【摘 要】
：
With the advance of data acquisition techniques, tensor (multi-dimensional data) ob jects are increasingly accumulated and generated, for example, multi-cha
【机 构】
：
HongKongBaptistUniversity
【出 处】
：
2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
With the advance of data acquisition techniques, tensor (multi-dimensional data) ob jects are increasingly accumulated and generated, for example, multi-channel signals, and multi-view images and videos. In this talk, we propose a new approach to perform dimension reduction for nonnegative tensor ob jects. Our idea is to employ manifold reg-ularization and Tucker decomposition. Extensive experimental results will be provided to demonstrate the effectiveness of the proposed idea.
其他文献
Hillar and Lim famously demonstrated that multilinear (tensor) analogues of many efficiently computable problems in numerical linear algebra are NP-hard". D
There are so many deep aspects of real positive-semi-definite quadratic forms (alias, symmetric matrices or symmetric second order tensors) and their genera
The best rank one approximation problem takes an important position in the research of tensors. In this talk, I will present a canonical form of a tensor th
Given a Laurent polynomial with matrix coeffcients that is positive semi-definite over the unit circle in the complex plane, the Fej(e)r-Riesz theorem asser
In this talk, we study the properties of extreme points of 1-stochastic tensors. We give the Birkhoff-von Neumann theorem of the 1-stochastic tensor. Some e
Combinatorial matrix theory deals with the interplay between matrix theory and graph theory/combinatorics. In this talk we present some recent work in this
A matrix A is called monotonically positive (MP) if there exists a columnwise mono-tonic matrix U such that A = U U T . MP-matrices have many applications i
Analytic connectivity is a quantity in spectral hypergraph theory, proposed as a sub-stitute of algebraic connectivity in the case of hypergraphs. It is rel
In this talk, we show that if a lower-order Hankel tensor is positive semi-definite (positive definite, negative semi-definite, negative definite, or SOS),
In this talk, I will introduce the tensor representation of quantum states, separable pure states and separable mixed states. Then, I will present separabil