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Traffic forecasting is a complex multivariate time-series regression task of paramount importance for traffic management and planning. However, existing approaches often struggle to model complex multi-range dependencies using local…

Machine Learning · Computer Science 2023-11-07 Dongcheng Zou , Senzhang Wang , Xuefeng Li , Hao Peng , Yuandong Wang , Chunyang Liu , Kehua Sheng , Bo Zhang

Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically unlimited complexity. Recent empirical studies, however,…

Neurons and Cognition · Quantitative Biology 2012-02-02 Andrea K. Barreiro , Julijana Gjorgjieva , Fred Rieke , Eric Shea-Brown

We study the computational capacity of a model neuron, the Tempotron, which classifies sequences of spikes by linear-threshold operations. We use statistical mechanics and extreme value theory to derive the capacity of the system in random…

Neurons and Cognition · Quantitative Biology 2010-11-30 Ran Rubin , Remi Monasson , Haim Sompolinsky

Artificial Neural Networks were recently shown to be an efficient representation of highly-entangled many-body quantum states. In practical applications, neural-network states inherit numerical schemes used in Variational Monte Carlo, most…

Disordered Systems and Neural Networks · Physics 2020-01-22 Or Sharir , Yoav Levine , Noam Wies , Giuseppe Carleo , Amnon Shashua

Inspired by the operation of biological brains, Spiking Neural Networks (SNNs) have the unique ability to detect information encoded in spatio-temporal patterns of spiking signals. Examples of data types requiring spatio-temporal processing…

Neural and Evolutionary Computing · Computer Science 2021-04-27 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

The field of complex networks studies a wide variety of interacting systems by representing them as networks. To understand their properties and mutual relations, the randomisation of network connections is a commonly used tool. However,…

Statistical Mechanics · Physics 2024-10-18 Noam Abadi , Franco Ruzzenenti

Quantification of information content and its temporal variation in intracellular calcium spike trains in neurons helps one understand functions such as memory, learning, and cognition. Such quantification could also reveal pathological…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Sathish Ande , Srinivas Avasarala , Jayanth R Regatti , Neha Pandey , Sarpras Swain , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

With the end of Moore's law and Dennard scaling, efficient training increasingly requires rethinking data volume. Can we train better models with significantly less data via intelligent subsampling? To explore this, we develop SICKLE, a…

The models in statistical physics such as an Ising model offer a convenient way to characterize stationary activity of neural populations. Such stationary activity of neurons may be expected for recordings from in vitro slices or…

Neurons and Cognition · Quantitative Biology 2017-05-05 Christian Donner , Klaus Obermayer , Hideaki Shimazaki

In this article the problem of reconstructing the pattern of connection between agents from partial empirical data in a macro-economic model is addressed, given a set of behavioral equations. This systemic point of view puts the focus on…

General Economics · Economics 2019-01-30 Aurélien Hazan

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

The nervous system represents time-dependent signals in sequences of discrete action potentials or spikes, all spikes are identical so that information is carried only in the spike arrival times. We show how to quantify this information, in…

Condensed Matter · Physics 2008-02-03 S. P. Strong , Roland Koberle , Rob R. de Ruyter van Steveninck , William Bialek

The mutual information between stimulus and spike-train response is commonly used to monitor neural coding efficiency, but neuronal computation broadly conceived requires more refined and targeted information measures of input-output joint…

Neurons and Cognition · Quantitative Biology 2015-04-21 Sarah E. Marzen , Michael R. DeWeese , James P. Crutchfield

Network control theory (NCT) has recently been utilized in neuroscience to facilitate our understanding of brain stimulation effects. A particularly useful branch of NCT is optimal control, which focuses on applying theoretical and…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kangli Dong , Siya Chen , Ying Dan , Lu Zhang , Xinyi Li , Wei Liang , Yue Zhao , Yu Sun

Compared with artificial neural networks (ANNs), spiking neural networks (SNNs) are promising to explore the brain-like behaviors since the spikes could encode more spatio-temporal information. Although pre-training from ANN or direct…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Yujie Wu , Lei Deng , Guoqi Li , Jun Zhu , Luping Shi

The ability to predict future events or patterns based on previous experience is crucial for many applications such as traffic control, weather forecasting, or supply chain management. While modern supervised Machine Learning approaches…

Neurons and Cognition · Quantitative Biology 2024-10-16 Florian Feiler , Emre Neftci , Younes Bouhadjar

Observations of finely-timed spike relationships in population recordings have been used to support partial reconstruction of neural microcircuit diagrams. In this approach, fine-timescale components of paired spike train interactions are…

Neurons and Cognition · Quantitative Biology 2021-02-15 Jonathan Platkiewicz , Zachary Saccomano , Sam McKenzie , Daniel English , Asohan Amarasingham

The standard approach to fitting an autoregressive spike train model is to maximize the likelihood for one-step prediction. This maximum likelihood estimation (MLE) often leads to models that perform poorly when generating samples…

Machine Learning · Statistics 2020-10-26 Diego M. Arribas , Yuan Zhao , Il Memming Park

Modern well-performing approaches to neural decoding are based on machine learning models such as decision tree ensembles and deep neural networks. The wide range of algorithms that can be utilized to learn from neural spike trains, which…

Neurons and Cognition · Quantitative Biology 2023-01-30 Ivan Lazarevich , Ilya Prokin , Boris Gutkin , Victor Kazantsev