3 Search Results for "Telek, Miklós"

Document
DOI: 10.4230/OASIcs.PARMA-DITAM.2025.2
Custom Floating-Point Computations for the Optimization of ODE Solvers on FPGA

Authors: Serena Curzel and Marco Gribaudo

Published in: OASIcs, Volume 127, 16th Workshop on Parallel Programming and Run-Time Management Techniques for Many-Core Architectures and 14th Workshop on Design Tools and Architectures for Multicore Embedded Computing Platforms (PARMA-DITAM 2025)

Abstract
Mean Field Analysis and Markovian Agents are powerful techniques for modeling complex systems of distributed interacting objects, for which efficient analytical and numerical solution algorithms can be implemented through linear systems of ordinary differential equations (ODEs). Solving such ODE systems on Field Programmable Gate Arrays (FPGAs) is a promising alternative to traditional CPU- and GPU-based approaches, especially in terms of energy consumption; however, the floating-point computations required are generally thought to be slow and inefficient when implemented on FPGA. In this paper, we demonstrate the use of High-Level Synthesis with automated customization of low-precision floating-point calculations, obtaining hardware accelerators for ODE solvers with improved quality of results and minimal output error. The proposed methodology does not require any manual rewriting of the solver code, but it remains prohibitively slow to evaluate any possible floating-point configuration through logic synthesis; in the future, we will thus implement automated design space exploration methods able to suggest promising configurations under user-defined accuracy and performance constraints.
Cite as

Serena Curzel and Marco Gribaudo. Custom Floating-Point Computations for the Optimization of ODE Solvers on FPGA. In 16th Workshop on Parallel Programming and Run-Time Management Techniques for Many-Core Architectures and 14th Workshop on Design Tools and Architectures for Multicore Embedded Computing Platforms (PARMA-DITAM 2025). Open Access Series in Informatics (OASIcs), Volume 127, pp. 2:1-2:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{curzel_et_al:OASIcs.PARMA-DITAM.2025.2,
  author =	{Curzel, Serena and Gribaudo, Marco},
  title =	{{Custom Floating-Point Computations for the Optimization of ODE Solvers on FPGA}},
  booktitle =	{16th Workshop on Parallel Programming and Run-Time Management Techniques for Many-Core Architectures and 14th Workshop on Design Tools and Architectures for Multicore Embedded Computing Platforms (PARMA-DITAM 2025)},
  pages =	{2:1--2:13},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-363-8},
  ISSN =	{2190-6807},
  year =	{2025},
  volume =	{127},
  editor =	{Cattaneo, Daniele and Fazio, Maria and Kosmidis, Leonidas and Morabito, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.PARMA-DITAM.2025.2},
  URN =		{urn:nbn:de:0030-drops-229064},
  doi =		{10.4230/OASIcs.PARMA-DITAM.2025.2},
  annote =	{Keywords: Differential Equations, High-Level Synthesis, FPGA, floating-point}
}
Document
DOI: 10.4230/DagSemProc.07461.5
Current results and open questions on PH and MAP characterization

Authors: Levente Bodrog, Armin Heindl, Gábor Horváth, Miklós Telek, and András Horváth

Published in: Dagstuhl Seminar Proceedings, Volume 7461, Numerical Methods for Structured Markov Chains (2008)

Abstract
Stochastic processes with matrix exponential kernels have a wide range of applications due to the availability of efficient matrix analytic methods. The characterization of these processes is in progress in recent years. Basic questions like the flexibility, the degree of freedom, the most efficient (canonical) representation of these models are under study. The presentation collects a set of available results and related open questions.
Cite as

Levente Bodrog, Armin Heindl, Gábor Horváth, Miklós Telek, and András Horváth. Current results and open questions on PH and MAP characterization. In Numerical Methods for Structured Markov Chains. Dagstuhl Seminar Proceedings, Volume 7461, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{bodrog_et_al:DagSemProc.07461.5,
  author =	{Bodrog, Levente and Heindl, Armin and Horv\'{a}th, G\'{a}bor and Telek, Mikl\'{o}s and Horv\'{a}th, Andr\'{a}s},
  title =	{{Current results and open questions on PH and MAP characterization}},
  booktitle =	{Numerical Methods for Structured Markov Chains},
  pages =	{1--6},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{7461},
  editor =	{Dario Bini and Beatrice Meini and Vaidyanathan Ramaswami and Marie-Ange Remiche and Peter Taylor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07461.5},
  URN =		{urn:nbn:de:0030-drops-14010},
  doi =		{10.4230/DagSemProc.07461.5},
  annote =	{Keywords: PH distribution, ME distribution, MAP, MEP}
}
Document
DOI: 10.4230/DagSemProc.07461.12
On the Properties of Moments of Matrix Exponential Distributions and Matrix Exponential Processes

Authors: Levente Bodrog, András Horváth, and Miklós Telek

Published in: Dagstuhl Seminar Proceedings, Volume 7461, Numerical Methods for Structured Markov Chains (2008)

Abstract
In this paper we provide properties of moments of matrix exponential distributions and joint moments of matrix exponential processes. Based on the provided properties, an algorithm is presented to compute any finite dimensional moments of these processes based on a set of required (low order) moments. This algorithm does not require the computation of any representation of the given process. We present some related examples to demonstrate the potential use of the properties of moments.
Cite as

Levente Bodrog, András Horváth, and Miklós Telek. On the Properties of Moments of Matrix Exponential Distributions and Matrix Exponential Processes. In Numerical Methods for Structured Markov Chains. Dagstuhl Seminar Proceedings, Volume 7461, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{bodrog_et_al:DagSemProc.07461.12,
  author =	{Bodrog, Levente and Horv\'{a}th, Andr\'{a}s and Telek, Mikl\'{o}s},
  title =	{{On the Properties of Moments of Matrix Exponential Distributions and Matrix Exponential Processes}},
  booktitle =	{Numerical Methods for Structured Markov Chains},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{7461},
  editor =	{Dario Bini and Beatrice Meini and Vaidyanathan Ramaswami and Marie-Ange Remiche and Peter Taylor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07461.12},
  URN =		{urn:nbn:de:0030-drops-13943},
  doi =		{10.4230/DagSemProc.07461.12},
  annote =	{Keywords: Matrix exponential process, Markov arrival process, Matrix exponential distribution, phase type distribution}
}
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