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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

Nanowire networks are promising memristive architectures for neuromorphic applications due to their connectivity and neurosynaptic-like behaviours. Here, we demonstrate a self-similar scaling of the conductance of networks and the junctions…

We describe traveling waves in a basic model for three-dimensional water-wave dynamics in the weakly nonlinear long-wave regime. Small solutions that are periodic in the direction of translation (or orthogonal to it) form an…

Pattern Formation and Solitons · Physics 2015-06-26 Robert L. Pego , Jose Raul Quintero

The effect of oscillatory shear flows on turbulent transport of passive scalar fields is studied by numerical computations based on the results provided by E. Kim [\emph{Physics of Plasmas}, {\bf 13}, 022308, 2006]. Turbulent diffusion is…

Plasma Physics · Physics 2009-11-13 A. P. L. Newton , E. Kim

In this paper we study the concept of using the interaction between waves and a trainable medium in order to construct a matrix-vector multiplier. In particular we study such a device in the context of the backpropagation algorithm, which…

Neural and Evolutionary Computing · Computer Science 2015-10-14 Michiel Hermans , Thomas Van Vaerenbergh

Information encoding in the nervous system is supported through the precise spike-timings of neurons; however, an understanding of the underlying processes by which such representations are formed in the first place remains unclear. Here we…

Neural and Evolutionary Computing · Computer Science 2015-12-01 Brian Gardner , Ioana Sporea , André Grüning

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2015-05-28 Gaurang Mahajan , Anita Mehta

The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional evolution of a collision-free plasma in a magnetic field.…

Analysis of PDEs · Mathematics 2024-10-14 Diego Alonso-Orán , Angel Durán , Rafael Granero-Belinchón

Short-term synaptic plasticity (STP) is often regarded as a presynaptic filter of spikes, independent of postsynaptic activity. Recent experiments, however, indicate an associative STP that depends on pre- and postsynaptic coactivation. We…

Neurons and Cognition · Quantitative Biology 2026-05-20 Genki Shimizu , Taro Toyoizumi

We study mechanisms for wavenumber selection in a minimal model for run-and-tumble dynamics. We show that nonlinearity in tumbling rates induces the existence of a plethora of traveling- and standing-wave patterns, as well as a subtle…

Pattern Formation and Solitons · Physics 2017-02-14 Arnd Scheel , Angela Stevens

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

Microswimmers can acquire information on the surrounding fluid by sensing mechanical queues. They can then navigate in response to these signals. We analyse this navigation by combining deep reinforcement learning with direct numerical…

Fluid Dynamics · Physics 2023-06-21 Krongtum Sankaewtong , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

Optical memory effects are well-known types of amplitude-domain wave correlation enabling control over light scattered through diffusive materials or multimode fibers. In this letter, we report the phenomenon of random polarization memory…

Optics · Physics 2025-09-09 Gauri Arora , Lyubov V. Amitonova

By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

Living neural networks in our brains autonomously self-organize into large, complex architectures during early development to result in an organized and functional organic computational device. A key mechanism that enables the formation of…

Neural and Evolutionary Computing · Computer Science 2020-06-15 Guruprasad Raghavan , Cong Lin , Matt Thomson

One aim shared by multiple settings, such as continual learning or transfer learning, is to leverage previously acquired knowledge to converge faster on the current task. Usually this is done through fine-tuning, where an implicit…

Machine Learning · Computer Science 2023-10-17 Tudor Berariu , Wojciech Czarnecki , Soham De , Jorg Bornschein , Samuel Smith , Razvan Pascanu , Claudia Clopath

Schemas are knowledge structures that can enable rapid learning. Rodent one-shot learning in a multiple paired association navigation task has been postulated to be schema-dependent. We still only poorly understand how schemas,…

Neural and Evolutionary Computing · Computer Science 2024-09-11 M Ganesh Kumar , Cheston Tan , Camilo Libedinsky , Shih-Cheng Yen , Andrew Yong-Yi Tan

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

With the fast and unstoppable evolution of robotics and artificial intelligence, effective autonomous navigation in real-world scenarios has become one of the most pressing challenges in the literature. However, demanding requirements, such…

Robotics · Computer Science 2024-07-11 A. Novo , F. Lobon , H. G. De Marina , S. Romero , F. Barranco
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