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Inferring synaptic connectivity from neural population activity is a fundamental challenge in computational neuroscience, complicated by partial observability and mismatches between inference models and true circuit dynamics. In this study,…

神经元与认知 · 定量生物学 2025-10-28 Kijung Yoon

Maintaining stable internal representations of continuous variables is fundamental for effective robotic control. Continuous attractor networks provide a biologically inspired mechanism for encoding such variables, yet neuromorphic…

In this comment on "Solving Statistical Mechanics Using Variational Autoregressive Networks" by Wu et al., we propose a subtle yet powerful modification of their approach. We show that the inherent sampling error of their method can be…

It has become increasingly easy nowadays to collect approximate posterior samples via fast algorithms such as variational Bayes, but concerns exist about the estimation accuracy. It is tempting to build solutions that exploit approximate…

统计计算 · 统计学 2024-06-17 Leo L. Duan , Anirban Bhattacharya

Markov chain Monte Carlo (MCMC) methods have not been broadly adopted in Bayesian neural networks (BNNs). This paper initially reviews the main challenges in sampling from the parameter posterior of a neural network via MCMC. Such…

机器学习 · 统计学 2021-10-05 Theodore Papamarkou , Jacob Hinkle , M. Todd Young , David Womble

We introduce the Hamming Ball Sampler, a novel Markov Chain Monte Carlo algorithm, for efficient inference in statistical models involving high-dimensional discrete state spaces. The sampling scheme uses an auxiliary variable construction…

统计方法学 · 统计学 2015-05-05 Michalis K. Titsias , Christopher Yau

Cortical circuits exhibit intricate recurrent architectures that are remarkably similar across different brain areas. Such stereotyped structure suggests the existence of common computational principles. However, such principles have…

神经元与认知 · 定量生物学 2018-01-04 Rui Ponte Costa , Yannis M. Assael , Brendan Shillingford , Nando de Freitas , Tim P. Vogels

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

社会与信息网络 · 计算机科学 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

We demonstrate the efficacy of a new spike-sorting method based on a Markov Chain Monte Carlo (MCMC) algorithm by applying it to real data recorded from Purkinje cells (PCs) in young rat cerebellar slices. This algorithm is unique in its…

定量方法 · 定量生物学 2011-11-10 Matthieu Delescluse , Christophe Pouzat

Gating mechanisms are widely used in neural network models, where they allow gradients to backpropagate more easily through depth or time. However, their saturation property introduces problems of its own. For example, in recurrent models…

神经与进化计算 · 计算机科学 2020-06-22 Albert Gu , Caglar Gulcehre , Tom Le Paine , Matt Hoffman , Razvan Pascanu

Generative models based on neural networks present a substantial challenge within deep learning. As it stands, such models are primarily limited to the domain of artificial neural networks. Spiking neural networks, as the third generation…

神经与进化计算 · 计算机科学 2023-05-22 Linghao Feng , Dongcheng Zhao , Yi Zeng

In this work, minibatch MCMC sampling for feedforward neural networks is made more feasible. To this end, it is proposed to sample subgroups of parameters via a blocked Gibbs sampling scheme. By partitioning the parameter space, sampling is…

机器学习 · 统计学 2023-07-25 Theodore Papamarkou

Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

计算物理 · 物理学 2026-02-16 Michael Kim , Wei Cai

Stochastic neural networks such as Restricted Boltzmann Machines (RBMs) have been successfully used in applications ranging from speech recognition to image classification. Inference and learning in these algorithms use a Markov Chain Monte…

Recent studies have shown that synaptic unreliability is a robust and sufficient mechanism for inducing the stochasticity observed in cortex. Here, we introduce Synaptic Sampling Machines, a class of neural network models that uses synaptic…

神经与进化计算 · 计算机科学 2016-12-16 Emre O. Neftci , Bruno U. Pedroni , Siddharth Joshi , Maruan Al-Shedivat , Gert Cauwenberghs

Markov Chain Monte Carlo (MCMC) is a powerful method for drawing samples from non-standard probability distributions and is utilized across many fields and disciplines. Methods such as Metropolis-Adjusted Langevin (MALA) and Hamiltonian…

统计计算 · 统计学 2024-10-28 Lee Devlin , Paul Horridge , Peter L. Green , Simon Maskell

A main concern in cognitive neuroscience is to decode the overt neural spike train observations and infer latent representations under neural circuits. However, traditional methods entail strong prior on network structure and hardly meet…

神经元与认知 · 定量生物学 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

We study Markov Chain Monte Carlo (MCMC) methods operating in primary sample space and their interactions with multiple sampling techniques. We observe that incorporating the sampling technique into the state of the Markov Chain, as done in…

图形学 · 计算机科学 2017-04-25 Benedikt Bitterli , Wenzel Jakob , Jan Novák , Wojciech Jarosz

Gibbs sampling is one of the most commonly used Markov Chain Monte Carlo (MCMC) algorithms due to its simplicity and efficiency. It cycles through the latent variables, sampling each one from its distribution conditional on the current…

机器学习 · 计算机科学 2024-08-26 Yanbo Wang , Wenyu Chen , Shimin Shan

We present a method of estimating the gradient of an objective function with respect to the synaptic weights of a spiking neural network. The method works by measuring the fluctuations in the objective function in response to dynamic…

神经元与认知 · 定量生物学 2007-05-23 Ila R. Fiete , H. Sebastian Seung