Block subsampled randomized Hadamard transform for low-rank approximation on distributed architectures [PDF]
This article introduces a novel structured random matrix composed blockwise from subsampled randomized Hadamard transforms (SRHTs). The block SRHT is expected to outperform well-known dimension reduction maps, including SRHT and Gaussian matrices, on ...
Oleg Balabanov +3 more
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Pauli decomposition via the fast Walsh-Hadamard transform [PDF]
The decomposition of a square matrix into a sum of Pauli strings is a classical pre-processing step required to realize many quantum algorithms. Such a decomposition requires significant computational resources for large matrices. We present an exact and
Timothy N Georges +3 more
doaj +2 more sources
Fast Walsh-Hadamard Transform and Smooth-Thresholding Based Binary Layers in Deep Neural Networks [PDF]
In this paper, we propose a novel layer based on fast Walsh-Hadamard transform (WHT) and smooth-thresholding to replace 1 × 1 convolution layers in deep neural networks. In the WHT domain, we denoise the transform domain coefficients using the new smooth-
Hongyi Pan +2 more
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Hadamard transform imaging [PDF]
We have constructed a Hadamard transform Raman microscopic imaging system, and have developed it to a high definition (64K pixel) technique. We have demonstrated multispectral Raman imaging and developed the first three-dimensional (digital confocal) Raman imaging. We have explored the systematic errors in Hadamard multiplexing techniques and developed
M. D. Morris
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(Hadamard transform imaging) [PDF]
This report describes the design of, and image reconstruction capacity of a Hadamard Raman Microscopic imager. Microscopy of benzoic acid and graphite electrodes, as well as electrophoretic blotting, are described. (CBS)
Michigan Univ., Ann Arbor, MI (USA). Dept. of Chemistry
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Design and Implementation of Sequency-Ordered Fast Walsh-Hadamard Transform (FWHT) in WCDMA
This paper presents the implementation of the Fast Walsh Hadamard Transform (FWHT) in sequence ordered method, in order to minimize the interference due to two users trying to transmit at the same time, and an attempt has made to simulate them.
Safaa M. Z. Al-Ubaidi
doaj +3 more sources
Time-resolved crystallography using the Hadamard transform. [PDF]
Yorke BA +3 more
europepmc +2 more sources
A Novel Autofocus Measure Based on Weighted Walsh-Hadamard Transform
The autofocus measure plays an important role in passive digital imaging systems. However, most of the existing methods are more sensitive to the noise. In order to overcome this drawback, we proposed a novel autofocus measure based on the weighted Walsh-
Liqiang Guo, Xiang Cao, Lian Liu
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A Hybrid Quantum-Classical Approach based on the Hadamard Transform for the Convolutional Layer [PDF]
In this paper, we propose a novel Hadamard Transform (HT)-based neural network layer for hybrid quantum-classical computing. It implements the regular convolutional layers in the Hadamard transform domain.
Hongyi Pan, Xin Zhu, S. Atici, A. Cetin
semanticscholar +1 more source
Block Walsh–Hadamard Transform-based Binary Layers in Deep Neural Networks [PDF]
Convolution has been the core operation of modern deep neural networks. It is well known that convolutions can be implemented in the Fourier Transform domain.
Hongyi Pan, Diaa Badawi, A. Cetin
semanticscholar +1 more source

