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Related papers: Quantum-Enhanced Conformal Methods for Multi-Outpu…

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Hybrid quantum-classical models offer a promising route for learning from complex data; however, their application to multi-band remote sensing imagery often relies on generic, data-agnostic quantum circuits that fail to account for…

Quantum Physics · Physics 2026-05-01 Md Aminur Hossain , Ayush V. Patel , Biplab Banerjee

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

In the past decades, most work in the area of data analysis and machine learning was focused on optimizing predictive models and getting better results than what was possible with existing models. To what extent the metrics with which such…

Machine Learning · Statistics 2024-05-06 Nicolas Dewolf

We propose a simple method to estimate the parameters of a continuously measured quantum system, by fitting correlation functions of the measured signal. We demonstrate the approach in simulation, both on toy examples and on a recent…

Quantum Physics · Physics 2024-10-17 Pierre Guilmin , Pierre Rouchon , Antoine Tilloy

Any potential application of quantum computing, once encoded as a quantum circuit, needs to be compiled in order to be executed on a quantum computer. Deciding which qubit technology, which device, which compiler, and which corresponding…

Quantum Physics · Physics 2024-06-25 Nils Quetschlich , Lukas Burgholzer , Robert Wille

We propose a novel modular debiasing technique applicable to any discrete random source, addressing the fundamental challenge of reliably extracting high-quality randomness from inherently imperfect physical processes. The method involves…

Data Analysis, Statistics and Probability · Physics 2025-05-12 Eduardo Gueron

This work focuses on the limitations about the insufficient fitting capability of current quantum machine learning methods, which results from the over-reliance on a single data embedding strategy. We propose a novel quantum machine…

Quantum Physics · Physics 2025-04-01 Siyu Han , Lihan Jia , Lanzhe Guo

Quantum measurement is universal for quantum computation. This universality allows alternative schemes to the traditional three-step organisation of quantum computation: initial state preparation, unitary transformation, measurement. In…

Quantum Physics · Physics 2016-09-08 Simon Perdrix , Philippe Jorrand

Although classical computing has excelled in a wide range of applications, there remain problems that push the limits of its capabilities, especially in fields like cryptography, optimization, and materials science. Quantum computing…

Software Engineering · Computer Science 2025-01-14 Neilson Carlos Leite Ramalho , Erico Augusto da Silva , Higor Amario de Souza , Marcos Lordello Chaim

Conformal prediction provides a distribution-free framework for uncertainty quantification via prediction sets with exact finite-sample coverage. In low dimensions these sets are easy to interpret, but in high-dimensional or structured…

Machine Learning · Statistics 2026-05-08 Trevor Harris

Uncertainty quantification is essential for scientific analysis, as it allows for the evaluation and interpretation of variability and reliability in complex systems and datasets. In their original form, multivariate statistical regression…

Conformal prediction, a post-hoc, distribution-free, finite-sample method of uncertainty quantification that offers formal coverage guarantees under the assumption of data exchangeability. Unfortunately, the resulting uncertainty regions…

Machine Learning · Computer Science 2026-04-21 Nikolaos Bousias , Lars Lindemann , George Pappas

Classical program analysis techniques, such as abstract interpretation and symbolic execution, are essential for ensuring software correctness, optimizing performance, and enabling compiler optimizations. However, these techniques face…

Quantum Physics · Physics 2025-10-14 Yicheng Guang , Pietro Zanotta , Kai Zhou , Yueqi Chen , Ramin Ayanzadeh

We develop conformal prediction methods for constructing valid predictive confidence sets in multiclass and multilabel problems without assumptions on the data generating distribution. A challenge here is that typical conformal prediction…

Machine Learning · Statistics 2020-07-14 Maxime Cauchois , Suyash Gupta , John Duchi

This study introduces a hybrid quantum-classical dispatching framework designed for power systems with high renewable penetration. The proposed method integrates a variational quantum algorithm with classical optimization to provide…

Quantum Physics · Physics 2026-01-27 Fu Zhang , Yuming Zhao

Coverage criteria play a central role in assessing test adequacy in classical software, yet their effectiveness for quantum programs remains poorly understood and largely unexplored. In this paper, we propose six quantum-tailored criteria -…

Quantum Physics · Physics 2026-04-30 Daniel Fortunato , José Campos , Rui Abreu

The development of quantum computers has been the stimulus that enables the realization of Quantum Machine Learning (QML), an area that integrates the calculational framework of quantum mechanics with the adaptive properties of classical…

Computational Engineering, Finance, and Science · Computer Science 2025-09-04 Bhavna Bose , Saurav Verma

Scalable estimation of quantum states with readout errors is a central challenge in large multiqubit systems. Existing overlapping-tomography methods improve scalability by working with local subsystems, but they usually assume known or…

Quantum Physics · Physics 2026-04-17 Amirhossein Taherpour , Alireza Sadeghi , Georgios B. Giannakis

Quantile regression models provide a wide picture of the conditional distributions of the response variable by capturing the effect of the covariates at different quantile levels. In most applications, the parametric form of those…

Methodology · Statistics 2017-11-03 T. Rodrigues , J. -L. Dortet-Bernadet , Y. Fan

Quantum computing offers fundamentally more expressive mechanisms for generative modeling, yet current approaches remain constrained by classical neural components that bottleneck quantum capability and hardware efficiency. We propose the…

Quantum Physics · Physics 2025-10-06 Yihua Li , Jiayi Chen , Tamanna S. Kumavat , Kyriakos Flouris