搜索结果: 31-45 共查到“理学 `1-norm”相关记录75条 . 查询时间(0.157 秒)
Multiscale flat norm signatures for shapes and images
Multiscale flat norm signatures shapes and images
2010/9/21
In this paper we begin to explore the application of the multiscale flat norm introduced in Morgan and Vixie [13] to shape and image analysis. In particular, we look at the use of the multiscale flat ...
The essential norm of a composition operator on Orlicz spaces
Orlicz spaces composition operator compact operators essential norm
2010/12/21
In this note we determine the lower and upper estimates for the essential norm of a composition operator on the Orlicz spaces under certain conditions.
Closed-Form Solutions to A Category of Nuclear Norm Minimization Problems
Closed-Form Solutions Nuclear Norm Minimization Problems
2010/11/24
It is an efficient and effective strategy to utilize the nuclear norm approximation to learn low-rank matrices, which arise frequently in machine learning and computer vision. So the exploration of n...
Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-...
Finding approximately rank-one submatrices with the nuclear norm and l1 norm
rank-one submatrices the nuclear norm and l1 norm
2010/11/15
We propose a convex optimization formulation with the nuclear norm and $\ell_1$-norm to find a large approximately rank-one submatrix of a given nonnegative matrix. We develop optimality conditions f...
From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking
uncertainty relations information locking low-distortion norm embedding
2010/11/5
We exploit a connection between uncertainty relations and low-distortion embeddings of L2 into L1, which allows us to adapt an explicit low-distortion embedding to obtain efficient entropic uncertaint...
Graphons, cut norm and distance, couplings and rearrangements
Graphons cut norm distance couplings rearrangements
2010/12/6
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
inverse theorem Gowers $U^{s+1}[N]$-norm
2010/12/9
We prove the inverse conjecture for the Gowers Us+1[N]-norm for all s > 3; this is new for s > 3, and the cases s < 3 have also been previously established. More precisely, we establish that if f : [N...
Auto-tuning unit norm frames
frames finite tight unit norm frame potential gradient descent
2010/12/14
Finite unit norm tight frames provide Parseval-like decompositions of vectors in terms of redundant components of equal weight. They are known to be exceptionally robust against additive noise and era...
Concentration Properties of a Gaussian Field Given that its $L^2$-Norm is Large
Concentration Properties Gaussian Field Given $L^2$-Norm is Large
2010/12/14
The realizations of a Gaussian field are investigated in the limit where its L2-norm is large.
Concentration onto the eigenspace associated with the largest eigenvalue of the covariance of the field ...
The norm of the Euler class
norm Euler class
2010/12/6
We prove that the norm of the Euler class E for flat vector bundles is 2−n (in even dimension n, since it vanishes in odd dimension). This shows that the Sullivan–Smillie bound considered by Gro...
Global Solutions for Schrödinger-Debye System for Data with an Infinite $l^2$- norm
Schrö dinger-Debye system Global well-posedness
2010/12/1
We obtain global well-posedness results for the Cauchy problem associated to the the chrödinger-Debye system for two class of data with infinite L2-norm .
On minimizing the norm of linear maps in Cp-classes
elementary operators Schatten p-classes orthogonality
2009/2/23
In this paper we establish various characterizations of the
global minimum of the map FÃ : U ! IR+ defined by FÃ(X) = kÃ(X)kp,
(1 < p < 1) where à : U ! Cp is a map defin...
Some Geometric Properties in Orlicz Sequence Spaces equipped with Orlicz Norm
Orlicz sequence space rotundity local uniform rotundity compact local uniform rotundity property H smoothness copy of $l_\infty$
2009/1/20
It is proved that for any reflexive Banach space $X$, both $X$ and $X^{*}$ are CLUR if and only if both $X$ and $X^{*}$ have property H. Criteria for rotundity, local uniform rotundity, compact l...
Total Convexity for Powers of the Norm in Uniformly Convex Banach Spaces
Uniformly Convex Banach Spaces Norm Total Convexity
2009/1/13
The aim of the paper is to show that, in uniformly convex Banach spaces, the powers of the norm with exponent r > 1 share a property called total convexity. Using this fact we establish a formula for ...