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In observational studies, the true causal model is typically unknown and needs to be estimated from available observational and limited experimental data. In such cases, the learned causal model is commonly represented as a partially…

Artificial Intelligence · Computer Science 2023-03-01 Malte Luttermann , Marcel Wienöbst , Maciej Liśkiewicz

We study reachability and shortest paths problems in dynamic directed graphs. Whereas algebraic dynamic data structures supporting edge updates and reachability/distance queries have been known for quite a long time, they do not, in…

Data Structures and Algorithms · Computer Science 2022-04-01 Adam Karczmarz , Anish Mukherjee , Piotr Sankowski

Acyclic and cyclic orientations of an undirected graph have been widely studied for their importance: an orientation is acyclic if it assigns a direction to each edge so as to obtain a directed acyclic graph (DAG) with the same vertex set;…

Data Structures and Algorithms · Computer Science 2015-06-22 Alessio Conte , Roberto Grossi , Andrea Marino , Romeo Rizzi

Directed acyclic graphs (DAGs) and associated probability models are widely used to model neural connectivity and communication channels. In many experiments, data are collected from multiple subjects whose connectivities may differ but are…

Methodology · Statistics 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

We present two algorithms for maintaining the topological order of a directed acyclic graph with n vertices, under an online edge insertion sequence of m edges. Efficient algorithms for online topological ordering have many applications,…

Data Structures and Algorithms · Computer Science 2007-11-05 Telikepalli Kavitha , Rogers Mathew

A {\em word labeled oriented graph} (WLOG) is an oriented graph $\cal G$ on vertices $X=\{ x_1,\ldots ,x_k\}$, where each oriented edge is labeled by a word in $X^{\pm1}$. WLOGs give rise to presentations which generalize Wirtinger…

Geometric Topology · Mathematics 2014-08-19 Jens Harlander , Stephan Rosebrock

Suffix trees are a fundamental data structure in stringology, but their space usage, though linear, is an important problem for its applications. We design and implement a new compressed suffix tree targeted to highly repetitive texts, such…

Data Structures and Algorithms · Computer Science 2019-02-12 Manuel Cáceres , Gonzalo Navarro

Textual logical reasoning, especially question-answering (QA) tasks with logical reasoning, requires awareness of particular logical structures. The passage-level logical relations represent entailment or contradiction between propositional…

Computation and Language · Computer Science 2023-04-20 Yinya Huang , Lemao Liu , Kun Xu , Meng Fang , Liang Lin , Xiaodan Liang

Recently, Cenzato et al.\ proposed a new text index, called the \emph{suffixient array}, which is a subset of the suffix array and supports locating a single pattern occurrence or finding its maximal exact matches (MEMs), assuming random…

Data Structures and Algorithms · Computer Science 2026-05-07 Paola Bonizzoni , Younan Gao , Brian Riccardi

In this paper we describe a data structure that supports pattern matching queries on a dynamically arriving text over an alphabet ofconstant size. Each new symbol can be prepended to $T$ in O(1) worst-case time. At any moment, we can report…

Data Structures and Algorithms · Computer Science 2013-07-09 Gregory Kucherov , Yakov Nekrich

Given two strings $T$ and $S$ and a set of strings $P$, for each string $p \in P$, consider the unique substrings of $T$ that have $p$ as their prefix and $S$ as their suffix. Two problems then come to mind; the first problem being the…

Data Structures and Algorithms · Computer Science 2022-04-19 Laurentius Leonard , Ken Tanaka

\textsc{Directed Token Sliding} asks, given a directed graph and two sets of pairwise nonadjacent vertices, whether one can reach from one set to the other by repeatedly applying a local operation that exchanges a vertex in the current set…

Data Structures and Algorithms · Computer Science 2022-03-28 Takehiro Ito , Yuni Iwamasa , Yasuaki Kobayashi , Yu Nakahata , Yota Otachi , Masahiro Takahashi , Kunihiro Wasa

This paper addresses the problem of online network topology inference for expanding graphs from a stream of spatiotemporal signals. Online algorithms for dynamic graph learning are crucial in delay-sensitive applications or when changes in…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Bishwadeep Das , Elvin Isufi

In this paper, we tackle structure learning of Directed Acyclic Graphs (DAGs), with the idea of exploiting available prior knowledge of the domain at hand to guide the search of the best structure. In particular, we assume to know the…

Methodology · Statistics 2024-01-19 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso , Erika Banzato

Sorting is a fundamental algorithmic pre-processing technique which often allows to represent data more compactly and, at the same time, speeds up search queries on it. In this paper, we focus on the well-studied problem of sorting and…

Data Structures and Algorithms · Computer Science 2023-04-24 Sung-Hwan Kim , Francisco Olivares , Nicola Prezza

Learning directed acyclic graphs (DAGs) from data is a challenging task both in theory and in practice, because the number of possible DAGs scales superexponentially with the number of nodes. In this paper, we study the problem of learning…

Machine Learning · Computer Science 2019-04-25 Hasan Manzour , Simge Küçükyavuz , Ali Shojaie

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

Machine Learning · Statistics 2024-05-27 Stephen Smith , Qing Zhou

We consider the problem of maintaining a collection of strings while efficiently supporting splits and concatenations on them, as well as comparing two substrings, and computing the longest common prefix between two suffixes. This problem…

Data Structures and Algorithms · Computer Science 2024-08-15 Zsuzsanna Lipták , Francesco Masillo , Gonzalo Navarro

Analogous to regular string and tree languages, regular languages of directed acyclic graphs (DAGs) are defined in the literature. Although called regular, those DAG-languages are more powerful and, consequently, standard problems have a…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Yvo Ad Meeres

Weighted graphs are ubiquitous throughout biology, chemistry, and the social sciences, motivating the development of generative models for abstract weighted graph data using deep neural networks. However, most current deep generative models…

Machine Learning · Computer Science 2025-08-01 Richard Williams , Eric Nalisnick , Andrew Holbrook