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This paper presents a software implementation of a general framework for time series interpretation based on abductive reasoning. The software provides a data model and a set of algorithms to make inference to the best explanation of a time…

Artificial Intelligence · Computer Science 2020-03-18 Tomas Teijeiro , Paulo Felix

Networks are useful for representing phenomena in a broad range of domains. Although their ability to represent complexity can be a virtue, it is sometimes useful to focus on a simplified network that contains only the most important edges:…

Social and Information Networks · Computer Science 2022-06-02 Zachary P. Neal

Real-world systems are often complex, dynamic, and nonlinear. Understanding the dynamics of a system from its observed time series is key to the prediction and control of the system's behavior. While most existing techniques tacitly assume…

Computation · Statistics 2015-05-19 Bing Wang , Jie Sun , Adilson E. Motter

Time series data occurs widely, and outlier detection is a fundamental problem in data mining, which has numerous applications. Existing autoencoder-based approaches deliver state-of-the-art performance on challenging real-world data but…

Machine Learning · Computer Science 2022-04-08 Tung Kieu , Bin Yang , Chenjuan Guo , Christian S. Jensen , Yan Zhao , Feiteng Huang , Kai Zheng

Recently, Table Structure Recognition (TSR) task, aiming at identifying table structure into machine readable formats, has received increasing interest in the community. While impressive success, most single table component-based methods…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Hao Liu , Xin Li , Mingming Gong , Bing Liu , Yunfei Wu , Deqiang Jiang , Yinsong Liu , Xing Sun

Empirically observed time series in physics, biology, or medicine, are commonly generated by some underlying dynamical system (DS) which is the target of scientific interest. There is an increasing interest to harvest machine learning…

Machine Learning · Computer Science 2022-07-07 Daniel Kramer , Philine Lou Bommer , Carlo Tombolini , Georgia Koppe , Daniel Durstewitz

Mechanistic interpretability aims to explain neural model behaviour by reverse-engineering learned computational structure into human-understandable components. Without a formal framework, however, mechanistic explanations cannot be…

Machine Learning · Computer Science 2026-05-12 Ward Gauderis , Thomas Dooms , Steven T. Holmer , Kola Ayonrinde , Geraint A. Wiggins

We introduce a new Macaulay 2 package, SimplicialDecomposability, which works in conjunction with the extant package SimplicialComplexes in order to compute a shelling order, if one exists, of a specified simplicial complex. Further,…

Combinatorics · Mathematics 2010-08-23 David Cook

This paper first proposes a method of formulating model interpretability in visual understanding tasks based on the idea of unfolding latent structures. It then presents a case study in object detection using popular two-stage region-based…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Tianfu Wu , Wei Sun , Xilai Li , Xi Song , Bo Li

The 21st century has witnessed a growing interest in the analysis of time series data. Whereas most of the literature on the topic deals with real-valued time series, ordinal time series have typically received much less attention. However,…

Machine Learning · Statistics 2023-04-25 Ángel López Oriona , José Antonio Vilar Fernández

Predictive learning uses a known state to generate a future state over a period of time. It is a challenging task to predict spatiotemporal sequence because the spatiotemporal sequence varies both in time and space. The mainstream method is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoyu Pan , Hao Wu , Tan Yang

Deep learning has made significant advances in creating efficient representations of time series data by automatically identifying complex patterns. However, these approaches lack interpretability, as the time series is transformed into a…

Machine Learning · Computer Science 2023-10-26 Etienne Le Naour , Ghislain Agoua , Nicolas Baskiotis , Vincent Guigue

A monolithic process is a single recursive equation with data parameters, which only uses non-determinism, action prefixing, and recursion. We present a technique that decomposes such a monolithic process into multiple processes where each…

Logic in Computer Science · Computer Science 2021-10-04 Maurice Laveaux , Tim A. C. Willemse

Longitudinal (panel) data provide the opportunity to examine temporal patterns of individuals, because measurements are collected on the same person at different, and often irregular, time points. The data is typically visualised using a…

Applications · Statistics 2020-12-04 Nicholas J Tierney , Dianne Cook , Tania Prvan

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

Numerical Analysis · Mathematics 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

Low-rank and sparse decomposition based methods find their use in many applications involving background modeling such as clutter suppression and object tracking. While Robust Principal Component Analysis (RPCA) has achieved great success…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Shoaib Imran , Muhammad Tahir , Zubair Khalid , Momin Uppal

Mode decomposition is a prototypical pattern recognition problem that can be addressed from the (a priori distinct) perspectives of numerical approximation, statistical inference and deep learning. Could its analysis through these combined…

Machine Learning · Statistics 2020-08-07 Houman Owhadi , Clint Scovel , Gene Ryan Yoo

The rise of the programmable web offers new opportunities for the empirically driven social sciences. The access, compilation and preparation of data from the programmable web for statistical analysis can, however, involve substantial…

Computation · Statistics 2016-07-20 Ulrich Matter

We introduce a user-friendly computational framework for implementing robust versions of a wide variety of structured regression methods with the L$_{2}$ criterion. In addition to introducing an algorithm for performing L$_{2}$E regression,…

Computation · Statistics 2021-09-15 Jocelyn T. Chi , Eric C. Chi

Structured prediction plays a central role in machine learning applications from computational biology to computer vision. These models require significantly more computation than unstructured models, and, in many applications, algorithms…

Machine Learning · Computer Science 2013-12-03 Alexander Grubb , Daniel Munoz , J. Andrew Bagnell , Martial Hebert