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We propose a methodology that combines generative latent diffusion models with physics-informed machine learning to generate solutions of parametric partial differential equations (PDEs) conditioned on partial observations, which includes,…

Machine Learning · Computer Science 2026-02-11 Davide Gallon , Philippe von Wurstemberger , Patrick Cheridito , Arnulf Jentzen

We present two approximate Bayesian inference methods for parameter estimation in partial differential equation (PDE) models with space-dependent and state-dependent parameters. We demonstrate that these methods provide accurate and…

Methodology · Statistics 2019-09-04 David A. Barajas-Solano , Alexandre M. Tartakovsky

Image Restoration (IR) methods based on a pre-trained diffusion model have demonstrated state-of-the-art performance. However, they have two fundamental limitations: 1) they often assume that the degradation operator is completely known and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Hamadi Chihaoui , Abdelhak Lemkhenter , Paolo Favaro

In this second part of a series we attempt to construct an empirical model that can mimick all experimental observations made regarding the role of an alternative interleaved scan pattern in STEM imaging on the beam damage in a specific…

Materials Science · Physics 2021-05-03 D. Jannis , A. Velazco , A. Béché , J. Verbeeck

Process optimization of photovoltaic devices is a time-intensive, trial and error endeavor, without full transparency of the underlying physics, and with user-imposed constraints that may or may not lead to a global optimum. Herein, we…

Bayesian Optimization (BO) is a key methodology for accelerating molecular discovery by estimating the mapping from molecules to their properties while seeking the optimal candidate. Typically, BO iteratively updates a probabilistic…

Machine Learning · Computer Science 2025-12-17 Qi Chen , Fabio Ramos , Alán Aspuru-Guzik , Florian Shkurti

Precession of a converged beam during acquisition of a 4D-STEM dataset improves strain, orientation, and phase mapping accuracy by averaging over continuous angles of illumination. Precession experiments usually rely on integrated systems,…

Instrumentation and Detectors · Physics 2025-10-20 Stephanie M. Ribet , Rohan Dhall , Colin Ophus , Karen C. Bustillo

We address the solution of large-scale Bayesian optimal experimental design (OED) problems governed by partial differential equations (PDEs) with infinite-dimensional parameter fields. The OED problem seeks to find sensor locations that…

Numerical Analysis · Mathematics 2022-09-07 Keyi Wu , Thomas O'Leary-Roseberry , Peng Chen , Omar Ghattas

Bayesian Optimisation (BO) is a state-of-the-art global optimisation technique for black-box problems where derivative information is unavailable, and sample efficiency is crucial. However, improving the general scalability of BO has proved…

Optimization and Control · Mathematics 2024-12-13 Luo Long , Coralia Cartis , Paz Fink Shustin

In this paper, a novel network architecture that deploys the multi-functional reconfigurable intelligent surface (MF-RIS) in low-Earth orbit (LEO) is proposed. Unlike traditional RIS with only signal reflection capability, the MF-RIS can…

Machine Learning · Computer Science 2025-11-18 Li-Hsiang Shen , Jyun-Jhe Huang , Kai-Ten Feng , Lie-Liang Yang , Jen-Ming Wu

Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed

Bayesian optimisation (BO) is a standard approach for sample-efficient global optimisation of expensive black-box functions, yet its scalability to high dimensions remains challenging. Here, we investigate nonlinear dimensionality reduction…

Optimization and Control · Mathematics 2025-10-20 Luo Long , Coralia Cartis , Paz Fink Shustin

This paper considers the reconstruction problem in Acousto-Electrical Tomography, i.e., the problem of estimating a spatially varying conductivity in a bounded domain from measurements of the internal power densities resulting from…

Numerical Analysis · Mathematics 2020-01-13 Simon Hubmer , Kim Knudsen , Changyou Li , Ekaterina Sherina

Bayesian optimization (BO) algorithms form a class of surrogate-based heuristics, aimed at efficiently computing high-quality solutions for numerical black-box optimization problems. The BO pipeline is highly modular, with different design…

Machine Learning · Computer Science 2022-11-18 Carolin Benjamins , Anja Jankovic , Elena Raponi , Koen van der Blom , Marius Lindauer , Carola Doerr

In many scientific and engineering domains, physical experiments are often costly, non-replicable, or time-consuming. The Kennedy and O'Hagan (KOH) model framework has become a widely used approach for combining simulator runs with limited…

Computation · Statistics 2026-03-18 Hao Zhu , Markus Hainy

Large language models (LLMs) can perform accurate classification with zero or few examples through in-context learning. We extend this capability to regression with uncertainty estimation using frozen LLMs (e.g., GPT-3.5, Gemini), enabling…

Chemical Physics · Physics 2025-05-16 Mayk Caldas Ramos , Shane S. Michtavy , Marc D. Porosoff , Andrew D. White

Using the information theory, this study provides insights into how the construction of latent space of autoencoder (AE) using deep neural network (DNN) training finds a smooth low-dimensional manifold in the stiff dynamical system. Our…

Bayesian optimization over the latent spaces of deep autoencoder models (DAEs) has recently emerged as a promising new approach for optimizing challenging black-box functions over structured, discrete, hard-to-enumerate search spaces (e.g.,…

Machine Learning · Computer Science 2023-02-24 Natalie Maus , Haydn T. Jones , Juston S. Moore , Matt J. Kusner , John Bradshaw , Jacob R. Gardner

Given the growing significance of 2D materials in various optoelectronic applications, it is imperative to have simulation tools that can accurately and efficiently describe electron correlation effects in these systems. Here, we show that…

Strongly Correlated Electrons · Physics 2023-08-14 Oinam Romesh Meitei , Troy Van Voorhis

Discrete structures play an important role in applications like program language modeling and software engineering. Current approaches to predicting complex structures typically consider autoregressive models for their tractability, with…

Machine Learning · Computer Science 2020-11-12 Hanjun Dai , Rishabh Singh , Bo Dai , Charles Sutton , Dale Schuurmans