Results 31 to 40 of about 2,390 (186)

Decoupling Inequalities for Polynomial Chaos

The Annals of Probability, 1987
Let \(X,X_ 1,...,X_ d\) be a sequence of independent, symmetric, identically distributed random vectors with independent components. The main subject of this paper is the so-called decoupling inequalities, i.e., inequalities of the form \[ E\phi (cQ(X,X,...,X))\leq E\phi (Q(X_ 1,X_ 2,...,X_ d))\leq E\phi (CQ(X,X,...,X)), \] where Q is a symmetric ...
openaire   +2 more sources

Deep Polynomial Chaos Expansion

CoRR
29th International Conference on Artificial Intelligence and Statistics (AISTATS ...
Johannes Exenberger, Sascha Ranftl, Robert Peharz   +2 more
openaire   +2 more sources

Identification of ground anchors reliability based on acceptance tests and the polynomial chaos expansion method [PDF]

Archives of Civil Engineering
The paper presents a reliability analysis of ground anchors based on acceptance tests and the polynomial chaos expansion method. First of all, it was estimated the probability of meeting the requirements of acceptance tests based on anchor tests realised
Marek Wyjadłowski, Michał Śpitalniak, Zofia Zięba, Łukasz Gajowniczek   +3 more
doaj   +1 more source

Recent advances in polynomial chaos method for uncertainty propagation

Zhongguo Jianchuan Yanjiu, 2021
Uncertainty exists widely in engineering design. As one of the key components of engineering design, uncertainty propagation and quantification has always been an important research topic.
Fenfen XIONG, Jiangtao CHEN, Chengkun REN, Li ZHANG, Zexian LI   +4 more
doaj   +1 more source

Extending Polynomial Chaos to Include Interval Analysis [PDF]

IEEE Transactions on Instrumentation and Measurement, 2008
Polynomial chaos theory (PCT) has been proven to be an efficient and effective way to represent and propagate uncertainty through system models and algorithms in general. In particular, PCT is a computationally efficient way to analyze and solve dynamic models under uncertainty. This paper presents a new way to use a polynomial expansion to incorporate
Antonello Monti, Ferdinanda Ponci, Marco Valtorta   +2 more
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Yield-Constrained Optimization Design Using Polynomial Chaos for Microwave Filters

IEEE Access, 2021
Yield optimization aims at finding microwave filter designs with high yield under fabrication tolerance. The electromagnetic (EM) simulation-based yield optimization methods are computationally expensive because a large number of EM simulations is ...
Zhen Zhang, Hongcai Chen, Yang Yu, Fan Jiang, Qingsha S. Cheng   +4 more
doaj   +1 more source

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

Advanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach

Advanced Electronic Materials, EarlyView.
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza, Francesco Maria Esposito, Carlo Famoso, Arturo Buscarino   +3 more
wiley   +1 more source

Polynomial chaos expansion for operator learning

Computer Methods in Applied Mechanics and Engineering
Operator learning (OL) has emerged as a powerful tool in scientific machine learning (SciML) for approximating mappings between infinite-dimensional functional spaces. One of its main applications is learning the solution operator of partial differential equations (PDEs).
Himanshu Sharma, Lukáš Novák, Michael Shields   +2 more
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CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

AIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis, G. Loachamín‐Suntaxi, I. G. Aviziotis, E. D. Koronaki, P. P. Filippatos, G. Chatzigiannakis, S. P. A. Bordas, D. Davazoglou, A. G. Boudouvis   +8 more
wiley   +1 more source