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Many smart grid applications involve data mining, clustering, classification, identification, and anomaly detection, among others. These applications primarily depend on the measurement of similarity, which is the distance between different…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Rui Yuan , Hossein Ranjbar , S. Ali Pourmousavi , Wen L. Soong , Andrew J. Black , Jon A. R. Liisberg , Julian Lemos-Vinasco

The previous decade has brought a remarkable increase of the interest in applications that deal with querying and mining of time series data. Many of the research efforts in this context have focused on introducing new representation…

Artificial Intelligence · Computer Science 2015-03-17 Xiaoyue Wang , Hui Ding , Goce Trajcevski , Peter Scheuermann , Eamonn Keogh

Over the last decade several positive definite kernels have been proposed to treat spike trains as objects in Hilbert space. However, for the most part, such attempts still remain a mere curiosity for both computational neuroscientists and…

Neurons and Cognition · Quantitative Biology 2013-10-16 Il Memming Park , Sohan Seth , Antonio R. C. Paiva , Lin Li , Jose C. Principe

We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. We review large deviations techniques useful…

Neurons and Cognition · Quantitative Biology 2018-08-15 Rodrigo Cofre , Cesar Maldonado , Fernando Rosas

Finding a basis/coordinate system that can efficiently represent an input data stream by viewing them as realizations of a stochastic process is of tremendous importance in many fields including data compression and computational…

Numerical Analysis · Mathematics 2025-10-20 Bertrand Benichou , Naoki Saito

Timetable construction belongs to the most important optimization problems in public transport. Finding optimal or near-optimal timetables under the subsidiary conditions of minimizing travel times and other criteria is a targeted…

Data Structures and Algorithms · Computer Science 2010-11-03 Christoph Fretter , Lachezar Krumov , Karsten Weihe , Matthias Müller-Hannemann , Marc-Thorsten Hütt

In this paper, we reviewed Spiking neural network (SNN) integrated circuit designs and analyzed the trends among mixed-signal cores, fully digital cores and large-scale, multi-core designs. Recently reported SNN integrated circuits are…

Neural and Evolutionary Computing · Computer Science 2022-03-15 Arindam Basu , Charlotte Frenkel , Lei Deng , Xueyong Zhang

Spike sorting is a crucial step in decoding multichannel extracellular neural signals, enabling the identification of individual neuronal activity. A key challenge in brain-machine interfaces (BMIs) is achieving real-time, low-power spike…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Alexis Melot , Sean U. N. Wood , Yannick Coffinier , Pierre Yger , Fabien Alibart

We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized is a parameter. This allows one to…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Marro , J. J. Torres , J. M. Cortes , B. Wemmenhove

We introduce circulance, a scalar measure for classifying time series of dynamical systems. Circulance captures the extent of temporal regularity or irregularity that is encoded in the topology of a directed ordinal pattern transition…

Chaotic Dynamics · Physics 2026-01-05 Max Potratzki , Manuel Adams , Timo Bröhl , Klaus Lehnertz

Repeated occurrences of serial firing sequences of a group of neurons with fixed time delays between neurons are observed in many experiments involving simultaneous recordings from multiple neurons. Such temporal patterns are potentially…

Neurons and Cognition · Quantitative Biology 2008-09-01 C. O. Diekman , P. S. Sastry , K. P. Unnikrishnan

Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning of individual units may be important, there has…

Machine Learning · Computer Science 2023-11-17 Meenakshi Khosla , Alex H. Williams

In wave propagation theories, many problems of multi-sensor systems utilize time delay in their solution in signal processing. This technique finds great utility in seismic exploration and static correction (low-velocity weathering), which…

Computational Physics · Physics 2018-01-25 Ashraf H. Yahia , El-Sayed El-Dahshan , Albert K. Guirguis

Spike patterns have been reported to encode sensory information in several brain areas. Here we assess the role of specific patterns in the neural code, by comparing the amount of information transmitted with different choices of the…

Quantitative Methods · Quantitative Biology 2009-12-14 Hugo Gabriel Eyherabide , Ines Samengo

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

Algorithms for decentralized optimization and learning rely on local optimization steps coupled with combination steps over a graph. Recent works have demonstrated that using a time-varying sequence of matrices that achieves finite-time…

Optimization and Control · Mathematics 2026-02-17 Aaron Fainman , Stefan Vlaski

Emerging technologies are revealing the spiking activity in ever larger neural ensembles. Frequently, this spiking is far from independent, with correlations in the spike times of different cells. Understanding how such correlations impact…

Neurons and Cognition · Quantitative Biology 2013-05-20 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

A central task in the analysis of human movement behavior is to determine systematic patterns and differences across experimental conditions, participants and repetitions. This is possible because human movement is highly regular, being…

Applications · Statistics 2023-01-23 Lars Lau Raket , Britta Grimme , Gregor Schöner , Christian Igel , Bo Markussen

This paper contributes multivariate versions of seven commonly used elastic similarity and distance measures for time series data analytics. Elastic similarity and distance measures are a class of similarity measures that can compensate for…

Machine Learning · Computer Science 2023-01-18 Ahmed Shifaz , Charlotte Pelletier , Francois Petitjean , Geoffrey I. Webb

Spiking Neural Networks (SNNs) have recently become more popular as a biologically plausible substitute for traditional Artificial Neural Networks (ANNs). SNNs are cost-efficient and deployment-friendly because they process input in both…

Neural and Evolutionary Computing · Computer Science 2023-10-03 Yuhang Li , Tamar Geller , Youngeun Kim , Priyadarshini Panda