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In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

Neurons and Cognition · Quantitative Biology 2026-05-01 Terrence J. Sejnowski

Neural networks are able to extract information from the timing of spikes. Here we provide new results on the behavior of the simplest neuronal model which is able to decode information embedded in temporal spike patterns, the so called…

Disordered Systems and Neural Networks · Physics 2015-06-17 Carlo Baldassi , Alfredo Braunstein , Riccardo Zecchina

Recently, the use of bio-inspired learning techniques such as Hebbian learning and its closely-related Spike-Timing-Dependent Plasticity (STDP) variant have drawn significant attention for the design of compute-efficient AI systems that can…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Ali Safa

A new approach to maximum likelihood learning of discrete graphical models and RBM in particular is introduced. Our method, Perturb and Descend (PD) is inspired by two ideas (I) perturb and MAP method for sampling (II) learning by…

Neural and Evolutionary Computing · Computer Science 2014-05-08 Siamak Ravanbakhsh , Russell Greiner , Brendan Frey

The brain can learn to solve a wide range of tasks with high temporal and energetic efficiency. However, most biological models are composed of simple single compartment neurons and cannot achieve the state-of-art performances of artificial…

Neurons and Cognition · Quantitative Biology 2026-04-13 Cristiano Capone , Cosimo Lupo , Paolo Muratore , Pier Stanislao Paolucci

Modern learning systems increasingly interact with data that evolve over time and depend on hidden internal state. We ask a basic question: when is such a dynamical system learnable from observations alone? This paper proposes a research…

Machine Learning · Computer Science 2025-12-23 Elad Hazan , Shai Shalev Shwartz , Nathan Srebro

Building spiking neural networks (SNNs) based on biological synaptic plasticities holds a promising potential for accomplishing fast and energy-efficient computing, which is beneficial to mobile robotic applications. However, the…

Neural and Evolutionary Computing · Computer Science 2020-03-11 Zhenshan Bing , Claus Meschede , Guang Chen , Alois Knoll , Kai Huang

Identifying the dynamical state variables of a system from high-dimensional observations is a central problem across physical sciences. The challenge is that the state variables are not directly observable and must be inferred from raw…

Data Analysis, Statistics and Probability · Physics 2026-04-28 K. Michael Martini , Eslam Abdelaleem , Paarth Gulati , Ilya Nemenman

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

Machine Learning · Statistics 2024-12-17 Jiahe Lin , George Michailidis

A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling…

Statistical Mechanics · Physics 2016-10-18 Giacomo Torlai , Roger G. Melko

Modeling and predicting temporal point processes (TPPs) is critical in domains such as neuroscience, epidemiology, finance, and social sciences. We introduce the Spiking Dynamic Graph Network (SDGN), a novel framework that leverages the…

Machine Learning · Computer Science 2025-04-03 Biswadeep Chakraborty , Hemant Kumawat , Beomseok Kang , Saibal Mukhopadhyay

We extend the framework of Boltzmann machines to a network of complex-valued neurons with variable amplitudes, referred to as Complex Amplitude-Phase Boltzmann machine (CAP-BM). The model is capable of performing unsupervised learning on…

Machine Learning · Statistics 2020-05-06 Zengyi Li , Friedrich T. Sommer

Spiking Neural Networks (SNNs) are biologically plausible models that have been identified as potentially apt for deploying energy-efficient intelligence at the edge, particularly for sequential learning tasks. However, training of SNNs…

Neural and Evolutionary Computing · Computer Science 2025-01-09 Marco Paul E. Apolinario , Kaushik Roy

Investigating the dynamics of learning in machine learning algorithms is of paramount importance for understanding how and why an approach may be successful. The tools of physics and statistics provide a robust setting for such…

High Energy Physics - Lattice · Physics 2024-12-31 Chanju Park , Matteo Favoni , Biagio Lucini , Gert Aarts

Spiking neural networks, the third generation of artificial neural networks, have become an important family of neuron-based models that sidestep many of the key limitations facing modern-day backpropagation-trained deep networks, including…

Neural and Evolutionary Computing · Computer Science 2024-09-18 Cory Merkel , Alexander Ororbia

The Double Linear Policy (DLP) framework guarantees a Robust Positive Expectation (RPE) under optimized constant-weight designs or admissible prespecified time-varying policies. However, the sequential optimization of these time-varying…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Tan Chin Hong , Chung-Han Hsieh

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

Restricted Boltzmann Machine (RBM) is a generative stochastic energy-based model of artificial neural network for unsupervised learning. Recently, RBM is well known to be a pre-training method of Deep Learning. In addition to visible and…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

We present an efficient classical algorithm for training deep Boltzmann machines (DBMs) that uses rejection sampling in concert with variational approximations to estimate the gradients of the training objective function. Our algorithm is…

Machine Learning · Computer Science 2015-07-10 Nathan Wiebe , Ashish Kapoor , Christopher Granade , Krysta M Svore

This study challenges strictly guaranteeing ``dissipativity'' of a dynamical system represented by neural networks learned from given time-series data. Dissipativity is a crucial indicator for dynamical systems that generalizes stability…

Machine Learning · Computer Science 2024-12-20 Yuji Okamoto , Ryosuke Kojima