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We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

Methodology · Statistics 2018-05-01 Hao Chen

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

Research on nearest-neighbor methods tends to focus somewhat dichotomously either on the statistical or the computational aspects -- either on, say, Bayes consistency and rates of convergence or on techniques for speeding up the proximity…

Statistics Theory · Mathematics 2020-04-17 Klim Efremenko , Aryeh Kontorovich , Moshe Noivirt

We consider string matching with variable length gaps. Given a string $T$ and a pattern $P$ consisting of strings separated by variable length gaps (arbitrary strings of length in a specified range), the problem is to find all ending…

Data Structures and Algorithms · Computer Science 2011-10-14 Philip Bille , Inge Li Goertz , Hjalte Wedel Vildhøj , David Kofoed Wind

Full-text search engines are important tools for information retrieval. In a proximity full-text search, a document is relevant if it contains query terms near each other, especially if the query terms are frequently occurring words. For…

Information Retrieval · Computer Science 2020-09-09 Alexander B. Veretennikov

Compared with traditional short-term tracking, long-term tracking poses more challenges and is much closer to realistic applications. However, few works have been done and their performance have also been limited. In this work, we present a…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Bin Yan , Haojie Zhao , Dong Wang , Huchuan Lu , Xiaoyun Yang

We introduce a search problem generalizing the typical setting of Binary Search on the line. Similar to the setting for Binary Search, a target is chosen adversarially on the line, and in response to a query, the algorithm learns whether…

Data Structures and Algorithms · Computer Science 2023-03-14 Calvin Leng , David Kempe

Any reinforcement learning system must be able to identify which past events contributed to observed outcomes, a problem known as credit assignment. A common solution to this problem is to use an eligibility trace to assign credit to…

Machine Learning · Computer Science 2022-07-26 Duncan Bailey , Marcelo G. Mattar

We present an approach for efficiently taking snapshots of the state of a collection of CAS objects. Taking a snapshot allows later operations to read the value that each CAS object had at the time the snapshot was taken. Taking a snapshot…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-01 Yuanhao Wei , Naama Ben-David , Guy E. Blelloch , Panagiota Fatourou , Eric Ruppert , Yihan Sun

Consider the problem of searching a large set of items, such as emails, for a small set which are relevant to a given query. This can be implemented in a sequential manner whereby we use knowledge from earlier items that we have screened to…

Applications · Statistics 2016-08-03 Lisa Turner , Nedialko B. Dimitrov , Paul Fearnhead

Searching for small objects in large images is a task that is both challenging for current deep learning systems and important in numerous real-world applications, such as remote sensing and medical imaging. Thorough scanning of very large…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Nathan Drenkow , Philippe Burlina , Neil Fendley , Onyekachi Odoemene , Jared Markowitz

In-place associative integer sorting technique was proposed for integer lists which requires only constant amount of additional memory replacing bucket sort, distribution counting sort and address calculation sort family of algorithms.…

Data Structures and Algorithms · Computer Science 2012-09-24 A. Emre Cetin

We propose novel algorithms for sequence prediction based on ideas from stringology. These algorithms are time and space efficient and satisfy mistake bounds related to particular stringological complexity measures of the sequence. In this…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Vanessa Kosoy

In a \emph{weighted sequence}, for every position of the sequence and every letter of the alphabet a probability of occurrence of this letter at this position is specified. Weighted sequences are commonly used to represent imprecise or…

Data Structures and Algorithms · Computer Science 2017-08-28 Carl Barton , Tomasz Kociumaka , Chang Liu , Solon P. Pissis , Jakub Radoszewski

Temporal/spatial receptive fields of models play an important role in sequential/spatial tasks. Large receptive fields facilitate long-term relations, while small receptive fields help to capture the local details. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Shanghua Gao , Zhong-Yu Li , Qi Han , Ming-Ming Cheng , Liang Wang

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

Given a regular language L over an ordered alphabet $\Sigma$, the set of lexicographically smallest (resp., largest) words of each length is itself regular. Moreover, there exists an unambiguous finite-state transducer that, on a given word…

Formal Languages and Automata Theory · Computer Science 2020-03-19 Lukas Fleischer , Jeffrey Shallit

Nearest Neighbor Search (NNS) is a central task in knowledge representation, learning, and reasoning. There is vast literature on efficient algorithms for constructing data structures and performing exact and approximate NNS. This paper…

Machine Learning · Statistics 2021-03-10 Blake Mason , Ardhendu Tripathy , Robert Nowak

We consider the approximate pattern matching problem under edit distance. In this problem we are given a pattern $P$ of length $w$ and a text $T$ of length $n$ over some alphabet $\Sigma$, and a positive integer $k$. The goal is to find all…

Data Structures and Algorithms · Computer Science 2018-11-06 Diptarka Chakraborty , Debarati Das , Michal Koucky

The Earley algorithm is a widely used parsing method in natural language processing applications. We introduce a variant of Earley parsing that is based on a ``delayed'' recognition of constituents. This allows us to start the recognition…

cmp-lg · Computer Science 2007-05-23 Mark-Jan Nederhof , Giorgio Satta
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