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Hypergraphs model complex, non-binary relationships like co-authorships, social group memberships, and recommendations. Like traditional graphs, hypergraphs can grow large, posing challenges for storage, transmission, and query performance.…

Data Structures and Algorithms · Computer Science 2026-04-16 Enno Adler , Stefan Böttcher , Rita Hartel

We consider the problem of sparse coding, where each sample consists of a sparse linear combination of a set of dictionary atoms, and the task is to learn both the dictionary elements and the mixing coefficients. Alternating minimization is…

Machine Learning · Computer Science 2014-07-30 Alekh Agarwal , Animashree Anandkumar , Prateek Jain , Praneeth Netrapalli

This paper investigates two issues on identification of switched linear systems: persistence of excitation and numerical algorithms. The main contribution is a much weaker condition on the regressor to be persistently exciting that…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Biqiang Mu , Tianshi Chen , Changming Cheng , Er-Wei Bai

In this work, we tackle a natural variation of the String Matching Problem on the case of a dynamic pattern, that is, given a static text $T$ and a pattern $P$, we want to support character additions and deletions to the pattern, and after…

Data Structures and Algorithms · Computer Science 2025-06-16 Bruno Monteiro , Vinicius dos Santos

Text classification is one of the most widely studied tasks in natural language processing. Motivated by the principle of compositionality, large multilayer neural network models have been employed for this task in an attempt to effectively…

Computation and Language · Computer Science 2018-08-07 Devendra Singh Sachan , Manzil Zaheer , Ruslan Salakhutdinov

Suppose you have an uncomputable set $X$ and you want to find a set $A$, all of whose infinite subsets compute $X$. There are several ways to do this, but all of them seem to produce a set $A$ which is fairly sparse. We show that this is…

Logic · Mathematics 2023-08-15 Matthew Harrison-Trainor , Lu Liu , Patrick Lutz

We analyse preference inference, through consistency, for general preference languages based on lexicographic models. We identify a property, which we call strong compositionality, that applies for many natural kinds of preference…

Logic in Computer Science · Computer Science 2024-11-01 Nic Wilson , Anne-Marie George

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2026-05-13 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

Relative compression, where a set of similar strings are compressed with respect to a reference string, is a very effective method of compressing DNA datasets containing multiple similar sequences. Relative compression is fast to perform…

Quantitative Methods · Quantitative Biology 2011-06-21 Shanika Kuruppu , Simon Puglisi , Justin Zobel

A Pseudo-Boolean (PB) constraint is a linear inequality constraint over Boolean literals. One of the popular, efficient ideas used to solve PB-problems (a set of PB-constraints) is to translate them to SAT instances (encodings) via, for…

Data Structures and Algorithms · Computer Science 2023-05-09 Michał Karpiński , Marek Piotrów

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2024-10-31 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

Computational Complexity · Computer Science 2011-10-18 Pascal Koiran , Anastasios Zouzias

We propose a method to improve traditional character-based PPM text compression algorithms. Consider a text file as a sequence of alternating words and non-words, the basic idea of our algorithm is to encode non-words and prefixes of words…

Information Theory · Computer Science 2015-03-17 Yichuan Hu , Jianzhong , Zhang , Farooq Khan , Ying Li

Answer Set Programming (ASP) is a logic-based knowledge representation framework, supporting---among other reasoning modes---the central task of query answering. In the propositional case, query answering amounts to computing cautious…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Matti Järvisalo , Marco Maratea , Alessandro Previti

In this paper, a class of deterministic sensing matrices are constructed by selecting rows from Fourier matrices. These matrices have better performance in sparse recovery than random partial Fourier matrices. The coherence and restricted…

Information Theory · Computer Science 2015-09-10 Shan Huang , Hong Sun , Lei Yu , Haijian Zhang

Sorting and searching are large parts of database query processing, e.g., in the forms of index creation, index maintenance, and index lookup; and comparing pairs of keys is a substantial part of the effort in sorting and searching. We have…

Databases · Computer Science 2022-09-20 Thanh Do , Goetz Graefe

Let $G$ be a graph that admits a perfect matching. A {\sf forcing set} for a perfect matching $M$ of $G$ is a subset $S$ of $M$, such that $S$ is contained in no other perfect matching of $G$. This notion originally arose in chemistry in…

Combinatorics · Mathematics 2009-03-17 Peyman Afshani , Hamed Hatami , Ebadollah S. Mahmoodian

Recently, a plethora of works have proposed inference-time algorithms (e.g. best-of-n), which incorporate verifiers to assist the generation process. Their quality-efficiency trade-offs have been empirically benchmarked on a variety of…

Computation and Language · Computer Science 2025-06-09 Edoardo Botta , Yuchen Li , Aashay Mehta , Jordan T. Ash , Cyril Zhang , Andrej Risteski

Although real-world text datasets, such as DNA sequences, are far from being uniformly random, average-case string searching algorithms perform significantly better than worst-case ones in most applications of interest. In this paper, we…

Data Structures and Algorithms · Computer Science 2018-01-16 Lorraine A. K. Ayad , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Solon P. Pissis

The Suffix Array SA(S) of a string S[1 ... n] is an array containing all the suffixes of S sorted by lexicographic order. The suffix array is one of the most well known indexing data structures, and it functions as a key tool in many string…

Data Structures and Algorithms · Computer Science 2020-07-15 Amihood Amir , Itai Boneh