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In the research area of time series classification, the ensemble shapelet transform algorithm is one of state-of-the-art algorithms for classification. However, its high time complexity is an issue to hinder its application since its base…

Machine Learning · Computer Science 2021-09-24 Weibo Shu , Yaqiang Yao , Shengfei Lyu , Jinlong Li , Huanhuan Chen

The benefits of a recently proposed method to approximate hard optimization problems are demonstrated on the graph partitioning problem. The performance of this new method, called Extremal Optimization, is compared to Simulated Annealing in…

Statistical Mechanics · Physics 2009-10-31 S. Boettcher

The time series classification literature has expanded rapidly over the last decade, with many new classification approaches published each year. Prior research has mostly focused on improving the accuracy and efficiency of classifiers,…

Machine Learning · Computer Science 2020-06-03 Thach Le Nguyen , Severin Gsponer , Iulia Ilie , Martin O'Reilly , Georgiana Ifrim

Recent advances in data collection technologies have led to the emergence of massive spatial datasets, with measurements obtained at millions of spatial locations. Geostatistical models typically employ Gaussian processes (GPs) to capture…

Methodology · Statistics 2026-05-18 Nicholas Rios , Ben Seiyon Lee

Matrix seriation, the problem of permuting the rows and columns of a matrix to uncover latent structure, is a fundamental technique in data science, particularly in the visualization and analysis of relational data. Applications span…

Optimization and Control · Mathematics 2025-06-25 Víctor Blanco , Alfredo Marín , Justo Puerto

Piecewise Aggregate Approximation (PAA) is a competitive basic dimension reduction method for high-dimensional time series mining. When deployed, however, the limitations are obvious that some important information will be missed,…

Machine Learning · Computer Science 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin , Zhen Qin , Xing Zhang , Keli Zhang , Zoe L. Jiang

A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan

Explaining time series classification models is crucial, particularly in high-stakes applications such as healthcare and finance, where transparency and trust play a critical role. Although numerous time series classification methods have…

Machine Learning · Computer Science 2025-10-28 Bosong Huang , Ming Jin , Yuxuan Liang , Johan Barthelemy , Debo Cheng , Qingsong Wen , Chenghao Liu , Shirui Pan

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

Machine Learning · Statistics 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis

Designing efficient and accurate numerical solvers for high-dimensional partial differential equations (PDEs) remains a challenging and important topic in computational science and engineering, mainly due to the "curse of dimensionality" in…

Numerical Analysis · Mathematics 2025-08-20 Senwei Liang , Haizhao Yang

We investigate the addition of constraints on the function image and its derivatives for the incorporation of prior knowledge in symbolic regression. The approach is called shape-constrained symbolic regression and allows us to enforce e.g.…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Gabriel Kronberger , Fabricio Olivetti de França , Bogdan Burlacu , Christian Haider , Michael Kommenda

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

Machine Learning · Computer Science 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song

Extreme Classification (XC) aims to map a query to the most relevant documents from a very large document set. XC algorithms used in real-world applications learn this mapping from datasets curated from implicit feedback, such as user…

In this paper we characterize sharp time-data tradeoffs for optimization problems used for solving linear inverse problems. We focus on the minimization of a least-squares objective subject to a constraint defined as the sub-level set of a…

Information Theory · Computer Science 2016-01-06 Samet Oymak , Benjamin Recht , Mahdi Soltanolkotabi

Real-world time series typically exhibit complex temporal variations, making the time series classification task notably challenging. Recent advancements have demonstrated the potential of multi-scale analysis approaches, which provide an…

Artificial Intelligence · Computer Science 2025-07-25 Zhipeng Liu , Peibo Duan , Binwu Wang , Xuan Tang , Qi Chu , Changsheng Zhang , Yongsheng Huang , Bin Zhang

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

Machine Learning · Statistics 2016-11-01 Michalis K. Titsias

Large-scale numerical simulations often produce high-dimensional gridded data that is challenging to process for downstream applications. A prime example is numerical weather prediction, where atmospheric processes are modeled using…

Machine Learning · Computer Science 2025-02-10 Jieyu Chen , Kevin Höhlein , Sebastian Lerch

Temporal graphs represent binary relationships that change along time. They can model the dynamism of, for example, social and communication networks. Temporal graphs are defined as sets of contacts that are edges tagged with the temporal…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Diego Caro , Antonio Fariña , M. Andrea Rodriguez

Motivated by the proliferation of mobile devices, we consider a basic form of the ubiquitous problem of time-delay estimation (TDE), but with communication constraints between two non co-located sensors. In this setting, when joint…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Amir Weiss , Yuval Kochman , Gregory W. Wornell

The Progressive-X algorithm, Prog-X in short, is proposed for geometric multi-model fitting. The method interleaves sampling and consolidation of the current data interpretation via repetitive hypothesis proposal, fast rejection, and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Daniel Barath , Jiri Matas