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We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

Space-time localization diagrams ``unlock" subtle aspects of $\nu$ oscillations such as coherence and entanglement. Observability of propagation decoherence in oscillating neutrino state is discussed. The sizes of WPs of reactor and source…

High Energy Physics - Phenomenology · Physics 2022-12-21 Alexei Y Smirnov

Neutrino experiments are often limited by low statistics, sizable systematic uncertainties, and coarse observable binning, which can hinder discrimination among competing beyond-the-Standard-Model (BSM) explanations of anomalous signals. In…

High Energy Physics - Phenomenology · Physics 2026-04-24 Iain A. Bisset , Bhaskar Dutta , Doojin Kim , Samiran Sinha , Joel W. Walker

We derive an analytical description of neutrino oscillations in matter based on the Magnus exponential representation of the time evolution operator. Our approach is valid in a wide range of the neutrino energies and properly accounts for…

Astrophysics · Physics 2008-11-26 A. D. Supanitsky , J. C. D'Olivo , G. Medina-Tanco

This paper introduces one new multivariate volatility model that can accommodate an appropriately defined network structure based on low-frequency and high-frequency data. The model reduces the number of unknown parameters and the…

Statistical Finance · Quantitative Finance 2022-04-28 Huiling Yuan , Guodong Li , Junhui Wang

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

We make a model-independent analysis of all available data that indicate neutrino oscillations. Using probability diagrams, we confirm that a mass spectrum with two nearly degenerate pairs of neutrinos separated by a mass gap of $\simeq1$…

High Energy Physics - Phenomenology · Physics 2009-08-07 V. Barger , S. Pakvasa , T. J. Weiler , K. Whisnant

Consider the most general $3 \times 3$ Majorana neutrino mass matrix $\cal M$. Motivated by present neutrino-oscillation data, much theoretical effort is directed at reducing it to a specific texture in terms of a small number of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ernest Ma

Neural simulation-based inference is a powerful class of machine-learning-based methods for statistical inference that naturally handles high-dimensional parameter estimation without the need to bin data into low-dimensional summary…

Data Analysis, Statistics and Probability · Physics 2025-06-16 ATLAS Collaboration

We discuss conceptual aspects of neutrino oscillations with the main emphasis on the field-theoretical approach. This approach includes the neutrino source and detector processes and allows to obtain the neutrino transition or survival…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Grimus , S. Mohanty , P. Stockinger

The mixing of three and four massive neutrinos is considered. It is shown that the neutrino oscillation data are not compatible with a hierarchy of couplings in the three-neutrino case. In the case of four neutrinos, a hierarchy of masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , C. Giunti , W. Grimus

In this contribution we discuss the future of the global long-baseline neutrino oscillation program. The case is made that our current lack of understanding of neutrino-nucleus interactions is a serious challenge which will need to be met…

High Energy Physics - Phenomenology · Physics 2016-12-16 Patrick Huber

We discuss the field-theoretical approach to neutrino oscillations. This approach includes the neutrino source and detector processes and allows to obtain the neutrino transition or survival probabilities as cross sections derived from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Grimus , S. Mohanty , P. Stockinger

This work is focused on constructing space-time covariance functions through a hierarchical mixture approach that can serve as building blocks for capturing complex dependency structures. This hierarchical mixture approach provides a…

Methodology · Statistics 2025-11-14 Pulong Ma

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

Applications · Statistics 2018-10-19 Leonardo Azevedo , Vasily Demyanov

In this paper, we show the effects on the transition probabilities for neutrino oscillations due to a thin constant density layer perturbation added to an arbitrary matter density profile. In the case of two neutrino flavors, we calculate…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tommy Ohlsson

We propose a Quantum Field Theory (QFT) approach to neutrino oscillations in vacuum. The neutrino emission and detection are identified with the charged-current vertices of a single second-order Feynman diagram for the underlying process,…

High Energy Physics - Phenomenology · Physics 2023-01-10 Sergey Kovalenko , Fedor Simkovic

We present, both exactly and approximately, a complete set of mappings between the vacuum (or fundamental) leptonic mixing parameters and the effective ones in matter with non-standard neutrino interaction (NSI) effects included. Within the…

High Energy Physics - Phenomenology · Physics 2009-04-07 Davide Meloni , Tommy Ohlsson , He Zhang

A number of derivations of the standard neutrino oscillation formula are known, each one providing its own unique insights. Common to all treatments is the assumption that neutrinos propagate freely between source and detector, as indeed…

High Energy Physics - Phenomenology · Physics 2019-10-08 Lucas Johns

We construct a new perturbative framework to describe neutrino oscillation in matter with the unique expansion parameter \epsilon, which is defined as \Delta m^2_{21} / \Delta m^2_{ren} with the renormalized atmospheric \Delta m^2_{ren}…

High Energy Physics - Phenomenology · Physics 2015-12-23 Hisakazu Minakata