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In this technical report we study the problem of propagation of uncertainty (in terms of variances of given uni-variate normal random variables) through typical building blocks of a Convolutional Neural Network (CNN). These include layers…

Machine Learning · Computer Science 2021-02-12 Christos Tzelepis , Ioannis Patras

Fluctuations of the mean field of a globally coupled dynamical systems are discussed. The origin of hidden coherence is related with the instability of the fixed point solution of the self-consistent Perron-Frobenius equation. Collective…

chao-dyn · Physics 2015-06-24 Kunihiko Kaneko

We present the formalism for consistently transforming transition operators within the in-medium similarity renormalization group framework. We implement the operator transformation in both the equations-of-motion and valence-space…

Nuclear Theory · Physics 2017-10-04 N. M. Parzuchowski , S. R. Stroberg , P. Navrátil , H. Hergert , S. K. Bogner

We survey some of our recent results on inverse problems for evolution equations. The goal is to provide a unified approach to solve various types of evolution equations. The inverse problems we consider consist in determining unknown…

Analysis of PDEs · Mathematics 2019-12-09 Kaïs Ammari , Mourad Choulli , Faouzi Triki

We show that qualitatively different epidemic-like processes from distinct societal domains (finance, social and commercial blockbusters, epidemiology) can be quantitatively understood using the same unifying conceptual framework taking…

Quantum field model of unstable particles with random mass is suggested to describe the finite-width effects in decay rate. Within the framework of this model we derive the convolution formula for a width of the channels with unstable…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Kuksa

We explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. We calculate the steady state density profiles that characterise the associated…

Statistical Mechanics · Physics 2024-10-31 Sudip Mukherjee , Abhik basu

One of the most important and uncertain stages in the binary evolution is the common envelope (CE) event. Significant attention has been devoted in the literature so far to the energy balance during the CE event, expected to determine the…

Solar and Stellar Astrophysics · Physics 2015-05-27 Natalia Ivanova

In four-dimensional symplectic maps complex instability of periodic orbits is possible, which cannot occur in the two-dimensional case. We investigate the transition from stable to complex unstable dynamics of a fixed point under parameter…

Chaotic Dynamics · Physics 2021-04-21 Jonas Stöber , Arnd Bäcker

We investigate the instabilities and bifurcations of traveling pulses in a model excitable medium; in particular we discuss three different scenarios for the loss of stability resp. the disappearance of stable pulses. In numerical…

Pattern Formation and Solitons · Physics 2009-11-07 M. Or-Guil , J. Krishnan , I. G. Kevrekidis , M. Bar

The common envelope interaction is thought to be the gateway to all evolved compact binaries and mergers. Hydrodynamic simulations of the common envelope interaction between giant stars and their companions are restricted to the dynamical,…

Solar and Stellar Astrophysics · Physics 2016-07-27 Rajika L. Kuruwita , Jan Staff , Orsola De Marco

The morphology of planetary nebulae emerging from the common envelope phase of binary star evolution is investigated. Using initial conditions based on the numerical results of hydrodynamical simulations of the common envelope phase it is…

Solar and Stellar Astrophysics · Physics 2018-06-13 Guillermo Garcia-Segura , Paul M. Ricker , Ronald E. Taam

One of the most mysterious astrophysical states is the common envelope (CE) phase of binary evolution, in which two stars are enshrouded by the envelope shed by one of them. Interactions between the stars and the envelope shrinks the orbit.…

High Energy Astrophysical Phenomena · Physics 2023-02-22 Rosanne Di Stefano , Matthias U. Kruckow , Yan Gao , Patrick G. Neunteufel , Chiaki Kobayashi

This contribution contains a summary of the Krakow meeting on Soft Physics and Fluctuations. It emphasizes both the experimental and the theoretical investigations on correlations/fluctuations and intermittency in multi-particle processes…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

While deep ensembles are widely considered to be the default method for uncertainty quantification in deep learning, their effectiveness for graph-structured data is often simply assumed based on successes in domains like computer vision.…

Machine Learning · Computer Science 2026-05-22 Pedro C. Vieira , Pedro Ribeiro , Viacheslav Borovitskiy

We demonstrate that final-state uncertainty is ubiquitous in multistable systems of coupled neuronal maps, meaning that predicting whether one such system will eventually be chaotic or nonchaotic is often nearly impossible. We propose a…

Neurons and Cognition · Quantitative Biology 2025-07-22 Brandon B. Le , Bennett Lamb , Luke Benfer , Sriharsha Sambangi , Nisal Geemal Vismith , Akshaj Jagarapu

We have written down a set of notes on compact quantum groups from which all the different aspects can be learned in an easy way and such that a lot of insight can be obtained without too much effort. Compact quantum groups have been…

Functional Analysis · Mathematics 2007-05-23 Ann Maes , Alfons Van Daele

We address the witnessing of quantum correlations beyond the limits imposed by an ensemble statistical average. By relying upon the continuous observation of a single quantum open system under the action of classical or quantum noise, we…

Quantum Physics · Physics 2016-08-14 Felipe Caycedo-Soler , Ferney J. Rodríguez , Luis Quiroga

We present a general formalism for studying the effects of dynamical heterogeneity in open quantum systems. We develop this formalism in the state space of density operators, on which ensembles of quantum states can be conveniently…

Quantum Physics · Physics 2019-09-04 Amro Dodin , Adam P. Willard

Low- and intermediate mass stars experience a significant mass loss during the last phases of their evolution, which obscures them in a vast, dusty envelope. Although it has long been thought this envelope is generally spherically symmetric…

Solar and Stellar Astrophysics · Physics 2022-12-07 Silke Maes , Lionel Siess , Ward Homan , Jolien Malfait , Frederik De Ceuster , Thomas Ceulemans , Dion Donne , Mats Esseldeurs , Leen Decin
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