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Input design is an important problem for system identification and has been well studied for the classical system identification, i.e., the maximum likelihood/prediction error method. For the emerging...
This paper is concerned with Smith forms of bivariate polynomial matrices. For a bivariate polynomial square matrix with the determinant being the product of two distinct and irreducible univariate po...
Low rank orthogonal tensor approximation (LROTA) is an important problem in tensor computations and their applications. A classical and widely used algorithm is the alternating polar decomposition met...
We establish a number of foundational results on Poincaré spaces which result in several applications. One application settles an old conjecture of C.T.C. Wall in the affirmative. Another result shows...
三次型、反常消解及模性     三次型  反常消解  模性       2023/1/5
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin^c, spin^{w_2} and orientable 12-manifolds respectively. We relate the...
箭图的刻画是表示理论的关键问题.对于给定的分次自入射代数,刻画了它和循环群的smash积的箭图和关系.
考虑线性方程组l_1范数问题的求解, 在分别将其转化为一个分裂可行问题和凸可行问题的基础上, 设计了几种松弛投影算法, 然后将所设计的求解方法用于信号处理问题的求解上.
在压缩感知理论中,基追踪BP算法用于求解l1范数的最小值问题,采用原对偶内点法实现对稀疏信号的重构.在线性分组码译码中,把差错图案E看作一维稀疏信号,借助压缩感知理论,提出了重构差错图案E的方法.把伴随式S和校验矩阵H分别作为测量信号和测量矩阵,代入基追踪BP算法重构出差错图案E.验证了重构的差错图案E是正确的.对线性分组码译码进行仿真实验,通过基追踪BP算法和最大似然算法实现了汉明码的译码,通过...
应用三角和方法以及高斯和的若干性质,研究三次高斯和与Kloosterman和的一类高次混合均值的计算问题,本文给出该混合均值的一个有趣的线性递推公式.同时,还应用该递推公式,得到三次高斯和与Kloosterman和的高次混合均值的一系列较强的渐近公式.
本文证明了: 如果rectifiable空间$G$是局部Lindelöf $\Sigma$-空间, 则$G$是强仿紧空间, 该结论改进了文[{Topology Appl., 2015, 193: 182-191]的一个结果; 如果rectifiable 空间$G$ 的 某个紧化剩余是局部$\sigma$-空间, 则$G$是局部紧空间或可分的度量空间, 该结论推广了文[{Topology ...
This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, t...
Let R1, R2 . . . Rm be rotations generating SOd+1, d ≥ 2, and f1, f2 . . . fm be their small smooth perturbations. We show that {fα} can be simultaneously linearized if and only if the assocated ran...
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatte...
The objective of this paper is the linear reconstruction of a vector, up to a unimodular constant, when all phase information is lost, meaning only the magnitudes of frame coefficients are known. Reco...
In this paper we present an Information Theoretic Estimator for the number of sources mutuallydisjoint in a linear mixing model. The approach follows the Minimum Description Length prescription and is...

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