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The software development process for embedded systems is getting faster and faster, which generally incurs an increase in the associated complexity. As a consequence, consumer electronics companies usually invest a lot of resources in fast…

Logic in Computer Science · Computer Science 2015-09-08 Felipe R. M. Sousa , Lucas C. Cordeiro , Eddie B. de Lima Filho

Ridge regression (RR) is an important machine learning technique which introduces a regularization hyperparameter $\alpha$ to ordinary multiple linear regression for analyzing data suffering from multicollinearity. In this paper, we present…

Quantum Physics · Physics 2021-08-03 Chao-Hua Yu , Fei Gao , Qiao-Yan Wen

Permutation methods are commonly used to test significance of regressors of interest in general linear models (GLMs) for functional (image) data sets, in particular for neuroimaging applications as they rely on mild assumptions. Permutation…

Methodology · Statistics 2021-11-23 Tomas Mrkvicka , Mari Myllymaki , Mikko Kuronen , Naveen Naidu Narisetty

Adversarial noise attacks present a significant threat to quantum machine learning (QML) models, similar to their classical counterparts. This is especially true in the current Noisy Intermediate-Scale Quantum era, where noise is…

Quantum Physics · Physics 2024-07-19 Yanling Lin , Ji Guan , Wang Fang , Mingsheng Ying , Zhaofeng Su

Many areas of science rely on simulators that implicitly encode intractable likelihood functions of complex systems. Classical statistical methods are poorly suited for these so-called likelihood-free inference (LFI) settings, especially…

Machine Learning · Statistics 2024-11-28 Niccolò Dalmasso , Luca Masserano , David Zhao , Rafael Izbicki , Ann B. Lee

Quantum machine learning (QML) has emerged as a promising domain to leverage the computational capabilities of quantum systems to solve complex classification tasks. In this work, we present the first comprehensive QML study by benchmarking…

Quantum Physics · Physics 2025-03-21 Gurinder Singh , Hongni Jin , Kenneth M. Merz

Quantum kernel methods have been proposed as a promising approach for leveraging near-term quantum computers for supervised learning, yet rigorous benchmarks against strong classical baselines remain scarce. We present a comprehensive…

Quantum Physics · Physics 2026-04-22 Siavash Kakavand , Christoph Strohmeyer , Michael Schlotter

Two-sample tests have been extensively employed in various scientific fields and machine learning such as evaluation on the effectiveness of drugs and A/B testing on different marketing strategies to discriminate whether two sets of samples…

Quantum Physics · Physics 2025-11-27 Yu Terada , Yugo Ogio , Ken Arai , Hiroyuki Tezuka , Yu Tanaka

Modern machine learning models are highly expressive but notoriously difficult to analyze statistically. In particular, while black-box predictors can achieve strong empirical performance, they rarely provide valid hypothesis tests or…

Machine Learning · Computer Science 2026-03-10 Mohamed Salem

In this paper, we study the problem of learning one-dimensional Gaussian mixture models (GMMs) with a specific focus on estimating both the model order and the mixing distribution from independent and identically distributed (i.i.d.)…

Machine Learning · Statistics 2026-02-24 Xinyu Liu , Hai Zhang

Quantum computers provide a super-exponential speedup for performing a Fourier transform over the symmetric group, an ability for which practical use cases have remained elusive so far. In this work, we leverage this ability to unlock…

Quantum Physics · Physics 2026-03-25 Vasilis Belis , Giulio Crognaletti , Matteo Argenton , Michele Grossi , Maria Schuld

In this contribution we generalize the classical Fourier Mellin transform [S. Dorrode and F. Ghorbel, Robust and efficient Fourier-Mellin transform approximations for gray-level image reconstruction and complete invariant description,…

Rings and Algebras · Mathematics 2013-06-10 Eckhard Hitzer

Frequent Subgraph Mining (FSM) is the process of identifying common subgraph patterns that surpass a predefined frequency threshold. While FSM is widely applicable in fields like bioinformatics, chemical analysis, and social network anomaly…

Databases · Computer Science 2024-04-03 Akshit Sharma , Sam Reinher , Dinesh Mehta , Bo Wu

Evaluating model robustness is critical when developing trustworthy models not only to gain deeper understanding of model behavior, strengths, and weaknesses, but also to develop future models that are generalizable and robust across…

Computation and Language · Computer Science 2021-04-27 Maria Glenski , Ellyn Ayton , Robin Cosbey , Dustin Arendt , Svitlana Volkova

The feature vector mapping used to represent chemical systems is a key factor governing the superior data-efficiency of kernel based quantum machine learning (QML) models applicable throughout chemical compound space. Unfortunately, the…

Chemical Physics · Physics 2023-08-02 Danish Khan , Stefan Heinen , O. Anatole von Lilienfeld

An important challenge with the current generation of noisy, large-scale quantum computers is the question of validation. Does the hardware generate correct answers? If not, what are the errors? This issue is often combined with questions…

Quantum Physics · Physics 2025-07-11 Alexander S. Dellios , Margaret D. Reid , Peter D. Drummond

This paper introduces a comprehensive open-source framework for developing correlation kernels, with a particular focus on user-defined and composition of kernels for surrogate modeling. By advancing kernel-based modeling techniques, we…

Machine Learning · Computer Science 2025-07-15 Nicolas Gonel , Paul Saves , Joseph Morlier

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

We present FRMT, a new dataset and evaluation benchmark for Few-shot Region-aware Machine Translation, a type of style-targeted translation. The dataset consists of professional translations from English into two regional variants each of…

Computation and Language · Computer Science 2023-10-04 Parker Riley , Timothy Dozat , Jan A. Botha , Xavier Garcia , Dan Garrette , Jason Riesa , Orhan Firat , Noah Constant

Recursive self-modification is increasingly central in AutoML, neural architecture search, and adaptive optimization, yet no existing framework ensures that such changes are made safely. Godel machines offer a principled safeguard by…

Machine Learning · Computer Science 2025-10-14 Xuening Wu , Shenqin Yin , Yanlan Kang , Xinhang Zhang , Qianya Xu , Zeping Chen , Wenqiang Zhang