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A key drawback of the current generation of artificial decision-makers is that they do not adapt well to changes in unexpected situations. This paper addresses the situation in which an AI for aerial dog fighting, with tunable parameters…

Machine Learning · Statistics 2016-12-14 Brett Israelsen , Nisar Ahmed

Bayesian inference usually requires running potentially costly inference procedures separately for every new observation. In contrast, the idea of amortized Bayesian inference is to initially invest computational cost in training an…

Machine Learning · Computer Science 2023-05-25 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Physical systems can often be described via a continuous-time dynamical system. In practice, the true system is often unknown and has to be learned from measurement data. Since data is typically collected in discrete time, e.g. by sensors,…

Machine Learning · Computer Science 2024-01-31 Katharina Ensinger , Nicholas Tagliapietra , Sebastian Ziesche , Sebastian Trimpe

We propose a graphical model for representing networks of stochastic processes, the minimal generative model graph. It is based on reduced factorizations of the joint distribution over time. We show that under appropriate conditions, it is…

Information Theory · Computer Science 2015-03-13 Christopher J. Quinn , Negar Kiyavash , Todd P. Coleman

Systems with both quantitative and qualitative responses are widely encountered in many applications. Design of experiment methods are needed when experiments are conducted to study such systems. Classic experimental design methods are…

Methodology · Statistics 2023-04-24 Lulu Kang , Xinwei Deng , Ran Jin

Most simulation schemes for partial differential equations (PDEs) focus on minimizing a simple error norm of a discretized version of a field. This paper takes a fundamentally different approach; the discretized field is interpreted as data…

Methodology · Statistics 2018-04-18 Reimar H. Leike , Torsten A. Enßlin

In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

Computational Physics · Physics 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

The ability to design effective experiments is crucial for obtaining data that can substantially reduce the uncertainty in the predictions made using computational models. An optimal experimental design (OED) refers to the choice of a…

Methodology · Statistics 2025-06-17 Troy Butler , John Jakeman , Michael Pilosov , Scott Walsh , Timothy Wildey

In networked dynamical systems, inferring governing parameters is crucial for predicting nodal dynamics, such as gene expression levels, species abundance, or population density. While many parameter estimation techniques rely on…

Adaptation and Self-Organizing Systems · Physics 2025-03-25 Yanna Ding , Malik Magdon-Ismail , Jianxi Gao

The use of surrogate models instead of computationally expensive simulation codes is very convenient in engineering. Roughly speaking, there are two kinds of surrogate models: the deterministic and the probabilistic ones. These last are…

Applications · Statistics 2015-12-24 Malek Ben Salem , Olivier Roustant , Fabrice Gamboa , Lionel Tomaso

Concurrent multiscale finite element analysis (FE2) is a powerful approach for high-fidelity modeling of materials for which a suitable macroscopic constitutive model is not available. However, the extreme computational effort associated…

Numerical Analysis · Mathematics 2020-07-16 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

We study the problem of causal structure learning from a combination of observational and interventional data generated by a linear non-Gaussian structural equation model that might contain cycles. Recent results show that using mere…

Machine Learning · Statistics 2025-12-05 Ehsan Sharifian , Saber Salehkaleybar , Negar Kiyavash

This work deals with parallel optimization of expensive objective functions which are modeled as sample realizations of Gaussian processes. The study is formalized as a Bayesian optimization problem, or continuous multi-armed bandit…

Machine Learning · Statistics 2019-09-04 Sébastien Marmin , Clément Chevalier , David Ginsbourger

Problem decomposition plays a vital role when applying cooperative coevolution (CC) to large scale global optimization problems. However, most learning-based decomposition algorithms either only apply to additively separable problems or…

Neural and Evolutionary Computing · Computer Science 2021-01-20 An Chen , Zhigang Ren , Muyi Wang , Yongsheng Liang , Hanqing Liu , Wenhao Du

We propose a new procedure named PASOA, for Bayesian experimental design, that performs sequential design optimization by simultaneously providing accurate estimates of successive posterior distributions for parameter inference. The…

Machine Learning · Statistics 2024-10-16 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

The design space of dynamic multibody systems (MBSs), particularly those with flexible components, is considerably large. Consequently, having a means to efficiently explore this space and find the optimum solution within a feasible…

Optimization and Control · Mathematics 2025-01-08 Mehran Ebrahimi , Adrian Butscher , Hyunmin Cheong , Francesco Iorio

Sequential Bayesian optimal experimental design (SBOED) for PDE-governed inverse problems is computationally challenging, especially for infinite-dimensional random field parameters. High-fidelity approaches require repeated forward and…

Optimization and Control · Mathematics 2026-01-12 Kaichen Shen , Peng Chen

Linear systems occur throughout engineering and the sciences, most notably as differential equations. In many cases the forcing function for the system is unknown, and interest lies in using noisy observations of the system to infer the…

A surrogate endpoint S in a clinical trial is an outcome that may be measured earlier or more easily than the true outcome of interest T. In this work, we extend causal inference approaches to validate such a surrogate using potential…

Methodology · Statistics 2022-02-04 Emily Roberts , Michael Elliott , Jeremy M. G. Taylor

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

Machine Learning · Computer Science 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos
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