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We present an open-source Julia-based software toolkit for solving the phase problem using dual-space iterative algorithms. The toolkit is specifically designed for aperiodic crystals and quasicrystals, supporting general space group…

Other Condensed Matter · Physics 2025-11-19 Pavel Kalugin

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

Quantitative Methods · Quantitative Biology 2024-07-16 Eric Medwedeff , Eric Mjolsness

In latency-sensitive applications, efficient task scheduling is crucial for maintaining Quality of Service (QoS) while meeting strict timing constraints. This paper addresses the challenge of scheduling periodic tasks structured as directed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Ashutosh Shankar , Astha Kumari

Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within the Julia framework as they work within the Python…

Symbolic Computation · Computer Science 2021-08-30 Dmitry S. Kulyabov , Anna V. Korolkova

Given unit execution time (UET) tasks whose precedence constraints form a directed acyclic graph (DAG), the arcs are associated with unit communication time (UCT) delays. The problem is to schedule the tasks on two processors in order to…

Data Structures and Algorithms · Computer Science 2022-03-30 Ruzayn Quaddoura , Gassan Samara

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

Machine Learning · Statistics 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

We present a novel framework for dynamic cut aggregation in L-shaped algorithms. The aim is to improve the parallel performance of distributed L-shaped algorithms through reduced communication latency and load imbalance. We show how…

Optimization and Control · Mathematics 2020-10-06 Martin Biel , Mikael Johansson

We study the problem of efficiently scheduling a computational DAG on multiple processors. The majority of previous works have developed and compared algorithms for this problem in relatively simple models; in contrast to this, we analyze…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-24 Pál András Papp , Georg Anegg , Aikaterini Karanasiou , A. N. Yzelman

This paper describes Convex, a convex optimization modeling framework in Julia. Convex translates problems from a user-friendly functional language into an abstract syntax tree describing the problem. This concise representation of the…

Optimization and Control · Mathematics 2014-10-20 Madeleine Udell , Karanveer Mohan , David Zeng , Jenny Hong , Steven Diamond , Stephen Boyd

Applications in data-parallel computing typically consist of multiple stages. In each stage, a set of intermediate parallel data flows (Coflow) is produced and transferred between servers to enable starting of next stage. While there has…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-23 Mehrnoosh Shafiee , Javad Ghaderi

Static (offline) techniques for mapping applications given by task graphs to MPSoC systems often deliver overly pessimistic and thus suboptimal results w.r.t. exploiting time slack in order to minimize the energy consumption. This holds…

Data Structures and Algorithms · Computer Science 2019-12-20 Bertrand Simon , Joachim Falk , Nicole Megow , Jürgen Teich

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

A directed acyclic hypergraph is a generalized concept of a directed acyclic graph, where each hyperedge can contain an arbitrary number of tails and heads. Directed hypergraphs can be used to model data flow and execution dependencies in…

Data Structures and Algorithms · Computer Science 2020-10-16 Merten Popp , Sebastian Schlag , Christian Schulz , Daniel Seemaier

Directed acyclic graphs (DAGs) are directed graphs in which there is no path from a vertex to itself. DAGs are an omnipresent data structure in computer science and the problem of counting the DAGs of given number of vertices and to sample…

Discrete Mathematics · Computer Science 2025-10-03 Martin Pépin , Alfredo Viola

Scientific workflows are often represented as directed acyclic graphs (DAGs), where vertices correspond to tasks and edges represent the dependencies between them. Since these graphs are often large in both the number of tasks and their…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-15 Svetlana Kulagina , Henning Meyerhenke , Anne Benoit

We revisit existing linear computation coding (LCC) algorithms, and introduce a new framework that measures the computational cost of computing multidimensional linear functions, not only in terms of the number of additions, but also with…

Information Theory · Computer Science 2024-01-17 Hans Rosenberger , Ali Bereyhi , Ralf R. Müller

This proposal presents a graph computing framework intending to support both online and offline computing on large dynamic graphs efficiently. The framework proposes a new data model to support rich evolving vertex and edge data types. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-08 Zhao Yu Dong

Julia is a new language for writing data analysis programs that are easy to implement and run at high performance. Similarly, the Dynamic Distributed Dimensional Data Model (D4M) aims to clarify data analysis operations while retaining…

Mathematical Software · Computer Science 2016-12-13 Alexander Chen , Alan Edelman , Jeremy Kepner , Vijay Gadepally , Dylan Hutchison

We present the software design of Gridap, a novel finite element library written exclusively in the Julia programming language, which is being used by several research groups world-wide to simulate complex physical phenomena such as…

Mathematical Software · Computer Science 2022-04-13 Francesc Verdugo , Santiago Badia

We introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such…

Machine Learning · Statistics 2014-11-12 Johan Pensar , Henrik Nyman , Timo Koski , Jukka Corander