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It is widely accepted that the dynamic of entanglement in presence of a generic circuit can be predicted by the knowledge of the statistical properties of the entanglement spectrum. We tested this assumption by applying a Metropolis-like…

Quantum Physics · Physics 2023-09-20 J. Odavić , G. Torre , N. Mijić , D. Davidović , F. Franchini , S. M. Giampaolo

We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its neighbours have the same corresponding state. It is shown…

Physics and Society · Physics 2008-12-01 Renaud Lambiotte , Stefan Thurner , Rudolf Hanel

Developing reliable mechanisms for continuous local learning is a central challenge faced by biological and artificial systems. Yet, how the environmental factors and structural constraints on the learning network influence the optimal…

Neurons and Cognition · Quantitative Biology 2024-03-21 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

Many natural and technological systems fail to adapt to changing external conditions and move to a different state if the conditions vary too fast. Such "non-adiabatic" processes are ubiquitous, but little understood. We identify these…

Dynamical Systems · Mathematics 2015-06-18 Clare Perryman , Sebastian Wieczorek

The idea that there are any large-scale trends in the evolution of biological organisms is highly controversial. It is commonly believed, for example, that there is a large-scale trend in evolution towards increasing complexity, but…

Neural and Evolutionary Computing · Computer Science 2021-06-08 Peter D. Turney

The well-defined but intricate course of time evolution exhibited by many naturally occurring phenomena suggests some source of dynamic order sustaining it. In spite of its obviousness as a problem, it has remained absent from the…

Adaptation and Self-Organizing Systems · Physics 2021-03-02 R. Herrero , J. Farjas , F. Pi , G. Orriols

Network embeddings learn to represent nodes as low-dimensional vectors to preserve the proximity between nodes and communities of the network for network analysis. The temporal edges (e.g., relationships, contacts, and emails) in dynamic…

Social and Information Networks · Computer Science 2019-06-25 Chuanchang Chen , Yubo Tao , Hai Lin

Conventional deep learning prioritizes unconstrained optimization, yet biological systems operate under strict metabolic constraints. We propose that these physical constraints shape dynamics to function not as limitations, but as a…

Machine Learning · Computer Science 2026-01-23 Xia Chen

It is suggested that the degree distribution for networks of the cell-metabolism for simple organisms reflects an ubiquitous randomness. This implies that natural selection has exerted no or very little pressure on the network degree…

Biological Physics · Physics 2008-03-05 Petter Minnhagen , Sebastian Bernhardsson

Noise is a ubiquitous feature of the physical world. As a result, the first prerequisite of life is fault tolerance: maintaining integrity of state despite external bombardment. Recent experimental advances have revealed that biological…

Populations and Evolution · Quantitative Biology 2023-04-14 Trevor McCourt , Ila R. Fiete , Isaac L. Chuang

Analogous to living ecosystems in nature, web services form an artificial ecosystem consisting of many tags and their associated media, such as photographs, movies, and web pages created by human users. Concerning biological ecosystems, we…

Social and Information Networks · Computer Science 2019-04-01 Takashi Ikegami , Yasuhiro Hashimoto , Mizuki Oka

Without loss of generalisation to other systems, including possibly non-deterministic ones, we demonstrate the application of methods drawn from algorithmic information dynamics to the characterisation and classification of emergent and…

Cellular Automata and Lattice Gases · Physics 2018-04-09 Hector Zenil , Narsis A. Kiani , Jesper Tegnér

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

Populations and Evolution · Quantitative Biology 2024-04-10 Joachim Krug , Daniel Oros

The dominant artificial intelligence paradigm trains neural architectures via gradient descent against proxy objectives and reinforcement learning from human feedback. While remarkably capable, this top-down optimization inherently…

Neural and Evolutionary Computing · Computer Science 2026-05-26 Ata G. Zare

Boolean networks serve as discrete models of regulation and signaling in biological cells. Identifying the key controllers of such processes is important for understanding the dynamical systems and planning further analysis. Here we…

Molecular Networks · Quantitative Biology 2012-09-14 Fakhteh Ghanbarnejad , Konstantin Klemm

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

We show that the Tangled Nature model can be interpreted as a general formulation of the quasi-species model by Eigen et al. in a frequency dependent fitness landscape. We present a detailed theoretical derivation of the mutation threshold,…

Statistical Mechanics · Physics 2009-11-07 Simone Avogadro di Collobiano , Kim Christensen , Henrik Jeldtoft Jensen

One of the most intriguing questions in evolution is how organisms exhibit suitable phenotypic variation to rapidly adapt in novel selective environments which is crucial for evolvability. Recent work showed that when selective environments…

Populations and Evolution · Quantitative Biology 2015-08-28 Kostas Kouvaris , Jeff Clune , Louis Kounios , Markus Brede , Richard A. Watson

We investigate different emergent dynamics namely oscillation quenching and revival of oscillation in a global network of identical oscillators coupled with diffusive (positive) delay coupling as it is perturbed by symmetry breaking…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Lekha Sharma , Mauparna Nandan , Dibakar Ghosh , Chittaranjan Hens , Pinaki Pal

It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks that lead to self-organization of network…

Adaptation and Self-Organizing Systems · Physics 2008-11-07 Thimo Rohlf , Stefan Bornholdt