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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…

数据库 · 计算机科学 2024-06-13 Yanchuan Chang , Egemen Tanin , Gao Cong , Christian S. Jensen , Jianzhong Qi

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

机器学习 · 计算机科学 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao

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…

机器学习 · 计算机科学 2021-06-28 Dominik Alfke , Miriam Gondos , Lucile Peroche , Martin Stoll

Hand and arm gesture recognition using the radio frequency (RF) sensing modality proves valuable in manmachine interface and smart environment. In this paper, we use curve matching techniques for measuring the similarity of the maximum…

信号处理 · 电气工程与系统科学 2019-11-12 Moeness G. Amin , Zhengxin Zeng , Tao Shan

We introduce the combinatorial optimization problem Time Disjoint Walks (TDW), which has applications in collision-free routing of discrete objects (e.g., autonomous vehicles) over a network. This problem takes as input a digraph $G$ with…

数据结构与算法 · 计算机科学 2020-02-19 Alexandre Bayen , Jesse Goodman , Eugene Vinitsky

In recent years, non-intrusive load monitoring (NILM) technology has attracted much attention in the related research field by virtue of its unique advantage of utilizing single meter data to achieve accurate decomposition of device-level…

信号处理 · 电气工程与系统科学 2025-04-24 Hangxu Liu , Yaojie Sun , Yu Wang

Starting from a dataset with input/output time series generated by multiple deterministic linear dynamical systems, this paper tackles the problem of automatically clustering these time series. We propose an extension to the so-called…

系统与控制 · 计算机科学 2018-03-09 Oliver Lauwers , Bart De Moor

Acyclic digraphs arise in many natural and artificial processes. Among the broader set, dynamic citation networks represent a substantively important form of acyclic digraphs. For example, the study of such networks includes the spread of…

物理与社会 · 物理学 2011-07-26 Michael J. Bommarito , Daniel Martin Katz , Jon Zelner , James H. Fowler

Many sequential decision problems can be formulated as Markov Decision Processes (MDPs) where the optimal value function (or cost-to-go function) can be shown to satisfy a monotone structure in some or all of its dimensions. When the state…

最优化与控制 · 数学 2015-09-03 Daniel R. Jiang , Warren B. Powell

In this paper, we model the document revision detection problem as a minimum cost branching problem that relies on computing document distances. Furthermore, we propose two new document distance measures, word vector-based Dynamic Time…

信息检索 · 计算机科学 2020-01-08 Xiaofeng Zhu , Diego Klabjan , Patrick Bless

Human demonstrations of trajectories are an important source of training data for many machine learning problems. However, the difficulty of collecting human demonstration data for complex tasks makes learning efficient representations of…

机器学习 · 计算机科学 2024-06-10 Travers Rhodes , Daniel D. Lee

In the realm of time series analysis, accurately measuring similarity is crucial for applications such as forecasting, anomaly detection, and clustering. However, existing metrics often fail to capture the complex, multidimensional nature…

机器学习 · 计算机科学 2024-05-13 Yuhan Liu , Ke Tu

The Fr\'echet distance provides a natural and intuitive measure for the popular task of computing the similarity of two (polygonal) curves. While a simple algorithm computes it in near-quadratic time, a strongly subquadratic algorithm…

计算几何 · 计算机科学 2019-01-08 Karl Bringmann , Marvin Künnemann , André Nusser

The Earth Mover's Distance is a popular similarity measure in several branches of computer science. It measures the minimum total edge length of a perfect matching between two point sets. The Earth Mover's Distance under Translation…

计算几何 · 计算机科学 2025-11-18 Karl Bringmann , Frank Staals , Karol Węgrzycki , Geert van Wordragen

Clustering of motion trajectories is highly relevant for human-robot interactions as it allows the anticipation of human motions, fast reaction to those, as well as the recognition of explicit gestures. Further, it allows automated analysis…

机器人学 · 计算机科学 2024-04-29 Christoph Zelch , Jan Peters , Oskar von Stryk

Spatial approximations have been traditionally used in spatial databases to accelerate the processing of complex geometric operations. However, approximations are typically only used in a first filtering step to determine a set of candidate…

Approximate dynamic programming is a popular method for solving large Markov decision processes. This paper describes a new class of approximate dynamic programming (ADP) methods- distributionally robust ADP-that address the curse of…

机器学习 · 统计学 2012-05-22 Marek Petrik

Distance metric learning is a branch of machine learning that aims to learn distances from the data, which enhances the performance of similarity-based algorithms. This tutorial provides a theoretical background and foundations on this…

机器学习 · 计算机科学 2020-08-20 Juan Luis Suárez-Díaz , Salvador García , Francisco Herrera

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…

机器人学 · 计算机科学 2025-04-21 Chenlin Ming , Zitong Wang , Boxuan Zhang , Zhanxiang Cao , Xiaoming Duan , Jianping He

The widespread adoption of smart meters for monitoring energy consumption has generated vast quantities of high-resolution time series data which remains underutilised. While clustering has emerged as a fundamental tool for mining smart…