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A methodology for handling block-to-block coupling of nonconforming, multiblock summation-by-parts finite difference methods is proposed. The coupling is based on the construction of projection operators that move a finite difference grid…

Numerical Analysis · Mathematics 2021-06-03 Jeremy E. Kozdon , Lucas C. Wilcox

Power-enhanced tests with high-dimensional data have received growing attention in theoretical and applied statistics in recent years. Existing tests possess their respective high-power regions, and we may lack prior knowledge about the…

Methodology · Statistics 2021-10-01 Xiufan Yu , Danning Li , Lingzhou Xue , Runze Li

Gradient boosting decision tree (GBDT) is an ensemble machine learning algorithm, which is widely used in industry, due to its good performance and easy interpretation. Due to the problem of data isolation and the requirement of privacy,…

Machine Learning · Computer Science 2024-06-21 Tao Fan , Weijing Chen , Guoqiang Ma , Yan Kang , Lixin Fan , Qiang Yang

There has been a misconception that only one type of error rate control is necessary in clinical trials, leading to debates over whether to prioritize Familywise Error Rate (FWER) or False Discovery Rate (FDR). This misconception has led to…

Methodology · Statistics 2026-03-26 Xinping Cui , Emily Ouyang , Yi Liu , Jingjing Yan Schneider , Hong Tian , Bushi Wang , Jason C. Hsu

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

Logic in Computer Science · Computer Science 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

Quantum machine learning is among the most exciting potential applications of quantum computing. However, the vulnerability of quantum information to environmental noises and the consequent high cost for realizing fault tolerance has…

The stochastic block model is a popular tool for studying community structures in network data. We develop a goodness-of-fit test for the stochastic block model. The test statistic is based on the largest singular value of a residual matrix…

Statistics Theory · Mathematics 2016-01-22 Jing Lei

Quantum programs must be reliable to ensure trustworthy results, yet debugging them is notoriously challenging due to quantum-specific faults like gate misimplementations and hardware noise, as well as their inherently probabilistic nature.…

Quantum Physics · Physics 2025-06-24 Noah H. Oldfield , Christoph Laaber , Shaukat Ali

Platform trials evaluate multiple experimental treatments under a single master protocol, where new treatment arms are added to the trial over time. Given the multiple treatment comparisons, there is the potential for inflation of the…

Methodology · Statistics 2022-02-09 David S. Robertson , James M. S. Wason , Franz König , Martin Posch , Thomas Jaki

Consider the problem of minimizing the sum of a smooth convex function and a separable nonsmooth convex function subject to linear coupling constraints. Problems of this form arise in many contemporary applications including signal…

Optimization and Control · Mathematics 2014-01-29 Mingyi Hong , Tsung-Hui Chang , Xiangfeng Wang , Meisam Razaviyayn , Shiqian Ma , Zhi-Quan Luo

Boolean expressions are major focus of specifications and they are very much prone to introduction of faults, this survey presents various fault based testing techniques. It identifies that the techniques differ in their fault detection…

Software Engineering · Computer Science 2012-02-23 Usha Badhera , G. N. Purohit , S. Taruna

Correlated observations are ubiquitous phenomena in a plethora of scientific avenues. Tackling this dependence among test statistics has been one of the pertinent problems in simultaneous inference. However, very little literature exists…

Statistics Theory · Mathematics 2024-11-20 Monitirtha Dey

Connecting multiple smaller qubit modules by generating high-fidelity entangled states is a promising path for scaling quantum computing hardware. The performance of such a modular quantum computer is highly dependent on the quality and…

We consider the asymptotic power performance under local alternatives of the Cochran-Mantel-Haenszel test. Our setting is non-traditional: we investigate randomized experiments that assign subjects via Fisher's blocking design. We show that…

Methodology · Statistics 2025-07-14 David Azriel , Adam Kapelner , Abba M. Krieger

We propose an algorithm to enhance certified robustness of a deep model ensemble by optimally weighting each base model. Unlike previous works on using ensembles to empirically improve robustness, our algorithm is based on optimizing a…

Machine Learning · Statistics 2019-11-01 Huan Zhang , Minhao Cheng , Cho-Jui Hsieh

Epigenetics plays a crucial role in understanding the underlying molecular processes of several types of cancer as well as the determination of innovative therapeutic tools. To investigate the complex interplay between genetics and…

Methodology · Statistics 2024-08-29 Iris Ivy Gauran , Patrick Wincy Reyes , Erniel Barrios , Hernando Ombao

Most concurrent blockchain systems rely heavily on the Proof-of-Work (PoW) or Proof-of-Stake (PoS) mechanisms for decentralized consensus and security assurance. However, the substantial energy expenditure stemming from computationally…

Cryptography and Security · Computer Science 2026-05-05 Zishuo Zhao , Zhixuan Fang , Xuechao Wang , Xi Chen , Hongxu Su , Haibo Xiao , Yuan Zhou

Fault tolerance is a major concern in distributed computational settings. In the classic master-worker setting, a server (the master) needs to perform some heavy computation which it may distribute to $m$ other machines (workers) in order…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-30 Keren Censor-Hillel , Yuka Machino , Pedro Soto

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

A common method to reduce the uncertainty of causal inferences from experiments is to assign treatments in fixed proportions within groups of similar units: blocking. Previous results indicate that one can expect substantial reductions in…

Methodology · Statistics 2015-08-31 Fredrik Sävje