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The longest common substring problem consists in finding a longest string that appears as a (contiguous) substring of two input strings. We consider the dynamic variant of this problem, in which we are to maintain two dynamic strings $S$…

Data Structures and Algorithms · Computer Science 2026-04-09 Panagiotis Charalampopoulos , Paweł Gawrychowski , Karol Pokorski

Tracking and collecting fast-evolving online discussions provides vast data for studying social media usage and its role in people's public lives. However, collecting social media data using a static set of keywords fails to satisfy the…

Social and Information Networks · Computer Science 2021-02-26 Maya Srikanth , Anqi Liu , Nicholas Adams-Cohen , Jian Cao , R. Michael Alvarez , Anima Anandkumar

The run time complexity of state-of-the-art inference algorithms in graph-based dependency parsing is super-linear in the number of input words (n). Recently, pruning algorithms for these models have shown to cut a large portion of the…

Computation and Language · Computer Science 2016-06-09 Effi Levi , Roi Reichart , Ari Rappoport

Let S be a finite, ordered alphabet, and let x = x_1 x_2 ... x_n be a string over S. A "secondary index" for x answers alphabet range queries of the form: Given a range [a_l,a_r] over S, return the set I_{[a_l;a_r]} = {i |x_i \in [a_l;…

Databases · Computer Science 2008-11-19 Rasmus Pagh , S. Srinivasa Rao

In this paper, we study the static cell probe complexity of non-adaptive data structures that maintain a subset of $n$ points from a universe consisting of $m=n^{1+\Omega(1)}$ points. A data structure is defined to be non-adaptive when the…

Data Structures and Algorithms · Computer Science 2024-04-19 Giuseppe Persiano , Kevin Yeo

We establish that every monadic second-order logic (MSO) formula on graphs with bounded treedepth is decidable in a constant number of rounds within the CONGEST model. To our knowledge, this marks the first meta-theorem regarding…

Data Structures and Algorithms · Computer Science 2024-05-07 Fedor V. Fomin , Pierre Fraigniaud , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

We introduce an online version of the multiselection problem, in which q selection queries are requested on an unsorted array of n elements. We provide the first online algorithm that is 1-competitive with Kaligosi et al. [ICALP 2005] in…

Data Structures and Algorithms · Computer Science 2018-11-16 Jérémy Barbay , Ankur Gupta , S. Srinivasa Rao , Jonathan Sorenson

Maximizing monotone submodular functions under a matroid constraint is a classic algorithmic problem with multiple applications in data mining and machine learning. We study this classic problem in the fully dynamic setting, where elements…

Data Structures and Algorithms · Computer Science 2025-05-26 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

Supported by the recent contributions in multiple branches, the first-order splitting algorithms became central for structured nonsmooth optimization. In the large-scale or noisy contexts, when only stochastic information on the smooth part…

Optimization and Control · Mathematics 2020-10-05 Andrei Patrascu , Paul Irofti

In this paper we investigate the effectiveness of direct statistical simulation (DSS) for two low-order models of dynamo action. The first model, which is a simple model of solar and stellar dynamo action, is third-order and has cubic…

Solar and Stellar Astrophysics · Physics 2021-10-22 Kuan Li , J. B. Marston , Steven M. Tobias

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

Monadic decomposability is a notion of variable independence, which asks whether a given formula in a first-order theory is expressible as a Boolean combination of monadic predicates in the theory. Recently, Veanes et al. showed the…

Logic in Computer Science · Computer Science 2020-04-28 Matthew Hague , Anthony Widjaja Lin , Philipp Rümmer , Zhilin Wu

We present a data structure representing a dynamic set S of w-bit integers on a w-bit word RAM. With |S|=n and w > log n and space O(n), we support the following standard operations in O(log n / log w) time: - insert(x) sets S = S + {x}. -…

Data Structures and Algorithms · Computer Science 2014-10-28 Mihai Patrascu , Mikkel Thorup

We consider distributed model-checking of Monadic Second-Order logic (MSO) on graphs which constitute the topology of communication networks. The graph is thus both the structure being checked and the system on which the distributed…

Logic in Computer Science · Computer Science 2009-04-14 Stephane Grumbach , Zhilin Wu

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

Optimization and Control · Mathematics 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

Online multiple-output regression is an important machine learning technique for modeling, predicting, and compressing multi-dimensional correlated data streams. In this paper, we propose a novel online multiple-output regression method,…

Machine Learning · Computer Science 2015-09-09 Changsheng Li , Fan Wei , Weishan Dong , Qingshan Liu , Xiangfeng Wang , Xin Zhang

We prove that the MSO+U logic is compositional in the following sense: whether an MSO+U formula holds in a tree T depends only on MSO+U-definable properties of the root of T and of subtrees of T starting directly below the root. Another…

Logic in Computer Science · Computer Science 2020-05-07 Paweł Parys

Given an $\mathbb{N}$-weighted tree automaton, we give a decision procedure for exponential vs polynomial growth (with respect to the input size) in quadratic time, and an algorithm that computes the exact polynomial degree of growth in…

Formal Languages and Automata Theory · Computer Science 2026-01-07 Paul Gallot , Nathan Lhote , Lê Thành Dũng Nguyên

We consider the problem of maintaining a dynamic set of integers and answering queries of the form: report a point (equivalently, all points) in a given interval. Range searching is a natural and fundamental variant of integer search, and…

Data Structures and Algorithms · Computer Science 2007-05-23 Christian Worm Mortensen , Rasmus Pagh , Mihai Patrascu

Rank-based zeroth-order (ZO) optimization -- which relies only on the ordering of function evaluations -- offers strong robustness to noise and monotone transformations, and underlies many successful algorithms such as CMA-ES, natural…

Machine Learning · Computer Science 2025-12-19 Haishan Ye