Results 81 to 90 of about 3,355 (214)
A polynomial chaos expansion in dependent random variables
Journal of Mathematical Analysis and Applications, 2018 26 pages, three figures, four tables; accepted by Journal of Mathematical Analysis and Applications.
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Polish Maritime Research, 2017 Crosstalk in wiring harness has been studied extensively for its importance in the naval ships electromagnetic compatibility field. An effective and high-efficiency method is proposed in this paper for analyzing Statistical Characteristics of crosstalk ...
Chi Yaodan +5 more
doaj +1 more source
On polynomial chaos expansion via gradient-enhanced ℓ1-minimization [PDF]
Journal of Computational Physics, 2016 Gradient-enhanced Uncertainty Quantification (UQ) has received recent attention, in which the derivatives of a Quantity of Interest (QoI) with respect to the uncertain parameters are utilized to improve the surrogate approximation. Polynomial chaos expansions (PCEs) are often employed in UQ, and when the QoI can be represented by a sparse PCE, $\ell_1$-
Ji Peng, Jerrad Hampton, Alireza Doostan
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MedComm – Biomaterials and Applications, Volume 5, Issue 2, June 2026.Schematic illustration of the development, optimization, and therapeutic evaluation of the Leucas aspera phytosome‐based thermogel for topical antipsoriatic therapy, highlighting its enhanced solubility, skin deposition, and in vivo efficacy in an imiquimod‐induced psoriasis model. Created with BioRender.com.
Ananda Kumar Chettupalli +2 more
wiley +1 more source
Solving Stochastic AC Power Flow via Polynomial Chaos Expansion [PDF]
The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin
Mühlpfordt, Tillmann +2 more
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Shock and Vibration, 2016 For the frequency response analysis of acoustic field with random and interval parameters, a nonintrusive uncertain analysis method named Polynomial Chaos Response Surface (PCRS) method is proposed.
Mingjie Wang, Zhimin Wan, Qibai Huang
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Quantum Circuit Encodings of Polynomial Chaos Expansions
CoRRThis work investigates the expressive power of quantum circuits in approximating high-dimensional, real-valued functions. We focus on countably-parametric holomorphic maps $u:U\to \mathbb{R}$, where the parameter domain is $U=[-1,1]^{\mathbb{N}}$. We establish dimension-independent quantum circuit approximation rates via the best $n$-term truncations ...
Junaid Aftab +3 more
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The feasibility principle in community ecology
Oikos, Volume 2026, Issue 6, June 2026.The structure and function of ecological communities emerge from interactions among populations within specific environmental contexts. Yet we still lack general principles that explain how communities assemble, which patterns we should expect, and when transitions occur across diverse settings.
Serguei Saavedra
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Statistical Analysis of Photonic Integrated Circuits Via Polynomial-Chaos Expansion
, 2013 The effects of parameters variability on the performance of photonic integrated circuits is modeled and analyzed through Polynomial Chaos Expansion.
MORICHETTI, FRANCESCO +5 more
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International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 4957-4970, June 2026.ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source