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We consider two classes of stream-based computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. The dataflow architecture is a natural platform for programming with streams.…

Programming Languages · Computer Science 2016-01-06 Michael Bukatin , Steve Matthews

Dataflow matrix machines are a powerful generalization of recurrent neural networks. They work with multiple types of arbitrary linear streams, multiple types of powerful neurons, and allow to incorporate higher-order constructions. We…

Neural and Evolutionary Computing · Computer Science 2018-05-29 Michael Bukatin , Steve Matthews , Andrey Radul

Dataflow matrix machines arise naturally in the context of synchronous dataflow programming with linear streams. They can be viewed as a rather powerful generalization of recurrent neural networks. Similarly to recurrent neural networks,…

Programming Languages · Computer Science 2018-08-07 Michael Bukatin , Steve Matthews , Andrey Radul

Dataflow matrix machines are a powerful generalization of recurrent neural networks. They work with multiple types of linear streams and multiple types of neurons, including higher-order neurons which dynamically update the matrix…

Neural and Evolutionary Computing · Computer Science 2018-06-22 Michael Bukatin , Steve Matthews , Andrey Radul

We overview dataflow matrix machines as a Turing complete generalization of recurrent neural networks and as a programming platform. We describe vector space of finite prefix trees with numerical leaves which allows us to combine expressive…

Neural and Evolutionary Computing · Computer Science 2017-06-05 Michael Bukatin , Jon Anthony

In this work we target the problem of provably computing the equivalence between two programs represented as dataflow graphs. To this end, we formalize the problem of equivalence between two programs as finding a set of semantics-preserving…

Machine Learning · Computer Science 2021-06-07 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet

1) Dataflow matrix machines (DMMs) generalize neural nets by replacing streams of numbers with linear streams (streams supporting linear combinations), allowing arbitrary input and output arities for activation functions, countable-sized…

Neural and Evolutionary Computing · Computer Science 2018-05-24 Michael Bukatin , Jon Anthony

Dataflow programming is a popular and convenient programming paradigm in systems modelling, optimisation, and machine learning. It has a number of advantages, for instance the lacks of control flow allows computation to be carried out in…

Programming Languages · Computer Science 2021-03-03 Steven W. T. Cheung , Dan R. Ghica , Koko Muroya

Recently, graph neural networks have been adopted in a wide variety of applications ranging from relational representations to modeling irregular data domains such as point clouds and social graphs. However, the space of graph neural…

Machine Learning · Computer Science 2018-12-14 Marcel Nassar

Execution graphs of parallel loop programs exhibit a nested, repeating structure. We show how such graphs that are the result of nested repetition can be represented by succinct parametric structures. This parametric graph template…

Data Structures and Algorithms · Computer Science 2023-07-18 Tal Ben-Nun , Lukas Gianinazzi , Torsten Hoefler , Yishai Oltchik

We present an innovative framework for traffic dynamics analysis using High-Order Evolving Graphs, designed to improve spatio-temporal representations in autonomous driving contexts. Our approach constructs temporal bidirectional bipartite…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Aditya Humnabadkar , Arindam Sikdar , Benjamin Cave , Huaizhong Zhang , Paul Bakaki , Ardhendu Behera

We consider two classes of computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. We argue that the task of program learning should be more tractable for these architectures…

Logic in Computer Science · Computer Science 2015-12-17 Michael Bukatin , Steve Matthews

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

In this article, we extend several algebraic graph analysis methods to bipartite networks. In various areas of science, engineering and commerce, many types of information can be represented as networks, and thus the discipline of network…

Discrete Mathematics · Computer Science 2015-01-16 Jérôme Kunegis

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

In this paper, the acceleration of algorithms using a design of a field programmable gate array (FPGA) as a prototype of a static dataflow architecture is discussed. The static dataflow architecture using operators interconnected by…

Hardware Architecture · Computer Science 2015-03-13 Jorge Luiz e Silva , Joelmir Jose Lopes , Bruno de Abreu Silva , Antonio Carlos Fernandes da Silva

Complex algebraic calculations can be performed by reconstructing analytic results from numerical evaluations over finite fields. We describe FiniteFlow, a framework for defining and executing numerical algorithms over finite fields and…

High Energy Physics - Phenomenology · Physics 2019-07-18 Tiziano Peraro

The purpose of this article is to introduce a new iterative algorithm with properties resembling real life bipartite graphs. The algorithm enables us to generate wide range of random bigraphs, which features are determined by a set of…

Artificial Intelligence · Computer Science 2010-11-03 Szymon Chojnacki , Mieczysław Kłopotek

I will present a way to implement graph algorithms which is different from traditional methods. This work was motivated by the belief that some ideas from software engineering should be applied to graph algorithms. Re-usability of software…

Data Structures and Algorithms · Computer Science 2010-03-24 Marco Nissen

In order to manage massive graphs in practice, it is often necessary to resort to graph compression, which aims at reducing the memory used when storing and processing the graph. Efficient compression methods have been proposed in the…

Social and Information Networks · Computer Science 2023-01-12 Maximilien Danisch , Ioannis Panagiotas , Lionel Tabourier
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