Recent selected Publications in Mathematical and Computational
Neuroscience
2017
2016
- Andrew Meso, James Rankin, Olivier Faugeras, Pierre
Kornprobst, Guillaume Masson,
The
relative contribution of noise and adaptation to competition
during tri-stable motion perception, Journal of Vision
(JOV), 16:15 (December 2016).
-
Mathieu Desroches, Olivier Faugeras, Martin Krupa, Slow-fast
transitions to seizure states in the Wendling-Chauvel neural
mass model, Opera Medica and Physiologica, 2:3,
228-234, 2016.
2015
- Diego Fasoli, Olivier Faugeras, Stefano
Panzeri, A
Formalism for Evaluating Analytically the Cross-Correlation
Structure of a Firing-Rate Network Model,
The Journal of Mathematical
Neuroscience (JMN), 5:6 (15 March 2015)
- Romain Veltz, Pascal Chossat, Olivier Faugeras, On
the Effects on Cortical Spontaneous Activity of the
Symmetries of the Network of Pinwheels in Visual Area V1,
The Journal of Mathematical
Neuroscience (JMN), 5:11 (30 May 2015)
- Olivier Faugeras, James
Maclaurin,
Asymptotic
Description of Neural Networks with Correlated Synaptic
Weights, Entropy 2015, 17(7),
4701-4743, (July 2015)
- Mireille Bossy, Olivier Faugeras, Denis Talay, Clarification
and Complement to “Mean-Field Description and Propagation of
Chaos in Networks of Hodgkin–Huxley and FitzHugh–Nagumo
Neurons”,
The
Journal of Mathematical Neuroscience (JMN), 5:19
(1 September 2015)
- Romain Veltz, Olivier
Faugeras, ERRATUM:
A Center Manifold Result for Delayed Neural Fields Equations,
SIAM Journal on Mathematical Analysis, 47(2), 1665-1670, 2015
2014
- Olivier Faugeras, James Inglis, Stochastic
neural field equations: A rigorous footing, Journal of
Mathematical Biology.
- Olivier Faugeras, James Maclaurin, Asymptotic
description of stochastic neural networks. I. Existence of a
large deviation principle, Comptes rendus Mathématique,
vol. 352, n° 10.
- Olivier Faugeras, James Maclaurin, Asymptotic
description of stochastic neural networks. II.
Characterization of the limit law, Comptes Rendus
Mathématique, vol. 352, n° 10.
-
Olivier Faugeras, James Maclaurin, A Large Deviation
Principle and an Expression of the Rate Function for a
Discrete Stationary Gaussian Process, Entropy, MDPI.
-
Olivier Faugeras, James Maclaurin, A representation
of the relative entropy with respect to a diffusion process
in terms of its infinitesimal-generator, Entropy, MDPI.
2013
- James Rankin, Emilien Tlapale, Romain Veltz, Olivier
Faugeras, Pierre Kornprobst, Bifurcation analysis
applied to a model of motion integration with a multistable
stimulus,
Journal of Computational Neuroscience, vol. 34, n° 1.
- Romain Veltz, Olivier Faugeras, A Center Manifold
Result for Delayed Neural Fields Equations, SIAM Journal
on Mathematical Analysis, vol. 45, n° 3.
2012
- Jonathan Touboul, Geoffroy
Hermann, Olivier Faugeras, Noise-induced
behaviors
in
neural
mean field dynamics, SIAM Journal on Applied dynamical
Systems, 11:1, pp. 49-81.
- Javier Baladron, Diego
Fasoli, Olivier Faugeras, Jonathan Touboul, Mean
Field
description
of and propagation of chaos in networks of Hodgkin-Huxley
and Fitzhugh-Nagumo neurons, The Journal of
Mathematical Neuroscience,
2:10
(31 May 2012).
- Mathieu Galtier, Olivier
Faugeras, Paul Bressloff, Hebbian
learning
of
recurrent connections: a geometrical perspective, Neural
Computation,
Vol. 24, No. 9, Pages 2346-2383, September 2012.
- Javier Baladron, Diego
Fasoli, Olivier Faugeras,
Three
Applications of GPU Computing in Neuroscience,
Computing in Science and Engineering (CiSE), in Press.
2011
- Pascal Chossat, Grégory
Faye, Olivier Faugeras, Bifurcation
of Hyperbolic Planforms, Journal of Nonlinear Science,
Online First, 4 February 2011.
- Thomas Deneux, Olivier
Faugeras, S. Takerkart, Guillaume Masson, and Ivo Vanzetta A
new variational method for erythrocyte velocity estimation
in wide-field imaging in-vivo, IEEE TMI, March 2011.
- Romain Veltz and Olivier
Faugeras, Stability
of
the
stationary
solutions
of neural field equations with propagation delays, The
Journal of Mathematical Neuroscience, 1:1, May 2011.
- Jonathan Touboul and
Olivier Faugeras A
Markovian event-based framework for stochastic spiking
neural networks, Journal of Computational Neuroscience,
vol. 30, April 2011.
- Jonathan Touboul, Patrick
Chauvel, Fabrice Wendling and Olivier Faugeras, Neural
Mass
Activity,
Bifurcations and Epilepsy, Neural Computation, 23:12,
December 2011.
- Grégory Faye, Pascal
Chossat and Olivier Faugeras, Analysis
of
a hyperbolic geometric model for visual texture perception,
The Journal of Mathematical Neuroscience, 1:4, 2011.
2010
2009
- Olivier
Faugeras, Romain Veltz, François Grimbert Persistent neural states: stationary
localized activity patterns in nonlinear continuous
n-population, q-dimensional neural networks Neural
Computation, 21: 1, pp. 147-187 (2009).
- Olivier
Faugeras, Jonathan Touboul, Bruno Cessac, A
constructive mean-field analysis of multi population
neural networks with random synaptic weights and
stochastic inputs Frontiers
in Computational Neuroscience, 3:1 (2009)
- Pascal Chossat, Olivier Faugeras
Hyperbolic
planforms
in relation to visual edges and textures perception PLos Comput Biol, 5, (2009)
2008
- Jonathan Touboul, Olivier
Faugeras. A
characterization of the first hitting time of double
integral processes to curved boundaries. Advances in
Applied Probability vol. 40, number 2.
- Olivier Faugeras, François
Grimbert, Jean-Jacques Slotine. Absolute
Stability
and
Complete
Synchronization
in
Neural
Fields. SIAM Journal of Applied Mathematics, 69: 1, pp. 205-250 (2008).
- Iasonas Kokkinos,
Rachid Deriche, Olivier Faugeras, Petros Maragos. Computational
analysis
and
learning
for
a
biologically motivated model of boundary detection.
Neurocomputing, Volume 71, Issues 10-12, June 2008, Pages
1798-1812.
2007
- Olivier Faugeras,
Christophe Lenglet, Théodore Papadopoulo, Rachid Deriche.
Non Rigid
Registration of Diffusion Tensor Images. RR-6104.
- Olivier Faugeras, François
Grimbert, Jean-Jacques Slotine. Stability and
Synchronization in Neural Fields. RR-6212. Accepted for
publication in the SIAM Journal of Applied Mathematics.
- Jonathan Touboul, Olivier
Faugeras. First hitting
time of Double Integral Processes to curved boundaries.
RR-6264. Accepted for publication in the Journal of Applied
Probability.
- Jean-Philippe Pons, Renaud
Keriven, Olivier Faugeras. Multi-view
stereo
reconstruction
and
scene
flow
estimation with a global image-based matching score.
International Journal of Computer Vision, 72:2, apr 2007, p.
179–193.
- Jonathan Touboul, Olivier
Faugeras. The statistics
of spikes trains: a stochastic calculus approach.
RR-6224. Journal of Physiology - Paris, vol. 101/1-3, p.
78–98, dec 2007.
- Olivier Faugeras,
Yves Fregnac, Manuel Samuelides. A
Future for Systems and Computational
Neuroscience in France?.
Journal of Physiology - Paris, vol. 101/1-3, 2007, p. 1–8, dec
2007.
2006
- Jan Kybic, Maureen Clerc,
Olivier Faugeras, Renaud Keriven, Théodore Papadopoulo.
Generalized head models for
{MEG/EEG}: boundary element method beyond nested
volumes. Physics in Medicine and Biology,
51, pages 1333-1346.
- Emmanuel Prados, Fabio
Camilli, Olivier Faugeras. A
viscosity solution method for Shape-From-Shading without
image boundary data. Mathematical Modelling and Numerical
Analysis (M2AN), 40:2, pages 393-412.
- Emmanuel Prados, Fabio
Camilli, Olivier Faugeras. A
unifying and rigorous Shape From Shading method adapted to
realistic data and applications. Journal of Mathematical
Imaging and Vision, 25:3, pages 307-328.
- Emmanuel Prados, Christophe
Lenglet, Jean-Philippe Pons, N. Wotawa, Rachid Deriche,
Olivier Faugeras, Stefano Soatto. Control Theory and Fast
Marching Methods for Brain Connectivity
Mapping.
Proceedings of the IEEE Conference on Computer Vision and
Pattern Recognition, New York, NY, June, 2006.
- Guillaume Charpiat, Olivier
Faugeras, Renaud Keriven, Pierre Maurel. Approximations
of
shape
metrics
and
application
to shape warping and empirical shape statistics. In
Statistics and Analysis of Shapes. Hamid Krim and Anthony
Yezzi Jr. Editors. Chapter 15, pages 363-395.
- François Grimbert, Olivier
Faugeras. Bifurcation
Analysis of Jansen's Neural Mass Model. Neural Computation, 18,
pages 3052-3068.
- Christophe Lenglet, Michael
Rousson, Rachid Deriche, Olivier Faugeras. Statistics on the Manifold of
Multivariate Normal Distributions: Theory and
Application to Diffusion Tensor MRI Processing.
Journal of Mathematical Imaging and Vision, 25:3, pages
423-444.
- J.-P. Pons, G. Hermosillo, R.
Keriven and O. Faugeras. Maintaining
the
point
correspondence
in
the
level set framework. Journal of Computational Physics, 220:1, pages
339-354.
- Thomas Deneux,
Olivier Faugeras. Using
nonlinear
models
in
fMRI
data
analysis: model selection and activation detection.
Neuroimage, 32, pages 1669-1689.
2005
- Guillaume Charpiat, Olivier Faugeras, Renaud
Keriven, Approximations
of
shape
metrics
and
application
to
shape warping and empirical shape statistics. Journal
of
Foundations
of
Computational
Mathematics, 5:1, pages 1-58.
- Jan
Kybic, Maureen Clerc, Toufic Abboud, Olivier Faugeras,
Renaud Keriven, Théo Papadopoulo, Integral
Formulations
for the EEG Problem. IEEE Transactions on Medical
Images, 24:1, pages 12-28.
- Jan Kybic, Maureen Clerc,
Olivier Faugeras, Renaud Keriven, Théodore Papadopoulo.
Fast
Multipole
Acceleration
of
the
{MEG/EEG}
Boundary Element Method. Physics in Medicine and
Biology, 50, pages
4695-4710.
- Emmanuel Prados, Olivier
Faugeras. Shape
from Shading. In Mathematical Models in
Computer Vision: The Handbook,
N. Paragios, Y. Chen, O. Faugeras Editors, Springer.
- Emmanuel Prados, Olivier
Faugeras. A generic and provably
convergent Shape-From-Shading Method for Orthographic and
Pinhole Cameras. International Journal of
Computer Vision, 65:1/2, pages 97-125.
2004
- Olivier Faugeras, Geoffray
Adde, Guillaume Charpiat, Christophe Chefd'Hotel, Maureen
Clerc,
Thomas Deneux, Rachid Deriche, Gerardo Hermosillo, Renaud
Keriven,
Pierre Kornprobst, Jan Kybic, Christophe Lenglet,
Lucero Lopez-Perez, Théo Papadopoulo, Jean-Philippe Pons,
Florent Segonne,
Bertrand Thirion, David Tschumperlé, Thierry Viéville,
Nicolas Wotawa, Variational,
geometric
and
statistical
methods
for
modeling
brain anatomy and function. Neuroimage 23S1, pages S46-S55.
- Olivier Faugeras, Gerardo Hermosillo, Well-posedness
of
two
nonrigid
multimodal
image
registration
methods. SIAM Journal on Applied
Mathematics, 64: 5, pages 1550-1587.
- Bertrand Thirion and
Olivier Faugeras, Feature
characterization
in
fMRI
data:
The
information
bottleneck approach. Medical Image Analysis, 8:4, pages
403-419.
2003
- Jan
Kybic,
Maureen
Clerc,
Toufic
Abboud,
Olivier Faugeras, Renaud Keriven, Théo Papadopoulo,
Integral
Formulations
for the EEG Problem. INRIA Research report 4735,
February 2003. Submitted to IEEE MI.
- Denis
Fize, Wim Vanduffel, Koen Nelissen, Katrien Denys,
Christophe Chef d'Hotel, Olivier Faugeras and Guy A Orban, Retinotopic
mapping
in awake monkeys suggests a different functional
organization for dorsal and ventral V4. INRIA
Research report 4732, February 2003. A slightly different
version has appeared in The Journal of Neuroscience Aug. 2003,
23: 7395 - 7406.
- Bertrand Thirion, Olivier
Faugeras, Dynamical
components
Analysis
of
fMRI
data
through
Kernel PCA. NeuroImage, 20:1, pages 34-49.
- Christophe Chefd'Hotel,
David Tschumperle, Rachid Deriche, Olivier Faugeras,
Regularizing
flows for constrained matrix-valued images. Journal
of
Mathematical
Imaging
and
Vision, 20:(1-2), pages 147-162.
- Gilles
Aubert, Michel Barlaud, Olivier Faugeras, Stéphanie
Jehan-Besson, Image segmentation using
active contours: calculus of variations or shape
gradients? SIAM Journal on Applied
Mathematics, 63:6, p. 2128-2154.
- Olivier
Faugeras, Jose Gomes, Renaud Keriven. Computational Stereo: a
Variational Approach. In Geometric Level Set
Methods, S. Osher, N. Paragios Editors, Springer, pages
343-360.
2002
2001
- Bertrand
Thirion,
Olivier Faugeras, Activation detection and
characterisation in brain fMRI sequences. Application to the
study of monkey vision. INRIA Research report
4213, June 2001.
- Olivier
Faugeras,
Gerardo Hermosillo, Well-posedness of eight
problems of multi-modal statistical image-matching. INRIA
Research report 4235, August 2001. A shorter version has been
submitted in 2003 to SIAM Applied Mathematics.
- Gerardo Hermosillo,Christophe Chefd'Hotel, Olivier
Faugeras, A
Variational Approach to Multi-Modal Image Matching. INRIA
Research report 4117, February 2001. A shorter version has
appeared in the International Journal of Computer Vision
(IJCV), volume 50, number 3, November 2002, pages
329-343.
2000
1999
- O. Faugeras, F. Clément, R. Deriche, R. Keriven, T.
Papadopoulo, J. Roberts, T. Viéville, F. Devernay, J. Gomes,
G. Hermosillo, P. Kornprobst and D. Lingrand, The
inverse
EEG and MEG problems: The adjoint state approach I: The
continuous case. INRIA Research report 3673,
May 1999.