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Distribution Sensitive Product Quantization
IEEE Transactions on Circuits and Systems for Video Technology, 2018Product quantization (PQ) seems to have become the most efficient framework of performing approximate nearest neighbor (ANN) search for high-dimensional data. However, almost all existing PQ-based ANN techniques uniformly allocate precious bit budget to each subspace.
Linhao Li +3 more
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New Perspective on Inner Product Quantization
Physical Review Letters, 1998Summary: We devise a new and highly accurate quantization procedure for the inner product representation, in both configuration and momentum space. Utilizing the representation \(\Psi(\xi)=\sum_ia_i[E]\xi^iR_\beta(\xi)\), for an appropriate reference function, \(R_\beta(\xi)\), we demonstrate that the (convergent) zeros of the coefficient functions ...
Tymczak, C. J. +3 more
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Improved embedding product quantization
Machine Vision and Applications, 2019Real-time object matching and recognition is a challenging task in computer vision probably due to the extensively computational overload posed by large and high dimensional data space. Indexing approaches can help achieving thousands of times in speedups when comparing to sequential search.
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Adaptive bit allocation product quantization
Neurocomputing, 2016Product quantization (PQ) is a popular vector quantization method for approximate nearest neighbor search. The key idea of PQ is to decompose the original data space into the Cartesian product of some low-dimensional subspaces and then every subspace is quantized separately with the same number of codewords.
Qin-Zhen Guo +4 more
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QUANTIZED SYMMETRIZATIONS AND ⋆-PRODUCTS
Quantum Theory and Symmetries, 2002Mathematics
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Structure Sensitive Hashing With Adaptive Product Quantization
IEEE Transactions on Cybernetics, 2016Hashing has been proved as an attractive solution to approximate nearest neighbor search, owing to its theoretical guarantee and computational efficiency. Though most of prior hashing algorithms can achieve low memory and computation consumption by pursuing compact hash codes, however, they are still far beyond the capability of learning discriminative
Xianglong, Liu +4 more
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Quantization based on a novel sample-adaptive product quantizer (SAPQ)
IEEE Transactions on Information Theory, 1999Summary: We propose a novel feedforward adaptive quantization scheme called the sample-adaptive product quantizer (SAPQ). This is a structurally constrained vector quantizer that uses unions of product codebooks. SAPQ is based on a concept of adaptive quantization to the varying samples of the source and is very different from traditional adaptation ...
Kim, Dong Sik, Shroff, Ness B.
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Accelerating Product Quantization Query Execution Runtime
Proceedings of the 2021 International Conference on Management of Data, 2021Product Quantization is a method for approximate nearest neighbor search. I review and analyze two recent SIMD-based query acceleration techniques and propose an algorithmic solution agnostic to the underlying hardware. This new method is competitive in terms of runtime to the SIMD-based methods and alleviates their drawbacks: reduced accuracy and ...
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The pointwise product in Weyl quantization
Journal of Physics A: Mathematical and General, 2004The present paper is devoted to an analysis of the recently introduced Bracken product of operators (which is distributive, commutative and associative), whose symbol is the pointwise product of distributions, in the framework of Weyl's approach to quantization, consisting, roughly speaking, in associating functions on phase space (the simplest case \(\
Dubin, D. A., Hennings, M. A.
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KMS states and star product quantization
Reports on Mathematical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bordemann, Martin +2 more
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