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This paper presents a framework for bounding the approximation error in imitation model predictive controllers utilizing neural networks. Leveraging the Lipschitz properties of these neural networks, we derive a bound that guides dataset…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Hendrik Alsmeier , Lukas Theiner , Anton Savchenko , Ali Mesbah , Rolf Findeisen

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

Trustworthy machine learning is driving a large number of ML community works in order to improve ML acceptance and adoption. The main aspect of trustworthy machine learning are the followings: fairness, uncertainty, robustness,…

Machine Learning · Computer Science 2022-07-08 Gregory Scafarto , Nicolas Posocco , Antoine Bonnefoy

Inverse problems are central to a wide range of fields, including healthcare, climate science, and agriculture. They involve the estimation of inputs, typically via iterative optimization, to some known forward model so that it produces a…

Machine Learning · Computer Science 2025-06-24 Sean Memery , Kevin Denamganai , Anna Kapron-King , Kartic Subr

This paper demonstrates many immediate connections between adaptive control and optimization methods commonly employed in machine learning. Starting from common output error formulations, similarities in update law modifications are…

Optimization and Control · Mathematics 2020-04-17 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender , Eugene Lavretsky

In recent years, the state-of-the-art in deep learning has been dominated by very large models that have been pre-trained on vast amounts of data. The paradigm is very simple: investing more computational resources (optimally) leads to…

Machine Learning · Computer Science 2024-05-24 Sotiris Anagnostidis , Gregor Bachmann , Imanol Schlag , Thomas Hofmann

In this paper, the output reachable estimation and safety verification problems for multi-layer perceptron neural networks are addressed. First, a conception called maximum sensitivity in introduced and, for a class of multi-layer…

Machine Learning · Computer Science 2018-02-21 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

We present a brief history of the field of interpretable machine learning (IML), give an overview of state-of-the-art interpretation methods, and discuss challenges. Research in IML has boomed in recent years. As young as the field is, it…

Machine Learning · Statistics 2022-01-24 Christoph Molnar , Giuseppe Casalicchio , Bernd Bischl

Machine Learning has been successfully applied in systems applications such as memory prefetching and caching, where learned models have been shown to outperform heuristics. However, the lack of understanding the inner workings of these…

Machine Learning · Computer Science 2022-02-14 Leon Sixt , Evan Zheran Liu , Marie Pellat , James Wexler , Milad Hashemi , Been Kim , Martin Maas

As a multitude of capable machine learning (ML) models become widely available in forms such as open-source software and public APIs, central questions remain regarding their use in real-world applications, especially in high-stakes…

Machine Learning · Computer Science 2024-06-03 Dimitris Bertsimas , Matthew Peroni

Data-driven optimization uses contextual information and machine learning algorithms to find solutions to decision problems with uncertain parameters. While a vast body of work is dedicated to interpreting machine learning models in the…

Machine Learning · Computer Science 2023-07-21 Alexandre Forel , Axel Parmentier , Thibaut Vidal

Boosted trees is a dominant ML model, exhibiting high accuracy. However, boosted trees are hardly intelligible, and this is a problem whenever they are used in safety-critical applications. Indeed, in such a context, rigorous explanations…

Artificial Intelligence · Computer Science 2022-09-19 Gilles Audemard , Jean-Marie Lagniez , Pierre Marquis , Nicolas Szczepanski

Interpretable machine learning (IML) becomes increasingly important in highly regulated industry sectors related to the health and safety or fundamental rights of human beings. In general, the inherently IML models should be adopted because…

Machine Learning · Computer Science 2021-11-03 Agus Sudjianto , Aijun Zhang

With the perpetual increase of complexity of the state-of-the-art deep neural networks, it becomes a more and more challenging task to maintain their interpretability. Our work aims to evaluate the effects of adversarial training utilized…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Delyan Boychev

Lending decisions are usually made with proprietary models that provide minimally acceptable explanations to users. In a future world without such secrecy, what decision support tools would one want to use for justified lending decisions?…

Machine Learning · Computer Science 2021-06-07 Chaofan Chen , Kangcheng Lin , Cynthia Rudin , Yaron Shaposhnik , Sijia Wang , Tong Wang

Safety assurance is uncompromisable for safety-critical environments with the presence of drastic model uncertainties (e.g., distributional shift), especially with humans in the loop. However, incorporating uncertainty in safe learning will…

Machine Learning · Computer Science 2023-10-05 Alaa Eddine Chriat , Chuangchuang Sun

Despite the growing body of work in interpretable machine learning, it remains unclear how to evaluate different explainability methods without resorting to qualitative assessment and user-studies. While interpretability is an inherently…

Machine Learning · Computer Science 2020-07-16 An-phi Nguyen , María Rodríguez Martínez

Incremental learning suffers from two challenging problems; forgetting of old knowledge and intransigence on learning new knowledge. Prediction by the model incrementally learned with a subset of the dataset are thus uncertain and the…

Machine Learning · Computer Science 2019-02-05 Dahyun Kim , Jihwan Bae , Yeonsik Jo , Jonghyun Choi

Model interpretability is an increasingly important component of practical machine learning. Some of the most common forms of interpretability systems are example-based, local, and global explanations. One of the main challenges in…

Machine Learning · Computer Science 2019-01-08 Gregory Plumb , Denali Molitor , Ameet Talwalkar

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

Robotics · Computer Science 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal