Results 91 to 100 of about 60,391 (204)
Dimensionality Reduction in Full‐Waveform Inversion Uncertainty Analysis
ABSTRACT The uncertainty of model parameters obtained by full‐waveform inversion can be determined from the Hessian of the least‐squares error functional. A description of uncertainty characterisation is presented that takes the null space of the Hessian into account and does not rely on the Bayesian formulation.
W. A. Mulder, B. N. Kuvshinov
wiley +1 more source
A Max-Flow Approach to Random Tensor Networks
The entanglement entropy of a random tensor network (RTN) is studied using tools from free probability theory. Random tensor networks are simple toy models that help in understanding the entanglement behavior of a boundary region in the anti-de Sitter ...
Khurshed Fitter+2 more
doaj +1 more source
Spanning Multi‐Asset Payoffs With ReLUs
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
On the relation between states and maps in infinite dimensions
Relations between states and maps, which are known for quantum systems in finite-dimensional Hilbert spaces, are formulated rigorously in geometrical terms with no use of coordinate (matrix) interpretation.
Grabowski, Janusz+2 more
core
Conformal metrics of constant scalar curvature with unbounded volumes
Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley +1 more source
Failure of the trilinear operator space Grothendieck theorem
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
ABSTRACT Earth Observation optical data are critical for agriculture, supporting tasks like vegetation health monitoring, crop classification, and land use analysis. However, the large size of multispectral and hyperspectral datasets poses challenges for storage, transmission, and processing, particularly in precision farming and resource‐limited ...
Luca Liverotti+3 more
wiley +1 more source
INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES This research was supported by the Kamea Fund. [PDF]
Michael I. Gil’
openalex +1 more source
Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems
Convolutional 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