Inference of neutrino flavor evolution through data assimilation and neural differential equations

Abstract

The evolution of neutrino flavor in dense environments such as core-collapse supernovae and binary compact object mergers constitutes an important and unsolved problem. Its solution has potential implications for the dynamics and heavy-element nucleosynthesis in these environments. In this paper, we build upon recent work to explore inference-based techniques for estimation of model parameters and neutrino flavor evolution histories. We combine data assimilation, ordinary differential equation solvers, and neural networks to craft an inference approach tailored for non-linear dynamical systems. Using this architecture, and a simple two-neutrino, two-flavor model, we test various optimization algorithms with the help of four experimental setups. We find that employing this new architecture, together with evolutionary optimization algorithms, accurately captures flavor histories in the four experiments. This work provides more options for extending inference techniques to large numbers of neutrinos.

References in corpus (53)

• Artificial Neural Networks for Solving Ordinary and Partial Differential Equations
• Markov Chain Analysis of Cumulative Step-size Adaptation on a Linear Constrained Problem
• Recent Trends in Deep Learning Based Natural Language Processing
• A unified deep artificial neural network approach to partial differential equations in complex geometries
• Collective Neutrino Oscillations
• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Hyper-Kamiokande Design Report
• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Collective Neutrino Flavor Transformation In Supernovae
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• Self-induced spectral splits in supernova neutrino fluxes
• Collective neutrino flavor conversion: Recent developments
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Neutrino cloud instabilities just above the neutrino sphere of a supernova
• The multi-angle instability in dense neutrino systems
• Linearized flavor-stability analysis of dense neutrino streams
• Adiabaticity and spectral splits in collective neutrino transformations
• Collective three-flavor oscillations of supernova neutrinos
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• Fashionable Modelling with Flux
• Axial symmetry breaking in self-induced flavor conversion of supernova neutrino fluxes
• On the occurrence of fast neutrino flavor conversions in multidimensional supernova models
• Neutrino flavour transformation in supernovae
• Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
• Collisional triggering of fast flavor conversions of supernova neutrinos
• A new possibility of the fast neutrino-flavor conversion in the pre-shock region of core-collapse supernova
• Forward-Mode Automatic Differentiation in Julia
• Fast-pairwise collective neutrino oscillations associated with asymmetric neutrino emissions in core-collapse supernova
• Linear Analysis of Fast-Pairwise Collective Neutrino Oscillations in Core-Collapse Supernovae based on the Results of Boltzmann Simulations
• DiffEqFlux.jl - A Julia Library for Neural Differential Equations
• Flavor instabilities in the neutrino line model
• Neutrino Emission as Diagnostics of Core-Collapse Supernovae
• Temporal Instability Enables Neutrino Flavor Conversions Deep Inside Supernovae
• On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
• Fast Neutrino Flavor Conversion at Late Time
• Halo Modification of a Supernova Neutronization Neutrino Burst
• Fast neutrino flavor conversions in one-dimensional core-collapse supernova models with and without muon creation
• Neutrino flavor instabilities in a time-dependent supernova model
• Fast Neutrino Flavor Conversion as Oscillations in a Quartic Potential
• Three flavor neutrino conversions in supernovae: Slow $\&$ Fast instabilities
• Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations
• On the Occurrence of Crossings Between the Angular Distributions of Electron Neutrinos and Antineutrinos in the Supernova Core
• Self-induced flavor conversion of supernova neutrinos on small scales
• Neural Networks Trained to Solve Differential Equations Learn General Representations
• Multi-azimuthal-angle instability for different supernova neutrino fluxes
• Neutrino halo effect on collective neutrino oscillation in iron core-collapse supernova model of a 9.6 $M_{\odot }$ star
• Linear stability analysis of collective neutrino oscillations without spurious modes
• Time of Flight and Supernova Progenitor Effects on the Neutrino Halo
• Strange mechanics of the neutrino flavor pendulum
• An optimization-based approach to calculating neutrino flavor evolution
• Inference offers a metric to constrain dynamical models of neutrino flavor transformation
• Numerical and Physical Stability of Supernova Neutrino Flavor Evolution

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