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This paper presents a generalization of the Wasserstein distance for both persistence diagrams and merge trees [20], [66] that takes advantage of the regions of their topological features in the input domain. Specifically, we redefine the…

Graphics · Computer Science 2025-10-21 Mathieu Pont , Christoph Garth

The fast-growing amount of traffic data brings many opportunities for revealing more insightful information about traffic dynamics. However, it also demands an effective database management system in which information retrieval is arguably…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Tin T. Nguyen , Simeon C. Calvert , Guopeng Li , Hans van Lint

High-dimensional similarity search underpins modern retrieval systems, yet uniform search strategies fail to exploit the heterogeneous nature of real-world query distributions. We present an adaptive prefiltering framework that leverages…

Information Retrieval · Computer Science 2026-02-27 Teodor-Ioan Calin

We study approximation algorithms for the following three string measures that are widely used in practice: edit distance (ED), longest common subsequence (LCS), and longest increasing sequence (LIS). All three problems can be solved…

Data Structures and Algorithms · Computer Science 2020-07-28 Kuan Cheng , Zhengzhong Jin , Xin Li , Yu Zheng

Deep neural networks have achieved significant improvements in information retrieval (IR). However, most existing models are computational costly and can not efficiently scale to long documents. This paper proposes a novel End-to-End neural…

Computation and Language · Computer Science 2019-08-13 Chen Zheng , Yu Sun , Shengxian Wan , Dianhai Yu

We address the problem of subsequence search in time series using Chebyshev distance, to which we refer as twin subsequence search. We first show how existing time series indices can be extended to perform twin subsequence search. Then, we…

Data Structures and Algorithms · Computer Science 2021-04-15 Georgios Chatzigeorgakidis , Dimitrios Skoutas , Kostas Patroumpas , Themis Palpanas , Spiros Athanasiou , Spiros Skiadopoulos

A new class of distances appropriate for measuring similarity relations between sequences, say one type of similarity per distance, is studied. We propose a new ``normalized information distance'', based on the noncomputable notion of…

Computational Complexity · Computer Science 2011-11-09 Ming Li , Xin Chen , Xin Li , Bin Ma , Paul Vitanyi

The main contribution of this paper is to design an Information Retrieval (IR) technique based on Algorithmic Information Theory (using the Normalized Compression Distance- NCD), statistical techniques (outliers), and novel organization of…

Information Retrieval · Computer Science 2016-11-17 Rafael Martinez , Manuel Cebrian , Francisco de Borja Rodriguez , David Camacho

Recent progress in multiple object tracking (MOT) has shown that a robust similarity score is key to the success of trackers. A good similarity score is expected to reflect multiple cues, e.g. appearance, location, and topology, over a long…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Jiarui Xu , Yue Cao , Zheng Zhang , Han Hu

Factual consistency is one of important summary evaluation dimensions, especially as summary generation becomes more fluent and coherent. The ESTIME measure, recently proposed specifically for factual consistency, achieves high correlations…

Computation and Language · Computer Science 2022-01-10 Oleg Vasilyev , John Bohannon

A longest repeat query on a string, motivated by its applications in many subfields including computational biology, asks for the longest repetitive substring(s) covering a particular string position (point query). In this paper, we extend…

Data Structures and Algorithms · Computer Science 2015-11-10 Bojian Xu

Domains such as scientific workflows and business processes exhibit data models with complex relationships between objects. This relationship is typically represented as sequences, where each data item is annotated with multi-dimensional…

Databases · Computer Science 2019-05-06 Phuong Nguyen , Vatche Ishakian , Vinod Muthusamy , Aleksander Slominski

Existing methods to measure sentence similarity are faced with two challenges: (1) labeled datasets are usually limited in size, making them insufficient to train supervised neural models; (2) there is a training-test gap for unsupervised…

Computation and Language · Computer Science 2022-02-01 Xiaofei Sun , Yuxian Meng , Xiang Ao , Fei Wu , Tianwei Zhang , Jiwei Li , Chun Fan

Dual encoder (DE) models, where a pair of matching query and document are embedded into similar vector representations, are widely used in information retrieval due to their simplicity and scalability. However, the Euclidean geometry of the…

Information Retrieval · Computer Science 2025-09-23 Chong You , Rajesh Jayaram , Ananda Theertha Suresh , Robin Nittka , Felix Yu , Sanjiv Kumar

Heterogeneous datasets emerge in various machine learning and optimization applications that feature different input sources, types or formats. Most models or methods do not natively tackle heterogeneity. Hence, such datasets are often…

Machine Learning · Statistics 2025-08-25 Edward Hallé-Hannan , Charles Audet , Youssef Diouane , Sébastien Le Digabel , Paul Saves

This paper describes an implementation of fast near-neighbours queries (also known as range searching) with respect to the Fr\'echet distance. The algorithm is designed to be efficient on practical data such as GPS trajectories. Our…

Computational Geometry · Computer Science 2018-03-05 Julian Baldus , Karl Bringmann

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Classic similarity measures of strings are longest common subsequence and Levenshtein distance (i.e., the classic edit distance). A classic similarity measure of curves is dynamic time warping. These measures can be computed by simple…

Computational Complexity · Computer Science 2015-04-06 Karl Bringmann , Marvin Künnemann

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

Artificial Intelligence · Computer Science 2017-08-28 Jing Wang

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