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Accurate forecasting of multivariate time series remains challenging due to the need to capture both short-term fluctuations and long-range temporal dependencies. Transformer-based models have emerged as a powerful approach, but their…

机器学习 · 计算机科学 2026-03-26 Aymane Harkati , Moncef Garouani , Olivier Teste , Julien Aligon , Mohamed Hamlich

We analyze phase transitions in the conditional entropy of a sequence caused by a change in the conditional variables. Such transitions happen, for example, when training to learn the parameters of a system, since the transition from the…

信息论 · 计算机科学 2021-01-07 Kang Gao , Bertrand Hochwald

Deep learning inspired by differential equations is a recent research trend and has marked the state of the art performance for many machine learning tasks. Among them, time-series modeling with neural controlled differential equations…

机器学习 · 计算机科学 2022-09-22 Sheo Yon Jhin , Jaehoon Lee , Minju Jo , Seungji Kook , Jinsung Jeon , Jihyeon Hyeong , Jayoung Kim , Noseong Park

Detecting anomalies for dynamic graphs has drawn increasing attention due to their wide applications in social networks, e-commerce, and cybersecurity. Recent deep learning-based approaches have shown promising results over shallow methods.…

机器学习 · 计算机科学 2021-10-29 Yixin Liu , Shirui Pan , Yu Guang Wang , Fei Xiong , Liang Wang , Qingfeng Chen , Vincent CS Lee

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

机器学习 · 计算机科学 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

Moving Object Detection (MOD) is a crucial task for the Autonomous Driving pipeline. MOD is usually handled via 2-stream convolutional architectures that incorporates both appearance and motion cues, without considering the inter-relations…

计算机视觉与模式识别 · 计算机科学 2021-06-23 Eslam Mohamed , Ahmad El-Sallab

The past decade has witnessed significant advances in time series modeling with deep learning. While achieving state-of-the-art results, the best-performing architectures vary highly across applications and domains. Meanwhile, for natural…

机器学习 · 计算机科学 2024-04-03 Defu Cao , Furong Jia , Sercan O Arik , Tomas Pfister , Yixiang Zheng , Wen Ye , Yan Liu

Recent lightweight MLP-based models have achieved strong performance in time series forecasting by capturing stable trends and seasonal patterns. However, their effectiveness hinges on an implicit assumption of local stationarity…

机器学习 · 计算机科学 2026-01-29 Zhiyu Chen , Minhao Liu , Yanru Zhang

For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an…

统计力学 · 物理学 2024-06-13 Ellen Meyberg , Julius Degünther , Udo Seifert

We introduce Multivariate Multiscale Graph-based Dispersion Entropy (mvDEG), a novel, computationally efficient method for analyzing multivariate time series data in graph and complex network frameworks, and demonstrate its application in…

组合数学 · 数学 2024-05-02 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Probabilistic embeddings have several advantages over deterministic embeddings as they map each data point to a distribution, which better describes the uncertainty and complexity of data. Many works focus on adjusting the distribution…

人工智能 · 计算机科学 2024-12-16 Xiang Huang , Hao Peng , Li Sun , Hui Lin , Chunyang Liu , Jiang Cao , Philip S. Yu

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

量子物理 · 物理学 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely…

适应与自组织系统 · 物理学 2009-11-07 Thomas Nowotny , Misha I. Rabinovich , Henry D. I. Abarbanel

Permutation Entropy (PE) has been shown to be a useful tool for time series analysis due to its low computational cost and noise robustness. This has drawn for its successful application in many fields. Some of these include damage…

数据分析、统计与概率 · 物理学 2020-04-06 Audun Myers , Firas Khasawneh

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

机器学习 · 计算机科学 2021-11-23 David Bayani

We propose a straightforward extension of symbolic transfer entropy to enable the investigation of delayed directional relationships between coupled dynamical systems from time series. Analyzing time series from chaotic model systems, we…

神经元与认知 · 定量生物学 2016-10-10 Henning Dickten , Klaus Lehnertz

Neural network-based solvers for partial differential equations (PDEs) have attracted considerable attention, yet they often face challenges in accuracy and computational efficiency. In this work, we focus on time-dependent PDEs and observe…

数值分析 · 数学 2025-09-30 Guihong Wang , Zheng-An Chen , Tao Luo

Accurate spatiotemporal pattern analysis is critical in fields such as urban traffic, meteorology, and public health monitoring. However, existing methods face performance bottlenecks, typically yielding only incremental gains and often…

机器学习 · 计算机科学 2026-05-20 Jing Chen , Shixiang Pan , Yujie Fan , Haocheng Ye , Haitao Xu , Wenqiang Xu

Transfer entropy measures directed information flow in time series, and it has become a fundamental quantity in applications spanning neuroscience, finance, and complex systems analysis. However, existing estimation methods suffer from the…

In this work, we are interested in structure learning for a set of spatially distributed dynamical systems, where individual subsystems are coupled via latent variables and observed through a filter. We represent this model as a directed…

人工智能 · 计算机科学 2016-11-03 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch
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