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Learning tasks play an increasingly prominent role in quantum information and computation. They range from fundamental problems such as state discrimination and metrology over the framework of quantum probably approximately correct (PAC)…

There has been a massive increase in research interest towards applying data driven methods to problems in mechanics. While traditional machine learning (ML) methods have enabled many breakthroughs, they rely on the assumption that the…

Machine Learning · Statistics 2022-09-16 Lingxiao Yuan , Harold S. Park , Emma Lejeune

Quantum machine learning (QML) shows promise for analyzing quantum data. A notable example is the use of quantum convolutional neural networks (QCNNs), implemented as specific types of quantum circuits, to recognize phases of matter. In…

Quantum Physics · Physics 2025-01-07 Chukwudubem Umeano , Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

Out-of-distribution detection is one of the most critical issue in the deployment of machine learning. The data analyst must assure that data in operation should be compliant with the training phase as well as understand if the environment…

Artificial Intelligence · Computer Science 2023-08-22 Giacomo De Bernardi , Sara Narteni , Enrico Cambiaso , Maurizio Mongelli

Modern neural networks are very powerful predictive models, but they are often incapable of recognizing when their predictions may be wrong. Closely related to this is the task of out-of-distribution detection, where a network must…

Machine Learning · Statistics 2018-02-15 Terrance DeVries , Graham W. Taylor

We derive a tight generalization bound for quantum machine learning that is applicable to a wide range of supervised tasks, data, and models. Our bound is both efficiently computable and free of big-O notation. Furthermore, we point out…

Quantum Physics · Physics 2025-10-29 Xin Wang , Rebing Wu

Machine learning models often fail to generalize well under distributional shifts. Understanding and overcoming these failures have led to a research field of Out-of-Distribution (OOD) generalization. Despite being extensively studied for…

The quantification of uncertainty is important for the adoption of machine learning, especially to reject out-of-distribution (OOD) data back to human experts for review. Yet progress has been slow, as a balance must be struck between…

Machine Learning · Computer Science 2022-09-12 Derek Everett , Andre T. Nguyen , Luke E. Richards , Edward Raff

Supervised learning aims to train a classifier under the assumption that training and test data are from the same distribution. To ease the above assumption, researchers have studied a more realistic setting: out-of-distribution (OOD)…

Machine Learning · Computer Science 2024-04-09 Zhen Fang , Yixuan Li , Feng Liu , Bo Han , Jie Lu

Out-of-distribution generalization of machine learning models remains challenging since the models are inherently bound to the training data distribution. This especially manifests, when the learned models rely on spurious correlations.…

Machine Learning · Computer Science 2025-02-27 Martin Surner , Abdelmajid Khelil , Ludwig Bothmann

When neural networks process images which do not resemble the distribution seen during training, so called out-of-distribution images, they often make wrong predictions, and do so too confidently. The capability to detect…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Marc Masana , Idoia Ruiz , Joan Serrat , Joost van de Weijer , Antonio M. Lopez

Using the intuition that out-of-distribution data have lower likelihoods, a common approach for out-of-distribution detection involves estimating the underlying data distribution. Normalizing flows are likelihood-based generative models…

Machine Learning · Computer Science 2025-01-30 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

Deep neural networks often face generalization problems to handle out-of-distribution (OOD) data, and there remains a notable theoretical gap between the contributing factors and their respective impacts. Literature evidence from…

Machine Learning · Computer Science 2024-04-24 Songming Zhang , Yuxiao Luo , Qizhou Wang , Haoang Chi , Xiaofeng Chen , Bo Han , Jinyan Li

Distributed training across several quantum computers could significantly improve the training time and if we could share the learned model, not the data, it could potentially improve the data privacy as the training would happen where the…

Quantum Physics · Physics 2021-03-23 Samuel Yen-Chi Chen , Shinjae Yoo

The paper presents a generalization bound for quantum neural networks based on a dynamical Lie algebra. Using covering numbers derived from a dynamical Lie algebra, the Rademacher complexity is derived to calculate the generalization bound.…

Quantum Physics · Physics 2025-04-15 Hiroshi Ohno

We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bound the generalization error in terms of the number of tasks…

Machine Learning · Computer Science 2025-05-27 Frank Cole , Yulong Lu , Wuzhe Xu , Tianhao Zhang

Out-of-Distribution (OOD) generalization, a cornerstone for building robust machine learning models capable of handling data diverging from the training set's distribution, is an ongoing challenge in deep learning. While significant…

Machine Learning · Computer Science 2023-12-05 Sergey Kolesnikov

Quantum machine learning (QML) is rapidly transitioning from theoretical promise to practical relevance across data-intensive scientific domains. In this Review, we provide a structured overview of recent advances that bridge foundational…

Quantum Physics · Physics 2026-02-25 Vinit Singh , Amandeep Singh Bhatia , Mandeep Kaur Saggi , Manas Sajjan , Sabre Kais

Quantum mechanics fundamentally forbids deterministic discrimination of quantum states and processes. However, the ability to optimally distinguish various classes of quantum data is an important primitive in quantum information science. In…

Quantum Physics · Physics 2021-03-10 Hongxiang Chen , Leonard Wossnig , Simone Severini , Hartmut Neven , Masoud Mohseni

Graph neural networks (GNNs) have exhibited remarkable performance under the assumption that test data comes from the same distribution of training data. However, in real-world scenarios, this assumption may not always be valid.…

Machine Learning · Computer Science 2024-02-15 Kai Guo , Hongzhi Wen , Wei Jin , Yaming Guo , Jiliang Tang , Yi Chang