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Multiscale entropy (MSE) has been widely used to examine nonlinear systems involving multiple time scales, such as biological and economic systems. Conversely, Allan variance has been used to evaluate the stability of oscillators, such as…

Chaotic Dynamics · Physics 2023-05-03 Naoki Asuke , Tomoki Yamagami , Takatomo Mihana , André Röhm , Ryoichi Horisaki , Makoto Naruse

While large language models (LLMs) excel in generating coherent and contextually rich outputs, their capacity to efficiently handle long-form contexts is limited by fixed-length position embeddings. Additionally, the computational cost of…

Computation and Language · Computer Science 2025-05-23 Sumin An , Junyoung Sung , Wonpyo Park , Chanjun Park , Paul Hongsuck Seo

In this paper we present the concept of description of random processes in complex systems with the discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations…

Statistical Mechanics · Physics 2009-10-31 Renat Yulmetyev , Reter Hanggi , Fail Gafarov

The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional…

Information Theory · Computer Science 2018-01-31 Rui A. P. Perdigão

The advent of Large Language Models (LLMs) and generative AI is fundamentally transforming information retrieval and processing on the Internet, bringing both great potential and significant concerns regarding content authenticity and…

Information Retrieval · Computer Science 2026-02-12 Michele Garetto , Alessandro Cornacchia , Franco Galante , Emilio Leonardi , Alessandro Nordio , Alberto Tarable

Social goods, such as healthcare, smart city, and information networks, often produce ordered event data in continuous time. The generative processes of these event data can be very complex, requiring flexible models to capture their…

Machine Learning · Computer Science 2020-12-29 Shuang Li , Shuai Xiao , Shixiang Zhu , Nan Du , Yao Xie , Le Song

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

Applications · Statistics 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

Modeling high-order feature interactions efficiently is a central challenge in click-through rate and conversion rate prediction. Modern industrial recommender systems are predominantly built upon deep learning recommendation models, where…

Information Retrieval · Computer Science 2026-02-13 Heng Yu , Xiangjun Zhou , Jie Xia , Heng Zhao , Anxin Wu , Yu Zhao , Dongying Kong

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

Machine Learning · Computer Science 2024-10-29 Gang Dang , Dianhui Wang

Information processing abilities of active matter are studied in the reservoir computing (RC) paradigm to infer the future state of a chaotic signal. We uncover an exceptional regime of agent dynamics that has been overlooked previously. It…

Adaptation and Self-Organizing Systems · Physics 2026-01-26 Mario U. Gaimann , Miriam Klopotek

Machine Learning (ML) is continuously permeating a growing amount of application domains. Generative AI such as Large Language Models (LLMs) also sees broad adoption to process multi-modal data such as text, images, audio, and video. While…

Machine Learning · Computer Science 2024-07-18 Pierre Lamart , Yinan Yu , Christian Berger

Previous results pertaining to algebraic state and parameter estimation of linear systems based on a special construction of a forward-backward kernel representation of linear differential invariants are extended to handle large noise in…

Systems and Control · Electrical Eng. & Systems 2021-02-02 Debarshi Patanjali Ghoshal , Hannah Michalska

Long-range temporal coherence (LRTC) is quite common to dynamic systems and is fundamental to the system function. LRTC in the brain has been shown to be important to cognition. Assessing LRTC may provide critical information for…

Neurons and Cognition · Quantitative Biology 2024-07-10 Ze Wang

Intensive Longitudinal Data (ILD) is increasingly available to social and behavioral scientists. With this increased availability come new opportunities for modeling and predicting complex biological, behavioral, and physiological…

Methodology · Statistics 2025-01-08 Zachary F. Fisher , Younghoon Kim , Barbara Fredrickson , Vladas Pipiras

Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

Statistics Theory · Mathematics 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

Cloud native solutions are widely applied in various fields, placing higher demands on the efficient management and utilization of resource platforms. To achieve the efficiency, load forecasting and elastic scaling have become crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-22 Linfeng Wen , Minxian Xu , Adel N. Toosi , Kejiang Ye

A steadily growing computational power is employed to perform molecular dynamics simulations of biological macromolecules, which represents at the same time an immense opportunity and a formidable challenge. In fact, large amounts of data…

Soft Condensed Matter · Physics 2022-05-18 Margherita Mele , Roberto Covino , Raffaello Potestio

In scientific simulations, observations, and experiments, the cost of transferring data to and from disk and across networks has become a significant bottleneck that particularly impacts subsequent data analysis and visualization. To…

Databases · Computer Science 2023-08-24 Victor A. P. Magri , Peter Lindstrom

This study proposes a risk prediction method based on a Multi-Scale Temporal Alignment Network (MSTAN) to address the challenges of temporal irregularity, sampling interval differences, and multi-scale dynamic dependencies in Electronic…

Machine Learning · Computer Science 2025-11-27 Wei-Chen Chang , Lu Dai , Ting Xu

Recent development in computing, sensing and crowd-sourced data have resulted in an explosion in the availability of quantitative information. The possibilities of analyzing this so-called Big Data to inform research and the decision-making…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Nguyen Ho , Huy Vo , Mai Vu , Torben Bach Pedersen
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