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This research considers the task of evolving the physical structure of a robot to enhance its performance in various environments, which is a significant problem in the field of Evolutionary Robotics. Inspired by the fields of evolutionary…

Robotics · Computer Science 2018-10-12 Jack Collins , Wade Geles , David Howard , Frederic Maire

The issue of so-called maximal regularity is discussed within a Hilbert space framework for a class of evolutionary equations. Viewing evolutionary equations as a sums of two unbounded operators, showing maximal regularity amounts to…

Analysis of PDEs · Mathematics 2016-04-05 Rainer Picard , Sascha Trostorff , Marcus Waurick

Deep reinforcement learning (RL) approaches have been broadly applied to a large number of robotics tasks, such as robot manipulation and autonomous driving. However, an open problem in deep RL is learning policies that are robust to…

Robotics · Computer Science 2023-12-19 Rohan Banerjee , Prishita Ray , Mark Campbell

Complex change is often described as "evolutionary" in economics, policy, and technology, yet most system dynamics models remain constrained to fixed state spaces and equilibrium-seeking behavior. This paper argues that evolutionary…

Populations and Evolution · Quantitative Biology 2026-02-19 Dan Adler

When a neural network can learn multiple distinct algorithms to solve a task, how does it "choose" between them during training? To approach this question, we take inspiration from ecology: when multiple species coexist, they eventually…

Machine Learning · Computer Science 2024-05-28 Xiaoman Delores Ding , Zifan Carl Guo , Eric J. Michaud , Ziming Liu , Max Tegmark

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

We analyze a stylized model of co-evolution between any two purely competing species (e.g., host and parasite), both sexually reproducing. Similarly to a recent model of Livnat \etal~\cite{evolfocs14} the fitness of an individual depends on…

Computer Science and Game Theory · Computer Science 2017-11-21 Georgios Piliouras , Leonard J. Schulman

Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

Machine Learning · Statistics 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

The mutual relationship between evolution and learning is a controversial argument among the artificial intelligence and neuro-evolution communities. After more than three decades, there is still no common agreement on the matter. In this…

Neural and Evolutionary Computing · Computer Science 2023-06-22 Paolo Pagliuca

Consider a population of organisms that harvest free energy from their environment to reproduce. This paper shows that if the organisms' reproductive rates are proportional to the amount of physical free energy that they can convert into…

Populations and Evolution · Quantitative Biology 2025-11-25 Seth Lloyd

These notes introduce probabilistic landscape models defined on high-dimensional discrete sequence spaces. The models are motivated primarily by fitness landscapes in evolutionary biology, but links to statistical physics and computer…

Populations and Evolution · Quantitative Biology 2025-12-24 Sakshi Pahujani , Joachim Krug

Biological neural networks can perform complex computations to predict their environment, far above the limited predictive capabilities of individual neurons. While conventional approaches to understanding these computations often focus on…

Neurons and Cognition · Quantitative Biology 2024-06-28 Hanna M. Tolle , Andrea I Luppi , Anil K. Seth , Pedro A. M. Mediano

Evolutionary optimization algorithms are often derived from loose biological analogies and struggle to leverage information obtained during the sequential course of optimization. An alternative promising approach is to leverage data and…

Artificial Intelligence · Computer Science 2024-03-06 Robert Tjarko Lange , Yingtao Tian , Yujin Tang

How adaptive evolution to one environmental stress improves or suppresses adaptation to another is an important problem in evolutionary biology. For instance, in microbiology, the evolution of bacteria to be resistant to different…

Populations and Evolution · Quantitative Biology 2023-02-23 Takuya U. Sato , Chikara Furusawa , Kunihiko Kaneko

Artificial and biological systems may evolve similar computational solutions despite fundamental differences in architecture and learning mechanisms -- a form of convergent evolution. We demonstrate this phenomenon through large-scale…

Neurons and Cognition · Quantitative Biology 2025-07-04 Guobin Shen , Dongcheng Zhao , Yiting Dong , Qian Zhang , Yi Zeng

We study the probabilities of evolution based on random mutations and natural selection. We conclude that evolution to multicellular eukaryots, or even prokaryots, is unlikely to be the result of only random mutations. Complex organisms…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Hoeneisen , G. Trueba

Selection in a time-periodic environment is modeled via the continuous-time two-player replicator dynamics, which for symmetric pay-offs reduces to the Fisher equation of mathematical genetics. For a sufficiently rapid and cyclic…

Populations and Evolution · Quantitative Biology 2019-10-30 Armen E. Allahverdyan , Sanasar G. Babajanyan , Chin-Kun Hu

Animals are equipped with a rich innate repertoire of sensory, behavioral and motor skills, which allows them to interact with the world immediately after birth. At the same time, many behaviors are highly adaptive and can be tailored to…

Machine Learning · Computer Science 2022-05-03 Robert Tjarko Lange , Henning Sprekeler

Adaptation in a fluctuating environment is a process of fueling environmental information to gain fitness. Living systems have gradually developed strategies for adaptation from random and passive diversification of the phenotype to more…

Populations and Evolution · Quantitative Biology 2017-07-12 Tetsuya J. Kobayashi , Yuki Sughiyama

The rising complexity of our terrestrial surrounding is an empirical fact. Details of this process evaded description in terms of physics for long time attracting attention and creating myriad of ideas including non-scientific ones. In this…

Popular Physics · Physics 2017-03-10 Michal Mandrysz , Jakub Mielczarek