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In high dimension, low sample size (HDLSS) settings, classifiers based on Euclidean distances like the nearest neighbor classifier and the average distance classifier perform quite poorly if differences between locations of the underlying…

Methodology · Statistics 2022-03-08 Sarbojit Roy , Soham Sarkar , Subhajit Dutta , Anil K. Ghosh

We propose a new topological tool for computer vision - Scalar Function Topology Divergence (SFTD), which measures the dissimilarity of multi-scale topology between sublevel sets of two functions having a common domain. Functions can be…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Ilya Trofimov , Daria Voronkova , Eduard Tulchinskii , Evgeny Burnaev , Serguei Barannikov

Data selection plays a crucial role in data-driven decision-making, including in large language models (LLMs), and is typically task-dependent. Properties such as data quality and diversity have been extensively studied and are known to…

Machine Learning · Computer Science 2025-09-30 Yuqing Wang , Shangding Gu

Similarity-based clustering methods separate data into clusters according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper, we propose {\em Clustering by Discriminative…

Machine Learning · Computer Science 2022-06-24 Yingzhen Yang , Ping Li

Time-varying mixture densities occur in many scenarios, for example, the distributions of keywords that appear in publications may evolve from year to year, video frame features associated with multiple targets may evolve in a sequence. Any…

Machine Learning · Statistics 2016-04-19 Cheng Luo , Yang Xiang , Richard Yi Da Xu

Wearable Human Activity Recognition (HAR) still lacks a representation that is both explicit and adaptable. Handcrafted time-series features (TSFs) capture meaningful motion statistics and remain competitive on standard benchmarks, but they…

Human-Computer Interaction · Computer Science 2026-04-29 Ruijie Yao , Chenhang Li , Danyang Zhuo , Tingjun Chen , Xiaoyue Ni

Nonlinear differential equations rarely admit closed-form solutions, thus requiring numerical time-stepping algorithms to approximate solutions. Further, many systems characterized by multiscale physics exhibit dynamics over a vast range of…

Machine Learning · Computer Science 2020-08-26 Yuying Liu , J. Nathan Kutz , Steven L. Brunton

Time series data play an important role in many applications and their analysis reveals crucial information for understanding the underlying processes. Among the many time series learning tasks of great importance, we here focus on…

Machine Learning · Computer Science 2021-06-28 Dominik Alfke , Miriam Gondos , Lucile Peroche , Martin Stoll

What advantage do \emph{sequential} procedures provide over batch algorithms for testing properties of unknown distributions? Focusing on the problem of testing whether two distributions $\mathcal{D}_1$ and $\mathcal{D}_2$ on $\{1,\dots,…

Data Structures and Algorithms · Computer Science 2022-05-13 Omar Fawzi , Nicolas Flammarion , Aurélien Garivier , Aadil Oufkir

Accuracy is a key focus of current work in time series classification. However, speed and data reduction in many applications is equally important, especially when the data scale and storage requirements increase rapidly. Current MTSC…

Machine Learning · Computer Science 2022-12-06 Bhaskar Dhariyal , Thach Le Nguyen , Georgiana Ifrim

Under normality and homoscedasticity assumptions, Linear Discriminant Analysis (LDA) is known to be optimal in terms of minimising the Bayes error for binary classification. In the heteroscedastic case, LDA is not guaranteed to minimise…

Machine Learning · Computer Science 2017-03-27 Kojo Sarfo Gyamfi , James Brusey , Andrew Hunt , Elena Gaura

There is growing research interest in measuring the statistical heterogeneity of clients' local datasets. Such measurements are used to estimate the suitability for collaborative training of personalized federated learning (PFL) models.…

Machine Learning · Computer Science 2024-10-29 Zhilong Li , Xiaohu Wu , Xiaoli Tang , Tiantian He , Yew-Soon Ong , Mengmeng Chen , Qiqi Liu , Qicheng Lao , Han Yu

Network or physical attacks on industrial equipment or computer systems may cause massive losses. Therefore, a quick and accurate anomaly detection (AD) based on monitoring data, especially the multivariate time-series (MTS) data, is of…

Machine Learning · Computer Science 2022-11-03 Jun Zhan , Chengkun Wu , Canqun Yang , Qiucheng Miao , Xiandong Ma

Human Motion Segmentation (HMS), which aims to partition a video into non-overlapping segments corresponding to different human motions, has recently attracted increasing research attention. Existing HMS approaches are predominantly based…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Xianghan Meng , Zhiyuan Huang , Zhengyu Tong , Chun-Guang Li

This research identifies a gap in weakly-labelled multivariate time-series classification (TSC), where state-of-the-art TSC models do not per-form well. Weakly labelled time-series are time-series containing noise and significant…

Machine Learning · Computer Science 2021-09-20 Surayez Rahman , Chang Wei Tan

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

Fine-Grained Visual Classification (FGVC) aims to categorize closely related subclasses, a task complicated by minimal inter-class differences and significant intra-class variance. Existing methods often rely on additional annotations for…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Pengxiang Gao , Yihao Liang , Yanzhi Song , Zhouwang Yang

The growth of data today poses a challenge in management and inference. While feature extraction methods are capable of reducing the size of the data for inference, they do not help in minimizing the cost of data storage. On the other hand,…

Machine Learning · Computer Science 2022-03-04 Thu Nguyen , Thanh Nhan Phan , Van Nhuong Nguyen , Thanh Binh Nguyen , Pål Halvorsen , Michael Riegler

Hierarchical text classification (HTC) is essential for various real applications. However, HTC models are challenging to develop because they often require processing a large volume of documents and labels with hierarchical taxonomy.…

Computation and Language · Computer Science 2023-11-08 SangHun Im , Gibaeg Kim , Heung-Seon Oh , Seongung Jo , Donghwan Kim

Machine learning in medical research, by nature, needs careful attention on obeying the regulations of data privacy, making it difficult to train a machine learning model over gathered data from different medical centers. Failure of…

Machine Learning · Computer Science 2021-10-19 Jun Luo , Shandong Wu
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