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It is proposed to define "quantumness" of a system (micro or macroscopic, physical, biological, social, political) by starting with understanding that quantum mechanics is a statistical theory. It says us only about probability…

Quantum Physics · Physics 2016-09-08 Andrei Khrennikov

Conformal prediction, which makes no distributional assumptions about the data, has emerged as a powerful and reliable approach to uncertainty quantification in practical applications. The nonconformity measure used in conformal prediction…

Machine Learning · Computer Science 2024-10-15 Yuko Kato , David M. J. Tax , Marco Loog

Our comment on Garc\'ia-Donato et al. (2025). "Model uncertainty and missing data: An objective Bayesian perspective" explores a further extension of the proposed methodology. Specifically, we consider the sequential setting where…

Methodology · Statistics 2025-10-01 Sebastian Arnold , Alexander Ly

In a previous paper (arXiv:1008.3661v1[quant-ph] 21 Aug 2010), we have given a purely logical proof of the Conway and Kochen Free Will theorem in QM: the freedom of the observer implies the freedom of the observed particle. Here we show…

Quantum Physics · Physics 2010-10-20 Iegor Reznikoff

Causal inference on populations embedded in social networks poses technical challenges, since the typical no interference assumption frequently does not hold. Existing methods developed in the context of network interference rely upon the…

Methodology · Statistics 2024-04-12 Vanessa McNealis , Erica E. M. Moodie , Nema Dean

I start from the fundamental principles of non-relativistic quantum mechanics, without probability, and interpret them using the notion of coexistence: a quantum state can be read, not uniquely, as a coexistence of other quantum states,…

Neurons and Cognition · Quantitative Biology 2018-07-23 Éric Merle

We introduce probability estimation, a broadly applicable framework to certify randomness in a finite sequence of measurement results without assuming that these results are independent and identically distributed. Probability estimation…

Quantum Physics · Physics 2018-11-30 Yanbao Zhang , Emanuel Knill , Peter Bierhorst

The validity of the assertion that some recent double-slit interference experiments, conducted by Radin et al., would have tested the possible role of the experimenter's mind in the collapse of the quantum wave function, is questioned. It…

Quantum Physics · Physics 2013-05-28 Massimiliano Sassoli de Bianchi

In a series of papers, a many-minds interpretation of quantum theory has been developed. The aim in these papers is to present an explicit mathematical formalism which constitutes a complete theory compatible with relativistic quantum field…

Quantum Physics · Physics 2007-05-23 Matthew J. Donald

Randomization inference (RI) is typically interpreted as testing Fisher's "sharp" null hypothesis that all unit-level effects are exactly zero. This hypothesis is often criticized as restrictive and implausible, making its rejection…

Methodology · Statistics 2023-08-29 Devin Caughey , Allan Dafoe , Xinran Li , Luke Miratrix

When performing Bayesian inference, we frequently need to work with conditional probability densities. For example, the posterior function is the conditional density of the parameters given the data. Some might worry that conditional…

Methodology · Statistics 2026-03-31 Alex Yan , Cathal Mills , Augustin Marignier , Younjung Kim , Ben Lambert

In this paper, we study the problem of determining $k$ anomalous random variables that have different probability distributions from the rest $(n-k)$ random variables. Instead of sampling each individual random variable separately as in the…

Information Theory · Computer Science 2024-09-09 Myung Cho , Weiyu Xu , Lifeng Lai

Quantile regression is a powerful data analysis tool that accommodates heterogeneous covariate-response relationships. We find that by coupling the asymmetric Laplace working likelihood with appropriate shrinkage priors, we can deliver…

Methodology · Statistics 2021-11-02 Yuanzhi Li , Xuming He

Aleatoric uncertainty captures the inherent randomness of the data, such as measurement noise. In Bayesian regression, we often use a Gaussian observation model, where we control the level of aleatoric uncertainty with a noise variance…

Machine Learning · Computer Science 2022-03-31 Sanyam Kapoor , Wesley J. Maddox , Pavel Izmailov , Andrew Gordon Wilson

The aim of the present study is to detect abrupt trend changes in the mean of a multidimensional sequential signal. Directly inspired by papers of Fernhead and Liu ([4] and [5]), this work describes the signal in a hierarchical manner : the…

Machine Learning · Computer Science 2021-06-11 Olivier Sorba , C Geissler

Two different dynamic models for belief change during evidence monitoring were evaluated: Markov and quantum. They were empirically tested with an experiment in which participants monitored evidence for an initial period of time, made a…

Artificial Intelligence · Computer Science 2019-05-17 Jerome R. Busemeyer , Peter D. Kvam , Timothy J. Pleskac

Pain is among the most salient of experiences while also, curiously, being among the most malleable. A large body of research has revealed that a multitude of explicit strategies can be used to effectively alter the attention-demanding…

Neurons and Cognition · Quantitative Biology 2017-04-11 Aaron Kucyi

We generalize the stochastic revealed preference methodology of McFadden and Richter (1990) for finite choice sets to settings with limited consideration. Our approach is nonparametric and requires partial choice set variation. We impose a…

Theoretical Economics · Economics 2022-05-19 Nail Kashaev , Victor H. Aguiar

Qualitative interactions occur when a treatment effect or measure of association varies in sign by sub-population. Of particular interest in many biomedical settings are absence/presence qualitative interactions, which occur when an effect…

Methodology · Statistics 2020-10-20 Aaron Hudson , Ali Shojaie

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans
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