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Understanding Statistical Hypothesis Testing: The Logic of Statistical Inference
Machine Learning and Knowledge Extraction, 2019 Statistical hypothesis testing is among the most misunderstood quantitative analysis methods from data science. Despite its seeming simplicity, it has complex interdependencies between its procedural components.
F. Emmert-Streib, M. Dehmer
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Hypothesis testing under maximal leakage privacy constraints [PDF]
International Symposium on Information Theory, 2017 The problem of publishing privacy-guaranteed data for hypothesis testing is studied using the maximal leakage (ML) as a metric for privacy and the type-II error exponent as the utility metric. The optimal mechanism (random mapping) that maximizes utility
Jiachun Liao +3 more
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Distributed Hypothesis Testing over Noisy Broadcast Channels
Information, 2021 This paper studies binary hypothesis testing with a single sensor that communicates with two decision centers over a memoryless broadcast channel. The main focus lies on the tradeoff between the two type-II error exponents achievable at the two decision ...
Sadaf Salehkalaibar, Michèle Wigger
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Testing the SOC hypothesis for the magnetosphere [PDF]
, 2000 As noted by Chang, the hypothesis of Self-Organised Criticality provides a theoretical framework in which the low dimensionality seen in magnetospheric indices can be combined with the scaling seen in their power spectra and the recently-observed plasma ...
Angelopoulos +64 more
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On Composite Quantum Hypothesis Testing [PDF]
Communications in Mathematical Physics, 2017 We extend quantum Stein’s lemma in asymmetric quantum hypothesis testing to composite null and alternative hypotheses. As our main result, we show that the asymptotic error exponent for testing convex combinations of quantum states ρ⊗n\documentclass[12pt]
M. Berta, F. Brandão, Christoph Hirche
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Worst-case Quantum Hypothesis Testing with Separable Measurements [PDF]
Quantum, 2020 For any pair of quantum states (the hypotheses), the task of binary quantum hypotheses testing is to derive the tradeoff relation between the probability $p_{01}$ of rejecting the null hypothesis and $p_{10}$ of accepting the alternative hypothesis.
Le Phuc Thinh +2 more
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Hypothesis Testing Under Mutual Information Privacy Constraints in the High Privacy Regime [PDF]
IEEE Transactions on Information Forensics and Security, 2017 Hypothesis testing is a statistical inference framework for determining the true distribution among a set of possible distributions for a given data set. Privacy restrictions may require the curator of the data or the respondents themselves to share data
Jiachun Liao +3 more
semanticscholar +1 more source
Active sequential hypothesis testing
, 2013 Consider a decision maker who is responsible to dynamically collect observations so as to enhance his information about an underlying phenomena of interest in a speedy manner while accounting for the penalty of wrong declaration.
Javidi, Tara, Naghshvar, Mohammad
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Universal Outlier Hypothesis Testing
, 2014 Outlier hypothesis testing is studied in a universal setting. Multiple sequences of observations are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are distributed according to an
Li, Yun +2 more
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Quantum hypothesis testing via robust quantum control
New Journal of Physics, 2023 Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data.
Han Xu +3 more
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