7 citations · 20 across the 14 of their papers we have counts for
15 papers
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
An Efficient Transport-Based Dissimilarity Measure for Time Series Classification under Warping Distortions
Akram Aldroubi, Rocío Díaz Martín, Ivan Medri +3
Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), a…
Characterization of frames for source recovery from dynamical samples
Akram Aldroubi, Rocio Diaz Martin, Le Gong +2
In this paper, we address the problem of recovering constant source terms in a discrete dynamical system represented by , where is the -th state in a H…
LCOT: Linear circular optimal transport
Rocio Diaz Martin, Ivan Medri, Yikun Bai +4
The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this p…
Dynamical Sampling for the Recovery of Spatially Constant Source Terms in Dynamical Systems
Akram Aldroubi, Rocio Diaz Martin, Ivan Medri
In this paper, we investigate the problem of source recovery in a dynamical system utilizing space-time samples. This is a specific issue within the broader field of dynamical samp…
Linear Optimal Partial Transport Embedding
Yikun Bai, Ivan Medri, Rocio Diaz Martin +2
Optimal transport (OT) has gained popularity due to its various applications in fields such as machine learning, statistics, and signal processing. However, the balanced mass requi…
Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals
Sumati Thareja, Gustavo Rohde, Rocio Diaz Martin +2
We describe a method for signal parameter estimation using the signed cumulative distribution transform (SCDT), a recently introduced signal representation tool based on optimal tr…
The Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification
Akram Aldroubi, Rocio Diaz Martin, Ivan Medri +2
This paper presents a new mathematical signal transform that is especially suitable for decoding information related to non-rigid signal displacements. We provide a measure theoret…
Error Analysis on the Initial State Reconstruction Problem
Rocío Díaz Martín, Ivan Medri, Juliana Osorio
In this paper we propose a method to estimate the initial state of a linear dynamical system with noisy observation. The method allows the user to have estimations in real time, th…
Continuous and discrete dynamical sampling
Rocío Díaz Martín, Ivan Medri, Ursula Molter
In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space . We find necessary and sufficient conditions on a bounded…
Dynamical Sampling: a view from control theory
Rocío Díaz Martín, Ivan Medri, Ursula Molter
In this contribution we establish a dictionary between terms in two different areas in order to show that many of the topics studied are common ones - just with a different termino…
Operators generated by wavelets and their boundedness from Hp(Rn) into Lp(Rn)
Rocío Díaz, Iván Medri, Pablo Rocha
We study the boundedness from Hp(Rn) into Lp(Rn) of certain operators generated by wavelets and Borel measures.
One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign
Uriel Kaufmann, Iván Medri
Let be a bounded open interval, let and , and let be a function that may change sign in . In this article we study the existence and no…
Strictly positive solutions for one-dimensional nonlinear elliptic problems
Uriel Kaufmann, Ivan Medri
We study existence and nonexistence of strictly positive solutions for the elliptic problems of the form in a bounded open interval, with zero boundary…
Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian
Uriel Kaufmann, Ivan Medri
Let be a bounded open interval, and let and . Let and . We study exist…