Results 11 to 20 of about 8,004 (293)

Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane

Abstract and Applied Analysis, 2020
Using standard techniques from geometric quantization, we rederive the integral product of functions on ℝ2 (non-Euclidian) which was introduced by Pierre Bieliavsky as a contribution to the area of strict quantization.
P. Hurtado, A. Leones, J. B. Moreno
doaj   +2 more sources

Deformation Quantization by Moyal Star-Product and Stratonovich Chaos [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
Rémi Léandre, Maurice Obame Nguema
doaj   +2 more sources

Norm-Explicit Quantization: Improving Vector Quantization for Maximum Inner Product Search

Proceedings of the AAAI Conference on Artificial Intelligence, 2020
Vector quantization (VQ) techniques are widely used in similarity search for data compression, computation acceleration and etc. Originally designed for Euclidean distance, existing VQ techniques (e.g., PQ, AQ) explicitly or implicitly minimize the quantization error.
Xinyan Dai, Xiao Yan 0002, Kelvin Kai Wing Ng, Jiu Liu, James Cheng   +4 more
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Matrix Product States and First Quantization

Physical Review Letters
Common wisdom says that the entanglement of fermionic systems can be low in the second quantization formalism but is extremely large in the first quantization. Hence Matrix Product State (MPS) methods based on moderate entanglement have been overwhelmingly formulated in second quantization.
Jheng-Wei Li, Xavier Waintal
openaire   +3 more sources

Deformation Quantization in White Noise Analysis

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.
Rémi Léandre
doaj   +2 more sources

Self-supervised Remote Sensing Image Retrieval Based on Cross-quantization and Sample Correction [PDF]

Zhengzhou Daxue xuebao. Gongxue ban
In view of the fact that the self-supervised remote sensing image retrieval model by using the sample pair for learning due to the lack of labels, resulted in sampling bias and affecting the accuracy of image representation, a self-supervised remote ...
PAN Lili, QU Dongliang, YIN Jingjing, MA Xueqiang   +3 more
doaj   +1 more source

Geometric Quantization and Foliation Reduction [PDF]

, 2013
A standard question in the study of geometric quantization is whether symplectic reduction interacts nicely with the quantized theory, and in particular whether “quantization commutes with reduction.” Guillemin and Sternberg first proposed ...
Skerritt, Paul Michael
core   +1 more source

NSVQ: Noise Substitution in Vector Quantization for Machine Learning

IEEE Access, 2022
Machine learning algorithms have been shown to be highly effective in solving optimization problems in a wide range of applications. Such algorithms typically use gradient descent with backpropagation and the chain rule.
Mohammad Hassan Vali, Tom Backstrom
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A new quantization principle from a minimally non time-ordered product

Journal of High Energy Physics, 2022
We formulate a new quantization principle for perturbative quantum field theory, based on a minimally non time-ordered product, and show that it gives the theories of physical particles and purely virtual particles.
Damiano Anselmi
doaj   +1 more source

Multi-PQTable for Approximate Nearest-Neighbor Search

Information, 2019
Image retrieval or content-based image retrieval (CBIR) can be transformed into the calculation of the distance between image feature vectors. The closer the vectors are, the higher the image similarity will be.
Xinpan Yuan, Qunfeng Liu, Jun Long, Lei Hu, Songlin Wang   +4 more
doaj   +1 more source