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Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

Methodology · Statistics 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

A high-order multi-time-step (MTS) scheme for the bond-based peridynamic (PD) model, an extension of classical continuous mechanics widely used for analyzing discontinuous problems like cracks, is proposed. The MTS scheme discretizes the…

Numerical Analysis · Mathematics 2024-01-11 Chenguang Liu , Jie Sun , Hao Tian , WaiSun Don , Lili Ju

Leveraging sensing modalities across diverse spatial and temporal resolutions can improve performance of robotic manipulation tasks. Multi-spatial resolution sensing provides hierarchical information captured at different spatial scales and…

Robotics · Computer Science 2024-01-29 Saumya Saxena , Mohit Sharma , Oliver Kroemer

Corrupted data sets containing noisy or missing observations are prevalent in various contemporary applications such as economics, finance and bioinformatics. Despite the recent methodological and algorithmic advances in high-dimensional…

Methodology · Statistics 2020-05-12 J. Wu , Z. Zheng , Y. Li , Y. Zhang

Time series anomaly detection plays a critical role in many dynamic systems. Despite its importance, previous approaches have primarily relied on unimodal numerical data, overlooking the importance of complementary information from other…

Machine Learning · Computer Science 2026-03-24 Shiyan Hu , Jianxin Jin , Yang Shu , Peng Chen , Bin Yang , Chenjuan Guo

Several techniques for multivariate time series anomaly detection have been proposed recently, but a systematic comparison on a common set of datasets and metrics is lacking. This paper presents a systematic and comprehensive evaluation of…

Machine Learning · Computer Science 2021-09-24 Astha Garg , Wenyu Zhang , Jules Samaran , Savitha Ramasamy , Chuan-Sheng Foo

We introduce a dynamic approach to probabilistic forecast reconciliation at scale. Our model differs from the existing literature in this area in several important ways. Firstly we explicitly allow the weights allocated to the base…

Methodology · Statistics 2024-09-20 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Land Surface Temperature (LST) is a key variable for various applications, such as urban climate and ecology studies. Yet, existing satellite-derived LST products provide either high spatial or high temporal resolution, resulting in a…

Machine Learning · Computer Science 2026-05-14 Solomiia Kurchaba , Angela Meyer

This paper considers the real-time detection of anomalies in high-dimensional systems. The goal is to detect anomalies quickly and accurately so that the appropriate countermeasures could be taken in time, before the system possibly gets…

Machine Learning · Computer Science 2020-07-16 Mahsa Mozaffari , Yasin Yilmaz

Experimental data is often affected by uncontrolled variables that make analysis and interpretation difficult. For spatiotemporal systems, this problem is further exacerbated by their intricate dynamics. Modern machine learning methods are…

Computational Physics · Physics 2020-09-16 Peter Y. Lu , Samuel Kim , Marin Soljačić

The modeling of complicated time-evolving physical dynamics from partial observations is a long-standing challenge. Particularly, observations can be sparsely distributed in a seemingly random or unstructured manner, making it difficult to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Fan Xu , Hao Wu , Nan Wang , Lilan Peng , Kun Wang , Wei Gong , Xibin Zhao

Errors are common in time series due to unreliable sensor measurements. Existing methods focus on univariate data but do not utilize the correlation between dimensions. Cleaning each dimension separately may lead to a less accurate result,…

Databases · Computer Science 2024-11-05 Aoqian Zhang , Zexue Wu , Yifeng Gong , Ye Yuan , Guoren Wang

Large high-dimensional datasets are becoming more and more popular in an increasing number of research areas. Processing the high dimensional data incurs a high computational cost and is inherently inefficient since many of the values that…

Computer Vision and Pattern Recognition · Computer Science 2013-05-01 Alon Schclar

Algorithmic image-based diagnosis and prognosis of neurodegenerative diseases on longitudinal data has drawn great interest from computer vision researchers. The current state-of-the-art models for many image classification tasks are based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Jie Zhang , Qingyang Li , Richard J. Caselli , Jieping Ye , Yalin Wang

Neuromorphic spike data, an upcoming modality with high temporal resolution, has shown promising potential in autonomous driving by mitigating the challenges posed by high-velocity motion blur. However, training the spike depth estimation…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Jiaming Liu , Qizhe Zhang , Xiaoqi Li , Jianing Li , Guanqun Wang , Ming Lu , Tiejun Huang , Shanghang Zhang

Recent developments in decomposition methods for multi-stage stochastic programming with block separable recourse enable the solution to large-scale stochastic programs with multi-timescale uncertainty. Multi-timescale uncertainty is…

Optimization and Control · Mathematics 2024-09-04 Hongyu Zhang , Erlend Heir , Asbjørn Nisi , Asgeir Tomasgard

Data Science aims to extract meaningful knowledge from unorganised data. Real datasets usually come in the form of a cloud of points with only pairwise distances. Numerous applications require to visualise an overall shape of a noisy cloud…

Computational Geometry · Computer Science 2021-03-01 Vitaliy Kurlin , Philip Smith

Multivariate time series anomaly detection (MTSAD) aims to accurately identify and localize complex abnormal patterns in the large-scale industrial control systems. While existing approaches excel in recognizing the distinct patterns under…

Machine Learning · Computer Science 2025-12-17 Xuechun Liu , Heli Sun , Xuecheng Wu , Ruichen Cao , Yunyun Shi , Dingkang Yang , Haoran Li

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

Stochastic multi-scale modeling and simulation for nonlinear thermo-mechanical problems of composite materials with complicated random microstructures remains a challenging issue. In this paper, we develop a novel statistical higher-order…

Numerical Analysis · Mathematics 2023-08-23 Hao Dong , Junzhi Cui
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