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Quantifying uncertainty in detected changepoints is an important problem. However it is challenging as the naive approach would use the data twice, first to detect the changes, and then to test them. This will bias the test, and can lead to…

Methodology · Statistics 2026-05-11 Rachel Carrington , Paul Fearnhead

Spiking Neural Networks (SNNs) are highly energy-efficient due to event-driven, sparse computation, but their training is challenged by spike non-differentiability and trade-offs among performance, efficiency, and biological plausibility.…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Zihan Huang , Zijie Xu , Yihan Huang , Shanshan Jia , Tong Bu , Yiting Dong , Wenxuan Liu , Jianhao Ding , Zhaofei Yu , Tiejun Huang

Many statistical models are given in the form of non-normalized densities with an intractable normalization constant. Since maximum likelihood estimation is computationally intensive for these models, several estimation methods have been…

Statistics Theory · Mathematics 2021-09-01 Takeru Matsuda , Masatoshi Uehara , Aapo Hyvarinen

Recent studies have suggested that the cognitive process of the human brain is realized as probabilistic inference and can be further modeled by probabilistic graphical models like Markov random fields. Nevertheless, it remains unclear how…

Neurons and Cognition · Quantitative Biology 2020-03-13 Yajing Zheng , Shanshan Jia , Zhaofei Yu , Tiejun Huang , Jian K. Liu , Yonghong Tian

Cortical neurons include many sub-cellular processes, operating at multiple timescales, which may affect their response to stimulation through non-linear and stochastic interaction with ion channels and ionic concentrations. Since new…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

In a spiking neural network, is it enough for each neuron to spike at most once? In recent work, approximation bounds for spiking neural networks have been derived, quantifying how well they can fit target functions. However, these results…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Dominik Dold , Philipp Christian Petersen

We present an algorithm to identify individual neural spikes observed on high-density multi-electrode arrays (MEAs). Our method can distinguish large numbers of distinct neural units, even when spikes overlap, and accounts for intrinsic…

Neurons and Cognition · Quantitative Biology 2013-08-01 Jason S. Prentice , Jan Homann , Kristina D. Simmons , Gašper Tkačik , Vijay Balasubramanian , Philip C. Nelson

Approaches to predicting neuronal spike responses commonly use a Poisson learning objective. This objective quantizes responses into spike counts within a fixed summation interval, typically on the order of 10 to 100 milliseconds in…

Neurons and Cognition · Quantitative Biology 2024-07-03 Kevin Doran , Marvin Seifert , Carola A. M. Yovanovich , Tom Baden

Spiking activity in cortical networks is nonlinear in nature. The linear-nonlinear cascade model, some versions of which are also known as point-process generalized linear model, can efficiently capture the nonlinear dynamics exhibited by…

Neurons and Cognition · Quantitative Biology 2020-01-16 Michael Kordovan , Stefan Rotter

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…

Neurons and Cognition · Quantitative Biology 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

Learning a medical image segmentation model is an inherently ambiguous task, as uncertainties exist in both images (noise) and manual annotations (human errors and bias) used for model training. To build a trustworthy image segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-08-17 Xinyu Bai , Wenjia Bai

While classical neural networks take a position of a leading method in the machine learning community, spiking neuromorphic systems bring attention and large projects in neuroscience. Spiking neural networks were shown to be able to…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Sergei Dytckov , Masoud Daneshtalab

When the data do not conform to the hypothesis of a known sampling-variance, the fitting of a constant to a set of measured values is a long debated problem. Given the data, fitting would require to find what measurand value is the most…

Data Analysis, Statistics and Probability · Physics 2020-07-21 Giovanni Mana , Enrico Massa , Maria Predescu

Inferring the biophysical parameters of conductance-based models (CBMs) from experimentally accessible recordings remains a central challenge in computational neuroscience. Spike times are the most widely available data, yet they reveal…

Neurons and Cognition · Quantitative Biology 2026-05-26 Julien Brandoit , Damien Ernst , Guillaume Drion , Arthur Fyon

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…

Neurons and Cognition · Quantitative Biology 2024-05-07 Zach Saccomano , Sam Mckenzie , Horacio Rotstein , Asohan Amarasingham

This paper aims to test the number of spikes in a generalized spiked covariance matrix, the spiked eigenvalues of which may be extremely larger or smaller than the non-spiked ones. For a high-dimensional problem, we first propose a general…

Methodology · Statistics 2022-03-15 Dandan Jiang

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

Applications · Statistics 2019-03-21 Pietro Verzelli , Laura Sacerdote

This article contains two main theoretical results on neural spike train models. The first assumes that the spike train is modeled as a counting or point process on the real line where the conditional intensity function is a product of a…

Statistics Theory · Mathematics 2007-06-13 Hock Peng Chan , Wei-Liem Loh

Spiking neural networks coupled with neuromorphic hardware and event-based sensors are getting increased interest for low-latency and low-power inference at the edge. However, multiple spiking neuron models have been proposed in the…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Mohamed Sadek Bouanane , Dalila Cherifi , Elisabetta Chicca , Lyes Khacef

In this article, we study optimal control problems of spiking neurons whose dynamics are described by a phase model. We design minimum-power current stimuli (controls) that lead to targeted spiking times of neurons, where the cases with…

Dynamical Systems · Mathematics 2010-11-18 Isuru Dasanayake , Jr-Shin Li