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This expository article gives an overview of the theory of hypothesis testing of quantum states in finite dimensional Hilbert spaces. Optimal measurement strategy for testing binary quantum hypotheses, which result in minimum error…

量子物理 · 物理学 2018-03-14 J. Prabhu Tej , Syed Raunaq Ahmed , A. R. Usha Devi , A. K. Rajagopal

Gathering labeled data to train well-performing machine learning models is one of the critical challenges in many applications. Active learning aims at reducing the labeling costs by an efficient and effective allocation of costly labeling…

机器学习 · 计算机科学 2020-06-03 Daniel Kottke , Marek Herde , Christoph Sandrock , Denis Huseljic , Georg Krempl , Bernhard Sick

We present a machine learning approach for model-independent new physics searches. The corresponding algorithm is powered by recent large-scale implementations of kernel methods, nonparametric learning algorithms that can approximate any…

高能物理 - 唯象学 · 物理学 2022-10-17 Marco Letizia , Gianvito Losapio , Marco Rando , Gaia Grosso , Andrea Wulzer , Maurizio Pierini , Marco Zanetti , Lorenzo Rosasco

Multiple testing problems are a staple of modern statistical analysis. The fundamental objective of multiple testing procedures is to reject as many false null hypotheses as possible (that is, maximize some notion of power), subject to…

统计方法学 · 统计学 2020-11-30 Saharon Rosset , Ruth Heller , Amichai Painsky , Ehud Aharoni

In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorrelated correlation set up. With a simple linear…

统计理论 · 数学 2020-01-09 Rahul Roy , Subir Kumar Bhandari

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

统计理论 · 数学 2025-04-04 Xinxin Yang , Lilun Du

This position paper takes a broad look at Physics-Enhanced Machine Learning (PEML) -- also known as Scientific Machine Learning -- with particular focus to those PEML strategies developed to tackle dynamical systems' challenges. The need to…

机器学习 · 计算机科学 2024-12-30 Alice Cicirello

Most positive and unlabeled data is subject to selection biases. The labeled examples can, for example, be selected from the positive set because they are easier to obtain or more obviously positive. This paper investigates how learning can…

机器学习 · 计算机科学 2019-07-01 Jessa Bekker , Pieter Robberechts , Jesse Davis

In this work we discuss the impact of nuisance parameters on the effectiveness of machine learning in high-energy physics problems, and provide a review of techniques that allow to include their effect and reduce their impact in the search…

机器学习 · 统计学 2021-01-19 Tommaso Dorigo , Pablo de Castro

The recent advancements in Deep Learning models and techniques have led to significant strides in performance across diverse tasks and modalities. However, while the overall capabilities of models show promising growth, our understanding of…

人工智能 · 计算机科学 2025-04-04 Erik Arakelyan

Multivariate Analysis is an increasingly common tool in experimental high energy physics; however, many of the common approaches were borrowed from other fields. We clarify what the goal of a multivariate algorithm should be for the search…

数据分析、统计与概率 · 物理学 2014-11-18 Kyle S. Cranmer

Standard multiple testing procedures are designed to report a list of discoveries, or suspected false null hypotheses, given the hypotheses' p-values or test scores. Recently there has been a growing interest in enhancing such procedures by…

统计方法学 · 统计学 2025-10-29 Jack Freestone , William Stafford Noble , Uri Keich

Valid statistical inference is challenging when the sample is subject to unknown selection bias. Data integration can be used to correct for selection bias when we have a parallel probability sample from the same population with some common…

统计方法学 · 统计学 2023-07-24 Zhonglei Wang , Shu Yang , Jae Kwang Kim

Given the lack of evidence for new particle discoveries at the Large Hadron Collider (LHC), it is critical to broaden the search program. A variety of model-independent searches have been proposed, adding sensitivity to unexpected signals.…

高能物理 - 唯象学 · 物理学 2020-05-13 Anders Andreassen , Benjamin Nachman , David Shih

Data with multiple functional recordings at each observational unit are increasingly common in various fields including medical imaging and environmental sciences. To conduct inference for such observations, we develop a paired two-sample…

统计方法学 · 统计学 2025-06-16 Colin Decker , Dehan Kong , Stanislav Volgushev

It is frequently of interest to jointly analyze multiple sequences of multiple tests in order to identify simultaneous signals, defined as features tested in multiple studies whose test statistics are non-null in each. In many problems,…

统计方法学 · 统计学 2019-01-16 Sihai Dave Zhao , Yet Tien Nguyen

In particle physics and cosmology, distinguishing subtle new physics signals from established backgrounds is a fundamental and persistent challenge for phenomenologists. This paper discuss a simple and robust statistical framework to…

高能物理 - 唯象学 · 物理学 2026-05-08 S. Ansarifard

Genetic investigations often involve the testing of vast numbers of related hypotheses simultaneously. To control the overall error rate, a substantial penalty is required, making it difficult to detect signals of moderate strength. To…

统计方法学 · 统计学 2010-10-25 Kathryn Roeder , Larry Wasserman

In this paper we consider the problem of multiple testing when the hypotheses are dependent. In most of the existing literature, either Bayesian or non-Bayesian, the decision rules mainly focus on the validity of the test procedure rather…

统计方法学 · 统计学 2018-07-10 Noirrit K. Chandra , Sourabh Bhattacharya

Cross-study replicability is a powerful model evaluation criterion that emphasizes generalizability of predictions. When training cross-study replicable prediction models, it is critical to decide between merging and treating the studies…

机器学习 · 统计学 2022-07-14 Cathy Shyr , Pragya Sur , Giovanni Parmigiani , Prasad Patil