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Directed acyclic graph (DAG) tasks are currently adopted in the real-time domain to model complex applications from the automotive, avionics, and industrial domains that implement their functionalities through chains of intercommunicating…

Machine Learning · Computer Science 2024-01-12 Binqi Sun , Mirco Theile , Ziyuan Qin , Daniele Bernardini , Debayan Roy , Andrea Bastoni , Marco Caccamo

Embeddings of graphs into distributions of trees that preserve distances in expectation are a cornerstone of many optimization algorithms. Unfortunately, online or dynamic algorithms which use these embeddings seem inherently randomized and…

Data Structures and Algorithms · Computer Science 2021-02-11 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

Long document classification presents challenges in capturing both local and global dependencies due to their extensive content and complex structure. Existing methods often struggle with token limits and fail to adequately model…

Computation and Language · Computer Science 2024-10-07 Sudipta Singha Roy , Xindi Wang , Robert E. Mercer , Frank Rudzicz

Online handwriting represents strokes as time-ordered trajectories, which makes handwritten content easier to transform and reuse in a wide range of applications. However, generating natural sentence-level online handwriting that faithfully…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Jinsu Shin , Sungeun Hong , JinYeong Bak

We propose the fully explainable Decision Tree Graph Neural Network (DT+GNN) architecture. In contrast to existing black-box GNNs and post-hoc explanation methods, the reasoning of DT+GNN can be inspected at every step. To achieve this, we…

Machine Learning · Computer Science 2022-05-27 Peter Müller , Lukas Faber , Karolis Martinkus , Roger Wattenhofer

Recently Kubica et al. (Inf. Process. Let., 2013) and Kim et al. (submitted to Theor. Comp. Sci.) introduced order-preserving pattern matching. In this problem we are looking for consecutive substrings of the text that have the same "shape"…

We present an on-line algorithm for maintaining a topological order of a directed acyclic graph as arcs are added, and detecting a cycle when one is created. Our algorithm takes O(m^{1/2}) amortized time per arc, where m is the total number…

Data Structures and Algorithms · Computer Science 2008-03-07 Bernhard Haeupler , Siddhartha Sen , Robert E. Tarjan

We define a suffixient set for a text $T [1..n]$ to be a set $S$ of positions between 1 and $n$ such that, for any edge descending from a node $u$ to a node $v$ in the suffix tree of $T$, there is an element $s \in S$ such that $u$'s path…

Data Structures and Algorithms · Computer Science 2024-06-06 Lore Depuydt , Travis Gagie , Ben Langmead , Giovanni Manzini , Nicola Prezza

This paper considers fully dynamic graph algorithms with both faster worst case update time and sublinear space. The fully dynamic graph connectivity problem is the following: given a graph on a fixed set of n nodes, process an online…

Data Structures and Algorithms · Computer Science 2015-09-23 David Gibb , Bruce Kapron , Valerie King , Nolan Thorn

This paper introduces a new neural network model that aims to mimic the biological brain more closely by structuring the network as a complete directed graph that processes continuous data for each timestep. Current neural networks have…

Neural and Evolutionary Computing · Computer Science 2024-01-10 Frank Li

Tree alignment graphs (TAGs) provide an intuitive data structure for storing phylogenetic trees that exhibits the relationships of the individual input trees and can potentially account for nested taxonomic relationships. This paper…

Data Structures and Algorithms · Computer Science 2015-03-16 Ruchi Chaudhary , David Fernandez-Baca , J. Gordon Burleigh

We study the problem of efficiently broadcasting packets in multi-hop wireless networks. At each time slot the network controller activates a set of non-interfering links and forwards selected copies of packets on each activated link. A…

Information Theory · Computer Science 2015-07-21 Abhishek Sinha , Georgios Paschos , Chih-ping Li , Eytan Modiano

Search engine has become an inevitable tool for retrieving information from the WWW. Web researchers introduce lots of algorithms to modify search engine based on different features. Sometimes those algorithms are domain related, sometimes…

Information Retrieval · Computer Science 2011-02-08 Debajyoti Mukhopadhyay , Sukanta Sinha

Developing generalizable models that can effectively learn from limited data and with minimal reliance on human supervision is a significant objective within the machine learning community, particularly in the era of deep neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Wenxuan Ma , Shuang Li , Lincan Cai , Jingxuan Kang

Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. Recent work at the intersection of formal language theory and graph theory has found that a Hyperedge Replacement Grammar (HRG)…

Social and Information Networks · Computer Science 2017-06-30 Corey Pennycuff , Salvador Aguinaga , Tim Weninger

We address the problem of building and maintaining distributed spanning trees in highly dynamic networks, in which topological events can occur at any time and any rate, and no stable periods can be assumed. In these harsh environments, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-23 Arnaud Casteigts , Serge Chaumette , Frédéric Guinand , Yoann Pigné

In this paper, we propose an algorithmic framework to automatically generate efficient deep neural networks and optimize their associated hyperparameters. The framework is based on evolving directed acyclic graphs (DAGs), defining a more…

Neural and Evolutionary Computing · Computer Science 2024-05-15 Julie Keisler , El-Ghazali Talbi , Sandra Claudel , Gilles Cabriel

We address the problem of learning the topology of directed acyclic graphs (DAGs) from nodal observations, which adhere to a linear structural equation model. Recent advances framed the combinatorial DAG structure learning task as a…

Machine Learning · Computer Science 2024-09-13 Samuel Rey , Seyed Saman Saboksayr , Gonzalo Mateos

When designing new molecules with particular properties, it is not only important what to make but crucially how to make it. These instructions form a synthesis directed acyclic graph (DAG), describing how a large vocabulary of simple…

Machine Learning · Computer Science 2020-12-22 John Bradshaw , Brooks Paige , Matt J. Kusner , Marwin H. S. Segler , José Miguel Hernández-Lobato

The canonical tree-decomposition theorem, given by Robertson and Seymour in their seminal graph minors series, turns out to be one of the most important tool in structural and algorithmic graph theory. In this paper, we provide the…

Discrete Mathematics · Computer Science 2020-09-29 Archontia C. Giannopoulou , Ken-ichi Kawarabayashi , Stephan Kreutzer , O-joung Kwon