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Intrinsic Quantization of Linear Hamiltonian Systems [PDF]
EntropyThis article discusses the quantization of linear Hamiltonian systems, a historically rich but under explored line of research. The key idea is that a classical linear Hamiltonian system induces on its phase space a compatible complex structure and ...
Luigi Accardi, Carlo Pandiscia
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Product Quantization for Nearest Neighbor Search [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011 This paper introduces a product quantization-based approach for approximate nearest neighbor search. The idea is to decompose the space into a Cartesian product of low-dimensional subspaces and to quantize each subspace separately. A vector is represented by a short code composed of its subspace quantization indices.
Hervé Jégou +2 more
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Crossed products, conditional expectations and constraint quantization
Nuclear Physics BRecent work has highlighted the importance of crossed products in correctly elucidating the operator algebraic approach to quantum field theories. In the gravitational context, the crossed product simultaneously promotes von Neumann algebras associated ...
Marc S. Klinger, Robert G. Leigh
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Scalable Image Retrieval by Sparse Product Quantization
IEEE Transactions on Multimedia, 2017 Fast Approximate Nearest Neighbor (ANN) search technique for high-dimensional feature indexing and retrieval is the crux of large-scale image retrieval. A recent promising technique is Product Quantization, which attempts to index high-dimensional image features by decomposing the feature space into a Cartesian product of low dimensional subspaces and ...
Jianke Zhu +2 more
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Robust Product Markovian Quantization [PDF]
SSRN Electronic Journal, 2020 Recursive marginal quantization (RMQ) allows the construction of optimal discrete grids for approximating solutions to stochastic differential equations in d-dimensions. Product Markovian quantization (PMQ) reduces this problem to d one-dimensional quantization problems by recursively constructing product quantizers, as opposed to a truly optimal ...
Rudd, Ralph +3 more
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Machines, 2022 In recent years, deep-learning schemes have been widely and successfully used to diagnose bearing faults. However, as operating conditions change, the distribution of new data may differ from that of previously learned data.
Junhui Zheng +4 more
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Online Product Quantization [PDF]
IEEE Transactions on Knowledge and Data Engineering, 2018 Approximate nearest neighbor (ANN) search has achieved great success in many tasks. However, existing popular methods for ANN search, such as hashing and quantization methods, are designed for static databases only. They cannot handle well the database with data distribution evolving dynamically, due to the high computational effort for retraining the ...
Donna Xu, Ivor W. Tsang, Ying Zhang 0001
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Projective Clustering Product Quantization
CoRR, 2021 This paper suggests the use of projective clustering based product quantization for improving nearest neighbor and max-inner-product vector search (MIPS) algorithms. We provide anisotropic and quantized variants of projective clustering which outperform previous clustering methods used for this problem such as ScaNN.
Aditya Krishnan 0001, Edo Liberty
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Non-Zero Grid for Accurate 2-Bit Additive Power-of-Two CNN Quantization
IEEE Access, 2023 Quantization is an effective technique to reduce the memory and computational complexity of CNNs. Recent advances utilize additive powers-of-two to perform non-uniform quantization, which resembles a normal distribution and shows better performance than ...
Young Min Kim +4 more
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Quantization via Star Products [PDF]
Progress of Theoretical Physics, 2003 We study quantization via star products. We investigate a quantization scheme in which a quantum theory is described entirely in terms of the function space without reference to a Hilbert space, unlike the formulation employing the Wigner functions. The associative law plays an essential role in excluding the unwanted solutions to the stargen-value ...
Hori, Takayuki, Koikawa, Takao
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