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The distribution of human linguistic groups presents a number of interesting and non-trivial patterns. The distributions of the number of speakers per language and the area each group covers follow log-normal distributions, while population…

Populations and Evolution · Quantitative Biology 2015-12-16 Jose A. Capitan , Susanna Manrubia

Understanding the memory capacity of neural networks remains a challenging problem in implementing artificial intelligence systems. In this paper, we address the notion of capacity with respect to Hopfield networks and propose a dynamic…

Neural and Evolutionary Computing · Computer Science 2017-09-19 Saarthak Sarup , Mingoo Seok

Behavioral changes in animals and humans, as a consequence of an error or a verbal instruction, can be extremely rapid. Improvement in behavioral performances are usually associated in machine learning and reinforcement learning to synaptic…

Neurons and Cognition · Quantitative Biology 2025-03-12 Cristiano Capone , Luca Falorsi

Traditional approaches to understanding the brain's resilience to neuropathology have identified neurophysiological variables, often described as brain or cognitive 'reserve,' associated with better outcomes. However, mechanisms of function…

Neurons and Cognition · Quantitative Biology 2017-01-18 John D. Medaglia , Fabio Pasqualetti , Roy H. Hamilton , Sharon L. Thompson-Schill , Danielle S. Bassett

Current methods for estimating the required neural-network size for a given problem class have focused on methods that can be computationally intensive, such as neural-architecture search and pruning. In contrast, methods that add capacity…

Machine Learning · Computer Science 2023-01-18 Noah Ford , John Winder , Josh McClellan

We introduce a flexible setup allowing for a neural network to learn both its size and topology during the course of a standard gradient-based training. The resulting network has the structure of a graph tailored to the particular learning…

Machine Learning · Computer Science 2020-07-16 Romuald A. Janik , Aleksandra Nowak

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

Adaptation to changing environments is a universal feature of life and can involve the organism modifying itself in response to the environment as well as actively modifying the environment to control selection pressures. The latter case…

Populations and Evolution · Quantitative Biology 2023-01-10 Edward D. Lee , Jessica C. Flack , David C. Krakauer

Continuous adaptation allows survival in an ever-changing world. Adjustments in the synaptic coupling strength between neurons are essential for this capability, setting us apart from simpler, hard-wired organisms. How these changes can be…

Neurons and Cognition · Quantitative Biology 2021-01-06 Jakob Jordan , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici

Different evolutionary models are known to make disparate predictions for the success of an invading mutant in some situations. For example, some evolutionary mechanics lead to amplification of selection in structured populations, while…

Populations and Evolution · Quantitative Biology 2020-07-01 Francisco Herrerías-Azcué , Vicente Pérez-Muñuzuri , Tobias Galla

Associative memory models are content-addressable memory systems fundamental to biological intelligence and are notable for their high interpretability. However, existing models evaluate the quality of retrieval based on proximity, which…

Machine Learning · Computer Science 2025-11-26 Shurong Wang , Yuqi Pan , Zhuoyang Shen , Meng Zhang , Hongwei Wang , Guoqi Li

Adaptation to dynamic conditions requires a certain degree of diversity. If all agents take the best current action, learning that the underlying state has changed and behavior should adapt will be slower. Diversity is harder to maintain…

Social and Information Networks · Computer Science 2023-05-02 Daron Acemoglu , Asuman Ozdaglar , Sarath Pattathil

We present in this paper a systematic study on how to morph a well-trained neural network to a new one so that its network function can be completely preserved. We define this as \emph{network morphism} in this research. After morphing a…

Machine Learning · Computer Science 2016-03-09 Tao Wei , Changhu Wang , Yong Rui , Chang Wen Chen

Learning and memory are intertwined in our brain and their relationship is at the core of several recent neural network models. In particular, the Attention-Gated MEmory Tagging model (AuGMEnT) is a reinforcement learning network with an…

Neurons and Cognition · Quantitative Biology 2019-02-19 Marco Martinolli , Wulfram Gerstner , Aditya Gilra

The interplay between structure and function is crucial in determining some emerging properties of many natural systems. Here we use an adaptive neural network model inspired in observations of synaptic pruning that couples activity and…

Physics and Society · Physics 2019-04-26 Ana P. Millán , J. J. Torres , S. Johnson , J. Marro

We consider a neural network with adapting synapses whose dynamics can be analitically computed. The model is made of $N$ neurons and each of them is connected to $K$ input neurons chosen at random in the network. The synapses are…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Lattanzi , G. Nardulli , G. Pasquariello , S. Stramaglia

Many living and artificial systems improve their fitness or performance by adapting to changing environments or diverse training data. However, it remains unclear how such environmental variation influences adaptation, what is learned in…

Computational Physics · Physics 2026-04-09 Mengjie Zu , Carl P. Goodrich

We explore how different types and uses of memory can aid spatial navigation in changing uncertain environments. In the simple foraging task we study, every day, our agent has to find its way from its home, through barriers, to food.…

Artificial Intelligence · Computer Science 2026-02-18 Omid Madani , J. Brian Burns , Reza Eghbali , Thomas L. Dean

A wide range of networks, including small-world topology, can be modelled by the connectivity $\gamma$, and randomness $\omega$ of the links. Both learning and attractor abilities of a neural network can be measured by the mutual…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Dominguez , K. Koroutchev , E. Serrano , F. B. Rodriguez

We show that a protein can be trained to recognise multiple conformations, analogous to an associative memory, and provide capacity calculations based on energy fluctuations and information theory. Unlike the linear capacity of a Hopfield…

Soft Condensed Matter · Physics 2007-05-23 Thomas M A Fink , Robin C Ball