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Related papers: A Bayesian algorithm for retrosynthesis

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Dynamic Bayesian predictive synthesis is a formal approach to coherently synthesizing multiple predictive distributions into a single distribution. In sequential analysis, the computation of the synthesized predictive distribution has…

Methodology · Statistics 2023-08-31 Riku Masuda , Kaoru Irie

Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

Machine Learning · Computer Science 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

Methodology · Statistics 2019-05-02 Antony Overstall , David Woods , Ben Parker

We propose a sequential Monte Carlo (SMC) method to efficiently and accurately compute cut-Bayesian posterior quantities of interest, variations of standard Bayesian approaches constructed primarily to account for model misspecification. We…

Computation · Statistics 2024-11-13 Joseph Mathews , Giri Gopalan , James Gattiker , Sean Smith , Devin Francom

Closed-form, interpretable mathematical models have been instrumental for advancing our understanding of the world; with the data revolution, we may now be in a position to uncover new such models for many systems from physics to the social…

Reliably predicting the products of chemical reactions presents a fundamental challenge in synthetic chemistry. Existing machine learning approaches typically produce a reaction product by sequentially forming its subparts or intermediate…

Chemical Physics · Physics 2021-06-16 Hangrui Bi , Hengyi Wang , Chence Shi , Connor Coley , Jian Tang , Hongyu Guo

Retrosynthesis, which predicts the reactants of a given target molecule, is an essential task for drug discovery. In recent years, the machine learing based retrosynthesis methods have achieved promising results. In this work, we introduce…

Artificial Intelligence · Computer Science 2023-06-08 Shufang Xie , Rui Yan , Junliang Guo , Yingce Xia , Lijun Wu , Tao Qin

A method based on Bayesian neural networks and genetic algorithm is proposed to control the fermentation process. The relationship between input and output variables is modelled using Bayesian neural network that is trained using hybrid…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

Machine Learning · Statistics 2024-05-28 Sharmila Karumuri , Ilias Bilionis

While Robert and Rousseau (2010) addressed the foundational aspects of Bayesian analysis, the current chapter details its practical aspects through a review of the computational methods available for approximating Bayesian procedures.…

Computation · Statistics 2010-02-25 Christian P. Robert , Jean-Michel Marin

Gathering labeled data to train well-performing machine learning models is one of the critical challenges in many applications. Active learning aims at reducing the labeling costs by an efficient and effective allocation of costly labeling…

Machine Learning · Computer Science 2020-06-03 Daniel Kottke , Marek Herde , Christoph Sandrock , Denis Huseljic , Georg Krempl , Bernhard Sick

We consider the inverse reinforcement learning problem, that is, the problem of learning from, and then predicting or mimicking a controller based on state/action data. We propose a statistical model for such data, derived from the…

Machine Learning · Statistics 2012-11-27 Sumeetpal S. Singh , Nicolas Chopin , Nick Whiteley

Retrosynthetic planning is a fundamental task in organic chemistry, yet remains challenging due to its combinatorial complexity. To address this, conventional approaches typically rely on hybrid frameworks that combine single-step…

Artificial Intelligence · Computer Science 2026-04-01 Chenyang Zuo , Siqi Fan , Yizhen Luo , Zaiqing Nie

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

Retrosynthesis is a problem to infer reactant compounds to synthesize a given product compound through chemical reactions. Recent studies on retrosynthesis focus on proposing more sophisticated prediction models, but the dataset to feed the…

Machine Learning · Computer Science 2020-10-05 Katsuhiko Ishiguro , Kazuya Ujihara , Ryohto Sawada , Hirotaka Akita , Masaaki Kotera

Decision tree learning is a popular approach for classification and regression in machine learning and statistics, and Bayesian formulations---which introduce a prior distribution over decision trees, and formulate learning as posterior…

Machine Learning · Statistics 2013-08-26 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

Methodology · Statistics 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

Computation · Statistics 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

Estimating the predictive uncertainty of a Bayesian learning model is critical in various decision-making problems, e.g., reinforcement learning, detecting adversarial attack, self-driving car. As the model posterior is almost always…

Machine Learning · Computer Science 2021-02-16 Yufei Cui , Wuguannan Yao , Qiao Li , Antoni B. Chan , Chun Jason Xue