Results 31 to 40 of about 64,232 (230)
Fusion frames and g-frames in tensor product and direct sum of Hilbert spaces
, 2012 A. Khosravi, Azandaryani M. Mirzaee
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Regression in tensor product spaces by the method of sieves. [PDF]
Electronic Journal of Statistics, 2022 Estimation of a conditional mean (linking a set of features to an outcome of interest) is a fundamental statistical task. While there is an appeal to flexible nonparametric procedures, effective estimation in many classical nonparametric function spaces,
Tianyu Zhang, N. Simon
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Wormholes, geons, and the illusion of the tensor product
Journal of High Energy Physics, 2023 In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces.
Adam Bzowski
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Detection of Interaction Effects in a Nonparametric Concurrent Regression Model
Entropy, 2023 Many methods have been developed to study nonparametric function-on-function regression models. Nevertheless, there is a lack of model selection approach to the regression function as a functional function with functional covariate inputs.
Rui Pan, Zhanfeng Wang, Yaohua Wu
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On the joint distribution of the marginals of multipartite random quantum states [PDF]
, 2020 We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the marginals, and we show that in the balanced asymptotical regime, the ...
Dartois, Stephane +2 more
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Tensor dimensionality reduction via mode product and HSIC
IET Image Processing, 2021 Tensor dimensionality reduction (TDR) is a hot research topic in machine learning, which learns data representations by preserving the original data structure while avoiding convert samples into vectors and solving the problem of the curse of ...
Guo Niu, Zhengming Ma
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Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable [PDF]
, 1999 Given a bipartite quantum system represented by a tensor product of two Hilbert spaces, we give an elementary argument showing that if either component space is infinite-dimensional, then the set of nonseparable density operators is trace-norm dense in ...
A. Peres +26 more
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Journal of Inequalities and Applications, 2019 To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...
Ya-Hui Wang, Yun-Zhang Li
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Dimensionality Reduction with Variational Encoders Based on Subsystem Purification
Mathematics, 2023 Efficient methods for encoding and compression are likely to pave the way toward the problem of efficient trainability on higher-dimensional Hilbert spaces, overcoming issues of barren plateaus.
Raja Selvarajan +3 more
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Product of random states and spatial (half-)wormholes
Journal of High Energy Physics, 2021 We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein ...
Kanato Goto +3 more
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