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Combinatorial optimization problems are a prominent application area of evolutionary algorithms, where the (1+1) EA is one of the most investigated. We extend this algorithm by introducing some problem knowledge with a specialized mutation…

Combinatorics · Mathematics 2022-03-17 Samuel Baguley , Tobias Friedrich , Timo Kötzing , Xiaoyue Li , Marcus Pappik , Ziena Zeif

One important goal of black-box complexity theory is the development of complexity models allowing to derive meaningful lower bounds for whole classes of randomized search heuristics. Complementing classical runtime analysis, black-box…

Neural and Evolutionary Computing · Computer Science 2016-04-11 Carola Doerr , Johannes Lengler

Masked Autoencoders (MAE) achieve self-supervised learning of image representations by randomly removing a portion of visual tokens and reconstructing the original image as a pretext task, thereby significantly enhancing pretraining…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Jiaxuan Li , Qing Xu , Xiangjian He , Ziyu Liu , Chang Xing , Zhen Chen , Daokun Zhang , Rong Qu , Chang Wen Chen

We propose a general algorithm of constructing an extended formulation for any given set of linear constraints with integer coefficients. Our algorithm consists of two phases: first construct a decision diagram $(V,E)$ that somehow…

Data Structures and Algorithms · Computer Science 2023-09-07 Yuta Kurokawa , Ryotaro Mitsuboshi , Haruki Hamasaki , Kohei Hatano , Eiji Takimoto , Holakou Rahmanian

Real-world optimization problems often have expensive objective functions in terms of cost and time. It is desirable to find near-optimal solutions with very few function evaluations. Surrogate-assisted optimizers tend to reduce the…

Machine Learning · Statistics 2019-04-18 Samineh Bagheri , Wolfgang Konen , Thomas Bäck

In this article we present an automatic method for charge and mass identification of charged nuclear fragments produced in heavy ion collisions at intermediate energies. The algorithm combines a generative model of DeltaE - E relation and a…

Instrumentation and Detectors · Physics 2017-10-04 Katarzyna Schmidt , Oskar Wyszynski

In this work, we propose a new variant of natural evolution strategies (NES) for high-dimensional black-box optimization problems. The proposed method, CR-FM-NES, extends a recently proposed state-of-the-art NES, Fast Moving Natural…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Masahiro Nomura , Isao Ono

Deep vision classifiers often achieve high accuracy while remaining poorly calibrated and fragile under small distribution shifts. We present Margin and Consistency Supervision (MaCS), a simple, architecture-agnostic regularization…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Salim Khazem

Box-constraints limit the domain of decision variables and are common in real-world optimization problems, for example, due to physical, natural or spatial limitations. Consequently, solutions violating a box-constraint may not be…

Neural and Evolutionary Computing · Computer Science 2023-05-25 Diederick Vermetten , Manuel López-Ibáñez , Olaf Mersmann , Richard Allmendinger , Anna V. Kononova

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

Evolutionary algorithms are sensitive to the mutation rate (MR); no single value of this parameter works well across domains. Self-adaptive MR approaches have been proposed but they tend to be brittle: Sometimes they decay the MR to zero,…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Akarsh Kumar , Bo Liu , Risto Miikkulainen , Peter Stone

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

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 introduce a general random model of a combinatorial optimization problem with geometric structure that encapsulates both linear programming and integer linear programming. Let $Q$ be a bounded set called the feasible set, $E$ be an…

Probability · Mathematics 2024-07-25 Dylan J. Altschuler

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimization. The CE method is used as a Search step by the MADS algorithm. The result of…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Romain Couderc , Jean Bigeon

This work introduces MADS-PIP, an efficient framework that integrates a penalty-interior point strategy into the mesh adaptive direct search (MADS) algorithm for solving nonsmooth blackbox optimization problems with general inequality and…

Optimization and Control · Mathematics 2026-01-29 Charles Audet , Andrea Brilli , Youssef Diouane , Sébastien Le Digabel , Everton J. Silva , Christophe Tribes

Improved EM strategies, based on the idea of efficient data augmentation (Meng and van Dyk 1997, 1998), are presented for ML estimation of mixture proportions. The resulting algorithms inherit the simplicity, ease of implementation, and…

Computation · Statistics 2010-02-22 Yaming Yu

Masked Image Modeling (MIM) methods, like Masked Autoencoders (MAE), efficiently learn a rich representation of the input. However, for adapting to downstream tasks, they require a sufficient amount of labeled data since their rich features…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Johannes Lehner , Benedikt Alkin , Andreas Fürst , Elisabeth Rumetshofer , Lukas Miklautz , Sepp Hochreiter

Compact optimization algorithms are a class of Estimation of Distribution Algorithms (EDAs) characterized by extremely limited memory requirements (hence they are called "compact"). As all EDAs, compact algorithms build and update a…

Artificial Intelligence · Computer Science 2019-04-11 Giovanni Iacca , Fabio Caraffini

The limited memory BFGS method (L-BFGS) of Liu and Nocedal (1989) is often considered to be the method of choice for continuous optimization when first- and/or second- order information is available. However, the use of L-BFGS can be…

Neural and Evolutionary Computing · Computer Science 2015-11-03 Ilya Loshchilov
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