Results 111 to 120 of about 79,851 (290)
TLib: A Flexible C++ Tensor Framework for Numerical Tensor Calculus [PDF]
Numerical tensor calculus comprise basic tensor operations such as the entrywise addition and contraction of higher-order tensors. We present, TLib, flexible tensor framework with generic tensor functions and tensor classes that assists users to implement generic and flexible tensor algorithms in C++.
arxiv
From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad+4 more
wiley +1 more source
Direct Ink Writing of Conductive Hydrogels
This review examines the use of direct ink writing (DIW) for fabricating conductive hydrogels with customizable 3D structures. It outlines the rheological requirements for successful DIW, followed by an exploration of the materials and ink formulations used to impart electronic and/or ionic conductivity to hydrogels while maintaining printability ...
Monica Ho+6 more
wiley +1 more source
Higher-order Galilean contractions
A Galilean contraction is a way to construct Galilean conformal algebras from a pair of infinite-dimensional conformal algebras, or equivalently, a method for contracting tensor products of vertex algebras.
Jørgen Rasmussen, Christopher Raymond
doaj
Tensor-Network Decoding Beyond 2D
Decoding algorithms based on approximate tensor-network (TN) contraction have proven tremendously successful in decoding two-dimensional (2D) local quantum codes such as toric or surface codes and color codes, effectively achieving optimal decoding ...
Christophe Piveteau+2 more
doaj +1 more source
Positive bias makes tensor-network contraction tractable [PDF]
Tensor network contraction is a powerful computational tool in quantum many-body physics, quantum information and quantum chemistry. The complexity of contracting a tensor network is thought to mainly depend on its entanglement properties, as reflected by the Schmidt rank across bipartite cuts.
arxiv
Duality of Graphical Models and Tensor Networks [PDF]
In this article we show the duality between tensor networks and undirected graphical models with discrete variables. We study tensor networks on hypergraphs, which we call tensor hypernetworks. We show that the tensor hypernetwork on a hypergraph exactly corresponds to the graphical model given by the dual hypergraph. We translate various notions under
arxiv
Automatic code generation for many-body electronic structure methods: the tensor contraction engine‡‡ [PDF]
Alexander A. Auer+16 more
openalex +1 more source
Wearable Haptic Feedback Interfaces for Augmenting Human Touch
The wearable haptic feedback interfaces enhance user experience in gaming, social media, biomedical instrumentation, and robotics by generating tactile sensations. This review discusses and categorizes current haptic feedback interfaces into force, thermal, and electrotactile stimulation‐based haptic feedback interfaces, elucidating their current ...
Shubham Patel+3 more
wiley +1 more source
Communication Lower Bounds of Bilinear Algorithms for Symmetric Tensor Contractions [PDF]
We introduce a new theoretical framework for deriving lower bounds on data movement in bilinear algorithms. Bilinear algorithms are a general representation of fast algorithms for bilinear functions, which include computation of matrix multiplication, convolution, and symmetric tensor contractions.
arxiv