Results 41 to 50 of about 296 (145)
Bayesian Inference for Multivariate Monotone Densities
Scandinavian Journal of Statistics, EarlyView.ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
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The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
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Solution of certain weakly singular integral equations
, 2006 Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of higher-order (or strong) singularities, like the Cauchy type ...
Chakrabarti, A
core
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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, 2010 In this paper, a coupled crack/contact model is established for the composite material with arbitrary periodic cracks indented by periodic punches. The contact of crack faces is considered.
De-Hao Yu +3 more
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The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
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Wasserstein Regression, Forecasting, and Change‐Point Detection for Daily Traffic Flow Distributions
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 3, June 2026.ABSTRACT We develop a distribution‐valued framework for modeling, forecasting, and monitoring traffic flow counts by treating each day as a probability distribution summarized by jittered empirical quantile signatures. Inference is conducted under the 2‐Wasserstein geometry, which in one dimension is isometric to the L2(0,1)$$ {L}^2\left(0,1\right ...
Abdolnasser Sadeghkhani
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Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract The three‐dimensional (3D) gravity inversion problem is the process of delineating the volumetric mass distributions from the surface gravity anomalies. Recently, many innovative Convolutional Neural Network (CNN) based algorithms have found some success in reduction of computation costs and delineation of sharper boundaries of causative ...
Abhirup Chaudhuri +2 more
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FRACTIONAL-SLOT CONCENTRATED-WINDING SURFACE-MOUNTED PERMANENT MAGNET MOTOR DESIGN AND ANALYSIS FOR IN-WHEEL APPLICATION [PDF]
, 2012 The study on the driving cycle and powertrain of electric vehicle presents the conclusion that there is a regular working area on efficiency map where electric motor works for the most time.
Zanotti Fragonara, Luca +2 more
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