Xavier Tricoche

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All published works

Action	Title	Year	Authors
+ PDF Chat	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2024	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Fine-tuning Neural-Operator architectures for training and generalization	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Xavier Tricoche Maarten V. de Hoop
+	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Improved characterization of Lagrangian coherent structures through time-scale analysis	2022	Zi’ang Ding Xavier Tricoche
+	A Hybrid Lagrangian-Eulerian Model for the Structural Analysis of Multifield Datasets	2022	Zi’ang Ding Xavier Tricoche
+ PDF Chat	Extraction and Visualization of Poincare Map Topology for Spacecraft Trajectory Design	2020	Xavier Tricoche Wayne Schlei Kathleen C. Howell
+	Extraction and Visualization of Poincar\'e Map Topology for Spacecraft Trajectory Design.	2020	Xavier Tricoche Wayne Schlei Kathleen C. Howell
+	Extraction and Visualization of Poincaré Map Topology for Spacecraft Trajectory Design	2020	Xavier Tricoche Wayne Schlei Kathleen C. Howell
+	Visualizing Invariant Manifolds in Area-Preserving Maps	2011	Xavier Tricoche Christoph Garth Allen R. Sanderson Ken Joy
+ PDF Chat	Delineating white matter structure in diffusion tensor MRI with anisotropy creases	2007	Gordon Kindlmann Xavier Tricoche Carl‐Fredrik Westin
+	Visualizing the Topology of Symmetric, Second-Order, Time-Varying Two-Dimensional Tensor Fields	2006	Xavier Tricoche Xiaoqiang Zheng Alex Pang
+	Anisotropy Creases Delineate White Matter Structure in Diffusion Tensor MRI	2006	Gordon Kindlmann Xavier Tricoche Carl‐Fredrik Westin
+	Scaling the {Topology} of 2D symmetric, {Second}-{Order} {Tensor} {Fields}	2000	Xavier Tricoche Gerik Scheuermann Hans Hagen Stefan Clauss

Common Coauthors

Coauthor	Papers Together
Takashi Furuya	4
Florian Faucher	4
Jose Antonio Lara Benitez	4
Maarten V. de Hoop	4
Wayne Schlei	3
Kathleen C. Howell	3
Anastasis Kratsios	3
Carl‐Fredrik Westin	2
Zi’ang Ding	2
Gordon Kindlmann	2
Christoph Garth	1
Gerik Scheuermann	1
Alex Pang	1
Ken Joy	1
Stefan Clauss	1
Xiaoqiang Zheng	1
Allen R. Sanderson	1
Hans Hagen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	3
+	A Continuous Tensor Field Approximation of Discrete DT-MRI Data for Extracting Microstructural and Architectural Features of Tissue	2002	Sinisa Pajevic Akram Aldroubi Peter J. Basser	2
+	Lagrangian coherent structures in various map representations for application to multi-body gravitational regimes	2013	Cody R. Short Kathleen C. Howell	2
+	Visualizing Invariant Manifolds in Area-Preserving Maps	2011	Xavier Tricoche Christoph Garth Allen R. Sanderson Ken Joy	2
+ PDF Chat	Interface Detection in Diffusion Tensor MRI	2004	Lauren J. O’Donnell W. Eric L. Grimson Carl‐Fredrik Westin	2
+ PDF Chat	Fiber tract-oriented statistics for quantitative diffusion tensor MRI analysis	2006	Isabelle Corouge P FLETCHER Sarang Joshi S GOUTTARD Guido Gerig	2
+	Reconstruction of vector and tensor fields from sampled discrete data	1999	Akram Aldroubi Peter J. Basser	2
+	Anisotropy Creases Delineate White Matter Structure in Diffusion Tensor MRI	2006	Gordon Kindlmann Xavier Tricoche Carl‐Fredrik Westin	1
+	Iterative Regularization Methods for Nonlinear Ill-Posed Problems	2008	Barbara Kaltenbacher Andreas B. Neubauer Otmar Scherzer	1
+	Homotopy Theory An Introduction to Algebraic Topology	1975	Brayton Gray	1
+ PDF Chat	Improved Correspondence for DTI Population Studies Via Unbiased Atlas Building	2006	Casey Goodlett Brad Davis Remi Jean John H. Gilmore Guido Gerig	1
+ PDF Chat	Probability in Banach Spaces	1976	Michel Ledoux Michel Talagrand	1
+	Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors	2004	P. Thomas Fletcher Sarang Joshi	1
+	Metric Entropy and the Small Ball Problem for Gaussian Measures	1993	J. Kuelbs W.V. Li	1
+ PDF Chat	Ergodic theory and visualization. I. Mesochronic plots for visualization of ergodic partition and invariant sets	2010	Zoran Levnajić Igor Mezić	1
+	A rigorous framework for diffusion tensor calculus	2004	Philip Batchelor Maher Moakher David Atkinson Fernando Calamante Alan Connelly	1
+	Entropy numbers, s-numbers, and eigenvalue problems	1981	Bernd Carl	1
+	Violin Plots: A Box Plot-Density Trace Synergism	1998	Jerry L. Hintze Ray D. Nelson	1
+ PDF Chat	Log‐Euclidean metrics for fast and simple calculus on diffusion tensors	2006	Vincent Arsigny Pierre Fillard Xavier Pennec Nicholas Ayache	1
+	High order embedded Runge-Kutta formulae	1981	P.J. Prince John R. Dormand	1
+	Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix	1997	C. R. Dietrich Garry N. Newsam	1
+ PDF Chat	Time‐Dependent 2‐D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures	2010	Filip Sadlo Daniel Weiskopf	1
+	Boundary and medial shape analysis of the hippocampus in schizophrenia	2004	Martin Styner Jeffrey A. Lieberman Dimitrios Pantazis Guido Gerig	1
+ PDF Chat	Ensemble Kalman methods for inverse problems	2013	Marco Iglesias Kody J. H. Law Andrew M. Stuart	1
+	A normal distribution for tensor-valued random variables: applications to diffusion tensor MRI	2003	Peter J. Basser Sinisa Pajevic	1
+	Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI	2006	Peter J. Basser Sinisa Pajevic	1
+ PDF Chat	Inverse problems: A Bayesian perspective	2010	Andrew M. Stuart	1
+	Fiber Tract-Oriented Statistics for Quantitative Diffusion Tensor MRI Analysis	2005	Isabelle Corouge P. Thomas Fletcher Sarang Joshi John H. Gilmore Guido Gerig	1
+ PDF Chat	Discrete mechanics and variational integrators	2001	Jerrold E. Marsden Matthew West	1
+	None	2001	David M. Mason Zhan Shi	1
+	Adaptive metric dimensionality reduction	2015	Lee-Ad Gottlieb Aryeh Kontorovich Robert Krauthgamer	1
+ PDF Chat	Numerical solution of fractional elliptic stochastic PDEs with spatial white noise	2018	David Bolin Kristin Kirchner Mihály Kovács	1
+	Visualizing the Loss Landscape of Neural Nets	2017	Hao Li Zheng Xu Gavin Taylor Christoph Studer Tom Goldstein	1
+	Geometric Numerical Integration	2002	Ernst Hairer Gerhard Wanner Christian Lubich	1
+	A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods	2019	Martin J. Gander Hui Zhang	1
+	Spectrally-normalized margin bounds for neural networks	2017	Peter L. Bartlett Dylan J. Foster Matus Telgarsky	1
+ PDF Chat	Exact lower bounds for the agnostic probably-approximately-correct (PAC) machine learning model	2019	Aryeh Kontorovich Iosif Pinelis	1
+	Geometric Numerical Integration	2006	Ernst Hairer Marlis Hochbruck Arieh Iserles Christian Lubich	1
+ PDF Chat	Deep learning architectures for nonlinear operator functions and nonlinear inverse problems	2022	Maarten V. de Hoop Matti Lassas Christopher A. Wong	1
+	Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem	2020	Florian Faucher Otmar Scherzer	1
+	On statistical Calderón problems	2020	Kweku Abraham Richard Nickl	1
+ PDF Chat	Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	2020	Sonja Cox Kristin Kirchner	1
+ PDF Chat	A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems	2016	Marco Iglesias	1
+ PDF Chat	Error estimates for DeepONets: a deep learning framework in infinite dimensions	2022	Samuel Lanthaler Siddhartha Mishra George Em Karniadakis	1
+	MLP-Mixer: An all-MLP Architecture for Vision	2021	Ilya Tolstikhin Neil Houlsby Alexander Kolesnikov Lucas Beyer Xiaohua Zhai Thomas Unterthiner Jessica Yung Andreas Steiner Daniel Keysers Jakob Uszkoreit	1
+	Choose a Transformer: Fourier or Galerkin	2021	Shuhao Cao	1
+ PDF Chat	Model Reduction And Neural Networks For Parametric PDEs	2021	Kaushik Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart	1
+ PDF Chat	Deep learning: a statistical viewpoint	2021	Peter L. Bartlett Andrea Montanari Alexander Rakhlin	1
+ PDF Chat	Convergence Rates for Learning Linear Operators from Noisy Data	2023	Maarten V. de Hoop Nikola B. Kovachki Nicholas H. Nelsen Andrew M. Stuart	1
+ PDF Chat	U-FNO—An enhanced Fourier neural operator-based deep-learning model for multiphase flow	2022	Gege Wen Zongyi Li Kamyar Azizzadenesheli Anima Anandkumar Sally M. Benson	1