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Many time series data mining problems can be solved with repeated use of distance measure. Examples of such tasks include similarity search, clustering, classification, anomaly detection and segmentation. For over two decades it has been…

Machine Learning · Computer Science 2022-09-07 Renjie Wu , Eamonn J. Keogh

User trajectory data is becoming increasingly accessible due to the prevalence of GPS-equipped devices such as smartphones. Many existing studies focus on querying trajectories that are similar to each other in their entirety. We observe…

Databases · Computer Science 2021-09-21 Yanchuan Chang , Jianzhong Qi , Egemen Tanin , Xingjun Ma , Hanan Samet

Sequence classification algorithms, such as SVM, require a definition of distance (similarity) measure between two sequences. A commonly used notion of similarity is the number of matches between $k$-mers ($k$-length subsequences) in the…

Data Structures and Algorithms · Computer Science 2017-12-13 Muhammad Farhan , Juvaria Tariq , Arif Zaman , Mudassir Shabbir , Imdad Ullah Khan

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

The equidistant subsequence pattern matching problem is considered. Given a pattern string $P$ and a text string $T$, we say that $P$ is an \emph{equidistant subsequence} of $T$ if $P$ is a subsequence of the text such that consecutive…

Data Structures and Algorithms · Computer Science 2020-02-18 Mitsuru Funakoshi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda , Ayumi Shinohara

Approximate Pattern Matching is among the most fundamental string-processing tasks. Given a text $T$ of length $n$, a pattern $P$ of length $m$, and a threshold $k$, the task is to identify the fragments of $T$ that are at distance at most…

Data Structures and Algorithms · Computer Science 2024-10-10 Tomasz Kociumaka , Jakob Nogler , Philip Wellnitz

Time series analysis has achieved great success in diverse applications such as network security, environmental monitoring, and medical informatics. Learning similarities among different time series is a crucial problem since it serves as…

Machine Learning · Computer Science 2022-07-19 Shaoyu Dou , Kai Yang , Yang Jiao , Chengbo Qiu , Kui Ren

We present new and improved data structures that answer exact node-to-node distance queries in planar graphs. Such data structures are also known as distance oracles. For any directed planar graph on n nodes with non-negative lengths we…

Data Structures and Algorithms · Computer Science 2011-11-11 Shay Mozes , Christian Sommer

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…

Computational Geometry · Computer Science 2019-01-08 Karl Bringmann , Marvin Künnemann , André Nusser

Similarity search in math is to find mathematical expressions that are similar to a user's query. We conceptualized the similarity factors between mathematical expressions, and proposed an approach to math similarity search (MSS) by…

Information Retrieval · Computer Science 2015-06-01 Qun Zhang , Abdou Youssef

The Fr\'echet distance is a commonly used similarity measure between curves. It is known how to compute the continuous Fr\'echet distance between two polylines with $m$ and $n$ vertices in $\mathbb{R}^d$ in $O(mn (\log \log n)^2)$ time;…

Computational Geometry · Computer Science 2022-08-29 Thijs van der Horst , Marc van Kreveld , Tim Ophelders , Bettina Speckmann

In many applications, it is necessary to determine the string similarity. Edit distance[WF74] approach is a classic method to determine Field Similarity. A well known dynamic programming algorithm [GUS97] is used to calculate edit distance…

Data Structures and Algorithms · Computer Science 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

We study algorithms for approximating pairwise similarity matrices that arise in natural language processing. Generally, computing a similarity matrix for $n$ data points requires $\Omega(n^2)$ similarity computations. This quadratic…

Machine Learning · Computer Science 2022-04-28 Archan Ray , Nicholas Monath , Andrew McCallum , Cameron Musco

Similarity searching finds application in a wide variety of domains including multilingual databases, computational biology, pattern recognition and text retrieval. Similarity is measured in terms of a distance function, edit distance, in…

Databases · Computer Science 2007-05-23 Girish Motwani , Sandhya G. Nair

An increasing amount of trajectory data is being annotated with text descriptions to better capture the semantics associated with locations. The fusion of spatial locations and text descriptions in trajectories engenders a new type of…

Databases · Computer Science 2012-05-15 Gao Cong , Hua Lu , Beng Chin Ooi , Dongxiang Zhang , Meihui Zhang

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

In this vision paper, we propose a shift in perspective for improving the effectiveness of similarity search. Rather than focusing solely on enhancing the data quality, particularly machine learning-generated embeddings, we advocate for a…

Databases · Computer Science 2023-08-03 Renzhi Wu , Jingfan Meng , Jie Jeff Xu , Huayi Wang , Kexin Rong

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

Databases · Computer Science 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

The Dynamic Time Warping (DTW) distance is a popular similarity measure for polygonal curves (i.e., sequences of points). It finds many theoretical and practical applications, especially for temporal data, and is known to be a robust,…

Computational Geometry · Computer Science 2023-11-14 Karl Bringmann , Nick Fischer , Ivor van der Hoog , Evangelos Kipouridis , Tomasz Kociumaka , Eva Rotenberg

OD matrix estimation is a critical problem in the transportation domain. The principle method uses the traffic sensor measured information such as traffic counts to estimate the traffic demand represented by the OD matrix. The problem is…

Machine Learning · Computer Science 2023-07-13 Zheli Xiong , Defu Lian , Enhong Chen , Gang Chen , Xiaomin Cheng