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The Bayesian approach has proved to be a coherent approach to handle ill posed Inverse problems. However, the Bayesian calculations need either an optimization or an integral calculation. The maximum a posteriori (MAP) estimation requires…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari

Machine learning pipeline potentially consists of several stages of operations like data preprocessing, feature engineering and machine learning model training. Each operation has a set of hyper-parameters, which can become irrelevant for…

Machine Learning · Computer Science 2021-05-04 Xudong Sun , Jiali Lin , Bernd Bischl

Linear programming is widely used for decision-making in science, engineering, and operations research, yet in many modern applications the coefficients entering the constraints and objective are not known exactly and must be learned from…

Other Statistics · Statistics 2026-03-09 Debashis Chatterjee

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

Computation · Statistics 2010-11-15 Jason Wyse , Nial Friel

Backward simulation is an approximate inference technique for Bayesian belief networks. It differs from existing simulation methods in that it starts simulation from the known evidence and works backward (i.e., contrary to the direction of…

Artificial Intelligence · Computer Science 2013-02-28 Robert Fung , Brendan del Favero

To solve a machine learning problem, one typically needs to perform data preprocessing, modeling, and hyperparameter tuning, which is known as model selection and hyperparameter optimization.The goal of automated machine learning (AutoML)…

Machine Learning · Computer Science 2019-04-19 Weilin Zhou , Frederic Precioso

A significant challenge in wet lab experiments with current drug design generative models is the trade-off between pharmacological properties and synthesizability. Molecules predicted to have highly desirable properties are often difficult…

Machine Learning · Computer Science 2025-04-04 Songtao Liu , Dandan Zhang , Zhengkai Tu , Hanjun Dai , Peng Liu

Innovation in synthetic biology often still depends on large-scale experimental trial-and-error, domain expertise, and ingenuity. The application of rational design engineering methods promise to make this more efficient, faster, cheaper…

Molecular Networks · Quantitative Biology 2021-08-18 Robyn P. Araujo , Sean T. Vittadello , Michael P. H. Stumpf

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

We consider the problem of Bayesian parameter estimation for deep neural networks, which is important in problem settings where we may have little data, and/ or where we need accurate posterior predictive densities, e.g., for applications…

Machine Learning · Computer Science 2015-11-10 Anoop Korattikara , Vivek Rathod , Kevin Murphy , Max Welling

Bayesian inference in deep neural networks is challenging due to the high-dimensional, strongly multi-modal parameter posterior density landscape. Markov chain Monte Carlo approaches asymptotically recover the true posterior but are…

Reversible logic circuits have been historically motivated by theoretical research in low-power electronics as well as practical improvement of bit-manipulation transforms in cryptography and computer graphics. Recently, reversible circuits…

Emerging Technologies · Computer Science 2013-03-21 Mehdi Saeedi , Igor L. Markov

With larger data at their disposal, scientists are emboldened to tackle complex questions that require sophisticated statistical models. It is not unusual for the latter to have likelihood functions that elude analytical formulations. Even…

Computation · Statistics 2019-05-17 Evgeny Levi , Radu V. Craiu

By analogy with Monte Carlo algorithms, we propose new strategies for design and redesign of small molecule libraries in high-throughput experimentation, or combinatorial chemistry. Several Monte Carlo methods are examined, including…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

Bayesian optimization has been successfully applied throughout Chemical Engineering for the optimization of functions that are expensive-to-evaluate, or where gradients are not easily obtainable. However, domain experts often possess…

Human-Computer Interaction · Computer Science 2024-04-18 Tom Savage , Ehecatl Antonio del Rio Chanona

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

Statistics Theory · Mathematics 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen

Likelihood-free methods, such as approximate Bayesian computation, are powerful tools for practical inference problems with intractable likelihood functions. Markov chain Monte Carlo and sequential Monte Carlo variants of approximate…

Computation · Statistics 2019-02-26 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

The combination of Monte Carlo tree search and neural networks has revolutionized online planning. As neural network approximations are often imperfect, we ask whether uncertainty estimates about the network outputs could be used to improve…

Artificial Intelligence · Computer Science 2024-06-05 Nir Greshler , David Ben Eli , Carmel Rabinovitz , Gabi Guetta , Liran Gispan , Guy Zohar , Aviv Tamar

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams
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