodular maximization under matroid constraints is a fundamental problem in combinatorial optimization with applications in sensing, data summarization, active learning, and resource allocation. While the Sequential Greedy (SG) algorithm…

Machine Learning · Computer Science 2026-05-20 Mohammadreza Rostami , Solmaz S. Kia

New contributions in the field of iterative optimisation heuristics are often made in an iterative manner. Novel algorithmic ideas are not proposed in isolation, but usually as an extension of a preexisting algorithm. Although these…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Diederick Vermetten , Fabio Caraffini , Anna V. Kononova , Thomas Bäck

Gaussian process (GP) predictors are an important component of many Bayesian approaches to machine learning. However, even a straightforward implementation of Gaussian process regression (GPR) requires O(n^2) space and O(n^3) time for a…

Machine Learning · Statistics 2012-11-06 Krzysztof Chalupka , Christopher K. I. Williams , Iain Murray

The Quantum Approximate Optimization Algorithm (QAOA) is a hybrid quantum-classical algorithm that shows promise in efficiently solving the MaxCut problem, a representative example of combinatorial optimization. However, its effectiveness…

Quantum Physics · Physics 2025-01-22 Fanxu Meng , Xiangzhen Zhou , Pengcheng Zhu , Yu Luo

Real-world experiments involve batched & delayed feedback, non-stationarity, multiple objectives & constraints, and (often some) personalization. Tailoring adaptive methods to address these challenges on a per-problem basis is infeasible,…

Machine Learning · Computer Science 2024-11-11 Ethan Che , Daniel R. Jiang , Hongseok Namkoong , Jimmy Wang