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In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems. One remarkable feature of these algorithms is their…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

[Abridged] We present a novel technique, dubbed FiEstAS, to estimate the underlying density field from a discrete set of sample points in an arbitrary multidimensional space. FiEstAS assigns a volume to each point by means of a binary tree.…

Astrophysics · Physics 2009-11-10 Y. Ascasibar , J. Binney

This paper builds upon ParamANN's novel approach (S. Pal & R. Saha 2024) of using ANNs to infer cosmological density parameters by determining optimal architecture for varying synthetic Hubble data SNRs in estimating the density parameters…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-16 Zijian Jin , Jaehyon Rhee

We introduce a theoretical framework for sampling from unnormalized densities based on a smoothing scheme that uses an isotropic Gaussian kernel with a single fixed noise scale. We prove one can decompose sampling from a density (minimal…

Machine Learning · Statistics 2023-10-02 Saeed Saremi , Ji Won Park , Francis Bach

Field-level inference has emerged as a promising framework to fully harness the cosmological information encoded in next-generation galaxy surveys. It involves performing Bayesian inference to jointly estimate the cosmological parameters…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 Hugo Simon , François Lanusse , Arnaud de Mattia

Both numerical simulations and observational evidence indicate that the outer regions of galaxies and dark matter haloes are typically mildly to significantly radially anisotropic. The inner regions can be significantly non-isotropic,…

Astrophysics · Physics 2009-11-13 M. Baes , E. Van Hese

The Earth occultation technique has broad applications in both astronomy and atmospheric density measurements. We construct the background model during the occultation of the Crab Nebula observed by the Insight-Hard X-ray Modulation…

The analogy between supersymmetric quantum mechanics and matter-enhanced neutrino oscillations is exploited to obtain exact solutions for a class of electron density profiles. This integrability condition is analogous to the…

High Energy Physics - Phenomenology · Physics 2009-12-30 A. B. Balantekin

The quasi-neutral hybrid model with kinetic ions and fluid electrons is a promising approach for bridging the inherent multi-scale nature of many problems in space and laboratory plasmas. Here, a novel, implicit, particle-in-cell based…

Plasma Physics · Physics 2018-11-14 A. Stanier , L. Chacón , G. Chen

Neutrino radiography may provide an alternative tool to study the very deep structures of the Earth. Though these measurements are unable to resolve the fine density layer features, nevertheless the information which can be obtained are…

Earth and Planetary Astrophysics · Physics 2009-07-09 E. Borriello , G. Mangano , A. Marotta , G. Miele , P. Migliozzi , C. A. Moura , S. Pastor , O. Pisanti , P. Strolin

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

We perform molecular dynamics simulations to model density as a function of temperature for 74 alkanes with 5 to 10 carbon atoms and non-equilibrium molecular dynamics simulations in the NVT ensemble to model kinematic viscosity of 10…

Computational Physics · Physics 2020-07-02 Pavao Santak , Gareth Conduit

In this paper we show that the DUNE experiment can measure the Earth's density profile by analyzing atmospheric neutrino oscillations. The crucial feature that enables such measurement is the detailed event reconstruction capability of…

High Energy Physics - Phenomenology · Physics 2022-06-15 Kevin J. Kelly , Pedro A. N. Machado , Ivan Martinez-Soler , Yuber F. Perez-Gonzalez

We study the feasibility of using an isotropic flux of cosmic neutrinos in the energy range of 10 to 10000 TeV to study the interior structure of Earth. The angular distribution of events in a $\sim {\rm km}^3$-scale neutrino telescope can…

High Energy Physics - Phenomenology · Physics 2011-05-23 Pankaj Jain , John P. Ralston , George M. Frichter

Interpreting the observations of exoplanet atmospheres to constrain physical and chemical properties is typically done using Bayesian retrieval techniques. Because these methods require many model computations, a compromise is made between…

Earth and Planetary Astrophysics · Physics 2024-01-10 Francisco Ardévol Martínez , Michiel Min , Daniela Huppenkothen , Inga Kamp , Paul I. Palmer

Perception algorithms that provide estimates of their uncertainty are crucial to the development of autonomous robots that can operate in challenging and uncontrolled environments. Such perception algorithms provide the means for having…

Robotics · Computer Science 2023-06-30 Sadegh Rabiee , Joydeep Biswas

This paper presents a physics-informed neural network approach for dynamic modeling of saturable synchronous machines, including cases with spatial harmonics. We introduce an architecture that incorporates gradient networks directly into…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Junyi Li , Tim Foissner , Floran Martin , Antti Piippo , Marko Hinkkanen

We give a highly efficient "semi-agnostic" algorithm for learning univariate probability distributions that are well approximated by piecewise polynomial density functions. Let $p$ be an arbitrary distribution over an interval $I$ which is…

Machine Learning · Computer Science 2013-05-15 Siu-On Chan , Ilias Diakonikolas , Rocco A. Servedio , Xiaorui Sun

Kernel density estimation, a.k.a. Parzen windows, is a popular density estimation method, which can be used for outlier detection or clustering. With multivariate data, its performance is heavily reliant on the metric used within the…

Machine Learning · Computer Science 2012-12-11 Nicolas Le Roux , Francis Bach

We propose a new approach to non-parametric density estimation that is based on regularizing a Sobolev norm of the density. This method is statistically consistent, and makes the inductive bias of the model clear and interpretable. While…

Machine Learning · Statistics 2024-02-15 Mark Kozdoba , Binyamin Perets , Shie Mannor