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Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

Systems and Control · Computer Science 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson

Hierarchical time-series forecasting is essential for demand prediction across various industries. While machine learning models have obtained significant accuracy and scalability on such forecasting tasks, the interpretability of their…

Machine Learning · Computer Science 2026-03-09 Harshavardhan Kamarthi , Shangqing Xu , Xinjie Tong , Xingyu Zhou , James Peters , Joseph Czyzyk , B. Aditya Prakash

Surrogate explainers of black-box machine learning predictions are of paramount importance in the field of eXplainable Artificial Intelligence since they can be applied to any type of data (images, text and tabular), are model-agnostic and…

Machine Learning · Computer Science 2019-10-30 Kacper Sokol , Alexander Hepburn , Raul Santos-Rodriguez , Peter Flach

Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

Optimization and Control · Mathematics 2021-06-14 L. Jeff Hong , Xiaowei Zhang

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

Machine learning-based systems are rapidly gaining popularity and in-line with that there has been a huge research surge in the field of explainability to ensure that machine learning models are reliable, fair, and can be held liable for…

Machine Learning · Computer Science 2021-04-12 Rohit Saluja , Avleen Malhi , Samanta Knapič , Kary Främling , Cicek Cavdar

While deep learning has achieved impressive performance in time series forecasting, it becomes increasingly crucial to understand its decision-making process for building trust in high-stakes scenarios. Existing interpretable models often…

Machine Learning · Computer Science 2026-03-02 Ziheng Peng , Shijie Ren , Xinyue Gu , Linxiao Yang , Xiting Wang , Liang Sun

Surrogate models play a crucial role in retrospectively interpreting complex and powerful black box machine learning models via model distillation. This paper focuses on using model-based trees as surrogate models which partition the…

Machine Learning · Statistics 2023-10-06 Julia Herbinger , Susanne Dandl , Fiona K. Ewald , Sofia Loibl , Giuseppe Casalicchio

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial differential equations (PDEs). The surrogate model may be a…

Optimization and Control · Mathematics 2025-12-08 Ruanui Nicholson , Radoslav Vuchkov , Umberto Villa , Noemi Petra

Time series interpretation aims to provide an explanation of what is observed in terms of its underlying processes. The present work is based on the assumption that the common classification-based approaches to time series interpretation…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix

Recent years have seen a growing interest in methods for predicting an unknown variable of interest, such as a subject's diagnosis, from medical images depicting its anatomical-functional effects. Methods based on discriminative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Chiara Mauri , Stefano Cerri , Oula Puonti , Mark Mühlau , Koen Van Leemput

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

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

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

Machine Learning · Computer Science 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

A wide variety of model explanation approaches have been proposed in recent years, all guided by very different rationales and heuristics. In this paper, we take a new route and cast interpretability as a statistical inference problem. We…

Machine Learning · Computer Science 2024-01-01 Hugo Henri Joseph Senetaire , Damien Garreau , Jes Frellsen , Pierre-Alexandre Mattei

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

Recent advances in vision and language (V+L) models have a promising impact in the healthcare field. However, such models struggle to explain how and why a particular decision was made. In addition, model transparency and involvement of…

Machine Learning · Computer Science 2022-09-21 Petrus Werner , Anna Zapaishchykova , Ujjwal Ratan

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

A trustworthy machine learning model should be accurate as well as explainable. Understanding why a model makes a certain decision defines the notion of explainability. While various flavors of explainability have been well-studied in…

The field of health informatics has been profoundly influenced by the development of random forest models, which have led to significant advances in the interpretability of feature interactions. These models are characterized by their…

Machine Learning · Computer Science 2025-06-04 Akshat Dubey , Aleksandar Anžel , Georges Hattab