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The population-based optimization algorithms have provided promising results in feature selection problems. However, the main challenges are high time complexity. Moreover, the interaction between features is another big challenge in FS…

神经与进化计算 · 计算机科学 2021-10-26 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

最优化与控制 · 数学 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

Recent advances in convex optimization have leveraged computer-assisted proofs to develop optimized first-order methods that improve over classical algorithms. However, each optimized method is specially tailored for a particular problem…

最优化与控制 · 数学 2025-07-01 Jinho Bok , Jason M. Altschuler

An algorithm is proposed, analyzed, and tested experimentally for solving stochastic optimization problems in which the decision variables are constrained to satisfy equations defined by deterministic, smooth, and nonlinear functions. It is…

最优化与控制 · 数学 2021-07-09 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

When solving optimization problems with multiple objective functions we are often faced with the situation that one or several objective functions are non-convex or that we can not easily show the convexity of all functions involved. In…

最优化与控制 · 数学 2020-04-01 Kerstin Dächert , Katrin Teichert

The recently proposed Forgetting Transformer (FoX) incorporates a forget gate into softmax attention and has shown consistently better or on-par performance compared to the standard RoPE-based Transformer. Notably, many attention heads in…

机器学习 · 计算机科学 2025-08-13 Zhixuan Lin , Johan Obando-Ceron , Xu Owen He , Aaron Courville

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

系统与控制 · 电气工程与系统科学 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

In this paper, we develop a novel distributed algorithm for addressing convex optimization with both nonlinear inequality and linear equality constraints, where the objective function can be a general nonsmooth convex function and all the…

最优化与控制 · 数学 2021-02-26 Xuyang Wu , He Wang , Jie Lu

We present a new family of min-max optimization algorithms that automatically exploit the geometry of the gradient data observed at earlier iterations to perform more informative extra-gradient steps in later ones. Thanks to this adaptation…

最优化与控制 · 数学 2020-11-20 Kimon Antonakopoulos , E. Veronica Belmega , Panayotis Mertikopoulos

We discuss a new optimization strategy, which considerably improves the effectivity of evolutionary algorithms applied to a certain class of optimization problems. The basic principle is to solve first a simpler related problem, which is…

无序系统与神经网络 · 物理学 2007-05-23 Volkhard Buchholtz , Thorsten Poeschel

First-order optimization (FOO) algorithms are pivotal in numerous computational domains such as machine learning and signal denoising. However, their application to complex tasks like neural network training often entails significant…

机器学习 · 计算机科学 2024-10-30 Yao Shu , Jiongfeng Fang , Ying Tiffany He , Fei Richard Yu

Although adaptive optimization algorithms have been successful in many applications, there are still some mysteries in terms of convergence analysis that have not been unraveled. This paper provides a novel non-convex analysis of adaptive…

最优化与控制 · 数学 2025-04-08 Zhishuai Guo , Yi Xu , Wotao Yin , Rong Jin , Tianbao Yang

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

神经与进化计算 · 计算机科学 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

Inference-time optimization scales computation to derive deliberate reasoning steps for effective performance. While previous search-based strategies address the short-sightedness of auto-regressive generation, the vast search space leads…

机器学习 · 计算机科学 2025-03-18 Fangzhi Xu , Hang Yan , Chang Ma , Haiteng Zhao , Jun Liu , Qika Lin , Zhiyong Wu

We recently highlighted a fundamental problem recognized to confound algorithmic optimization, namely, \textit{conflating} the objective with the objective function. Even when the former is well defined, the latter may not be obvious, e.g.,…

神经与进化计算 · 计算机科学 2022-06-28 Moshe Sipper , Jason H. Moore , Ryan J. Urbanowicz

The paper proposes a novel nature-inspired technique of optimization. It mimics the perching nature of eagles and uses mathematical formulations to introduce a new addition to metaheuristic algorithms. The nature of the proposed algorithm…

神经与进化计算 · 计算机科学 2018-07-10 Ameer Tamoor Khan , Shuai Li Senior , Predrag S. Stanimirovic , Yinyan Zhang

Determining the number of algorithm runs is a critical aspect of experimental design, as it directly influences the experiment's duration and the reliability of its outcomes. This paper introduces an empirical approach to estimating the…

神经与进化计算 · 计算机科学 2025-07-03 Tome Eftimov , Peter Korošec

High-dimensional numerical optimization presents a persistent challenge in computational science. This paper introduces Quasi-Adaptive Search with Asymptotic Reinitialization (QUASAR), an evolutionary algorithm to accelerate convergence in…

最优化与控制 · 数学 2026-02-03 Julian G. Soltes

Optimization problems with more than one objective consist in a very attractive topic for researchers due to its applicability in real-world situations. Over the years, the research effort in the Computational Intelligence field resulted in…

神经与进化计算 · 计算机科学 2019-01-25 F. B. Lima Neto , I. M. C. Albuquerque , J. B. Monteiro Filho

Many resource allocation tasks are challenging global (i.e., non-convex) optimization problems. The main issue is that the computational complexity of these problems grows exponentially in the number of variables instead of polynomially as…

信息论 · 计算机科学 2019-10-17 Bho Matthiesen , Eduard A. Jorswieck