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Maximizing the speed and precision of communication while minimizing power dissipation is a fundamental engineering design goal. Also, biological systems achieve remarkable speed, precision and power efficiency using poorly understood…

Statistical Mechanics · Physics 2016-03-30 Subhaneil Lahiri , Jascha Sohl-Dickstein , Surya Ganguli

We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

In neural systems, synaptic plasticity is usually driven by spike trains. Due to the inherent noises of neurons, synapses and networks, spike trains typically exhibit externally uncontrollable variability such as spatial heterogeneity and…

Neurons and Cognition · Quantitative Biology 2015-06-18 Zedong Bi , Changsong Zhou , Hai-Jun Zhou

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

Optimization and Control · Mathematics 2021-04-28 Isaac Klickstein , Francesco Sorrentino

Biological neurons have adaptive nature and perform complex computations involving the filtering of redundant information. However, most common neural cell models, including biologically plausible, such as Hodgkin-Huxley or Izhikevich, do…

Neurons and Cognition · Quantitative Biology 2021-06-22 Oleg Nikitin , Olga Lukyanova , Alex Kunin

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

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

This paper suggests a learning-theoretic perspective on how synaptic plasticity benefits global brain functioning. We introduce a model, the selectron, that (i) arises as the fast time constant limit of leaky integrate-and-fire neurons…

Neurons and Cognition · Quantitative Biology 2012-09-26 David Balduzzi , Michel Besserve

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

Statistical Mechanics · Physics 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

This paper studies distributed optimal formation control with hard constraints on energy levels and termination time, in which the formation error is to be minimized jointly with the energy cost. The main contributions include a globally…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Chunxiang Jia , Fei Chen , Linying Xiang , Weiyao Lan , Gang Feng

A standard approach to optimizing long-run running costs of discrete systems is based on minimizing the mean-payoff, i.e., the long-run average amount of resources ("energy") consumed per transition. However, this approach inherently…

Systems and Control · Computer Science 2014-03-25 Tomáš Brázdil , David Klaška , Antonín Kučera , Petr Novotný

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

Asynchrony, overlaps and delays in sensory-motor signals introduce ambiguity as to which stimuli, actions, and rewards are causally related. Only the repetition of reward episodes helps distinguish true cause-effect relationships from…

Neural and Evolutionary Computing · Computer Science 2014-09-10 Andrea Soltoggio

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

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

During mammalian development the cerebral metabolic rate correlates qualitatively with synaptogenesis, and both often exhibit bimodal temporal profiles. Despite these non-monotonic dependencies, it is found based on empirical data for…

Neurons and Cognition · Quantitative Biology 2012-04-19 Jan Karbowski

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

Populations and Evolution · Quantitative Biology 2019-06-19 Efe Ilker , Michael Hinczewski

This study addresses the transmission value of energy storage in electric grids. The inherent connection between storage and transmission infrastructure is captured from a "cumulative energy" perspective, which enables the reformulating of…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Qian Zhang , P. R. Kumar , Le Xie

We theoretically and experimentally study finite-time optimal control of a colloidal particle steered through a spatially inhomogeneous environment, modeled by a position-dependent energetic cost at the final state. The competition between…

Statistical Mechanics · Physics 2026-04-29 Jan Meibohm , Samuel Monter , Sarah A. M. Loos , Clemens Bechinger
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