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All in Good Time: Long-lasting Postdictive Effects Discrete Perception
Publications associées (32)
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A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...
San Diego2023Neural Set Function Extensions: Learning with Discrete Functions in High Dimensions
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Integrating functions on discrete domains into neural networks is key to developing their capability to reason about discrete objects. But, discrete domains are (I) not naturally amenable to gradient-based optimization, and (II) incompatible with deep lear ...
2022Fourier uniqueness and interpolation in Euclidean space
We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...
EPFL2022Gradient-Based Learning of Discrete Structured Measurement Operators for Signal Recovery
Countless signal processing applications include the reconstruction of signals from few indirect linear measurements. The design of effective measurement operators is typically constrained by the underlying hardware and physics, posing a challenging and of ...
2022A Continuized View on Nesterov Acceleration
Nicolas Henri Bernard Flammarion, Raphaël Jean Berthier
We introduce the "continuized" Nesterov acceleration, a close variant of Nesterov acceleration whose variables are indexed by a continuous time parameter. The two variables continuously mix following a linear ordinary differential equation and take gradien ...
2021Discrete Time Analysis of Phase Detector Linear Range Extension in Sub-Sampling PLL
The discrete time analysis of the phase detector linear range extension in the first and the second order sub sampling phase-locked loop (SSPLL) is presented. The aim is to understand how much the stability and the pull-in range are affected by the linear ...
IEEE2020Detection Under One-Bit Messaging Over Adaptive Networks
This paper studies the operation of multi-agent networks engaged in binary decision tasks, and derives performance expressions and performance operating curves under challenging conditions with some revealing insights. One of the main challenges in the ana ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms
Mikhail Kapralov, Amir Zandieh
Reconstructing continuous signals based on a small number of discrete samples is a fundamental problem across science and engineering. We are often interested in signals with "simple" Fourier structure - e.g., those involving frequencies within a bounded r ...
ASSOC COMPUTING MACHINERY2019The additive hazard estimator is consistent for continuous-time marginal structural models
Mats Julius Stensrud, Pal Christie Ryalen
Marginal structural models (MSMs) allow for causal analysis of longitudinal data. The standard MSM is based on discrete time models, but the continuous-time MSM is a conceptually appealing alternative for survival analysis. In applied analyses, it is often ...
2019Isogeometric analysis and proper orthogonal decomposition for parabolic problems
Alfio Quarteroni, Shengfeng Zhu
We investigate the combination of Isogeometric Analysis (IGA) and proper orthogonal decomposition (POD) based on the Galerkin method for model order reduction of linear parabolic partial differential equations. For the proposed fully discrete scheme, the a ...
Springer Heidelberg2017