Pouya D. Tafti

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All published works

Action	Title	Year	Authors
+ PDF Chat	Gemma 2: Improving Open Language Models at a Practical Size	2024	Gemma Team Morgane Rivière Shreya Pathak Pier Giuseppe Sessa Cassidy Hardin Surya Bhupatiraju Léonard Hussenot Thomas Mesnard Bobak Shahriari Alexandre Ramé
+ PDF Chat	RecurrentGemma: Moving Past Transformers for Efficient Open Language Models	2024	Aleksandar Botev Soham De Samuel Smith Anushan Fernando George-Cristian Muraru Ruba Haroun Leonard Berrada Razvan Pascanu Pier Giuseppe Sessa Robert Dadashi
+ PDF Chat	Gemma: Open Models Based on Gemini Research and Technology	2024	Gemma Team Thomas Mesnard Cassidy Hardin Robert Dadashi Surya Bhupatiraju Shreya Pathak Laurent Sifre Morgane Rivière Mihir Kale Juliette Love
+	Gemini: A Family of Highly Capable Multimodal Models	2023	Gemini Team Rohan Anil Sebastian Borgeaud Jean-Baptiste Alayrac Jiahui Yu Radu Soricut Johan Schalkwyk Andrew M. Dai Anja Hauth Katie Millican
+	Sparse representations	2014	Michaël Unser Pouya D. Tafti
+	Preface	2014	Michaël Unser Pouya D. Tafti
+	Mathematical context and background	2014	Michaël Unser Pouya D. Tafti
+	Sparse stochastic processes	2014	Michaël Unser Pouya D. Tafti
+	Operators and their inverses	2014	Michaël Unser Pouya D. Tafti
+	Singular integrals	2014	Michaël Unser Pouya D. Tafti
+	An Introduction to Sparse Stochastic Processes	2014	Michaël Unser Pouya D. Tafti
+	Conclusion	2014	Michaël Unser Pouya D. Tafti
+	Wavelet-domain methods	2014	Michaël Unser Pouya D. Tafti
+ PDF Chat	A Unified Formulation of Gaussian Versus Sparse Stochastic Processes—Part II: Discrete-Domain Theory	2014	Michaël Unser Pouya D. Tafti Arash Amini Hagai Kirshner
+ PDF Chat	On Regularized Reconstruction of Vector Fields	2011	Pouya D. Tafti Michaël Unser
+	A unified formulation of Gaussian vs. sparse stochastic processes - Part I: Continuous-domain theory	2011	Michaël Unser Pouya D. Tafti Qiyu Sun
+	A unified formulation of Gaussian vs. sparse stochastic processes - Part II: Discrete-domain theory	2011	Michaël Unser Pouya D. Tafti Arash Amini Hagai Kirshner
+ PDF Chat	Stochastic Models for Sparse and Piecewise-Smooth Signals	2010	Michaël Unser Pouya D. Tafti
+ PDF Chat	Fractional Laplacian pyramids	2009	Ricard Delgado-Gonzalo Pouya D. Tafti Michaël Unser
+ PDF Chat	Self-similar random vector fields and their wavelet analysis	2009	Pouya D. Tafti Michaël Unser
+	Fractional Laplacians, splines, wavelets, and fractal processes	2009	Ricard Delgado-Gonzalo Pouya D. Tafti Christophe Rabut Michaël Unser
+ PDF Chat	Innovation modelling and wavelet analysis of fractal processes in bio-imaging	2008	Pouya D. Tafti Dimitri Van De Ville Michaël Unser
+ PDF Chat	On Interpolation and Resampling of Discrete Data	2006	Pouya D. Tafti Shahram Shirani Xiaolin Wu

Common Coauthors

Coauthor	Papers Together
Michaël Unser	18
Demis Hassabis	4
Johan Ferret	4
Koray Kavukcuoglu	4
Robert Dadashi	4
Surya Bhupatiraju	4
Clément Farabet	4
Sebastian Borgeaud	4
Minh Giang	4
Morgane Rivière	4
Léonard Hussenot	4
Laurent Sifre	4
Evan Senter	4
Cassidy Hardin	4
Charline Le Lan	3
Armand Joulin	3
Shreya Pathak	3
Sertan Girgin	3
Paul Michel	3
J. William Brennan	3
Olivier Bachem	3
Tris Warkentin	3
Eric Noland	3
Eli Collins	3
Pier Giuseppe Sessa	3
Zhitao Gong	3
Thomas Mesnard	3
Noah Fiedel	3
Ludovic Peran	3
Lucas Dixon	3
Antonia Paterson	3
Zoubin Ghahramani	3
Ramona Comanescu	3
Machel Reid	3
Mihir Kale	3
Mateo Wirth	3
Elena Buchatskaya	3
Tom Hennigan	3
Kathleen Kenealy	3
Christopher A. Choquette-Choo	3
Oriol Vinyals	3
Katie Millican	3
Jeff Stanway	3
Juliette Love	3
Joëlle Barral	2
Srivatsan Srinivasan	2
Kartikeya Badola	2
Petko Georgiev	2
Aditya Barua	2
Matthew Rahtz	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Splines minimizing rotation-invariant semi-norms in Sobolev spaces	1977	Jean Duchon	6
+ PDF Chat	Stochastic Models for Sparse and Piecewise-Smooth Signals	2010	Michaël Unser Pouya D. Tafti	5
+ PDF Chat	Isotropic polyharmonic B-splines: scaling functions and wavelets	2005	Dimitri Van De Ville T. Blu Michaël Unser	4
+ PDF Chat	Left-inverses of fractional Laplacian and sparse stochastic processes	2011	Qiyu Sun Michaël Unser	4
+ PDF Chat	A theory for multiresolution signal decomposition: the wavelet representation	1989	Stéphane Mallat	4
+ PDF Chat	Self-Similarity: Part II—Optimal Estimation of Fractal Processes	2007	Thierry Blu Michaël Unser	3
+	From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images	2009	Alfred M. Bruckstein⋆ David L. Donoho Michael Elad	3
+ PDF Chat	Sampling signals with finite rate of innovation	2002	Martin Vetterli Pina Marziliano Thierry Blu	3
+	Fractional Brownian Motion: A Maximum Likelihood Estimator and Its Application to Image Texture	1986	T. Lundahl William J. Ohley Steven Kay Robert S. Siffert	2
+ PDF Chat	Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage	1998	Antonin Chambolle Ronald A. De Vore Nam Yong Lee Bradley J. Lucier	2
+ PDF Chat	Bayesian Estimation for Continuous-Time Sparse Stochastic Processes	2012	Arash Amini Ulugbek S. Kamilov Emrah Bostan Michaël Unser	2
+	Power spectra of general shot noises and Hawkes point processes with a random excitation	2002	Pierre Brémaud Laurent Massoulié	2
+	Bayesian Inference for Continuous-Time ARMA Models Driven by Jump Diffusions	2007	Gary Yang Simon Godsill	2
+ PDF Chat	Positive definite functions and generalizations, an historical survey	1976	James Stewart	2
+	Ideal spatial adaptation by wavelet shrinkage	1994	David L. Donoho Iain M. Johnstone	2
+	On generalized shot noise	1977	John Rice	2
+ PDF Chat	Fractional Splines and Wavelets	2000	Michaël Unser Thierry Blu	2
+ PDF Chat	Sparse Stochastic Processes and Discretization of Linear Inverse Problems	2013	Emrah Bostan Ulugbek S. Kamilov Masih Nilchian Michaël Unser	2
+	On the approximation of the discrete Karhunen-Loeve transform for stationary processes	1984	Michaël Unser	2
+	Bayesian Inference for Continuous-Time Arma Models Driven by Non-Gaussian LÉVY Processes	2006	Simon Godsill Gary Yang	2
+ PDF Chat	Analytical Footprints: Compact Representation of Elementary Singularities in Wavelet Bases	2010	Dimitri Van De Ville Brigitte Forster Michaël Unser Thierry Blu	2
+	Levy Processes and Infinitely Divisible Distributions	1999	Ken‐iti Sato	2
+ PDF Chat	A wavelet-based joint estimator of the parameters of long-range dependence	1999	Darryl Veitch Patrice Abry	2
+ PDF Chat	Generalized Daubechies Wavelet Families	2007	Cédric Vonesch Thierry Blu Michaël Unser	2
+ PDF Chat	Orthonormal bases of compactly supported wavelets	1988	Ingrid Daubechies	2
+	Wavelet-based representations for the 1/f family of fractal processes	1993	Gregory W. Wornell	2
+ PDF Chat	A cardinal spline approach to wavelets	1991	Charles K. Chui Jianzhong Wang	2
+ PDF Chat	An iterative thresholding algorithm for linear inverse problems with a sparsity constraint	2004	Ingrid Daubechies Michel Defrise Christine De Mol	2
+ PDF Chat	Self-Similarity: Part I—Splines and Operators	2007	Michaël Unser Thierry Blu	2
+ PDF Chat	MMSE Estimation of Sparse Lévy Processes	2012	Ulugbek S. Kamilov Pedram Pad Arash Amini Michaël Unser	2
+ PDF Chat	Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces	2001	Akram Aldroubi Karlheinz Gröchenig	1
+ PDF Chat	A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines	1970	George Kimeldorf Grace Wahba	1
+ PDF Chat	Sharpness in Young’s inequality for convolution	1977	John J. F. Fournier	1
+ PDF Chat	Metric spaces and positive definite functions	1938	I. J. Schoenberg	1
+ PDF Chat	An application of extreme point methods to the representation of infinitely divisible distributions	1966	Søren Johansen	1
+	An Introduction to Banach Space Theory	1998	Robert E. Megginson	1
+ PDF Chat	Operator-Like Wavelet Bases of $L_{2}(\mathbb{R}^{d})$	2013	Ildar Khalidov Michaël Unser John Paul Ward	1
+	Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets	2005	B Bacchelli Mira Bozzini Christophe Rabut Maria-Leonor Varas	1
+ PDF Chat	On Moments of Infinitely Divisible Distribution Functions	1971	Stephen James Wolfe	1
+ PDF Chat	Estimation of the Mean of a Multivariate Normal Distribution	1981	Charles Stein	1
+ PDF Chat	Portraits of frames	1995	Akram Aldroubi	1
+ PDF Chat	Geometry and probability in Banach spaces	1981	Laurent Schwartz	1
+	Singular integral equations	1992	Ricardo Estrada Ram P. Kanwal	1
+	Nuclear Locally Convex Spaces	1972	Albrecht Pietsch	1
+	The Geometry of Random Fields	2010	Robert J. Adler	1
+	Ridge Regression: Biased Estimation for Nonorthogonal Problems	2000	Arthur E. Hoerl Robert W. Kennard	1
+ PDF Chat	Mate/spl acute/rn B-splines and the optimal reconstruction of signals	2006	S. Ramani Michaël Unser	1
+	For most large underdetermined systems of linear equations the minimal 𝓁<sub>1</sub>‐norm solution is also the sparsest solution	2006	David L. Donoho	1
+	Wavelets in statistics: beyond the standard assumptions	1999	Bernard W. Silverman	1
+	Conditionally Positive Definite Functions and Their Application to Multivariate Interpolations	1993	Xingping Sun	1