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We present a quantum algorithm for finding the minimum of a function based on multistep quantum computation and apply it for optimization problems with continuous variables, in which the variables of the problem are discretized to form the…

Quantum Physics · Physics 2023-07-03 Hefeng Wang , Hua Xiang

Hyperparameter optimization (HPO) is an important step in machine learning (ML) model development, but common practices are archaic -- primarily relying on manual or grid searches. This is partly because adopting advanced HPO algorithms…

Machine Learning · Computer Science 2024-02-08 Sungduk Yu , Mike Pritchard , Po-Lun Ma , Balwinder Singh , Sam Silva

The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed

It has been well documented that the use of exponentially-averaged momentum (EM) in particle swarm optimization (PSO) is advantageous over the vanilla PSO algorithm. In the single-objective setting, it leads to faster convergence and…

Neural and Evolutionary Computing · Computer Science 2022-11-15 Anwesh Bhattacharya , Snehanshu Saha , Nithin Nagaraj

Support Vector Machine (SVM) is an efficient classification approach, which finds a hyperplane to separate data from different classes. This hyperplane is determined by support vectors. In existing SVM formulations, the objective function…

Machine Learning · Computer Science 2018-04-09 Shuai Zheng , Chris Ding

We apply the recently proposed superiorization methodology (SM) to the inverse planning problem in radiation therapy. The inverse planning problem is represented here as a constrained minimization problem of the total variation (TV) of the…

Optimization and Control · Mathematics 2014-02-07 R. Davidi , Y. Censor , R. W. Schulte , S. Geneser , L. Xing

There is much interest in using partially observable Markov decision processes (POMDPs) as a formal model for planning in stochastic domains. This paper is concerned with finding optimal policies for POMDPs. We propose several improvements…

Artificial Intelligence · Computer Science 2013-02-01 Nevin Lianwen Zhang , Stephen S. Lee

Stochastic variance reduced optimization methods are known to be globally convergent while they suffer from slow local convergence, especially when moderate or high accuracy is needed. To alleviate this problem, we propose an optimization…

Optimization and Control · Mathematics 2021-11-15 Hamed Sadeghi , Pontus Giselsson

Quantum algorithms can enhance machine learning in different aspects. Here, we study quantum-enhanced least-square support vector machine (LS-SVM). Firstly, a novel quantum algorithm that uses continuous variable to assist matrix inversion…

Quantum Physics · Physics 2020-07-15 Jie Lin , Dan-Bo Zhang , Shuo Zhang , Xiang Wang , Tan Li , Wan-su Bao

Support Vector Machines (SVMs) based on hinge loss have been extensively discussed and applied to various binary classification tasks. These SVMs achieve a balance between margin maximization and the minimization of slack due to outliers.…

Machine Learning · Computer Science 2024-08-21 Haoxiang Sun

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

Optimization and Control · Mathematics 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

Optimization and Control · Mathematics 2021-04-27 Shenglong Zhou

Real-world multiobjective optimization problems usually involve conflicting objectives that change over time, which requires the optimization algorithms to quickly track the Pareto optimal front (POF) when the environment changes. In recent…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Dejun Xu , Min Jiang , Weizhen Hu , Shaozi Li , Renhu Pan , Gary G. Yen

The performance of optimization algorithms relies crucially on their parameterizations. Finding good parameter settings is called algorithm tuning. The sequential parameter optimization (SPOT) package for R is a toolbox for tuning and…

Mathematical Software · Computer Science 2021-03-05 Thomas Bartz-Beielstein , Martin Zaefferer , Frederik Rehbach

Hyperparameter optimization (HPO) is generally treated as a bi-level optimization problem that involves fitting a (probabilistic) surrogate model to a set of observed hyperparameter responses, e.g. validation loss, and consequently…

Machine Learning · Computer Science 2021-10-18 Hadi S. Jomaa , Jonas Falkner , Lars Schmidt-Thieme

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

Optimization and Control · Mathematics 2023-03-29 Guanghui Lan , Alexander Shapiro

A body of recent work has focused on constructing a variational family of filtered distributions using Sequential Monte Carlo (SMC). Inspired by this work, we introduce Particle Smoothing Variational Objectives (SVO), a novel backward…

Machine Learning · Statistics 2019-09-24 Antonio Khalil Moretti , Zizhao Wang , Luhuan Wu , Iddo Drori , Itsik Pe'er

In this contribution, a novel spatio-temporal prediction algorithm for video coding is introduced. This algorithm exploits temporal as well as spatial redundancies for effectively predicting the signal to be encoded. To achieve this, the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Jürgen Seiler , André Kaup

An importance sampling and bagging approach to solving the support vector machine (SVM) problem in the context of large databases is presented and evaluated. Our algorithm builds on the nearest neighbors ideas presented in Camelo at al.…

Machine Learning · Statistics 2018-08-20 R. Bárcenas , M. D. Gónzalez--Lima , A. J. Quiroz
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