Projective cluster-additive transformation for quantum lattice models
SciPost Physics, 2023 We construct a projection-based cluster-additive transformation that block-diagonalizes wide classes of lattice Hamiltonians $\mathcal{H}=\mathcal{H}_0 +V$.
Max Hörmann, Kai P. Schmidt
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Kubo-Martin-Schwinger relation for an interacting mobile impurity
Physical Review Research, 2023 In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures.
Oleksandr Gamayun +2 more
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Subspace perspective on canonical correlation analysis: Dimension reduction and minimax rates [PDF]
Bernoulli, 2020 Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional representations of high dimensional objects, we propose to quantify the estimation loss of CCA by the excess prediction ...
Ma, Zhuang, Li, Xiaodong
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A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds [PDF]
, 2021 summary:We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector ...
Balko, Ľudovít
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Incremental Canonical Correlation Analysis
Applied Sciences, 2020 Canonical correlation analysis (CCA) is a kind of a simple yet effective multiview feature learning technique. In general, it learns separate subspaces for two views by maximizing their correlations.
Hongmin Zhao, Dongting Sun, Zhigang Luo
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INVARIANT NEUTRAL SUBSPACES FOR HAMILTONIAN MATRICES ∗ [PDF]
, 2014 . Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefinite inner product in finite dimensional real, complex, or quaternion vector spaces are studied.
Rodman, Leiba, Leiba Rodman
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Sampling and reconstructing signals from a union of linear subspaces
, 2011 In this note we study the problem of sampling and reconstructing signals which are assumed to lie on or close to one ofseveral subspaces of a Hilbert space.
Blumensath, Thomas
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Geometric classification of monogenic subspaces and uniparametric linear control systems [PDF]
, 2015 We present a geometric approach to the classification of monogenic invariant subspaces, alternative to the classical algebraic one, which allows us to obtain several matricial canonical forms for each class.
Compta Creus, Albert, Ferrer Llop, Josep
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Isoclinic Subspaces and Quantum Error Correction [PDF]
, 2020 This thesis studies the classical notion of canonical angles to explore isoclinic subspaces on a complex inner product space and equivalent conditions are developed for a set of subspaces to be isoclinic.
Mammarella, David
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Quality-Relevant Batch Process Fault Detection Using a Multiway Multi-Subspace CVA Method
IEEE Access, 2017 For batch process fault detection, regular data-driven methods cannot distinguish quality-irrelevant faults from quality-relevant faults. To solve such problem, we propose a multiway multisubspace canonical variate analysis (MMCVA) method for the batch ...
Yuping Cao +3 more
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