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Stochastic reaction network models are often used to explain and predict the dynamics of gene regulation in single cells. These models usually involve several parameters, such as the kinetic rates of chemical reactions, that are not…

Computation · Statistics 2020-01-07 Thomas A. Catanach , Huy D. Vo , Brian Munsky

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

Applications · Statistics 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

Numerical Analysis · Mathematics 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

Accurate modeling of bacterial biofilm growth is essential for understanding their complex dynamics in biomedical, environmental, and industrial settings. These dynamics are shaped by a variety of environmental influences, including the…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Lukas Fritsch , Hendrik Geisler , Jan Grashorn , Felix Klempt , Meisam Soleimani , Matteo Broggi , Philipp Junker , Michael Beer

A biosignal is a signal that can be continuously measured from human bodies, such as respiratory sounds, heart activity (ECG), brain waves (EEG), etc, based on which, machine learning models have been developed with very promising…

Machine Learning · Computer Science 2022-01-26 Tong Xia , Jing Han , Cecilia Mascolo

Multimodal foundation models offer promising advancements for enhancing driving perception systems, but their high computational and financial costs pose challenges. We develop a method that leverages foundation models to refine predictions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Yunhao Yang , Yuxin Hu , Mao Ye , Zaiwei Zhang , Zhichao Lu , Yi Xu , Ufuk Topcu , Ben Snyder

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

Machine Learning · Statistics 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

Model-based diagnosis reasons backwards from a functional schematic of a system to isolate faults given observations of anomalous behavior. We develop a fully probabilistic approach to model based diagnosis and extend it to support…

Artificial Intelligence · Computer Science 2013-02-28 Sampath Srinivas

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

Many scientific models are composed of multiple discrete components, and scientists often make heuristic decisions about which components to include. Bayesian inference provides a mathematical framework for systematically selecting model…

Machine Learning · Computer Science 2024-05-31 Cornelius Schröder , Jakob H. Macke

Increasing pressures on the environment are generating an ever-increasing need to manage animal and plant populations sustainably, and to protect and rebuild endangered populations. Effective management requires reliable mathematical…

Methodology · Statistics 2009-09-29 Stephen T. Buckland , Ken B. Newman , Carmen Fernández , Len Thomas , John Harwood

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2018-09-19 Ioan Gabriel Bucur , Tom van Bussel , Tom Claassen , Tom Heskes

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

Applications · Statistics 2021-07-28 Kai Zhou , Jiong Tang

Stochastic simulation approaches perform probabilistic inference in Bayesian networks by estimating the probability of an event based on the frequency that the event occurs in a set of simulation trials. This paper describes the evidence…

Artificial Intelligence · Computer Science 2013-04-08 Robert Fung , Kuo-Chu Chang

In this paper we propose a novel method which leverages the uncertainty measures provided by Bayesian deep networks through curriculum learning so that the uncertainty estimates are fed back to the system to resample the training data more…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Sora Iwamoto , Bisser Raytchev , Toru Tamaki , Kazufumi Kaneda

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

Network inference approaches are now widely used in biological applications to probe regulatory relationships between molecular components such as genes or proteins. Many methods have been proposed for this setting, but the connections and…

Applications · Statistics 2014-06-03 Chris. J. Oates , Sach Mukherjee

Neural density estimators have proven remarkably powerful in performing efficient simulation-based Bayesian inference in various research domains. In particular, the BayesFlow framework uses a two-step approach to enable amortized parameter…

Methodology · Statistics 2022-11-10 Marvin Schmitt , Paul-Christian Bürkner , Ullrich Köthe , Stefan T. Radev