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A limitation of many clustering algorithms is the requirement to tune adjustable parameters for each application or even for each dataset. Some techniques require an \emph{a priori} estimate of the number of clusters while density-based…

Methodology · Statistics 2016-05-20 Jeremy F. Magland , Alex H. Barnett

One step in the conventional analysis of extracellularly recorded neuronal data is spike sorting, which separates electrical signal into action potentials from different neurons. Because spike sorting involves human judgment, it can be…

Neurons and Cognition · Quantitative Biology 2007-05-23 Artur Luczak , Nandakumar S. Narayanan

Spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Igor Franovic , Kristina Todorovic , Nebojsa Vasovic , Nikola Buric

The excitability property of spiking neurons describes their capability to output an action potential as a real-time response to an input synaptic excitation current and is central to the event-based neuromorphic computing paradigm. The…

Statistical Mechanics · Physics 2025-11-18 Léopold Van Brandt , Grégoire Brandsteert , Denis Flandre

Understanding cognitive processes in the brain demands sophisticated models capable of replicating neural dynamics at large scales. We present a physiologically inspired speech recognition architecture, compatible and scalable with deep…

Computation and Language · Computer Science 2024-09-26 Alexandre Bittar , Philip N. Garner

Background: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often interested in how mass spectra differ between patients of…

Recently, growing health awareness, novel methods allow individuals to monitor sleep at home. Utilizing sleep sounds offers advantages over conventional methods like smartwatches, being non-intrusive, and capable of detecting various…

Machine Learning · Computer Science 2024-10-18 Shintaro Tamai , Masayuki Numao , Ken-ichi Fukui

The seminal paper by Mazumdar and Saha \cite{MS17a} introduced an extensive line of work on clustering with noisy queries. Yet, despite significant progress on the problem, the proposed methods depend crucially on knowing the exact…

Machine Learning · Computer Science 2022-07-22 Alberto Del Pia , Mingchen Ma , Christos Tzamos

Understanding how neurons coordinate their activity is a fundamental question in neuroscience, with implications for learning, memory, and neurological disorders. Calcium imaging has emerged as a powerful method to observe large-scale…

Methodology · Statistics 2026-03-03 Laura D'Angelo , Francesco Denti , Antonio Canale , Michele Guindani

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

Machine Learning · Statistics 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

Deep brain stimulation (DBS) is a neurosurgical procedure successfully used to treat conditions such as Parkinson's disease. Electrostimulation, carried out by implanting electrodes into an identified focus in the brain, makes it possible…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Arkadiusz Nowacki , Ewelina Kołpa , Mateusz Szychiewicz , Konrad Ciecierski

In real world scenarios, objects are often partially occluded. This requires a robustness for object recognition against these perturbations. Convolutional networks have shown good performances in classification tasks. The learned…

Machine Learning · Computer Science 2019-12-09 René Larisch , Michael Teichmann , Fred H. Hamker

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

Applications · Statistics 2011-04-15 Mengxin Li , Wei-Liem Loh

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

There has been a strong push recently to examine biological scale simulations of neuromorphic algorithms to achieve stronger inference capabilities. This paper presents a set of piecewise linear spiking neuron models, which can reproduce…

Machine Learning · Computer Science 2012-12-18 Hamid Soleimani , Arash Ahmadi , Mohammad Bavandpour

A spiking neuron ``computes'' by transforming a complex dynamical input into a train of action potentials, or spikes. The computation performed by the neuron can be formulated as dimensional reduction, or feature detection, followed by a…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne L. Fairhall , William Bialek

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

Biological Physics · Physics 2009-11-13 Murray Shanahan

We propose a spectral clustering algorithm for analyzing the dependence structure of multivariate extremes. More specifically, we focus on the asymptotic dependence of multivariate extremes characterized by the angular or spectral measure…

Machine Learning · Statistics 2023-08-02 Marco Avella Medina , Richard A. Davis , Gennady Samorodnitsky

Technological advancements have enabled the recording of spiking activities from large neuron ensembles, presenting an exciting yet challenging opportunity for statistical analysis. This project considers the challenges from a common type…

Applications · Statistics 2024-04-05 Zitong Zhang , Shizhe Chen

The main result of this thesis is the development of a novel connectivity estimation method, called Total Spiking Probability Edges (TSPE). Based on cross-correlation and edge filtering at different time scales this method is proposed and…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Stefano De Blasi