English
Related papers

Related papers: Learning as a phenomenon occurring in a critical s…

200 papers

Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour…

Neurons and Cognition · Quantitative Biology 2007-05-23 Reimer Kuehn , Ion-Olimpiu Stamatescu

Catastrophic forgetting/interference is a critical problem for lifelong learning machines, which impedes the agents from maintaining their previously learned knowledge while learning new tasks. Neural networks, in particular, suffer plenty…

Neural and Evolutionary Computing · Computer Science 2019-03-15 Soheil Kolouri , Nicholas Ketz , Xinyun Zou , Jeffrey Krichmar , Praveen Pilly

Recent experimental observations have supported the hypothesis that the cerebral cortex operates in a dynamical regime near criticality, where the neuronal network exhibits a mixture of ordered and disordered patterns. However, A…

Neurons and Cognition · Quantitative Biology 2023-09-08 Longbin Zeng , Fengjian Feng , Wenlian Lu

Animals use past experiences to adapt future behavior. To enable this rapid learning, vertebrates and invertebrates have evolved analogous neural structures like the vertebrate cerebellum or insect mushroom body. A defining feature of these…

Neurons and Cognition · Quantitative Biology 2025-12-24 Lucas Rudelt , Fabian Mikulasch , Viola Priesemann , André Ferreira Castro

Many mathematical models of synaptic plasticity have been proposed to explain the diversity of plasticity phenomena observed in biological organisms. These models range from simple interpretations of Hebb's postulate, which suggests that…

Neurons and Cognition · Quantitative Biology 2025-08-05 Danil Tyulmankov

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

Neurons in the brain are wired into adaptive networks that exhibit a range of collective dynamics. Oscillations, for example, are paradigmatic synchronous patterns of neural activity with a defined temporal scale. Neuronal avalanches, in…

Neurons and Cognition · Quantitative Biology 2022-07-27 Fabrizio Lombardi , Selver Pepić , Oren Shriki , Gašper Tkačik , Daniele De Martino

Understanding how recurrent neural circuits can learn to implement dynamical systems is a fundamental challenge in neuroscience. The credit assignment problem, i.e. determining the local contribution of each synapse to the network's global…

Neurons and Cognition · Quantitative Biology 2017-08-08 Alireza Alemi , Christian Machens , Sophie Denève , Jean-Jacques Slotine

The observation of apparent power-laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of self-organised criticality a…

Neurons and Cognition · Quantitative Biology 2014-10-22 Caroline Hartley , Timothy J Taylor , Istvan Z Kiss , Simon F Farmer , Luc Berthouze

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state. The effect can be modeled with quartic interactions between non-trainable…

Statistical Mechanics · Physics 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

Plastic self-adaptation, nonlinear recurrent dynamics and multi-scale memory are desired features in hardware implementations of neural networks, because they enable them to learn, adapt and process information similarly to the way…

Learning is a physical process. Here, we aim to study a simple dynamical system composed of springs and sticks capable of arbitrarily approximating any continuous function. The main idea of our work is to use the sticks to mimic a…

Machine Learning · Computer Science 2025-08-27 Luis Mantilla Calderón , Alán Aspuru-Guzik

In lifelong learning systems based on artificial neural networks, one of the biggest obstacles is the inability to retain old knowledge as new information is encountered. This phenomenon is known as catastrophic forgetting. In this paper,…

Machine Learning · Computer Science 2022-08-16 Alexander Ororbia , Ankur Mali , Daniel Kifer , C. Lee Giles

To learn useful dynamics on long time scales, neurons must use plasticity rules that account for long-term, circuit-wide effects of synaptic changes. In other words, neural circuits must solve a credit assignment problem to appropriately…

Neurons and Cognition · Quantitative Biology 2019-05-30 Owen Marschall , Kyunghyun Cho , Cristina Savin

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

Brain-inspired learning models attempt to mimic the cortical architecture and computations performed in the neurons and synapses constituting the human brain to achieve its efficiency in cognitive tasks. In this work, we present…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Priyadarshini Panda , Gopalakrishnan Srinivasan , Kaushik Roy

Neuronal avalanche is a spontaneous neuronal activity which obeys a power-law distribution of population event sizes with an exponent of -3/2. It has been observed in the superficial layers of cortex both \emph{in vivo} and \emph{in vitro}.…

Neurons and Cognition · Quantitative Biology 2015-06-04 Xiumin Li , Michael Small

Humans and animals learn throughout life. Such continual learning is crucial for intelligence. In this chapter, we examine the pivotal role plasticity mechanisms with complex internal synaptic dynamics could play in enabling this ability in…

Neurons and Cognition · Quantitative Biology 2024-10-21 Friedemann Zenke , Axel Laborieux

Similar to humans and animals, deep artificial neural networks exhibit critical periods during which a temporary stimulus deficit can impair the development of a skill. The extent of the impairment depends on the onset and length of the…

Machine Learning · Computer Science 2019-02-26 Alessandro Achille , Matteo Rovere , Stefano Soatto