Concept
Convolution theorem
Related publications (37)
Quantitative Analysis of Nanorough Hydrogenated Si(111) Surfaces through Vibrational Spectral Assignment by Periodic DFT Calculations br
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In this work, we use periodic density functional theory(periodic DFT) to rigorously assign vibrational spectra measured on nanorough wet-processed hydrogenated Si(111) surfaces. We compare Si(111)-(1x1) surfaces etched by dilute HF and NH4F, featuring two ...
AMER CHEMICAL SOC2022iPool--Information-Based Pooling in Hierarchical Graph Neural Networks
Pascal Frossard, Chenglin Li, Xing Gao
With the advent of data science, the analysis of network or graph data has become a very timely research problem. A variety of recent works have been proposed to generalize neural networks to graphs, either from a spectral graph theory or a spatial perspec ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021Benchmarking of single imaging datasets
Aleksandra Radenovic, Adrien Charles-François Raymond Descloux
A method of estimating a value (311-313) indicative of a signal component of an input imaging dataset (190) includes determining a normalized Fourier-domain representation of the input imaging dataset (190); and for each one of multiple low-pass filters (3 ...
2020TV-based reconstruction of periodic functions
Julien René Pierre Fageot, Matthieu Martin Jean-André Simeoni
We introduce a general framework for the reconstruction of periodic multivariate functions from finitely many and possibly noisy linear measurements. The reconstruction task is formulated as a penalized convex optimization problem, taking the form of a sum ...
IOP PUBLISHING LTD2020Frequency division using a soliton-injected semiconductor gain-switched frequency comb
Tobias Kippenberg, Junqiu Liu, Wenle Weng
With optical spectral marks equally spaced by a frequency in the microwave or the radio frequency domain, optical frequency combs have been used not only to synthesize optical frequencies from microwave references but also to generate ultralow-noise microw ...
2020On the Relationship between Self-Attention and Convolutional Layers
Martin Jaggi, Andreas Loukas, Jean-Baptiste Francis Marie Juliette Cordonnier
Recent trends of incorporating attention mechanisms in vision have led re- searchers to reconsider the supremacy of convolutional layers as a primary build- ing block. Beyond helping CNNs to handle long-range dependencies, Ramachandran et al. (2019) showed ...
2020A Note on BIBO Stability
The statements on the BIBO stability of continuoustime convolution systems found in engineering textbooks are often either too vague (because of lack of hypotheses) or mathematically incorrect. What is more troubling is that they usually exclude the identi ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020Survey on the Figà–Talamanca Herz algebra
This paper presents a self contained approach to the theory of convolution operators on locally compact groups (both commutative and non commutative) based on the use of the Figà–Talamanca Herz algebras. The case of finite groups is also considered. ...
2019An Optimal Space Lower Bound for Approximating MAX-CUT
We consider the problem of estimating the value of MAX-CUT in a graph in the streaming model of computation. At one extreme, there is a trivial 2-approximation for this problem that uses only O(log n) space, namely, count the number of edges and output hal ...
ASSOC COMPUTING MACHINERY2019