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Grid Graph Reduction for Efficient Shortest Pathfinding
Single-pair shortest pathfinding (SP) algorithms are used to identify the path with the minimum cost between two vertices in a given graph. However, their time complexity can rapidly increase as the graph size grows.
Chan-Young Kim, Sanghoon Sull
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Generalized Quantum Convolution for Multidimensional Data
The convolution operation plays a vital role in a wide range of critical algorithms across various domains, such as digital image processing, convolutional neural networks, and quantum machine learning.
Mingyoung Jeng +8 more
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Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels [PDF]
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications.
Luis P. Castro +2 more
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Three‐dimensional (3D) shape reconstruction of objects requires multiple scans and complex reconstruction algorithms. An alternative approach is to infer the 3D shape of an object from a single depth image (i.e. single depth view).
Edwin Valarezo Añazco +2 more
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Multipliers of Banach valued weighted function spaces
We generalize Banach valued spaces to Banach valued weighted function spaces and study the multipliers space of these spaces. We also show the relationship between multipliers and tensor product of Banach valued weighted function spaces.
Serap Öztop
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Enhanced CNN for image denoising
Owing to the flexible architectures of deep convolutional neural networks (CNNs) are successfully used for image denoising. However, they suffer from the following drawbacks: (i) deep network architecture is very difficult to train.
Chunwei Tian +5 more
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Convolution Inference via Synchronization of a Coupled CMOS Oscillator Array
Oscillator neural networks (ONNs) are a promising hardware option for artificial intelligence. With an abundance of theoretical treatments of ONNs, few experimental implementations exist to date.
Dmitri E. Nikonov +8 more
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Certain Properties of Harmonic Functions Defined by a Second-Order Differential Inequality
The Theory of Complex Functions has been studied by many scientists and its application area has become a very wide subject. Harmonic functions play a crucial role in various fields of mathematics, physics, engineering, and other scientific disciplines ...
Daniel Breaz +4 more
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Generalized transforms and convolutions
In this paper, using the concept of a generalized Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product.
Timothy Huffman +2 more
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The Hartley transform is a mathematical transformation which is closely related to the better known Fourier transform. The properties that differentiate the Hartley Transform from its Fourier counterpart are that the forward and the inverse transforms ...
Ioannis Paraskevas +2 more
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