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Spin-torque nano-oscillators can emulate neurons at the nanoscale. Recent works show that the non-linearity of their oscillation amplitude can be leveraged to achieve waveform classification for an input signal encoded in the amplitude of…

Since the first recordings made of evoked action potentials it has become apparent that the responses of individual neurons to ongoing physiologically relevant input, are highly variable. This variability is manifested in non-stationary…

Neurons and Cognition · Quantitative Biology 2010-08-10 Avner Wallach , Danny Eytan , Asaf Gal , Christoph Zrenner , Ron Meir , Shimon Marom

We present an approach for reconstructing networks of pulse-coupled neuron-like oscillators from passive observation of pulse trains of all nodes. It is assumed that units are described by their phase response curves and that their phases…

Adaptation and Self-Organizing Systems · Physics 2017-07-19 Rok Cestnik , Michael Rosenblum

At the core of the Ouroboros Model lies a self-referential recursive process with alternating phases of data acquisition and evaluation. Memory entries are organized in schemata. Activation at a time of part of a schema biases the whole…

General Physics · Physics 2008-05-20 Knud Thomsen

The study of societies of adaptive agents seeking minority status is an active area of research. Recently, it has been demonstrated that such systems display an intriguing phase-transition: agents tend to {\it self-segregate} or to {\it…

Condensed Matter · Physics 2009-11-07 Ehud Nakar , Shahar Hod

The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if…

Neurons and Cognition · Quantitative Biology 2016-03-15 Kanaka Rajan , William Bialek

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely…

Adaptation and Self-Organizing Systems · Physics 2019-07-02 Rok Cestnik , Markus Abel

We introduce an adaptation algorithm by which an ensemble of coupled oscillators with attractive and repulsive interactions is induced to adopt a prescribed synchronized state. While the performance of adaptation is controlled by measuring…

Biological Physics · Physics 2009-11-13 Fernando Arizmendi , Damian H. Zanette

We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

The phase sensitivity curve or phase response curve (PRC) quantifies the oscillator's reaction to stimulation at a specific phase and is a primary characteristic of a self-sustained oscillatory unit. Knowledge of this curve yields a phase…

Adaptation and Self-Organizing Systems · Physics 2022-12-08 Rok Cestnik , Erik T. K. Mau , Michael Rosenblum

Oscillations represent a ubiquitous phenomenon in biological systems. The conventional models of biological periodic oscillations are usually proposed as interconnecting transcriptional feedback loops. Some specific proteins function as…

Pattern Formation and Solitons · Physics 2013-05-29 Yue Ma , Kenichi Yoshikawa

Sequential recommender infers users' evolving psychological motivations from historical interactions to recommend the next preferred items. Most existing methods compress recent behaviors into a single vector and optimize it toward a single…

Information Retrieval · Computer Science 2026-04-20 Yicheng Di , Yuan Liu , Zhi Chen , Jingcai Guo

We report experiment results on binary categorization of (i) gray color, (ii) speech sounds, and (iii) number discrimination. Data analysis is based on constructing psychometric functions and focusing on asymptotics. We discuss the…

Medical Physics · Physics 2019-10-11 Ihor Lubashevsky , Ian Wilson , Rio Suzuki , Yuki Kato

While many production-ready and robust algorithms are available for the task of recommendation systems, many of these systems do not take the order of user's consumption into account. The order of consumption can be very useful and matters…

Information Retrieval · Computer Science 2022-05-03 Mehdi Soleiman Nejad , Meysam Varasteh , Hadi Moradi , Mohammad Amin Sadeghi

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

The cooperative behaviour of interacting neurons and synapses is studied using models and methods from statistical physics. The competition between training error and entropy may lead to discontinuous properties of the neural network. This…

Disordered Systems and Neural Networks · Physics 2017-02-08 Wolfgang Kinzel

Presented with sensory challenges, living cells employ extensive noisy, fluctuating signalling and communication among themselves to compute a physiologically proper response which often results in symmetry breaking. We propose, based on…

Biological Physics · Physics 2022-06-17 Dean Korošak , Andraž Stožer , Marjan Slak Rupnik

Hysteresis is a ubiquitous phenomenon in science and engineering; its modeling and identification are crucial for understanding and optimizing the behavior of various systems. We develop an ordinary differential equation-based recurrent…

We present a computational and theoretical model of the neural mechanisms underlying human decision-making. We propose a detailed model of the interaction between brain regions, under a proposer-predictor-actor-critic framework.…

Neurons and Cognition · Quantitative Biology 2019-12-18 Seth Herd , Kai Krueger , Ananta Nair , Jessica Mollick , Randall OReilly

We present a theoretical application of an optimal experiment design (OED) methodology to the development of mathematical models to describe the stimulus-response relationship of sensory neurons. Although there are a few related studies in…

Neurons and Cognition · Quantitative Biology 2016-10-19 R. Ozgur Doruk , Kechen Zhang