Results 91 to 100 of about 2,704,058 (212)
The Matrix Hilbert Space and Its Application to Matrix Learning [PDF]
arXiv, 2017 Theoretical studies have proven that the Hilbert space has remarkable performance in many fields of applications. Frames in tensor product of Hilbert spaces were introduced to generalize the inner product to high-order tensors. However, these techniques require tensor decomposition which could lead to the loss of information and it is a NP-hard problem
arxiv
IET Power Electronics, EarlyView.The multisource adaptive fusion CNN‐transformer method proposed in this study can provide theoretical and technical support for fault diagnosis of high‐voltage MCHBI. It has a promising potential for engineering applications. Abstract In high‐voltage applications, the number of cascaded H‐bridge inverter units is large, the failure probability ...
Weiman Yang +4 more
wiley +1 more source
Super Operator Systems, Strong Norms, and Operator Tensor Products [PDF]
arXiv, 2012 A notion of super operator system is defined which generalizes the usual notion of operator systems to include certain unital involutive operator spaces which cannot be represented completely isometric as a concrete operator system on some Hilbert space.
arxiv
Failure of the trilinear operator space Grothendieck theorem
Discrete Analysis, 2019 Failure of the trilinear operator space Grothendieck theorem, Discrete Analysis 2019:8, 16 pp. Let $\beta:\ell_\infty^n\times \ell_\infty^n\to\mathbb C$ be a bilinear form.
Jop Briët, Carlos Palazuelos
doaj +1 more source
Learning Metric Fields for Fast Low‐Distortion Mesh Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a fast and robust method for computing an injective parameterization with low isometric distortion for disk‐like triangular meshes. Harmonic function‐based methods, with their rich mathematical foundation, are widely used. Harmonic maps are particularly valuable for ensuring injectivity under certain boundary conditions. In addition,
G. Fargion, O. Weber
wiley +1 more source
Structures on the way from classical to quantum spaces and their tensor products [PDF]
arXiv, 2017 We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more attention to the latter ones. The considered two tensor products lead to essentially different norms in the respective spaces.
arxiv
Spanning Multi‐Asset Payoffs With ReLUs
Mathematical Finance, EarlyView.ABSTRACT We propose a distributional formulation of the spanning problem of a multi‐asset payoff by vanilla basket options. This problem is shown to have a unique solution if and only if the payoff function is even and absolutely homogeneous, and we establish a Fourier‐based formula to calculate the solution.
Sébastien Bossu +2 more
wiley +1 more source
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems
Physical Review ResearchConvolutional neural networks (CNNs) have been employed along with variational Monte Carlo methods for finding the ground state of quantum many-body spin systems with great success.
Yilong Ju +5 more
doaj +1 more source
The transportation of embedded inversion in world Englishes
World Englishes, EarlyView.Abstract The present study uses private correspondence to investigate the use of embedded inversion on both sides of the Atlantic as an illustration of the spread of spoken/conversational features through writing. The paper discusses the use of embedded inversion in Irish English (IrE) and briefly compares its occurrence in other varieties of English ...
Carolina P. Amador‐Moreno
wiley +1 more source