A comparison of different solutions for the Dynamic Smagorinsky Model applied in a GCM
A discussion of different approaches and solutions of the basic tensor equation within the Dynamic Smagorinsky Model (DSM) suitable for General Circulation Models (GCM) is presented.
Urs Schaefer-Rolffs
doaj +1 more source
Contracting projected entangled pair states is average-case hard
An accurate calculation of the properties of quantum many-body systems is one of the most important yet intricate challenges of modern physics and computer science.
Jonas Haferkamp+3 more
doaj +1 more source
Renormalization group contraction of tensor networks in three dimensions [PDF]
We present a new strategy for contracting tensor networks in arbitrary geometries. This method is designed to follow as strictly as possible the renormalization group philosophy, by first contracting tensors in an exact way and, then, performing a controlled truncation of the resulting tensor. We benchmark this approximation procedure in two dimensions
arxiv +1 more source
Methods for working with problem residents in medical physics residency education
Abstract Medical physics residency training programs may occasionally encounter residents requiring additional intervention beyond normal training efforts. In the literature, these residents are referred to as “problem” residents. While the physician literature on the subject is valuable, this paper specifically focuses on dealing with a problem ...
Christopher J. Watchman, Dandan Zheng
wiley +1 more source
An MRI assessment of mechanisms underlying lesion growth and shrinkage in multiple sclerosis
By applying the tensor model, we analysed lesion orientation and the directionality of lesion expansion/contraction in multiple sclerosis. Each lesion is summarized as an ellipsoid, and the tensor model is applied to calculate lesion anisotropy. From the top to the bottom white matter atlas, surface‐in gradient segmentation and venous atlas used in the
Ermelinda De Meo+9 more
wiley +1 more source
Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm [PDF]
Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate tensor ...
Linjian Ma+3 more
doaj +1 more source
Amygdala Neurodegeneration: A Key Driver of Visual Dysfunction in Parkinson's Disease
ABSTRACT Objective Visual disability in Parkinson's disease (PD) is not fully explained by retinal neurodegeneration. We aimed to delineate the brain substrate of visual dysfunction in PD and its association with retinal thickness. Methods Forty‐two PD patients and 29 controls underwent 3‐Tesla MRI, retinal spectral‐domain optical coherence tomography,
Asier Erramuzpe+15 more
wiley +1 more source
Unifying projected entangled pair state contractions
The approximate contraction of a tensor network of projected entangled pair states (PEPS) is a fundamental ingredient of any PEPS algorithm, required for the optimization of the tensors in ground state search or time evolution, as well as for the ...
Michael Lubasch+2 more
doaj +1 more source
Current and Future Cornea Chip Models for Advancing Ophthalmic Research and Therapeutics
This review analyzes cornea chip technology as an innovative solution to corneal blindness and tissue scarcity. The examination encompasses recent developments in biomaterial design and fabrication methods replicating corneal architecture, highlighting applications in drug screening and disease modeling while addressing key challenges in mimicking ...
Minju Kim+3 more
wiley +1 more source
Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories
We apply a tetrad field with six unknown functions to Einstein field equations. Exact vacuum solution, which represents axially symmetric-dS spacetime, is derived.
Gamal G. L. Nashed
doaj +1 more source