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This paper explores the impact of biologically plausible neuron models on the performance of Spiking Neural Networks (SNNs) for regression tasks. While SNNs are widely recognized for classification tasks, their application to Scientific…

Numerical Analysis · Mathematics 2024-01-02 Mario De Florio , Adar Kahana , George Em Karniadakis

Partial Bayesian neural networks (pBNNs) have been shown to perform competitively with fully Bayesian neural networks while only having a subset of the parameters be stochastic. Using sequential Monte Carlo (SMC) samplers as the inference…

Machine Learning · Computer Science 2026-01-30 Andrew Millard , Joshua Murphy , Simon Maskell , Zheng Zhao

Over the past decade Spiking Neural Networks (SNN) have emerged as one of the popular architectures to emulate the brain. In SNN, information is temporally encoded and communication between neurons is accomplished by means of spikes. In…

Emerging Technologies · Computer Science 2016-12-14 Abhronil Sengupta , Aparajita Banerjee , Kaushik Roy

Learning expressive kernels while retaining tractable inference remains a central challenge in scaling Gaussian processes (GPs) to large and complex datasets. We propose a scalable GP regressor based on deep basis kernels (DBKs). Our DBK is…

Machine Learning · Statistics 2026-02-05 Yunqin Zhu , Henry Shaowu Yuchi , Yao Xie

How spiking networks are able to perform probabilistic inference is an intriguing question, not only for understanding information processing in the brain, but also for transferring these computational principles to neuromorphic silicon…

Neurons and Cognition · Quantitative Biology 2017-07-12 Mihai A. Petrovici , Anna Schroeder , Oliver Breitwieser , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

One conjecture in both deep learning and classical connectionist viewpoint is that the biological brain implements certain kinds of deep networks as its back-end. However, to our knowledge, a detailed correspondence has not yet been set up,…

Artificial Intelligence · Computer Science 2013-01-29 Louis Yuanlong Shao

Restricted Boltzmann Machines are a class of undirected graphical models that play a key role in deep learning and unsupervised learning. In this study, we prove a phase transition phenomenon in the mixing time of the Gibbs sampler for a…

Machine Learning · Computer Science 2024-10-14 Youngwoo Kwon , Qian Qin , Guanyang Wang , Yuchen Wei

Markov Chain Monte Carlo (MCMC) methods are a popular technique in Bayesian statistical modeling. They have long been used to obtain samples from posterior distributions, but recent research has focused on the scalability of these…

Methodology · Statistics 2016-02-02 Nicholas A. Johnson , Frank O. Kuehnel , Ali Nasiri Amini

We study the convergence properties of the Gibbs Sampler in the context of posterior distributions arising from Bayesian analysis of conditionally Gaussian hierarchical models. We develop a multigrid approach to derive analytic expressions…

Computation · Statistics 2019-06-27 Giacomo Zanella , Gareth Roberts

Humans and other animals behave as if we perform fast Bayesian inference underlying decisions and movement control given uncertain sense data. Here we show that a biophysically realistic model of the subthreshold membrane potential of a…

Neurons and Cognition · Quantitative Biology 2014-06-20 Michael G. Paulin , Andre van Schaik

In general, the statistical simulation approaches are referred to as the Monte Carlo methods as a whole. The broad class of the Monte Carlo methods involves the Markov chain Monte Carlo (MCMC) techniques that attract the attention of…

Computation · Statistics 2025-06-10 Mahdi Teimouri

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according to the identity of the neurons that generated them. Existing techniques perform this classification ignoring several properties of actual neurons…

Quantitative Methods · Quantitative Biology 2007-05-23 Christophe Pouzat

The spiking neural network (SNN) using leaky-integrated-and-fire (LIF) neurons has been commonly used in automatic speech recognition (ASR) tasks. However, the LIF neuron is still relatively simple compared to that in the biological brain.…

Neural and Evolutionary Computing · Computer Science 2023-02-03 Minglun Han , Qingyu Wang , Tielin Zhang , Yi Wang , Duzhen Zhang , Bo Xu

Practitioners apply neural networks to increasingly complex problems in natural language processing, such as syntactic parsing and semantic role labeling that have rich output structures. Many such structured-prediction problems require…

Computation and Language · Computer Science 2019-04-23 Jay Yoon Lee , Sanket Vaibhav Mehta , Michael Wick , Jean-Baptiste Tristan , Jaime Carbonell

Ising machines are a promising non-von-Neumann computational concept for neural network training and combinatorial optimization. However, while various neural networks can be implemented with Ising machines, their inability to perform fast…

Applied Physics · Physics 2022-10-05 Fabian Böhm , Diego Alonso-Urquijo , Guy Verschaffelt , Guy Van der Sande

We propose reinforcement learning on simple networks consisting of random connections of spiking neurons (both recurrent and feed-forward) that can learn complex tasks with very little trainable parameters. Such sparse and randomly…

Machine Learning · Computer Science 2019-06-06 Wachirawit Ponghiran , Gopalakrishnan Srinivasan , Kaushik Roy

Graph Convolutional Networks (GCNs) achieve an impressive performance due to the remarkable representation ability in learning the graph information. However, GCNs, when implemented on a deep network, require expensive computation power,…

Machine Learning · Computer Science 2022-08-03 Zulun Zhu , Jiaying Peng , Jintang Li , Liang Chen , Qi Yu , Siqiang Luo

Synergies between wireless communications and artificial intelligence are increasingly motivating research at the intersection of the two fields. On the one hand, the presence of more and more wirelessly connected devices, each with its own…

Neural and Evolutionary Computing · Computer Science 2020-12-10 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

Magnetic Random-Access Memory (MRAM) based p-bit neuromorphic computing devices are garnering increasing interest as a means to compactly and efficiently realize machine learning operations in Restricted Boltzmann Machines (RBMs). When…

Emerging Technologies · Computer Science 2020-02-04 Paul Wood , Hossein Pourmeidani , Ronald F. DeMara
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