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We consider novelty detection in time series with unknown and nonparametric probability structures. A deep learning approach is proposed to causally extract an innovations sequence consisting of novelty samples statistically independent of…

机器学习 · 计算机科学 2022-10-25 Xinyi Wang , Mei-jen Lee , Qing Zhao , Lang Tong

Current interpretability methods focus on explaining a particular model's decision through present input features. Such methods do not inform the user of the sufficient conditions that alter these decisions when they are not desirable.…

机器学习 · 计算机科学 2023-01-20 Julia El Zini , Mohammad Mansour , Mariette Awad

Configurational entropy is an important factor in the free energy change of many macromolecular recognition and binding processes, and has been intensively studied. Despite great progresses that have been made, the global sampling remains…

生物物理 · 物理学 2012-12-04 Wenzhao Li , Kai Wang , Suyan Tian , Pu Tian

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

信息论 · 计算机科学 2019-05-28 David Sigtermans

We study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

机器学习 · 统计学 2018-03-05 Yuta Umezu , Ichiro Takeuchi

Time series classification is a task which deals with temporal sequences, a prevalent data type common in domains such as human activity recognition, sports analytics and general sensing. In this area, interest in explainability has been…

机器学习 · 计算机科学 2024-06-27 Thu Trang Nguyen , Thach Le Nguyen , Georgiana Ifrim

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

数据分析、统计与概率 · 物理学 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes

We introduce a broadly applicable statistical procedure for testing which parametric distribution family generated a random sample of data. The method, termed the Difference in Differential Entropy (DDE) test, provides a unified framework…

计量经济学 · 经济学 2025-12-15 Ron Mittelhammer , George Judge , Miguel Henry

A new concept, called balanced estimator of diffusion entropy, is proposed to detect scalings in short time series. The effectiveness of the method is verified by means of a large number of artificial fractional Brownian motions. It is used…

统计金融 · 定量金融 2012-11-15 Jingzhao Qi , Huijie Yang

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

统计理论 · 数学 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

Deep learning-based support systems have demonstrated encouraging results in numerous clinical applications involving the processing of time series data. While such systems often are very accurate, they have no inherent mechanism for…

Estimating the entropy of a discrete random variable is a fundamental problem in information theory and related fields. This problem has many applications in various domains, including machine learning, statistics and data compression. Over…

信息论 · 计算机科学 2020-12-22 Yuval Shalev , Amichai Painsky , Irad Ben-Gal

We show a general approach for detecting genuine multipartite entanglement (GME) and partial inseparability in many-body-systems by means of macroscopic observables (such as the energy) only. We show that the obtained criteria, the "GME…

量子物理 · 物理学 2013-03-04 Andreas Gabriel , Beatrix C. Hiesmayr

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

数据分析、统计与概率 · 物理学 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

This work is devoted to a comprehensive analysis of topological data analysis fortime series classification. Previous works have significant shortcomings, such aslack of large-scale benchmarking or missing state-of-the-art methods. In this…

机器学习 · 计算机科学 2020-10-13 Polina Pilyugina , Rodrigo Rivera-Castro , Eugeny Burnaev

Quantification of system-wide perturbations from time series -omic data (i.e. a large number of variables with multiple measures in time) provides the basis for many downstream hypothesis generating tools. Here we propose a method,…

定量方法 · 定量生物学 2016-12-30 Yi H. Yan , Elizabeth D. Trippe , Juan B. Gutierrez

High-dimensional time series are characterized by a large number of measurements and complex dependence, and often involve abrupt change points. We propose a new procedure to detect change points in the mean of high-dimensional time series…

统计方法学 · 统计学 2019-03-19 Jun Li , Minya Xu , Ping-Shou Zhong , Lingjun Li

Anomaly detection is a fundamental task for time series analytics with important implications for the downstream performance of many applications. Despite increasing academic interest and the large number of methods proposed in the…

机器学习 · 计算机科学 2025-12-03 Emmanouil Sylligardos , John Paparrizos , Themis Palpanas , Pierre Senellart , Paul Boniol

In this article, we introduce the mean independent component analysis for multivariate time series to reduce the parameter space. In particular, we seek for a contemporaneous linear transformation that detects univariate mean independent…

统计方法学 · 统计学 2025-04-18 Chung Eun Lee , Zeda Li

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

机器学习 · 计算机科学 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar
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