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相关论文: FRUITS: Feature Extraction Using Iterated Sums for…

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Aiming for a systematic feature-extraction from time series, we introduce the iterated-sums signature over arbitrary commutative semirings. The case of the tropical semiring is a central, and our motivating example. It leads to features of…

环与代数 · 数学 2026-04-23 Joscha Diehl , Kurusch Ebrahimi-Fard , Nikolas Tapia

The all-relevant problem of feature selection is the identification of all strongly and weakly relevant attributes. This problem is especially hard to solve for time series classification and regression in industrial applications such as…

机器学习 · 计算机科学 2017-05-23 Maximilian Christ , Andreas W. Kempa-Liehr , Michael Feindt

We develop a novel algorithm for feature extraction in time series data by leveraging tools from topological data analysis. Our algorithm provides a simple, efficient way to successfully harness topological features of the attractor of the…

计算几何 · 计算机科学 2019-06-05 Kwangho Kim , Jisu Kim , Alessandro Rinaldo

Iterated function systems (IFS) can be a surprisingly useful tool for studying structure in data. Here we present results stemming from a 2013 computational study by the author using IFS. The results include fractal patterns that reveal…

数论 · 数学 2017-01-04 Harlan J. Brothers

We propose a tree ensemble method, referred to as time series forest (TSF), for time series classification. TSF employs a combination of the entropy gain and a distance measure, referred to as the Entrance (entropy and distance) gain, for…

机器学习 · 计算机科学 2013-06-04 Houtao Deng , George Runger , Eugene Tuv , Martyanov Vladimir

We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent…

动力系统 · 数学 2013-05-01 Zachary Alexander , Elizabeth Bradley , Joshua Garland , James D. Meiss

A new approach for feature extraction from time series is proposed in this paper. This approach consists of a specific regression model incorporating a discrete hidden logistic process. The model parameters are estimated by the maximum…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Time series are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their…

机器学习 · 计算机科学 2018-05-29 Wei Cao , Dong Wang , Jian Li , Hao Zhou , Lei Li , Yitan Li

A highly comparative, feature-based approach to time series classification is introduced that uses an extensive database of algorithms to extract thousands of interpretable features from time series. These features are derived from across…

机器学习 · 计算机科学 2017-11-10 Ben D. Fulcher , Nick S. Jones

Feature extraction methods help in dimensionality reduction and capture relevant information. In time series forecasting (TSF), features can be used as auxiliary information to achieve better accuracy. Traditionally, features used in TSF…

机器学习 · 计算机科学 2022-09-16 Alexey Chernikov , Chang Wei Tan , Pablo Montero-Manso , Christoph Bergmeir

There have recently been significant advances in the accuracy of algorithms proposed for time series classification (TSC). However, a commonly asked question by real world practitioners and data scientists less familiar with the research…

机器学习 · 计算机科学 2024-11-05 Matthew Middlehurst , Anthony Bagnall

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

机器学习 · 计算机科学 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

Irregular Time Series Data (IRTS) has shown increasing prevalence in real-world applications. We observed that IRTS can be divided into two specialized types: Natural Irregular Time Series (NIRTS) and Accidental Irregular Time Series…

Importance sampling (IS) is a powerful Monte Carlo methodology for the approximation of intractable integrals, very often involving a target probability density function. The performance of IS heavily depends on the appropriate selection of…

统计计算 · 统计学 2023-06-22 Víctor Elvira , Emilie Chouzenoux , Ömer Deniz Akyildiz , Luca Martino

We study the problem of classifying interval-based temporal sequences (IBTSs). Since common classification algorithms cannot be directly applied to IBTSs, the main challenge is to define a set of features that effectively represents the…

机器学习 · 计算机科学 2020-09-18 S. Mohammad Mirbagheri , Howard J. Hamilton

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

机器学习 · 计算机科学 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

The article considers classification task of fractal time series by the meta algorithms based on decision trees. Binomial multiplicative stochastic cascades are used as input time series. Comparative analysis of the classification…

网络与互联网体系结构 · 计算机科学 2019-05-09 Vitalii Bulakh , Lyudmyla Kirichenko , Tamara Radivilova

We introduce supervised feature ranking and feature subset selection algorithms for multivariate time series (MTS) classification. Unlike most existing supervised/unsupervised feature selection algorithms for MTS our techniques do not…

机器学习 · 计算机科学 2020-05-04 Shuchu Han , Alexandru Niculescu-Mizil

Several interpretability methods for convolutional network-based classifiers exist. Most of these methods focus on extracting saliency maps for a given sample, providing a local explanation that highlights the main regions for the…

We consider nonlinear, or "event-dependent", sampling, i.e. such that the sampling instances {tk} depend on the function being sampled. The use of such sampling in the construction of Lebesgue's integral sums is noted and discussed as…

数据分析、统计与概率 · 物理学 2016-11-17 Emanuel Gluskin
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