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Distance covariance and distance correlation have been widely adopted in measuring dependence of a pair of random variables or random vectors. If the computation of distance covariance and distance correlation is implemented directly…

Computation · Statistics 2014-10-07 Xiaoming Huo , Gabor J. Szekely

Time series similarity measures are highly relevant in a wide range of emerging applications including training machine learning models, classification, and predictive modeling. Standard similarity measures for time series most often…

Machine Learning · Computer Science 2021-01-22 Lucas Cassiel Jacaruso

Squared Wasserstein distance is a frequently used tool to measure discrepancy between probability distributions. This distance is typically computed between empirical measures of size $n$ from two underlying random samples. Unfortunately,…

Machine Learning · Statistics 2026-05-20 Peter Matthew Jacobs , Jeff M. Phillips

In this article, we generalize the recent Discrete Time Random Walk (DTRW) algorithm, which was introduced for the computation of probability densities of fractional diffusion. Although it has the same computational complexity and shares…

Computational Physics · Physics 2018-08-20 Gurtek Gill , Peter Straka

With the increase of available time series data, predicting their class labels has been one of the most important challenges in a wide range of disciplines. Recent studies on time series classification show that convolutional neural…

Machine Learning · Computer Science 2021-04-07 Dongha Lee , Seonghyeon Lee , Hwanjo Yu

Audio-to-score alignment aims at generating an accurate mapping between a performance audio and the score of a given piece. Standard alignment methods are based on Dynamic Time Warping (DTW) and employ handcrafted features. We explore the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-29 Ruchit Agrawal , Simon Dixon

The discrete truncated Wigner approximation (DTWA) is a powerful tool for analyzing dynamics of quantum spin systems. Since the DTWA includes the leading-order quantum corrections to a mean-field approximation, it is naturally expected that…

Quantum Gases · Physics 2021-01-27 Masaya Kunimi , Kazuma Nagao , Shimpei Goto , Ippei Danshita

We show that for (systematic) linear codes the time complexity of unique decoding is O(n^{2}q^{nRH(delta/2/R)}) and the time complexity of minimum distance decoding is O(n^{2}q^{nRH(delta/R)}). The proposed algorithm inspects all error…

Information Theory · Computer Science 2010-03-25 Dejan Spasov

We present softdtw-cuda-torch, an open-source PyTorch library for computing Soft Dynamic Time Warping (SoftDTW) on GPUs. Our implementation addresses three key limitations of existing GPU implementations of SoftDTW: a hard sequence-length…

Machine Learning · Computer Science 2026-02-20 Ron Shapira Weber , Oren Freifeld

We present an application of gesture recognition using an extension of Dynamic Time Warping (DTW) to recognize behavioural patterns of Attention Deficit Hyperactivity Disorder (ADHD). We propose an extension of DTW using one-class…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 Miguel Ángel Bautista , Antonio Hernández-Vela , Sergio Escalera , Laura Igual , Oriol Pujol , Josep Moya , Verónica Violant , María Teresa Anguera

A hypergraph is a generalization of a graph that arises naturally when attribute-sharing among entities is considered. Compared to graphs, hypergraphs have the distinct advantage that they contain explicit communities and are more…

Social and Information Networks · Computer Science 2024-08-28 Enzhi Li , Scott Nickleach , Bilal Fadlallah

Time-of-flight-based ranging among transceivers with different clocks requires protocols that accommodate varying rates of the clocks. Double-sided two-way ranging (DS-TWR) is widely adopted as a standard protocol due to its accuracy;…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Mohammed Ayman Shalaby , Charles Champagne Cossette , James Richard Forbes , Jerome Le Ny

Temporal difference learning (TD) is a simple iterative algorithm used to estimate the value function corresponding to a given policy in a Markov decision process. Although TD is one of the most widely used algorithms in reinforcement…

Machine Learning · Computer Science 2018-11-07 Jalaj Bhandari , Daniel Russo , Raghav Singal

Computing the quadratic transportation metric (also called the $2$-Wasserstein distance or root mean square distance) between two point clouds, or, more generally, two discrete distributions, is a fundamental problem in machine learning,…

Data Structures and Algorithms · Computer Science 2018-12-18 Jason Altschuler , Francis Bach , Alessandro Rudi , Jonathan Weed

Trajectories that capture object movement have numerous applications, in which similarity computation between trajectories often plays a key role. Traditionally, the similarity between two trajectories is quantified by means of heuristic…

Databases · Computer Science 2024-06-13 Yanchuan Chang , Egemen Tanin , Gao Cong , Christian S. Jensen , Jianzhong Qi

Automatic recognition and classification of tasks in robotic surgery is an important stepping stone toward automated surgery and surgical training. Recently, technical breakthroughs in gathering data make data-driven model development…

Robotics · Computer Science 2017-08-01 Mehrdad J. Bani , Shoele Jamali

When modeling coexpression networks from high-throughput time course data, Pearson Correlation Coefficient (PCC) is one of the most effective and popular similarity functions. However, its reliability is limited since it cannot capture…

Molecular Networks · Quantitative Biology 2014-10-17 Samantha Riccadonna , Giuseppe Jurman , Roberto Visintainer , Michele Filosi , Cesare Furlanello

Real Time performance testing can be divided into two distinct parts: system test and algorithm test. System test checks that the right functions operate on the right data within power, latency, and other constraints under all conditions.…

Programming Languages · Computer Science 2024-10-15 Alan Gatherer , Chaitali Sengupta , Sudipta Sen , Jeffery H. Reed

The growing popularity of online sports and exercise necessitates effective methods for evaluating the quality of online exercise executions. Previous action quality assessment methods, which relied on labeled scores from motion videos,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Renguang Chen , Guolong Zheng , Xu Yang , Zhide Chen , Jiwu Shu , Wencheng Yang , Kexin Zhu , Chen Feng

Learning from Demonstration (LfD) has emerged as a crucial method for robots to acquire new skills. However, when given suboptimal task trajectory demonstrations with shape characteristics reflecting human preferences but subpar dynamic…

Robotics · Computer Science 2025-04-21 Chenlin Ming , Zitong Wang , Boxuan Zhang , Zhanxiang Cao , Xiaoming Duan , Jianping He