Results 61 to 70 of about 32,468 (150)
Position space equations for generic Feynman graphs
We propose an extension of the position space approach to Feynman integrals from the banana family to generic Feynman diagrams. Our approach is based on omitting integration in position space and then writing differential equations for the products of ...
V. Mishnyakov, A. Morozov, M. Reva
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Symmetry-Based Graph Fourier Transforms for Image Representation
It is well-known that the application of the Discrete Cosine Transform (DCT) in transform coding schemes is justified by the fact that it belongs to a family of transforms asymptotically equivalent to the Karhunen-Loeve Transform (KLT) of a first order Markov process.
Gnutti, Alessandro +3 more
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FREQUENCY COMPONENT EXTRACTION OF HEARTBEAT CUES WITH SHORT TIME FOURIER TRANSFORM (STFT)
Electro-acoustic human heartbeat detector have been made with the main parts : (a) stetoscope (piece chest), (b) mic condenser, (c) transistor amplifier, and (d) cues analysis program with MATLAB.
Sumarna Sumarna +2 more
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Graph Fourier Transform Enhancement Through Envelope Extensions
Many real-world networks are characterized by directionality; however, the absence of an appropriate Fourier basis hinders the effective implementation of graph signal processing techniques. Inspired by discrete signal processing, where embedding a line digraph into a cycle digraph facilitates the powerful Discrete Fourier Transform for signal ...
Ali Bagheri Bardi +3 more
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Complexity of the Fourier transform on the Johnson graph
The set $X$ of $k$-subsets of an $n$-set has a natural graph structure where two $k$-subsets are connected if and only if the size of their intersection is $k-1$. This is known as the Johnson graph. The symmetric group $S_n$ acts on the space of complex functions on $X$ and this space has a multiplicity-free decomposition as sum of irreducible ...
Iglesias, Rodrigo, Natale, Mauro
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A Graph Downsampling Technique Based On Graph Fourier Transform
In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled signal. Moreover, if the signal is not bandlimited, we provide a quality measure for comparing different downsampling ...
Vaishnav, Nileshkumar, Tatu, Aditya
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The graph Laplacian is a standard tool in data science, machine learning, and image processing. The corresponding matrix inherits the complex structure of the underlying network and is in certain applications densely populated.
Dominik Alfke +3 more
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Sentiment Analysis for E-Commerce Product Reviews Using a Fourier Graph Transformer Network
Fueled by the accelerating growth of e-commerce, user-generated product reviews have increased substantially in both volume and structural complexity.
Yan Zhang +3 more
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Fourier Analysis: Graphical Animation and Analysis of Experimental Data with Excel
According to Fourier formulation, any function that can be represented in a graph may be approximated by the “sum” of infinite sinusoidal functions (Fourier series), termed as “waves”.The adopted approach is accessible to students of the first years of ...
Margarida Oliveira +2 more
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ObjectiveThis study focuses on enhancing the precision of epidemic time series data prediction by integrating Gated Recurrent Unit (GRU) into a Graph Neural Network (GNN), forming the GRGNN.
Xu-dong Liu +7 more
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