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The application of standard sufficient dimension reduction methods for reducing the dimension space of predictors without losing regression information requires inverting the covariance matrix of the predictors. This has posed a number of…

Methodology · Statistics 2019-10-01 Kabir Opeyemi Olorede , Waheed Babatunde Yahya

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

Most evolutionary algorithms have parameters, which allow a great flexibility in controlling their behavior and adapting them to new problems. To achieve the best performance, it is often needed to control some of the parameters during…

Neural and Evolutionary Computing · Computer Science 2021-06-07 Maxim Buzdalov , Carola Doerr

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

Computation · Statistics 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

Tuning hyper-parameters for evolutionary algorithms is an important issue in computational intelligence. Performance of an evolutionary algorithm depends not only on its operation strategy design, but also on its hyper-parameters.…

Neural and Evolutionary Computing · Computer Science 2020-11-24 Haotian Zhang , Jianyong Sun , Zongben Xu

We study adversarial online nonparametric regression with general convex losses and propose a parameter-free learning algorithm that achieves minimax optimal rates. Our approach leverages chaining trees to compete against H{\"o}lder…

Statistics Theory · Mathematics 2025-04-14 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

Outline of several strategies for using Gaussian processes as surrogate models for the covariance matrix adaptation evolution strategy (CMA-ES).

Neural and Evolutionary Computing · Computer Science 2014-12-01 Lukáš Bajer , Martin Holeňa

Natural Evolution Strategies (NES) is a promising framework for black-box continuous optimization problems. NES optimizes the parameters of a probability distribution based on the estimated natural gradient, and one of the key parameters…

Neural and Evolutionary Computing · Computer Science 2022-02-08 Masahiro Nomura , Isao Ono

We consider Bayesian online static parameter estimation for state-space models. This is a very important problem, but is very computationally challenging as the state- of-the art methods that are exact, often have a computational cost that…

Computation · Statistics 2015-03-03 Yan Zhou , Ajay Jasra

Optimal setting of several hyper-parameters in machine learning algorithms is key to make the most of available data. To this aim, several methods such as evolutionary strategies, random search, Bayesian optimization and heuristic rules of…

Machine Learning · Computer Science 2021-12-16 Juan Cruz Barsce , Jorge A. Palombarini , Ernesto C. Martínez

In this paper, sparsification techniques aided online prediction algorithms in a reproducing kernel Hilbert space are studied for nonstationary time series. The online prediction algorithms as usual consist of the selection of kernel…

Signal Processing · Electrical Eng. & Systems 2022-05-13 Jinhua Guo , Hao Chen , Jingxin Zhang , Sheng Chen

Evolutionary multi-agent systems (EMASs) are very good at dealing with difficult, multi-dimensional problems, their efficacy was proven theoretically based on analysis of the relevant Markov-Chain based model. Now the research continues on…

Neural and Evolutionary Computing · Computer Science 2022-10-25 Mateusz Godzik , Jacek Dajda , Marek Kisiel-Dorohinicki , Aleksander Byrski , Leszek Rutkowski , Patryk Orzechowski , Joost Wagenaar , Jason H. Moore

This paper proposes a natural evolution strategy (NES) for mixed-integer black-box optimization (MI-BBO) that appears in real-world problems such as hyperparameter optimization of machine learning and materials design. This problem is…

Neural and Evolutionary Computing · Computer Science 2023-04-24 Koki Ikeda , Isao Ono

Evolutionary computation (EC), as a powerful optimization algorithm, has been applied across various domains. However, as the complexity of problems increases, the limitations of EC have become more apparent. The advent of large language…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Jinyu Cai , Jinglue Xu , Jialong Li , Takuto Ymauchi , Hitoshi Iba , Kenji Tei

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

Machine Learning · Statistics 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

We study the $(1,\lambda)$-EA with mutation rate $c/n$ for $c\le 1$, where the population size is adaptively controlled with the $(1:s+1)$-success rule. Recently, Hevia Fajardo and Sudholt have shown that this setup with $c=1$ is efficient…

Neural and Evolutionary Computing · Computer Science 2023-07-13 Marc Kaufmann , Maxime Larcher , Johannes Lengler , Xun Zou

High fidelity behavior prediction of intelligent agents is critical in many applications. However, the prediction model trained on the training set may not generalize to the testing set due to domain shift and time variance. The challenge…

Machine Learning · Computer Science 2020-04-29 Abulikemu Abuduweili , Changliu Liu

Quality-Diversity (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on…

Neural and Evolutionary Computing · Computer Science 2025-05-28 Shihan Zhao , Stefanos Nikolaidis

We consider the linear regression problem under semi-supervised settings wherein the available data typically consists of: (i) a small or moderate sized 'labeled' data, and (ii) a much larger sized 'unlabeled' data. Such data arises…

Methodology · Statistics 2018-07-02 Abhishek Chakrabortty , Tianxi Cai