Publications related to Continuous linear operator

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

Pierre Vandergheynst, Nathanaël Perraudin, Nauman Shahid

Many real world datasets subsume a linear or non-linear low-rank structure in a very low-dimensional space. Unfortunately, one often has very little or no information about the geometry of the space, resulting in a highly under-determined recovery problem. ...

2016

A New Converse Bound for Coded Caching

Michael Christoph Gastpar, Sung Hoon Lim, Chien-Yi Wang

An information-theoretic lower bound is developed for the caching system studied by Maddah-Ali and Niesen. By comparing the proposed lower bound with the decentralized coded caching scheme of Maddah-Ali and Niesen, the optimal memory--rate tradeoff is char ...

2016

Submodular Stochastic Probing on Matroids

Justin Dean Ward, Marek Adamczyk

In a stochastic probing problem we are given a universe E, and a probability that each element e in E is active. We determine if an element is active by probing it, and whenever a probed element is active, we must permanently include it in our solution. Mo ...

INFORMS2016

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

Pierre Vandergheynst, Michael Bronstein

Feature descriptors play a crucial role in a wide range of geometry analysis and processing applications, including shape correspondence, retrieval, and segmentation. In this paper, we propose ShapeNet, a generalization of the popular convolutional neural ...

2015

Elliptic equations with general singular lower order term and measure data

Linda Maria De Cave

In this paper we study a nonlinear elliptic boundary value problem with a general singular lower order term, whose model is {-Delta u = H(u)mu, in Omega, u = 0 on partial derivative Omega, u > 0 on Omega, where Omega is an open bounded subset of R-N, mu is ...

Pergamon-Elsevier Science Ltd2015

Structure Tensor Total Variation

Michaël Unser, Stamatios Lefkimmiatis

We introduce a novel generic energy functional that we employ to solve inverse imaging problems within a variational framework. The proposed regularization family, termed as structure tensor total variation (STV), penalizes the eigenvalues of the structure ...

SIAM2015

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Charles Stuart

We consider bifurcation from the line of trivial solutions for a nonlinear eigenvalue problem on a bounded open subset, Omega, of R-N with N >= 3, containing 0. The leading term is a degenerate elliptic operator of the form L(u) = del . A del u where A is ...

Pergamon-Elsevier Science Ltd2015

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Daniel Kressner, Michael Maximilian Steinlechner

The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the number ...

MATHICSE2015

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Continuous linear operator

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

A New Converse Bound for Coded Caching

Submodular Stochastic Probing on Matroids

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

Elliptic equations with general singular lower order term and measure data

Structure Tensor Total Variation

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Isogeometric Collocation Method for Partial Differential Equations on Surfaces

A Map for Big Data Research in Digital Humanities

Graph Chatbot

Chat with Graph Search

Submodular Stochastic Probing on Matroids

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Elliptic equations with general singular lower order term and measure data

A New Converse Bound for Coded Caching

A Map for Big Data Research in Digital Humanities

Structure Tensor Total Variation

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Isogeometric Collocation Method for Partial Differential Equations on Surfaces