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We consider the numerical solution of the discrete multi-marginal optimal transport (MOT) by means of the Sinkhorn algorithm. In general, the Sinkhorn algorithm suffers from the curse of dimensionality with respect to the number of…

最优化与控制 · 数学 2023-02-22 Fatima Antarou Ba , Michael Quellmalz

We prove a separation between offline and online algorithms for finger-based tournament heaps undergoing key modifications. These heaps are implemented by binary trees with keys stored on leaves, and intermediate nodes tracking the min of…

数据结构与算法 · 计算机科学 2019-08-05 J. Ian Munro , Richard Peng , Sebastian Wild , Lingyi Zhang

Existing evolutionary algorithms for Constrained Multi-objective Optimization Problems (CMOPs) typically treat all constraints uniformly, overlooking their distinct geometric relationships with the true Constrained Pareto Front (CPF). In…

神经与进化计算 · 计算机科学 2026-04-07 Ruiqing Sun , Dawei Feng , Sheng Qi , Xing Zhou , Lianghao Li , Bo Ding , Yijie Wang , Rui Wang , Huaimin Wang

Morpho-evolution (ME) refers to the simultaneous optimisation of a robot's design and controller to maximise performance given a task and environment. Many genetic encodings have been proposed which are capable of representing design and…

人工智能 · 计算机科学 2024-02-13 Sarah L. Thomson , Léni K. Le Goff , Emma Hart , Edgar Buchanan

Rapidly Exploring Random Tree (RRT) algorithms, notably used for nonholonomic vehicle navigation in complex environments, are often not thoroughly evaluated for their specific challenges. This paper presents a first such comparison study of…

机器人学 · 计算机科学 2025-01-14 Trym Tengesdal , Tom Arne Pedersen , Tor Arne Johansen

The brain achieves stability and plasticity in a topologically complex, shifting world through Metric-Topology Factorization (MTF), separating discrete topological indexing for context selection from continuous metric condensation for local…

神经元与认知 · 定量生物学 2026-03-05 Xin Li

In real-world optimization scenarios, the problem instance that we are asked to solve may change during the optimization process, e.g., when new information becomes available or when the environmental conditions change. In such situations,…

神经与进化计算 · 计算机科学 2022-09-12 Nina Bulanova , Arina Buzdalova , Carola Doerr

It may seem very intuitive that for the maximization of the OneMax problem $\OM(x):=\sum_{i=1}^n{x_i}$ the best that an elitist unary unbiased search algorithm can do is to store a best so far solution, and to modify it with the operator…

神经与进化计算 · 计算机科学 2021-01-18 Nathan Buskulic , Carola Doerr

Node connectivity plays a central role in temporal network analysis. We provide a comprehensive study of various concepts of walks in temporal graphs, that is, graphs with fixed vertex sets but edge sets changing over time. Taking into…

数据结构与算法 · 计算机科学 2020-03-12 Anne-Sophie Himmel , Matthias Bentert , André Nichterlein , Rolf Niedermeier

Understanding how crossover works is still one of the big challenges in evolutionary computation research, and making our understanding precise and proven by mathematical means might be an even bigger one. As one of few examples where…

神经与进化计算 · 计算机科学 2015-06-22 Benjamin Doerr , Carola Doerr

The most common representation in evolutionary computation are bit strings. This is ideal to model binary decision variables, but less useful for variables taking more values. With very little theoretical work existing on how to use…

神经与进化计算 · 计算机科学 2016-04-13 Benjamin Doerr , Carola Doerr , Timo Kötzing

We present a time complexity analysis of the Opt-IA artificial immune system (AIS). We first highlight the power and limitations of its distinguishing operators (i.e., hypermutations with mutation potential and ageing) by analysing them in…

神经与进化计算 · 计算机科学 2019-03-18 Dogan Corus , Pietro S. Oliveto , Donya Yazdani

This study presents an internalized morphogenesis model for autonomous systems, such as swarm robotics and micro-nanomachines, that eliminates the need for external spatial computation. Traditional self-organizing models often require…

机器人学 · 计算机科学 2026-02-09 Takeshi Ishida

This paper investigates the performance of multistart next ascent hillclimbing and well-known evolutionary algorithms incorporating diversity preservation techniques on instances of the multimodal problem generator. This generator induces a…

神经与进化计算 · 计算机科学 2022-06-13 Fernando G. Lobo , Mosab Bazargani

Evolutionary Robotics offers the possibility to design robots to solve a specific task automatically by optimizing their morphology and control together. However, this co-optimization of body and control is challenging, because controllers…

机器人学 · 计算机科学 2026-01-08 K. Ege de Bruin , Kyrre Glette , Kai Olav Ellefsen

In collective tree exploration, a team of $k$ mobile agents is tasked to go through all edges of an unknown tree as fast as possible. An edge of the tree is revealed to the team when one agent becomes adjacent to that edge. The agents start…

数据结构与算法 · 计算机科学 2023-11-01 Romain Cosson

We investigate the evolutionary dynamics of a finite population of sequences adapting to NK fitness landscapes. We find that, unlike in the case of an infinite population, the average fitness in a finite population is maximized at a small…

生物物理 · 物理学 2009-11-07 Paulo R. A. Campos , Christoph Adami , Claus O. Wilke

Data mixing--the strategic reweighting of training domains--is a critical component in training robust machine learning models. This problem is naturally formulated as a bilevel optimization task, where the outer loop optimizes domain…

机器学习 · 计算机科学 2026-02-24 Rudrajit Das , Neel Patel , Meisam Razaviyayn , Vahab Mirrokni

In this article, we focus on a periodic resource allocation problem applied to a dynamical system which comes from a biological system. More precisely, we consider a system with $N$ resources and $N$ activities, each activity use the…

数值分析 · 数学 2022-06-01 Olivier Bernard , Liu-Di Lu , Julien Salomon

In Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

机器人学 · 计算机科学 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette