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Stochastic Petri Nets (SPNs) are an increasingly popular tool of choice for modeling discrete-event dynamics in areas such as epidemiology and systems biology, yet their parameter estimation remains challenging in general and in particular…

Machine Learning · Computer Science 2025-12-09 Bright Kwaku Manu , Trevor Reckell , Beckett Sterner , Petar Jevtic

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

We consider the problem of efficiently performing simulation and inference for stochastic kinetic models. Whilst it is possible to work directly with the resulting Markov jump process, computational cost can be prohibitive for networks of…

Computation · Statistics 2015-06-18 Chris Sherlock , Andrew Golightly , Colin Gillespie

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

Machine Learning · Statistics 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

Automatic machine learning of empirical models from experimental data has recently become possible as a result of increased availability of computational power and dedicated algorithms. Despite the successes of non-parametric inference and…

Statistical Mechanics · Physics 2024-06-04 Yunfei Huang , Youssef Mabrouk , Gerhard Gompper , Benedikt Sabass

Active learning seeks to reduce the amount of data required to fit the parameters of a model, thus forming an important class of techniques in modern machine learning. However, past work on active learning has largely overlooked latent…

Machine Learning · Computer Science 2024-02-20 Aditi Jha , Zoe C. Ashwood , Jonathan W. Pillow

We study the task of spatio-temporal extrapolation that generates data at target locations from surrounding contexts in a graph. This task is crucial as sensors that collect data are sparsely deployed, resulting in a lack of fine-grained…

Machine Learning · Computer Science 2023-05-31 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Hongyang Chen , Yu Zheng , Roger Zimmermann

Simulating the time evolution of physical systems is pivotal in many scientific and engineering problems. An open challenge in simulating such systems is their multi-resolution dynamics: a small fraction of the system is extremely dynamic,…

Machine Learning · Computer Science 2023-05-03 Tailin Wu , Takashi Maruyama , Qingqing Zhao , Gordon Wetzstein , Jure Leskovec

Surrogate models - also called emulators - are widely used to facilitate Bayesian inference in settings where computational costs preclude the use of standard posterior inference algorithms. Their deployment is now standard practice across…

Methodology · Statistics 2026-03-17 Andrew Gerard Roberts , Michael C. Dietze , Jonathan H. Huggins

Evolutionary algorithms are increasingly recognised as a viable computational approach for the automated optimisation of deep neural networks (DNNs) within artificial intelligence. This method extends to the training of DNNs, an approach…

Neural and Evolutionary Computing · Computer Science 2024-03-29 Fergal Stapleton , Brendan Cody-Kenny , Edgar Galván

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Active learning in computer experiments aims at allocating resources in an intelligent manner based on the already observed data to satisfy certain objectives such as emulating or optimizing a computationally expensive function. There are…

Methodology · Statistics 2025-01-24 Difan Song , V. Roshan Joseph

Deep Gaussian Processes (DGPs) are powerful surrogate models known for their flexibility and ability to capture complex functions. However, extending them to multi-output settings remains challenging due to the need for efficient dependency…

Machine Learning · Statistics 2025-08-25 Chun-Yi Chang , Chih-Li Sung

Two-stage stochastic programming (2SP) offers a basic framework for modelling decision-making under uncertainty, yet scalability remains a challenge due to the computational complexity of recourse function evaluation. Existing…

Optimization and Control · Mathematics 2026-04-24 Yu Liu , Fabricio Oliveira , Jan Kronqvist

Re-training a deep learning model each time a single data point receives a new label is impractical due to the inherent complexity of the training process. Consequently, existing active learning (AL) algorithms tend to adopt a batch-based…

Machine Learning · Computer Science 2023-12-19 Yunpyo An , Suyeong Park , Kwang In Kim

Most practical engineering design problems involve nonlinear spatio-temporal dynamical systems. Multi-physics simulations are often performed to capture the fine spatio-temporal scales which govern the evolution of these systems. However,…

Machine Learning · Computer Science 2026-04-17 Sudeepta Mondal , Soumalya Sarkar

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

Evolutionary Algorithms (EAs) play a crucial role in the architectural configuration and training of Artificial Deep Neural Networks (DNNs), a process known as neuroevolution. However, neuroevolution is hindered by its inherent…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Fergal Stapleton , Edgar Galván

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

When repeated evaluations for varying parameter configurations of a high-fidelity physical model are required, surrogate modeling techniques based on model order reduction are desired. In absence of the governing equations describing the…

Machine Learning · Computer Science 2023-06-13 Harshit Kapadia , Lihong Feng , Peter Benner