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We revisit parallel-innermost term rewriting as a model of parallel computation on inductive data structures and provide a corresponding notion of runtime complexity parametric in the size of the start term. We propose automatic techniques…

Logic in Computer Science · Computer Science 2022-08-02 Thaïs Baudon , Carsten Fuhs , Laure Gonnord

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Complex networks are relational data sets commonly represented as graphs. The analysis of their intricate structure is relevant to many areas of science and commerce, and data sets may reach sizes that require distributed storage and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-05 Jannis Koch , Christian L. Staudt , Maximilian Vogel , Henning Meyerhenke

In recent work we have presented a formal framework for linguistic annotation based on labeled acyclic digraphs. These `annotation graphs' offer a simple yet powerful method for representing complex annotation structures incorporating…

Computation and Language · Computer Science 2007-05-23 Steven Bird , Mark Liberman

Subgraph counting aims to count the number of occurrences of a subgraph T (aka as a template) in a given graph G. The basic problem has found applications in diverse domains. The problem is known to be computationally challenging - the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-27 Langshi Chen , Bo Peng , Sabra Ossen , Anil Vullikanti , Madhav Marathe , Lei Jiang , Judy Qiu

Fault detection has a long tradition: the necessity to provide the most accurate diagnosis possible for a process plant criticality is somehow intrinsic in its functioning. Continuous monitoring is a possible way for early detection.…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Martina Teruzzi , Nicola Demo , Gianluigi Rozza

Concurrent and parallel programming is difficult due to the presence of memory side-effects, which may introduce data races. Type qualifiers, such as reference capabilities, can remove data races by restricting sharing of mutable data.…

Programming Languages · Computer Science 2019-10-16 Kiko Fernandez-Reyes , Isaac Oscar Gariano , James Noble , Tobias Wrigstad

We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold

Professional software developers spend a significant amount of time fixing builds, but this has received little attention as a problem in automatic program repair. We present a new deep learning architecture, called Graph2Diff, for…

In recent years, graph prompting has emerged as a promising research direction, enabling the learning of additional tokens or subgraphs appended to the original graphs without requiring retraining of pre-trained graph models across various…

Machine Learning · Computer Science 2025-05-28 Qunzhong Wang , Xiangguo Sun , Hong Cheng

We consider graph Turing machines, a model of parallel computation on a graph, in which each vertex is only capable of performing one of a finite number of operations. This model of computation is a natural generalization of several…

Logic · Mathematics 2017-03-29 Nathanael Ackerman , Cameron Freer

We give parallel algorithms for string diagrams represented as structured cospans of ACSets. Specifically, we give linear (sequential) and logarithmic (parallel) time algorithms for composition, tensor product, construction of diagrams from…

Category Theory · Mathematics 2023-05-03 Paul Wilson , Fabio Zanasi

Data-flow is a natural approach to parallelism. However, describing dependencies and control between fine-grained data-flow tasks can be complex and present unwanted overheads. TALM (TALM is an Architecture and Language for Multi-threading)…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-23 Leandro A. J. Marzulo , Tiago A. O. Alves , Felipe M. G. França , Vítor Santos Costa

Determining the degree of inherent parallelism in classical sequential algorithms and leveraging it for fast parallel execution is a key topic in parallel computing, and detailed analyses are known for a wide range of classical algorithms.…

Data Structures and Algorithms · Computer Science 2023-04-24 Alexander Fedorov , Diba Hashemi , Giorgi Nadiradze , Dan Alistarh

I introduce a formalism for representing the syntax of recursively structured graph-like patterns. It does not use production rules, like a conventional graph grammar, but represents the syntactic structure in a more direct and declarative…

Formal Languages and Automata Theory · Computer Science 2025-04-25 Peter Fletcher

With the rapid growth of unstructured and semistructured data, parallelizing graph algorithms has become essential for efficiency. However, due to the inherent irregularity in computation, memory access patterns, and communication, graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Nibedita Behera , Ashwina Kumar , Atharva Chougule , Mohammed Shan P S , Rushabh Nirdosh Lalwani , Rupesh Nasre

Temporal graphs are graphs whose topology is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph is represented by assigning a set of integer time-labels to every edge $e$ of $G$, indicating the…

Discrete Mathematics · Computer Science 2020-09-30 George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Viktor Zamaraev , Philipp Zschoche

In recent years, a growing number of method and application works have adapted and applied the causal-graphical-model framework to time series data. Many of these works employ time-resolved causal graphs that extend infinitely into the past…

Statistics Theory · Mathematics 2023-10-10 Andreas Gerhardus , Jonas Wahl , Sofia Faltenbacher , Urmi Ninad , Jakob Runge