p7math.FA

math.FA

77 papers

Representation formula for the entropy and functional inequalities

Joseph Lehec

1006.3028

Non-asymptotic theory of random matrices: extreme singular values

Mark Rudelson, Roman Vershynin

1003.2990

On the spectral norm of Gaussian random matrices

Ramon van Handel

1502.05003

Sharp nonasymptotic bounds on the norm of random matrices with independent entries

Afonso S. Bandeira, Ramon van Handel

1408.6185

On sums and convex combinations of projectors onto convex sets

Heinz H. Bauschke, Minh N. Bui, Xianfu Wang

1802.02287

Error bounds for approximations with deep ReLU neural networks in $W^{s,p}$ norms

Ingo Gühring, Gitta Kutyniok, Philipp Petersen

1902.07896

Optimal Rates for Random Fourier Features

Bharath K. Sriperumbudur, Zoltan Szabo

1506.02155

Remarks on the KLS conjecture and Hardy-type inequalities

Alexander V. Kolesnikov, Emanuel Milman

1405.0617

How degenerate is the parametrization of neural networks with the ReLU activation function?

Julius Berner, Dennis Elbrächter, Philipp Grohs

1905.09803

Introduction to the non-asymptotic analysis of random matrices

Roman Vershynin

1011.3027

On the role of Convexity in Isoperimetry, Spectral-Gap and Concentration

Emanuel Milman

0712.4092

Thin shell implies spectral gap up to polylog via a stochastic localization scheme

Ronen Eldan

1203.0893

Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures

Olivier Guédon, Emanuel Milman

1011.0943

Deep vs. shallow networks : An approximation theory perspective

Hrushikesh Mhaskar, Tomaso Poggio

1608.03287

Topological properties of the set of functions generated by neural networks of fixed size

Philipp Petersen, Mones Raslan, Felix Voigtlaender

1806.08459

On the role of Convexity in Functional and Isoperimetric Inequalities

Emanuel Milman

0804.0453

Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles

Radosław Adamczak, Alexander E. Litvak, Alain Pajor, Nicole Tomczak-Jaegermann

0903.2323

How close is the sample covariance matrix to the actual covariance matrix?

Roman Vershynin

1004.3484

Rellich inequalities with weights

Paolo Caldiroli, Roberta Musina

1103.6184

Spectral norm of products of random and deterministic matrices

Roman Vershynin

0812.2432

Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities

Eric A. Carlen, Dario Cordero-Erausquin

0710.0870

The smallest singular value of a random rectangular matrix

Mark Rudelson, Roman Vershynin

0802.3956

Criteria of Spectral Gap for Markov Operators

Feng-Yu wang

1305.4460

Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds

Daryl Geller, Isaac Z. Pesenson

1002.3841

Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Boris Hanin

1708.02691

Randomized Rounding for the Largest Simplex Problem

Aleksandar Nikolov

1412.0036

Phase Retrieval via Wirtinger Flow: Theory and Algorithms

Emmanuel Candes, Xiaodong Li, Mahdi Soltanolkotabi

1407.1065

Phase retrieval

Jameson Cahill, Peter G. Casazza, John Jasper, Lindsey M. Woodland

1508.06687

Phase Retrieval from Coded Diffraction Patterns

Emmanuel Candes, Xiaodong Li, Mahdi Soltanolkotabi

1310.3240

Phase Retrieval By Projections

Jameson Cahill, Peter G. Casazza, Jesse Peterson, Lindsey Woodland

1305.6226

SIC-POVMs: A new computer study

A. J. Scott, M. Grassl

0910.5784

Vector valued reproducing kernel Hilbert spaces and universality

C. Carmeli, E. De Vito, A. Toigo, V. Umanità

0807.1659

Optimal approximation of piecewise smooth functions using deep ReLU neural networks

Philipp Petersen, Felix Voigtlaender

1709.05289

Optimal Approximation with Sparsely Connected Deep Neural Networks

Helmut Bölcskei, Philipp Grohs, Gitta Kutyniok, Philipp Petersen

1705.01714

On the interval of fluctuation of the singular values of random matrices

Olivier Guédon, Alexander E. Litvak, Alain Pajor, Nicole Tomczak-Jaegermann

1509.02322

Stein's method, logarithmic Sobolev and transport inequalities

Michel Ledoux, Ivan Nourdin, Giovanni Peccati

1403.5855

Group Invariant Scattering

Stéphane Mallat

1101.2286

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs

Gitta Kutyniok, Philipp Petersen, Mones Raslan, Reinhold Schneider

1904.00377

Phase Retrieval Meets Statistical Learning Theory: A Flexible Convex Relaxation

Sohail Bahmani, Justin Romberg

1610.04210

Semi Log-Concave Markov Diffusions

Patrick Cattiaux, Arnaud Guillin

1303.6884

A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction

Thomas Wiatowski, Helmut Bölcskei

1512.06293

Invertibility and Robustness of Phaseless Reconstruction

Radu Balan, Yang Wang

1308.4718

Kernel Distribution Embeddings: Universal Kernels, Characteristic Kernels and Kernel Metrics on Distributions

Carl-Johann Simon-Gabriel, Bernhard Schölkopf

1604.05251

Mass transport and variants of the logarithmic Sobolev inequality

Franck Barthe, Alexander V. Kolesnikov

0709.3890

Stability of Schrödinger Potentials and Convergence of Sinkhorn's Algorithm

Marcel Nutz, Johannes Wiesel

2201.10059

Johnson-Lindenstrauss lemma for circulant matrices

Aicke Hinrichs, Jan Vybíral

1001.4919

Global universal approximation of functional input maps on weighted spaces

Christa Cuchiero, Philipp Schmocker, Josef Teichmann

2306.03303

A small frame and a certificate of its injectivity

Cynthia Vinzant

1502.04656

An algebraic characterization of injectivity in phase retrieval

Aldo Conca, Dan Edidin, Milena Hering, Cynthia Vinzant

1312.0158

Learning Theory for Distribution Regression

Zoltan Szabo, Bharath Sriperumbudur, Barnabas Poczos, Arthur Gretton

1411.2066

Entropic Optimal Transport: Geometry and Large Deviations

Espen Bernton, Promit Ghosal, Marcel Nutz

2102.04397

Minimization of the Probabilistic p-frame Potential

Martin Ehler, Kasso A. Okoudjou

1101.0140

Saving phase: Injectivity and stability for phase retrieval

Afonso S. Bandeira, Jameson Cahill, Dustin G. Mixon, Aaron A. Nelson

1302.4618

Stable phase retrieval with low-redundancy frames

Bernhard G. Bodmann, Nathaniel Hammen

1302.5487

Subgraph-based filterbanks for graph signals

Nicolas Tremblay, Pierre Borgnat

1509.05642

Fourth Moment Theorems for Markov Diffusion Generators

Ehsan Azmoodeh, Simon Campese, Guillaume Poly

1305.5469

Completely positive multipliers of quantum groups

Matthew Daws

1107.5244

Dimension reduction by random hyperplane tessellations

Yaniv Plan, Roman Vershynin

1111.4452

Certifying the restricted isometry property is hard

Afonso S. Bandeira, Edgar Dobriban, Dustin G. Mixon, William F. Sawin

1204.1580

On reverse hypercontractivity

Elchanan Mossel, Krzysztof Oleszkiewicz, Arnab Sen

1108.1210

Phase retrieval with polarization

Boris Alexeev, Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon

1210.7752

Stability of Entropic Optimal Transport and Schrödinger Bridges

Promit Ghosal, Marcel Nutz, Espen Bernton

2106.03670

DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing

Dennis Elbrächter, Philipp Grohs, Arnulf Jentzen, Christoph Schwab

1809.07669

Complex Hadamard matrices and Equiangular Tight Frames

Ferenc Szöllősi

1104.2940

Perspective Functions: Properties, Constructions, and Examples

Patrick L. Combettes

1610.01552

Linear and strong convergence of algorithms involving averaged nonexpansive operators

Heinz H. Bauschke, Dominikus Noll, Hung M. Phan

1402.5460

An Elementary Proof of the Restricted Invertibility Theorem

Daniel A. Spielman, Nikhil Srivastava

0911.1114

Phase retrieval from power spectra of masked signals

Afonso S. Bandeira, Yutong Chen, Dustin G. Mixon

1303.4458

Vertex-Frequency Analysis on Graphs

David I Shuman, Benjamin Ricaud, Pierre Vandergheynst

1307.5708

Reproducing kernel Hilbert spaces of Gaussian priors

A. W. van der Vaart, J. H. van Zanten

0805.3252

Microlocal Analysis of the Geometric Separation Problem

David L. Donoho, Gitta Kutyniok

1004.3006

The rate of convergence in the method of alternating projections

Catalin Badea, Sophie Grivaux, Vladimir Muller

1006.2047

Characterizing arbitrarily slow convergence in the method of alternating projections

H. H. Bauschke, F. Deutsch, H. Hundal

0710.2387

Testing properties of graphs and functions

Laszlo Lovasz, Balazs Szegedy

0803.1248

The road to deterministic matrices with the restricted isometry property

Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon, Percy Wong

1202.1234

Steiner equiangular tight frames

Matthew Fickus, Dustin G. Mixon, Janet C. Tremain

1009.5730

Decompositions, approximate structure, transference, and the Hahn-Banach theorem

W. T. Gowers

0811.3103