Probabilistic Parametric Curves for Sequence Modeling

This work proposes a probabilistic extension to Bézier curves as a basis for effectively modeling stochastic processes with a bounded index set. The proposed stochastic process model is based on Mixture Density Networks and Bézier curves with Gaussian random variables as control points. A key advant...

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Автор: Hug, Ronny
Формат: Online
Мова:Англійська
Опубліковано: KIT Scientific Publishing 2022
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Онлайн доступ:ONIX_20220718_9783731511984_116
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author Hug, Ronny
author_browse Hug, Ronny
author_facet Hug, Ronny
author_sort Hug, Ronny
collection Directory of Open Access Books
description This work proposes a probabilistic extension to Bézier curves as a basis for effectively modeling stochastic processes with a bounded index set. The proposed stochastic process model is based on Mixture Density Networks and Bézier curves with Gaussian random variables as control points. A key advantage of this model is given by the ability to generate multi-mode predictions in a single inference step, thus avoiding the need for Monte Carlo simulation.
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institution Directory of Open Access Books
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spelling doab-20.500.12854ir-906372025-07-30T11:55:53Z Probabilistic Parametric Curves for Sequence Modeling Hug, Ronny Probabilistische Sequenzmodellierung Stochastische Prozesse Neuronale Netzwerke Parametrische Kurven Probabilistic Sequence Modeling Stochastic Processes Neural Networks Parametric Curves thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists This work proposes a probabilistic extension to Bézier curves as a basis for effectively modeling stochastic processes with a bounded index set. The proposed stochastic process model is based on Mixture Density Networks and Bézier curves with Gaussian random variables as control points. A key advantage of this model is given by the ability to generate multi-mode predictions in a single inference step, thus avoiding the need for Monte Carlo simulation. 2022-08-03T05:36:02Z 2022-08-03T05:36:02Z 2022-07-18T11:55:27Z 2022 book ONIX_20220718_9783731511984_116 OCN: 1348377297 1863-6489 https://library.oapen.org/handle/20.500.12657/57539 9783731511984 https://directory.doabooks.org/handle/20.500.12854/90637 eng Karlsruher Schriften zur Anthropomatik open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/57539/1/9783731511984.pdf https://library.oapen.org/bitstream/20.500.12657/57539/1/9783731511984.pdf https://library.oapen.org/bitstream/20.500.12657/57539/1/9783731511984.pdf https://library.oapen.org/bitstream/20.500.12657/57539/1/9783731511984.pdf KIT Scientific Publishing KIT Scientific Publishing 10.5445/KSP/1000146434 10.5445/KSP/1000146434 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731511984 AG Universitätsverlage KIT Scientific Publishing 226 Karlsruhe open access
spellingShingle Probabilistische Sequenzmodellierung
Stochastische Prozesse
Neuronale Netzwerke
Parametrische Kurven
Probabilistic Sequence Modeling
Stochastic Processes
Neural Networks
Parametric Curves
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
Hug, Ronny
Probabilistic Parametric Curves for Sequence Modeling
title Probabilistic Parametric Curves for Sequence Modeling
title_full Probabilistic Parametric Curves for Sequence Modeling
title_fullStr Probabilistic Parametric Curves for Sequence Modeling
title_full_unstemmed Probabilistic Parametric Curves for Sequence Modeling
title_short Probabilistic Parametric Curves for Sequence Modeling
title_sort probabilistic parametric curves for sequence modeling
topic Probabilistische Sequenzmodellierung
Stochastische Prozesse
Neuronale Netzwerke
Parametrische Kurven
Probabilistic Sequence Modeling
Stochastic Processes
Neural Networks
Parametric Curves
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
topic_facet Probabilistische Sequenzmodellierung
Stochastische Prozesse
Neuronale Netzwerke
Parametrische Kurven
Probabilistic Sequence Modeling
Stochastic Processes
Neural Networks
Parametric Curves
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation::UYAM Maths for computer scientists
url ONIX_20220718_9783731511984_116
work_keys_str_mv AT hugronny probabilisticparametriccurvesforsequencemodeling