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This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

When performing data classification over a stream of continuously occurring instances, a key challenge is to develop an open-world classifier that anticipates instances from an unknown class. Studies addressing this problem, typically…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Yang Gao , Swarup Chandra , Zhuoyi Wang , Latifur Khan

Developing deep learning models that effectively learn object-centric representations, akin to human cognition, remains a challenging task. Existing approaches facilitate object discovery by representing objects as fixed-size vectors,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Aniket Didolkar , Anirudh Goyal , Yoshua Bengio

Research into time series classification has tended to focus on the case of series of uniform length. However, it is common for real-world time series data to have unequal lengths. Differing time series lengths may arise from a number of…

Machine Learning · Computer Science 2019-10-11 Chang Wei Tan , Francois Petitjean , Eamonn Keogh , Geoffrey I. Webb

A good classification method should yield more accurate results than simple heuristics. But there are classification problems, especially high-dimensional ones like the ones based on image/video data, for which simple heuristics can work…

Machine Learning · Statistics 2018-06-15 Tarun Yellamraju , Jonas Hepp , Mireille Boutin

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

We present an unsupervised, data-driven framework for rapid characterisation of astronomical photometric time series using a Multi-Time Attention Network. The model learns time-aware latent representations directly from irregular, partial…

Instrumentation and Methods for Astrophysics · Physics 2026-05-26 Yash Gondhalekar , Anais Möller , Paula Sánchez-Sáez

We present a unified pipeline for univariate time series classification via complex networks and persistent homology. A time series is mapped to a graph through one of five constructions across three families (visibility (natural and…

Algebraic Topology · Mathematics 2026-05-05 İsmail Güzel

A machine that learns a task from observations must encounter and process uncertainty and novelty, especially when it is to maintain performance when observing new information and to select the hypothesis that best fits the current…

Machine Learning · Computer Science 2026-04-17 Derek S. Prijatelj , Timothy J. Ireland , Walter J. Scheirer

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

Medical time series are often irregular and face significant missingness, posing challenges for data analysis and clinical decision-making. Existing methods typically adopt a single modeling perspective, either treating series data as…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Liuqing Chen , Shuhong Xiao , Shixian Ding , Shanhai Hu , Lingyun Sun

This article provides an overview on the statistical modeling of complex data as increasingly encountered in modern data analysis. It is argued that such data can often be described as elements of a metric space that satisfies certain…

Methodology · Statistics 2024-02-28 Paromita Dubey , Yaqing Chen , Hans-Georg Müller

Finding models for linear-time properties is a central problem in verification and planning. We study the distribution of linear-time models by investigating the density of linear-time properties over the space of ultimately periodic words.…

Formal Languages and Automata Theory · Computer Science 2018-03-26 Bernd Finkbeiner , Hazem Torfah

Time-series data is generated ubiquitously from Internet-of-Things (IoT) infrastructure, connected and wearable devices, remote sensing, autonomous driving research and, audio-video communications, in enormous volumes. This paper…

Machine Learning · Computer Science 2021-11-22 Gaurangi Anand , Richi Nayak

Multivariate time series classification is a task with increasing importance due to the proliferation of new problems in various fields (economy, health, energy, transport, crops, etc.) where a large number of information sources are…

Machine Learning · Computer Science 2020-09-09 Francisco J. Baldán , José M. Benítez

Despite extensive research, time series classification and forecasting on noisy data remain highly challenging. The main difficulties lie in finding suitable mathematical concepts to describe time series and effectively separate noise from…

Machine Learning · Computer Science 2024-11-26 Chandrajit Bajaj , Minh Nguyen

A useful approach for analysing multiple time series is via characterising their spectral density matrix as the frequency domain analog of the covariance matrix. When the dimension of the time series is large compared to their length,…

Statistics Theory · Mathematics 2018-10-29 Mark Fiecas , Chenlei Leng , Weidong Liu , Yi Yu

Multivariate time series naturally exist in many fields, like energy, bioinformatics, signal processing, and finance. Most of these applications need to be able to compare these structured data. In this context, dynamic time warping (DTW)…

Machine Learning · Computer Science 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

Understanding temporal information and how the visual world changes over time is a fundamental ability of intelligent systems. In video understanding, temporal information is at the core of many current challenges, including compression,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Laura Sevilla-Lara , Shengxin Zha , Zhicheng Yan , Vedanuj Goswami , Matt Feiszli , Lorenzo Torresani

People's visual experiences of the world are easy to carve up and examine along natural language boundaries, e.g., by category labels, attribute labels, etc. However, it is more difficult to elicit detailed visuospatial information about…

Computer Vision and Pattern Recognition · Computer Science 2021-04-15 Yiyuan Yang , Kenneth Li , Fernanda Eliott , Maithilee Kunda
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