31 citations · 47 across the 10 of their papers we have counts for
15 papers
EvoFlows: Evolutionary Edit-Based Flow-Matching for Protein Engineering
Nicolas Deutschmann, Constance Ferragu, Jonathan D. Ziegler +2
We introduce EvoFlows, a variable-length protein sequence-to-sequence modeling approach designed for protein engineering. Existing protein language models are poorly suited for opt…
Linear Inverse Problems with Hessian-Schatten Total Variation
Luigi Ambrosio, Shayan Aziznejad, Camillo Brena +1
In this paper, we characterize the class of extremal points of the unit ball of the Hessian-Schatten total variation (HTV) functional. The underlying motivation for our work stems…
Coupled Splines for Sparse Curve Fitting
Icíar Lloréns Jover, Thomas Debarre, Shayan Aziznejad +1
We formulate as an inverse problem the construction of sparse parametric continuous curve models that fit a sequence of contour points. Our prior is incorporated as a regularizatio…
Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation
Shayan Aziznejad, Joaquim Campos, Michael Unser
In this paper, we introduce the Hessian-Schatten total variation (HTV) -- a novel seminorm that quantifies the total "rugosity" of multivariate functions. Our motivation for defini…
Sparsest Univariate Learning Models Under Lipschitz Constraint
Shayan Aziznejad, Thomas Debarre, Michael Unser
Beside the minimization of the prediction error, two of the most desirable properties of a regression scheme are stability and interpretability. Driven by these principles, we prop…
Convex Optimization in Sums of Banach Spaces
Michael Unser, Shayan Aziznejad
We characterize the solution of a broad class of convex optimization problems that address the reconstruction of a function from a finite number of linear measurements. The underly…
Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals
Thomas Debarre, Shayan Aziznejad, Michael Unser
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite numb…
Shortest-support Multi-Spline Bases for Generalized Sampling
Alexis Goujon, Shayan Aziznejad, Alireza Naderi +1
Generalized sampling consists in the recovery of a function , from the samples of the responses of a collection of linear shift-invariant systems to the input . The reconstru…
Duality Mapping for Schatten Matrix Norms
Shayan Aziznejad, Michael Unser
In this paper, we fully characterize the duality mapping over the space of matrices that are equipped with Schatten norms. Our approach is based on the analysis of the saturation o…
Generating Sparse Stochastic Processes Using Matched Splines
Leello Dadi, Shayan Aziznejad, Michael Unser
We provide an algorithm to generate trajectories of sparse stochastic processes that are solutions of linear ordinary differential equations driven by Lévy white noises. A recent p…
Wavelet Compressibility of Compound Poisson Processes
Shayan Aziznejad, Julien Fageot
In this paper, we precisely quantify the wavelet compressibility of compound Poisson processes. To that end, we expand the given random process over the Haar wavelet basis and we a…
Deep Neural Networks with Trainable Activations and Controlled Lipschitz Constant
Shayan Aziznejad, Harshit Gupta, Joaquim Campos +1
We introduce a variational framework to learn the activation functions of deep neural networks. Our aim is to increase the capacity of the network while controlling an upper-bound…
Support and Approximation Properties of Hermite Splines
Julien Fageot, Shayan Aziznejad, Michael Unser +1
In this paper, we formally investigate two mathematical aspects of Hermite splines which translate to features that are relevant to their practical applications. We first demonstra…
Multi-Kernel Regression with Sparsity Constraint
Shayan Aziznejad, Michael Unser
In this paper, we provide a Banach-space formulation of supervised learning with generalized total-variation (gTV) regularization. We identify the class of kernel functions that ar…
Wavelet Analysis of the Besov Regularity of Lévy White Noises
Shayan Aziznejad, Julien Fageot
We characterize the local smoothness and the asymptotic growth rate of the Lévy white noise. We do so by characterizing the weighted Besov spaces in which it is located. We extend…