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Recent efforts in coding theory have focused on building codes for insertions and deletions, called insdel codes, with optimal trade-offs between their redundancy and their error-correction capabilities, as well as efficient encoding and…

Information Theory · Computer Science 2020-12-08 Alexander R. Block , Jeremiah Blocki , Elena Grigorescu , Shubhang Kulkarni , Minshen Zhu

We propose a novel approach to program synthesis, focusing on synthesizing database queries. At a high level, our proposed algorithm takes as input a sketch with soft constraints encoding user intent, and then iteratively interacts with the…

Programming Languages · Computer Science 2021-10-12 Osbert Bastani , Xin Zhang , Armando Solar-Lezama

We consider the problem of designing low-redundancy codes in settings where one must correct deletions in conjunction with substitutions or adjacent transpositions; a combination of errors that is usually observed in DNA-based data storage.…

Information Theory · Computer Science 2021-12-21 Ryan Gabrys , Venkatesan Guruswami , João Ribeiro , Ke Wu

Interactive segmentation aims to precisely isolate target objects using sparse user guidance. However, traditional methods often suffer from heavy interaction burdens and parameter sensitivity, while deep learning approaches struggle with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jiachen Song , Dazhi Zhang , Fanghui Song , Zhichang Guo , Shengzhu Shi

We consider the problem of clustering graph nodes over large-scale dynamic graphs, such as citation networks, images and web networks, when graph updates such as node/edge insertions/deletions are observed distributively. We propose…

Data Structures and Algorithms · Computer Science 2018-11-16 Chun Jiang Zhu , Tan Zhu , Kam-Yiu Lam , Song Han , Jinbo Bi

This paper gives some theory and efficient design of binary block systematic codes capable of controlling the deletions of the symbol ``$0$'' (referred to as $0$-deletions) and/or the insertions of the symbol ``$0$'' (referred to as…

Information Theory · Computer Science 2023-02-14 Luca G. Tallini , Nawaf Alqwaifly , Bella Bose

Consider a distributed task where the communication network is fixed but the local inputs given to the nodes of the distributed system may change over time. In this work, we explore the following question: if some of the local inputs…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-20 Klaus-Tycho Foerster , Janne H. Korhonen , Ami Paz , Joel Rybicki , Stefan Schmid

Edit distance is an important measure of string similarity. It counts the number of insertions, deletions and substitutions one has to make to a string $x$ to get a string $y$. In this paper we design an almost linear-size sketching scheme…

Data Structures and Algorithms · Computer Science 2024-06-18 Michal Koucký , Michael Saks

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

In this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

The edit distance of two strings is the minimum number of insertions, deletions, and substitutions of characters needed to transform one string into the other. The textbook dynamic-programming algorithm computes the edit distance of two…

Data Structures and Algorithms · Computer Science 2023-10-25 Alejandro Cassis , Tomasz Kociumaka , Philip Wellnitz

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

We provide improved upper bounds for the simultaneous sketching complexity of edit distance. Consider two parties, Alice with input $x\in\Sigma^n$ and Bob with input $y\in\Sigma^n$, that share public randomness and are given a promise that…

Data Structures and Algorithms · Computer Science 2021-05-04 Ce Jin , Jelani Nelson , Kewen Wu

We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

Machine Learning · Computer Science 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith

Accurate network synchronization is a key enabler for services such as coherent transmission, cooperative decoding, and localization in distributed and cell-free networks. Unlike centralized networks, where synchronization is generally…

Signal Processing · Electrical Eng. & Systems 2023-03-03 Dieter Verbruggen , Hazem Sallouha , Sofie Pollin

We study codes that can detect the exact number of deletions and insertions in concatenated binary strings. We construct optimal codes for the case of detecting up to $\del$ deletions. We prove the optimality of these codes by deriving a…

Information Theory · Computer Science 2021-05-04 Serge Kas Hanna , Rawad Bitar

A binary string transmitted via a memoryless i.i.d. deletion channel is received as a subsequence of the original input. From this, one obtains a posterior distribution on the channel input, corresponding to a set of candidate…

Information Theory · Computer Science 2019-03-05 Arash Atashpendar , Marc Beunardeau , Aisling Connolly , Rémi Géraud , David Mestel , A. W. Roscoe , Peter Y. A. Ryan

We introduce fast-decodable indexing schemes for edit distance which can be used to speed up edit distance computations to near-linear time if one of the strings is indexed by an indexing string $I$. In particular, for every length $n$ and…

Data Structures and Algorithms · Computer Science 2019-04-11 Bernhard Haeupler , Aviad Rubinstein , Amirbehshad Shahrasbi

Given a stream of items each associated with a numerical value, its edit distance to monotonicity is the minimum number of items to remove so that the remaining items are non-decreasing with respect to the numerical value. The space…

Data Structures and Algorithms · Computer Science 2011-11-24 Ho-Leung Chan , Tak-Wah Lam , Lap-Kei Lee , Jiangwei Pan , Hing-Fung Ting , Qin Zhang

Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta