Publications related to Nuclear space

Explicit representations for Banach subspaces of Lizorkin distributions

The Lizorkin space is well suited to the study of operators like fractional Laplacians and the Radon transform. In this paper, we show that the space is unfortunately not complemented in the Schwartz space. In return, we show that it is dense in C0(Double- ...

WORLD SCIENTIFIC PUBL CO PTE LTD2023

A first-order primal-dual method with adaptivity to local smoothness

Volkan Cevher, Maria-Luiza Vladarean

We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

2021

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Jan Sickmann Hesthaven, Lijing Zhao

Fractional operators are widely used in mathematical models describing abnormal and nonlocal phenomena. Although there are extensive numerical methods for solving the corresponding model problems, theoretical analysis such as the regularity result, or the ...

SCIENCE PRESS2020

The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Updates

Sebastian Urban Stich, Sai Praneeth Reddy Karimireddy

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two terms: (i) a stocha ...

MICROTOME PUBL2020

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

Frédéric Mila, Natalia Chepiga

Motivated by the presence of Ising transitions that take place entirely in the singlet sector of frustrated spin-1/2 ladders and spin-1 chains, we study two types of effective dimer models on ladders, a quantum dimer model and a quantum loop model. Buildin ...

2019

Overlapping and essential roles for molecular and mechanical mechanisms in mycobacterial cell division

Georg Fantner, John McKinney, Adrian Pascal Nievergelt, Pascal Damian Odermatt, Haig Alexander Eskandarian, Mélanie Thérèse Marie Hannebelle

Mechanisms to control cell division are essential for cell proliferation and survival. Bacterial cell growth and division require the coordinated activity of peptidoglycan synthases and hydrolytic enzymes to maintain mechanical integrity of the cell wall. ...

2019

Stable high-order randomized cubature formulae in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure μ defined on a domain Γ⊆ℝ^d, in any dimension d. Each cubature formula is conceived to be exact on a given finite dim ...

2018

Hypomonotonicity of the Normal Cone and Proximal Smoothness

Grigory Ivanov

We study the properties of the normal cone to a proximally smooth set. We give a complete characterization of a proximally smooth set through the monotonicity properties of its normal cone in an arbitrary uniformly convex and uniformly smooth Banach space. ...

Heldermann Verlag2017

A Functional Framework for Enhanced Ultrasound Imaging

Ultrasound systems are cheap, portable, and fast, which have become impressively popular over the last decades. State-of art imaging is however known to be sub-optimal. Most attempts to improve it formulate the problem on a discrete spatial grid and suffer ...

2017

A Looping-Delooping Adjunction For Topological Spaces

Martina Rovelli

Every principal G-bundle over X is classified up to equivalence by a homotopy class X -> BG, where BG is the classifying space of G. On the other hand, for every nice topological space X Milnor constructed a strict model of its loop space (Omega) over tild ...

Int Press Boston, Inc2017

Nuclear space

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Explicit representations for Banach subspaces of Lizorkin distributions

A first-order primal-dual method with adaptivity to local smoothness

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Updates

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

Overlapping and essential roles for molecular and mechanical mechanisms in mycobacterial cell division

Stable high-order randomized cubature formulae in arbitrary dimension

Hypomonotonicity of the Normal Cone and Proximal Smoothness

A Functional Framework for Enhanced Ultrasound Imaging

A Looping-Delooping Adjunction For Topological Spaces

Explicit representations for Banach subspaces of Lizorkin distributions

The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Updates

Hypomonotonicity of the Normal Cone and Proximal Smoothness

Overlapping and essential roles for molecular and mechanical mechanisms in mycobacterial cell division

Stable high-order randomized cubature formulae in arbitrary dimension

A Functional Framework for Enhanced Ultrasound Imaging

A Looping-Delooping Adjunction For Topological Spaces

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

A first-order primal-dual method with adaptivity to local smoothness

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains