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Cognitive processes undergo various fluctuations and transient states across different temporal scales. Superstatistics are emerging as a flexible framework for incorporating such non-stationary dynamics into existing cognitive model…

神经元与认知 · 定量生物学 2024-10-02 Lukas Schumacher , Martin Schnuerch , Andreas Voss , Stefan T. Radev

We introduce an evidence-driven Bayesian formulation of physics-informed neural networks that enables automatic optimization of loss weights between PDE residuals, boundary conditions, and observational data. Unlike existing Bayesian PINN…

计算物理 · 物理学 2026-05-29 Krzysztof M. Graczyk , Kornel Witkowski

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

机器学习 · 统计学 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

Accurate post-processing navigation is essential for applications such as survey and mapping, where the full measurement history can be exploited to refine past state estimates. Fixed-interval smoothing algorithms represent the…

机器人学 · 计算机科学 2026-03-27 Nadav Cohen , Itzik Klein

A procedure is presented to map from the spatial correlation parameters of a turbulent density field (the radial and binormal correlation lengths and wavenumbers, and the fluctuation amplitude) to correlation parameters that would be…

等离子体物理 · 物理学 2017-04-05 M. F. J. Fox , A. R. Field , F. van Wyk , Y. -c. Ghim , A. A. Schekochihin , the MAST Team

Machine learning technologies are expected to be great tools for scientific discoveries. In particular, materials development (which has brought a lot of innovation by finding new and better functional materials) is one of the most…

Investigations of spin squeezing in ensembles of quantum particles have been limited primarily to a subspace of spin fluctuations and a single spatial mode in high-spin and spatially extended ensembles. Here, we show that a wider range of…

量子气体 · 物理学 2015-05-18 Jay D. Sau , S. R. Leslie , Marvin L. Cohen , D. M. Stamper-Kurn

We study the dynamics of dephasing in a quantum two-level system by modeling both 1/f and high-frequency noise by random telegraph processes. Our approach is based on a so-called spin-fluctuator model in which a noisy environment is modeled…

量子物理 · 物理学 2014-12-01 Alexander I. Nesterov , Gennady P. Berman

We consider optimal experimental design (OED) problems in selecting the most informative observation sensors to estimate model parameters in a Bayesian framework. Such problems are computationally prohibitive when the…

计算工程、金融与科学 · 计算机科学 2024-09-10 Jinwoo Go , Peng Chen

Direct measurements of spin fluctuations are becoming the mainstream approach for studies of complex condensed matter, molecular, nuclear, and atomic systems. This review covers recent progress in the field of optical Spin Noise…

介观与纳米尺度物理 · 物理学 2016-10-14 N. A. Sinitsyn , Y. V. Pershin

The reconstruction from observations of high-dimensional chaotic dynamics such as geophysical flows is hampered by (i) the partial and noisy observations that can realistically be obtained, (ii) the need to learn from long time series of…

机器学习 · 统计学 2020-03-31 Marc Bocquet , Julien Brajard , Alberto Carrassi , Laurent Bertino

The challenge of optimal design of experiments (DOE) pervades materials science, physics, chemistry, and biology. Bayesian optimization has been used to address this challenge in vast sample spaces, although it requires framing experimental…

Integrative modeling of macromolecular assemblies allows for structural characterization of large assemblies that are recalcitrant to direct experimental observation. A Bayesian inference approach facilitates combining data from…

生物大分子 · 定量生物学 2026-01-13 Shreyas Arvindekar , Kartik Majila , Shruthi Viswanath

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

机器学习 · 计算机科学 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

We compare the accuracy, precision and reliability of different methods for estimating key system parameters for two-level systems subject to Hamiltonian evolution and decoherence. It is demonstrated that the use of Bayesian modelling and…

量子物理 · 物理学 2019-10-15 Sophie Schirmer , Frank Langbein

Quantum materials research requires co-design of theory with experiments and involves demanding simulations and the analysis of vast quantities of data, usually including pattern recognition and clustering. Artificial intelligence is a…

其他凝聚态物理 · 物理学 2021-11-01 A. M. Samarakoon , D. Alan Tennant , Feng Ye , Qiang Zhang , S. A. Grigera

This research delves into optimizing mechanism design, with an emphasis on the energy efficiency and the expansive design possibilities of reciprocating mechanisms. It investigates how to efficiently integrate Computer-Aided Design (CAD)…

系统与控制 · 电气工程与系统科学 2024-03-14 Abdelmajid Ben Yahya , Santiago Ramos Garces , Nick Van Oosterwyck , Annie Cuyt , Stijn Derammelaere

We develop Bayesian machine learning methods for mixed data sampling (MIDAS) regressions. This involves handling frequency mismatches and specifying functional relationships between many predictors and the dependent variable. We use…

计量经济学 · 经济学 2024-09-11 Niko Hauzenberger , Massimiliano Marcellino , Michael Pfarrhofer , Anna Stelzer

In an era increasingly focused on green computing and explainable AI, revisiting traditional approaches in theoretical and phenomenological particle physics is paramount. This project evaluates various machine learning (ML)…

高能物理 - 唯象学 · 物理学 2025-04-30 Vasileios Vatellis