Publications related to Reprint of: Weak epsilon-nets have basis of size O(1/epsilonlog(1/epsilon)) in any dimension

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Estimating intensity fields of stochastic phenomenons is of crucial interest in many scientific applications. Typical experimental setups involve an acquisition system, that subsequently filters and samples the probed intensity field. This equivalently def ...

2016

Shapes from Pixels

Mitra Fatemi

In today's digital world, sampling is at the heart of any signal acquisition device. Imaging devices are ubiquitous examples that capture two-dimensional visual signals and store them as the pixels of discrete images. The main concern is whether and how th ...

EPFL2016

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Well-Separated Spherical Designs

Maryna Viazovska

For each N ≥ Cdtd , we prove the existence of a well-separated spherical t-design in the sphere Sd consisting of N points, where Cd is a constant depending only on d. ...

2015

Too much success for recent groundbreaking epigenetic experiments

Gregory Francis

An article reporting statistical evidence for epigenetic transfer of learned behavior has important implications, if true. With random sampling, real effects do not always result in rejection of the null hypothesis, but the reported experiments were unifor ...

Genetics Society of America2014

Kinematics of age mixing in advection-dispersion models

Andrea Rinaldo, Paolo Benettin, Gianluca Botter

This paper investigates age mixing processes arising in advection-dispersion models, where large-scale travel and residence time distributions can be explicitly calculated based on the underlying velocity field. In particular, we analyze spatially integrat ...

American Geophysical Union2013

Learning Ridge Functions With Randomized Sampling In High Dimensions

Volkan Cevher, Hemant Tyagi

We study the problem of learning ridge functions of the form f(x) = g(aT x), x ∈ ℝd, from random samples. Assuming g to be a twice continuously differentiable function, we leverage techniques from low rank matrix recovery literature to derive a uniform app ...

IEEE2012

Resolution-Invariant Separable Arma Modeling Of Images

Michaël Unser, Aurélien Bourquard, Hagay Kirshner

We suggest a continuous-domain stochastic modeling of images that is invariant to spatial resolution. Specifically, we are proposing an estimator that is calibrated with respect to the sampling step, and that can potentially handle aliased data. Motivated ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Resolution-Invariant Separable ARMA Modeling of Images

Michaël Unser, Aurélien Bourquard, Hagay Kirshner

We suggest a continuous-domain stochastic modeling of images that is invariant to spatial resolution. Specifically, we are proposing an estimator that is calibrated with respect to the sampling step, and that can potentially handle aliased data. Motivated ...

IEEE2011

Reprint of: Weak epsilon-nets have basis of size O(1/epsilonlog(1/epsilon)) in any dimension

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Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Shapes from Pixels

Random sampling of bandlimited signals on graphs

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Well-Separated Spherical Designs

Too much success for recent groundbreaking epigenetic experiments

Kinematics of age mixing in advection-dispersion models

Learning Ridge Functions With Randomized Sampling In High Dimensions

Resolution-Invariant Separable Arma Modeling Of Images

Resolution-Invariant Separable ARMA Modeling of Images

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Learning Ridge Functions With Randomized Sampling In High Dimensions

Resolution-Invariant Separable Arma Modeling Of Images

Shapes from Pixels

Resolution-Invariant Separable ARMA Modeling of Images

Well-Separated Spherical Designs

Too much success for recent groundbreaking epigenetic experiments

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Random sampling of bandlimited signals on graphs

Kinematics of age mixing in advection-dispersion models