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Quantum machine learning leverages quantum computing to enhance accuracy and reduce model complexity compared to classical approaches, promising significant advancements in various fields. Within this domain, quantum reinforcement learning…

Quantum Physics · Physics 2024-10-29 Nico Meyer , Julian Berberich , Christopher Mutschler , Daniel D. Scherer

Constructing valid prediction intervals rather than point estimates is a well-established approach for uncertainty quantification in the regression setting. Models equipped with this capacity output an interval of values in which the ground…

Machine Learning · Statistics 2025-02-07 Thomas Pouplin , Alan Jeffares , Nabeel Seedat , Mihaela van der Schaar

This paper presents a distributionally robust Q-Learning algorithm (DrQ) which leverages Wasserstein ambiguity sets to provide idealistic probabilistic out-of-sample safety guarantees during online learning. First, we follow past work by…

Machine Learning · Computer Science 2021-10-27 Aaron Kandel , Scott J. Moura

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

Machine Learning · Computer Science 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang

We propose regularization strategies for learning discriminative models that are robust to in-class variations of the input data. We use the Wasserstein-2 geometry to capture semantically meaningful neighborhoods in the space of images, and…

Machine Learning · Computer Science 2019-09-17 Alex Tong Lin , Yonatan Dukler , Wuchen Li , Guido Montufar

We study the problem of training and certifying adversarially robust quantized neural networks (QNNs). Quantization is a technique for making neural networks more efficient by running them using low-bit integer arithmetic and is therefore…

Machine Learning · Computer Science 2022-11-30 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger , Daniela Rus

Instability and variability of Deep Reinforcement Learning (DRL) algorithms tend to adversely affect their performance. Averaged-DQN is a simple extension to the DQN algorithm, based on averaging previously learned Q-values estimates, which…

Artificial Intelligence · Computer Science 2017-03-13 Oron Anschel , Nir Baram , Nahum Shimkin

We study distributionally robust quantile regression using type-$p$ Wasserstein ambiguity sets. We derive a closed-form expression for the worst-case quantile regression loss under general $p$-Wasserstein uncertainty. We further give a…

Statistics Theory · Mathematics 2026-03-17 Chunxu Zhang , Tiantian Mao , Ruodu Wang

The success of autoregressive models largely depends on the effectiveness of vector quantization, a technique that discretizes continuous features by mapping them to the nearest code vectors within a learnable codebook. Two critical issues…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Xianghong Fang , Litao Guo , Hengchao Chen , Yuxuan Zhang , XiaofanXia , Dingjie Song , Yexin Liu , Hao Wang , Harry Yang , Yuan Yuan , Qiang Sun

Quantile normalisation is a popular normalisation method for data subject to unwanted variations such as images, speech, or genomic data. It applies a monotonic transformation to the feature values of each sample to ensure that after…

Machine Learning · Statistics 2017-06-02 Marine Le Morvan , Jean-Philippe Vert

Deep Reinforcement Learning (RL) has considerably advanced over the past decade. At the same time, state-of-the-art RL algorithms require a large computational budget in terms of training time to converge. Recent work has started to…

The quantum internet holds transformative potential for global communication by harnessing the principles of quantum information processing. Despite significant advancements in quantum communication technologies, the efficient distribution…

Quantum Physics · Physics 2025-03-06 Lamarana Jallow , Majid Iqbal Khan

Quantum neural networks (QNNs) provide expressive probabilistic models by leveraging quantum superposition and entanglement, yet their practical training remains challenging due to highly oscillatory loss landscapes and noise inherent to…

Quantum Physics · Physics 2026-01-26 Jaemin Seo

The Whittle index policy is a heuristic that has shown remarkably good performance (with guaranteed asymptotic optimality) when applied to the class of problems known as Restless Multi-Armed Bandit Problems (RMABPs). In this paper we…

Artificial Intelligence · Computer Science 2024-06-05 Francisco Robledo Relaño , Vivek Borkar , Urtzi Ayesta , Konstantin Avrachenkov

Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistical analyses have proved that generalization guarantees of…

Optimization and Control · Mathematics 2025-01-28 Tam Le , Jérôme Malick

Learning an effective representation for high-dimensional data is a challenging problem in reinforcement learning (RL). Deep reinforcement learning (DRL) such as Deep Q networks (DQN) achieves remarkable success in computer games by…

Machine Learning · Computer Science 2019-05-10 Borislav Mavrin , Hengshuai Yao , Linglong Kong

Quantifying uncertainty about a policy's long-term performance is important to solve sequential decision-making tasks. We study the problem from a model-based Bayesian reinforcement learning perspective, where the goal is to learn the…

Machine Learning · Computer Science 2024-09-04 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

Although distributional reinforcement learning (DRL) has been widely examined in the past few years, there are two open questions people are still trying to address. One is how to ensure the validity of the learned quantile function, the…

Machine Learning · Computer Science 2021-05-17 Fan Zhou , Zhoufan Zhu , Qi Kuang , Liwen Zhang

Although distributional reinforcement learning (DRL) has been widely examined in the past few years, very few studies investigate the validity of the obtained Q-function estimator in the distributional setting. To fully understand how the…

Machine Learning · Computer Science 2023-08-01 Qi Kuang , Zhoufan Zhu , Liwen Zhang , Fan Zhou

Robustness studies of black-box models is recognized as a necessary task for numerical models based on structural equations and predictive models learned from data. These studies must assess the model's robustness to possible…

Optimization and Control · Mathematics 2022-09-26 Marouane Il Idrissi , Nicolas Bousquet , Fabrice Gamboa , Bertrand Iooss , Jean-Michel Loubes