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The Bayes factor, the data-based updating factor from prior to posterior odds, is a principled measure of relative evidence for two competing hypotheses. It is naturally suited to sequential data analysis in settings such as clinical trials…

Methodology · Statistics 2026-01-07 Samuel Pawel , Leonhard Held

This work focuses on the design of experiments of multi-fidelity computer experiments. We consider the autoregressive Gaussian process model proposed by Kennedy and O'Hagan (2000) and the optimal nested design that maximizes the prediction…

Methodology · Statistics 2024-06-03 Gecheng Chen , Rui Tuo

We study sequential state discrimination measurements performed on the same qubit by subsequent observers. Specifically, we focus on the case when the observers perform a kind of a minimum-error type state discriminating measurement where…

Quantum Physics · Physics 2020-05-26 Dov Fields , Árpad Várga , János A. Bergou

In this study, we demonstrate a sequential experimental design for spectral measurements by active learning using parametric models as predictors. In spectral measurements, it is necessary to reduce the measurement time because of sample…

Machine Learning · Computer Science 2023-05-15 Tomohiro Nabika , Kenji Nagata , Shun Katakami , Masaichiro Mizumaki , Masato Okada

A pulse-and-hold technique is used to measure the switching of small critical current Josephson junctions. This technique allows one to achieve a good binary detection and therefore measure switching probabilities. The technique overcomes…

Superconductivity · Physics 2017-08-23 J. Walter , S. Corlevi , D. B. Haviland

Despite extensive experimental and theoretical work over several decades, Schmid-Bulgadaev quantum phase transition remains a subject of debate. Here we revisit this problem by performing systematic experiments on low-frequency…

Superconductivity · Physics 2026-03-24 Diego Subero , Yu-Cheng Chang , Miguel Monteiro , Ze-Yan Chen , Jukka P. Pekola

We consider experiments for comparing treatments using units that are ordered linearly over time or space within blocks. In addition to the block effect, we assume that a trend effect influences the response. The latter is modeled as a…

Statistics Theory · Mathematics 2008-12-18 Dibyen Majumdar , John Stufken

We discuss the relaxation and dephasing rates that result from the control and the measurement setup itself in experiments on Josephson persistent-current qubits. For control and measurement of the qubit state, the qubit is inductively…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Caspar H. van der Wal , F. K. Wilhelm , C. J. P. M. Harmans , J. E. Mooij

The analysis of screening experiments is often done in two stages, starting with factor selection via an analysis under a main effects model. The success of this first stage is influenced by three components: (1) main effect estimators'…

Methodology · Statistics 2024-03-19 Jonathan W. Stallrich , Michael McKibben

Computer experiments are often performed to allow modeling of a response surface of a physical experiment that can be too costly or difficult to run except using a simulator. Running the experiment over a dense grid can be prohibitively…

Applications · Statistics 2009-05-25 Robert B. Gramacy , Herbert K. H. Lee

Computer experiments have become an indispensable alternative to complex physical and engineering experiments. The Kriging model is the most widely used surrogate model, with the core goal of minimizing the discrepancy between the surrogate…

Methodology · Statistics 2026-01-26 Ruonan Zheng , Min-Qian Liu , Yongdao Zhou , Xuan Chen

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

Machine Learning · Computer Science 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

Scaling laws are used to plan multi-million-dollar training runs, but fitting those laws can itself cost millions. In modern large-scale workflows, assembling a sufficiently informative set of pilot experiments is already a major…

Machine Learning · Computer Science 2026-04-27 Sijie Li , Shanda Li , Haowei Lin , Weiwei Sun , Ameet Talwalkar , Yiming Yang

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

Methodology · Statistics 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

We consider sequential hypothesis testing between two quantum states using adaptive and non-adaptive strategies. In this setting, samples of an unknown state are requested sequentially and a decision to either continue or to accept one of…

Quantum Physics · Physics 2023-03-07 Yonglong Li , Vincent Y. F. Tan , Marco Tomamichel

A new type of experiment with joint considerations of quantitative and sequence factors is recently drawing much attention in medical science, bio-engineering, and many other disciplines. The input spaces of such experiments are…

Methodology · Statistics 2025-02-06 Yaping Wang , Sixu Liu , Qian Xiao

This article aims to study efficient/trace optimal designs for crossover trials with multiple responses recorded from each subject in the time periods. A multivariate fixed effects model is proposed with direct and carryover effects…

Methodology · Statistics 2024-06-04 Shubham Niphadkar , Siuli Mukhopadhyay

We have observed coherent time evolution between two quantum states of a superconducting flux qubit comprising three Josephson junctions in a loop. The superposition of the two states carrying opposite macroscopic persistent currents is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Chiorescu , Y. Nakamura , C. J. P. M. Harmans , J. E. Mooij

The standard phenomenological Hamiltonian of a small superconducting Josephson junction in the charge regime (Cooper Pair Box) produces a model of the effective charge qubit with possible applications to quantum information processing. In…

Quantum Physics · Physics 2010-04-29 Robert Alicki

Fluctuations of the current through a tunnel junction are measured using a Josephson junction. The current noise adds to the bias current of the Josephson junction and affects its switching out of the supercurrent branch. The experiment is…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Q. Le Masne , H. Pothier , Norman O. Birge , C. Urbina , D. Esteve