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The ability to predict the future is of great value for biological and artificial cognitive systems alike. However, successfully predicting the future typically requires maintaining a memory of the recent past. It is currently unclear how…

Neurons and Cognition · Quantitative Biology 2026-05-14 Antony W. N'dri , Thomas Barbier , Céline Teulière , Jochen Triesch

We are now witnessing the increasing availability of event stream data, i.e., a sequence of events with each event typically being denoted by the time it occurs and its mark information (e.g., event type). A fundamental problem is to model…

Machine Learning · Computer Science 2017-02-12 Yongqing Wang , Shenghua Liu , Huawei Shen , Xueqi Cheng

Many scientific areas, from computer science to the environmental sciences and finance, give rise to multivariate time series which exhibit long memory, or loosely put, a slow decay in their autocorrelation structure. Efficient modelling…

Methodology · Statistics 2025-12-12 Chiara Boetti , Matthew A. Nunes , Marina I. Knight

Time series constitute a challenging data type for machine learning algorithms, due to their highly variable lengths and sparse labeling in practice. In this paper, we tackle this challenge by proposing an unsupervised method to learn…

Machine Learning · Computer Science 2020-01-06 Jean-Yves Franceschi , Aymeric Dieuleveut , Martin Jaggi

Sequential scaling is a prominent inference-time scaling paradigm, yet its performance improvements are typically modest and not well understood, largely due to the prevalence of heuristic, non-principled approaches that obscure clear…

Machine Learning · Computer Science 2026-02-03 Youkang Wang , Jian Wang , Rubing Chen , Tianyi Zeng , Xiao-Yong Wei , Qing Li

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

Methodology · Statistics 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried

We analyze the scaled voter model, which is a generalization of the noisy voter model with time-dependent herding behavior. We consider the case when the intensity of herding behavior grows as a power-law function of time. In this case, the…

Statistical Mechanics · Physics 2023-02-14 Rytis Kazakevičius , Aleksejus Kononovicius

The recent demonstration of neuromorphic computing with spin-torque nano-oscillators has opened a path to energy efficient data processing. The success of this demonstration hinged on the intrinsic short-term memory of the oscillators. In…

Continuous-time event sequences, i.e., sequences consisting of continuous time stamps and associated event types ("marks"), are an important type of sequential data with many applications, e.g., in clinical medicine or user behavior…

Machine Learning · Statistics 2022-11-17 Alex Boyd , Yuxin Chang , Stephan Mandt , Padhraic Smyth

An increasing number of applications require real-time reasoning under uncertainty with streaming input. The temporal (dynamic) Bayes net formalism provides a powerful representational framework for such applications. However, existing…

Artificial Intelligence · Computer Science 2013-01-07 Masami Takikawa , Bruce D'Ambrosio , Ed Wright

Motivated by reduction of computational complexity, this work develops sign-error adaptive filtering algorithms for estimating time-varying system parameters. Different from the previous work on sign-error algorithms, the parameters are…

Optimization and Control · Mathematics 2016-11-17 Araz Hashemi , G. Yin , Le Yi Wang

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

Given the recent success of Deep Learning applied to a variety of single tasks, it is natural to consider more human-realistic settings. Perhaps the most difficult of these settings is that of continual lifelong learning, where the model…

Machine Learning · Computer Science 2018-12-21 Matthew Riemer , Tim Klinger , Djallel Bouneffouf , Michele Franceschini

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

Numerical Analysis · Mathematics 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

There is significant interest in being able to predict where crimes will happen, for example to aid in the efficient tasking of police and other protective measures. We aim to model both the temporal and spatial dependencies often exhibited…

Applications · Statistics 2013-04-23 Sivan Aldor-Noiman , Lawrence D. Brown , Emily B. Fox , Robert A. Stine

Markov decision processes (MDP) are useful to model concurrent process optimisation problems, but verifying them with numerical methods is often intractable. Existing approximative approaches do not scale well and are limited to memoryless…

Data Structures and Algorithms · Computer Science 2014-09-18 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Neural networks powered with external memory simulate computer behaviors. These models, which use the memory to store data for a neural controller, can learn algorithms and other complex tasks. In this paper, we introduce a new memory to…

Neural and Evolutionary Computing · Computer Science 2019-12-30 Hung Le , Truyen Tran , Svetha Venkatesh