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Predictive materials synthesis is the primary bottleneck in realizing new functional and quantum materials. Strategies for synthesis of promising materials are currently identified by time-consuming trial and error approaches and there are…

The Bayesian approach to Inverse Problems relies predominantly on Markov Chain Monte Carlo methods for posterior inference. The typical nonlinear concentration of posterior measure observed in many such Inverse Problems presents severe…

Computation · Statistics 2016-02-17 Shiwei Lan , Tan Bui-Thanh , Mike Christie , Mark Girolami

We present a novel approach for constrained Bayesian inference. Unlike current methods, our approach does not require convexity of the constraint set. We reduce the constrained variational inference to a parametric optimization over the…

Machine Learning · Computer Science 2013-09-27 Oluwasanmi Koyejo , Joydeep Ghosh

Selecting efficient multi-step synthetic routes is a central challenge in organic synthesis, particularly in medicinal and process chemistry, where route choice directly impacts feasibility, cost, and development efficiency. Data-driven…

Manufacturing advanced materials and products with a specific property or combination of properties is often warranted. To achieve that it is crucial to find out the optimum recipe or processing conditions that can generate the ideal…

Machine Learning · Computer Science 2023-04-20 Hamed Khosravi , Taofeeq Olajire , Ahmed Shoyeb Raihan , Imtiaz Ahmed

Learning the structure of dependencies among multiple random variables is a problem of considerable theoretical and practical interest. Within the context of Bayesian Networks, a practical and surprisingly successful solution to this…

Machine Learning · Computer Science 2021-01-20 Giulio Caravagna , Daniele Ramazzotti

Modern imaging methods rely strongly on Bayesian inference techniques to solve challenging imaging problems. Currently, the predominant Bayesian computation approach is convex optimisation, which scales very efficiently to high dimensional…

Computation · Statistics 2016-12-23 Alain Durmus , Eric Moulines , Marcelo Pereyra

We present a series of new open source deep learning algorithms to accelerate Bayesian full waveform point source inversion of microseismic events. Inferring the joint posterior probability distribution of moment tensor components and…

Geophysics · Physics 2021-08-03 A. Spurio Mancini , D. Piras , A. M. G. Ferreira , M. P. Hobson , B. Joachimi

A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is given. The goal is to estimate the posterior probability…

Numerical Analysis · Mathematics 2024-08-22 Leila Taghizadeh , Ansgar Jüngel

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

Machine Learning · Statistics 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

The disconnect between AI-generated molecules with desirable properties and their synthetic feasibility remains a critical bottleneck in computational discovery of drugs and materials. While generative AI has accelerated the proposal of…

Chemical Physics · Physics 2025-11-25 Shuan Chen , Gunwook Nam , Alan Aspuru-Guzik , Yousung Jung

In many domains, we are interested in analyzing the structure of the underlying distribution, e.g., whether one variable is a direct parent of the other. Bayesian model-selection attempts to find the MAP model and use its structure to…

Machine Learning · Computer Science 2013-01-18 Nir Friedman , Daphne Koller

Being able to provide counterfactual interventions - sequences of actions we would have had to take for a desirable outcome to happen - is essential to explain how to change an unfavourable decision by a black-box machine learning model…

Machine Learning · Computer Science 2023-02-08 Giovanni De Toni , Bruno Lepri , Andrea Passerini

Machine learning methods usually depend on internal parameters -- so called hyperparameters -- that need to be optimized for best performance. Such optimization poses a burden on machine learning practitioners, requiring expert knowledge,…

Chemical Physics · Physics 2020-04-03 Annika Stuke , Patrick Rinke , Milica Todorović

We introduce a novel Bayesian phase estimation technique based on adaptive grid refinement method. This method automatically chooses the number particles needed for accurate phase estimation using grid refinement and cell merging strategies…

Quantum Physics · Physics 2020-09-18 Ramakrishna Tipireddy , Nathan Wiebe

Biopharmaceutical manufacturing is a rapidly growing industry with impact in virtually all branches of medicines. Biomanufacturing processes require close monitoring and control, in the presence of complex bioprocess dynamics with many…

Artificial Intelligence · Computer Science 2022-07-26 Hua Zheng , Wei Xie , Ilya O. Ryzhov , Dongming Xie

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

Machine learning-based compact models provide a rapid and efficient approach for estimating device behavior across multiple input parameter variations. In this study, we introduce two reverse-design algorithms that utilize these compact…

Emerging Technologies · Computer Science 2025-08-29 Diego Ferrer , Jack Hutchins , Revanth Koduru , Sumeet Kumar Gupta , Admedullah Aziz

Efficient synthesis recipes are needed both to streamline the manufacturing of complex materials and to accelerate the realization of theoretically predicted materials. Oftentimes the solid-state synthesis of multicomponent oxides is…

Materials Science · Physics 2024-04-10 Jiadong Chen , Samuel R. Cross , Lincoln J. Miara , Jeong-Ju Cho , Yan Wang , Wenhao Sun

A novel procedure is described for accelerating the convergence of Markov chain Monte Carlo computations. The algorithm uses an adaptive bootstrap technique to generate candidate steps in the Markov Chain. It is efficient for symmetric,…

Numerical Analysis · Computer Science 2010-12-13 Greg Kochanski , Burton S. Rosner
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