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Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…

Neuroscientists have worked on the problem of estimating synaptic properties, such as connectivity and strength, from simultaneously recorded spike trains since the 1960s. Recent years have seen renewed interest in the problem, coinciding…

神经元与认知 · 定量生物学 2024-05-07 Zach Saccomano , Sam Mckenzie , Horacio Rotstein , Asohan Amarasingham

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

We introduce semi-parametric inducing point networks (SPIN), a general-purpose architecture that can query the training set at inference time in a compute-efficient manner. Semi-parametric architectures are typically more compact than…

机器学习 · 计算机科学 2023-03-31 Richa Rastogi , Yair Schiff , Alon Hacohen , Zhaozhi Li , Ian Lee , Yuntian Deng , Mert R. Sabuncu , Volodymyr Kuleshov

For using neural networks in safety critical domains, it is important to know if a decision made by a neural network is supported by prior similarities in training. We propose runtime neuron activation pattern monitoring - after the…

机器学习 · 计算机科学 2018-09-24 Chih-Hong Cheng , Georg Nührenberg , Hirotoshi Yasuoka

The firing dynamics of biological neurons in mathematical models is often determined by the model's parameters, representing the neurons' underlying properties. The parameter estimation problem seeks to recover those parameters of a single…

神经元与认知 · 定量生物学 2022-10-05 Long Le , Yao Li

In recent years, it has become common practice in neuroscience to use networks to summarize relational information in a set of measurements, typically assumed to be reflective of either functional or structural relationships between regions…

应用统计 · 统计学 2017-03-20 Cedric E. Ginestet , Jun Li , Prakash Balachandran , Steven Rosenberg , Eric D. Kolaczyk

Consider a compound Poisson process with jump measure $\nu$ supported by finitely many positive integers. We propose a method for estimating $\nu$ from a single, equidistantly sampled trajectory and develop associated statistical…

统计理论 · 数学 2009-09-29 Werner Ehm , Benjamin Staude , Stefan Rotter

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

神经元与认知 · 定量生物学 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Spiking neural networks (SNNs) exhibit superior energy efficiency but suffer from limited performance. In this paper, we consider SNNs as ensembles of temporal subnetworks that share architectures and weights, and highlight a crucial issue…

机器学习 · 计算机科学 2025-02-21 Yongqi Ding , Lin Zuo , Mengmeng Jing , Pei He , Hanpu Deng

We propose to study the problem of few-shot learning with the prism of inference on a partially observed graphical model, constructed from a collection of input images whose label can be either observed or not. By assimilating generic…

机器学习 · 统计学 2018-02-21 Victor Garcia , Joan Bruna

Sequences of neuronal activation have long been implicated in a variety of brain functions. In particular, these sequences have been tied to memory formation and spatial navigation in the hippocampus, a region of mammalian brains.…

神经元与认知 · 定量生物学 2016-03-10 Zachary Roth

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

最优化与控制 · 数学 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Understanding the basic operational logics of the nervous system is essential to advancing neuroscientific research. However, theoretical efforts to tackle this fundamental problem are lacking, despite the abundant empirical data about the…

神经元与认知 · 定量生物学 2021-09-07 Cheng Qian

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

神经与进化计算 · 计算机科学 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

Multielectrode arrays allow recording of the activity of many single neurons, from which correlations can be calculated. The functional roles of correlations can be revealed by the measures of the information conveyed by neuronal activity;…

统计力学 · 物理学 2009-09-25 Michele Bezzi , Mathew E. Diamond , Alessandro Treves

The continuous integration of experimental data into coherent models of the brain is an increasing challenge of modern neuroscience. Such models provide a bridge between structure and activity, and identify the mechanisms giving rise to…

神经元与认知 · 定量生物学 2017-03-03 Jannis Schuecker , Maximilian Schmidt , Sacha J. van Albada , Markus Diesmann , Moritz Helias

For three decades statistical mechanics has been providing a framework to analyse neural networks. However, the theoretically tractable models, e.g., perceptrons, random features models and kernel machines, or multi-index models and…

机器学习 · 统计学 2025-06-02 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk

Universal quantum computers promise a dramatic speed-up over classical computers but a full-size realization remains challenging. However, intermediate quantum computational models have been proposed that are not universal, but can solve…

We introduce a new supervised learning algorithm based to train spiking neural networks for classification. The algorithm overcomes a limitation of existing multi-spike learning methods: it solves the problem of interference between…

神经与进化计算 · 计算机科学 2021-08-12 Huy Le Nguyen , Dominique Chu