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We consider a non-stationary formulation of the stochastic multi-armed bandit where the rewards are no longer assumed to be identically distributed. For the best-arm identification task, we introduce a version of Successive Elimination…

Artificial Intelligence · Computer Science 2016-09-09 Robin Allesiardo , Raphaël Féraud , Odalric-Ambrym Maillard

Understanding how evolutionary algorithms perform on constrained problems has gained increasing attention in recent years. In this paper, we study how evolutionary algorithms optimize constrained versions of the classical LeadingOnes…

Neural and Evolutionary Computing · Computer Science 2023-05-30 Tobias Friedrich , Timo Kötzing , Aneta Neumann , Frank Neumann , Aishwarya Radhakrishnan

This paper studies the control-oriented identification problem of set-valued moving average systems with uniform persistent excitations and observation noises. A stochastic approximation-based (SA-based) algorithm without projections or…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Jieming Ke , Ying Wang , Yanlong Zhao , Ji-Feng Zhang

Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse their runtime on many illustrative…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tiago Paixão , Jorge Pérez Heredia , Dirk Sudholt , Barbora Trubenová

We consider stochastic optimization with delayed gradients where, at each time step $t$, the algorithm makes an update using a stale stochastic gradient from step $t - d_t$ for some arbitrary delay $d_t$. This setting abstracts asynchronous…

Optimization and Control · Mathematics 2021-11-16 Alon Cohen , Amit Daniely , Yoel Drori , Tomer Koren , Mariano Schain

Repair operators are often used for constraint handling in constrained combinatorial optimization. We investigate the (1+1)~EA equipped with a tailored jump-and-repair operation that can be used to probabilistically repair infeasible…

Neural and Evolutionary Computing · Computer Science 2023-01-24 Luke Branson , Andrew M. Sutton

We propose two algorithms that can find local minima faster than the state-of-the-art algorithms in both finite-sum and general stochastic nonconvex optimization. At the core of the proposed algorithms is $\text{One-epoch-SNVRG}^+$ using…

Machine Learning · Computer Science 2018-06-25 Dongruo Zhou , Pan Xu , Quanquan Gu

In the evolutionary computation community, it is widely believed that stagnation impedes convergence in evolutionary algorithms, and that convergence inherently indicates optimality. However, this perspective is misleading. In this study,…

Machine Learning · Computer Science 2026-02-06 Xiaojun Zhou

Consider a discrete-time linear time-invariant descriptor system $Ex(k+1)=Ax(k)$ for $k \in \mathbb Z_{+}$. In this paper, we tackle for the first time the problem of stabilizing such systems by computing a nearby regular index one stable…

Optimization and Control · Mathematics 2019-10-11 Nicolas Gillis , Michael Karow , Punit Sharma

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

We study the problem of \emph{dynamic regret minimization} in $K$-armed Dueling Bandits under non-stationary or time varying preferences. This is an online learning setup where the agent chooses a pair of items at each round and observes…

Machine Learning · Computer Science 2022-06-14 Aadirupa Saha , Shubham Gupta

Chance-constrained problems involve stochastic components in the constraints which can be violated with a small probability. We investigate the impact of different types of chance constraints on the performance of iterative search…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Saba Sadeghi Ahouei , Jacob de Nobel , Aneta Neumann , Thomas Bäck , Frank Neumann

Whilst there are a plethora of algorithms for detecting changes in mean in univariate time-series, almost all struggle in real applications where there is autocorrelated noise or where the mean fluctuates locally between the abrupt changes…

Methodology · Statistics 2021-10-18 Gaetano Romano , Guillem Rigaill , Vincent Runge , Paul Fearnhead

Stochastic Gradient Descent (SGD) and its momentum variants form the backbone of deep learning optimization, yet the underlying dynamics of their gradient behavior remain insufficiently understood. In this work, we reinterpret gradient…

Machine Learning · Computer Science 2026-03-09 Zhipeng Yao , Rui Yu , Guisong Chang , Ying Li , Yu Zhang , Dazhou Li

The runtime of evolutionary algorithms (EAs) depends critically on their parameter settings, which are often problem-specific. Automated schemes for parameter tuning have been developed to alleviate the high costs of manual parameter…

Neural and Evolutionary Computing · Computer Science 2016-06-20 Duc-Cuong Dang , Per Kristian Lehre

In the context of unconstraint numerical optimization, this paper investigates the global linear convergence of a simple probabilistic derivative-free optimization algorithm (DFO). The algorithm samples a candidate solution from a standard…

Numerical Analysis · Computer Science 2013-11-01 Anne Auger , Nikolaus Hansen

Evolutionary algorithms are bio-inspired algorithms that can easily adapt to changing environments. Recent results in the area of runtime analysis have pointed out that algorithms such as the (1+1)~EA and Global SEMO can efficiently…

Neural and Evolutionary Computing · Computer Science 2022-06-07 Vahid Roostapour , Aneta Neumann , Frank Neumann

Pseudo-Boolean monotone functions are unimodal functions which are trivial to optimize for some hillclimbers, but are challenging for a surprising number of evolutionary algorithms (EAs). A general trend is that EAs are efficient if…

Neural and Evolutionary Computing · Computer Science 2021-04-09 Johannes Lengler , Xun Zou

Evolutionary algorithms (EAs) have found many successful real-world applications, where the optimization problems are often subject to a wide range of uncertainties. To understand the practical behaviors of EAs theoretically, there are a…

Computational Complexity · Computer Science 2022-12-07 Chao Bian , Chao Qian , Ke Tang , Yang Yu

One hope when using non-elitism in evolutionary computation is that the ability to abandon the current-best solution aids leaving local optima. To improve our understanding of this mechanism, we perform a rigorous runtime analysis of a…

Neural and Evolutionary Computing · Computer Science 2022-06-17 Benjamin Doerr