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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational points and homogeneous spaces over function fields of curves
曲线函数场 有理点 齐次空间
2023/4/17
In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximizing Approximately Non-k-Submodular Monotone Set Function with Matroid Constraint
最大化 矩阵约束 近似非k子模 单调集函数
2023/5/12
Utilizing approximation algorithm, there has been a large quantity of work on optimization for submodular functions since the 1970s. As a variant, $k$-submodular function appears in many fields to mat...
RETRIEVAL OF AEROSOL PHASE FUNCTION AND POLARIZED PHASE FUNCTION FROM POLARIZATION OF SKYLIGHT FOR DIFFERENT OBSERVATION GEOMETRIES
Aerosol Polarization Phase function Polarized phase function Retrieval Sun-sky radiometer
2018/5/14
The phase function and polarized phase function are important optical parameters, which describe scattering properties of atmospheric aerosol particles. Polarization of skylight induced by the scatter...
RESOLUTION ENHANCEMENT ALGORITHM FOR SPACEBORN SAR BASED ON HANNING FUNCTION WEIGHTED SIDELOBE SUPPRESSION
SAR image Sidelobe suppression Hunning function
2018/5/14
Resolution and sidelobe are mutual restrict for SAR image. Usually sidelobe suppression is based on resolution reduction. This paper provide a method for resolution enchancement using sidelobe opposit...
We prove that the zero locus of an admissible normal
function over an algebraic parameter space S is algebraic in the
case where S is a curve.
ON THE ALGEBRAICITY OF THE ZERO LOCUS OF AN ADMISSIBLE NORMAL FUNCTION
ZERO LOCUS ADMISSIBLE NORMAL FUNCTION
2015/9/29
We show that the zero locus of an admissible normal function on
a smooth complex algebraic variety is algebraic.
This is a brief expository article on the problem of determining the Dehn function of SLn(Z). It appeared in a volume that was presented to G.Mislin on his retirement from ETHZ and was then published ...
The gallery length filling function and a geometric inequality for filling length
filling length filling function
2015/8/26
We exploit duality considerations in the study of singular combinatorial 2-discs ("diagrams") and are led to the following innovations concerning the geometry of the word problem for finite presentati...
EXPLICIT CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS
EXPLICIT CLASS FIELD THEORY GLOBAL FUNCTION FIELDS
2015/8/26
Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ: Gal(F ab/F) → CF , where CF is the id...
This paper introduces some notions of e ective dimension for weighted
function spaces. A space has low e ective dimension if the smallest ball
in it that contains a function of variance 1, has no fu...
Wavelets and the theory of non-parametric function estimation
Pinsker’s theorem sparsity statistical decision problem
2015/8/20
Non-parametric function estimation aims to estimate or recover or denoise a function
of interest, perhaps a signal, spectrum or image, that is observed in noise and possibly
indirectly after some tr...
Imputing a convex objective function
Optimization parameter optimization parameter function cost function
2015/8/7
We consider an optimizing process (or parametric optimization problem), i.e., an optimization problem that depends on some parameters. We present a method for imputing or estimating the objective func...
Function-Private Identity-Based Encryption: Hiding the Function in Functional Encryption
Function privacy identity-based encryption functional encryption
2015/8/5
In light of such an inherent difficulty, any meaningful notion of function privacy must be based
on the minimal assumption that, from the adversary's point of view, identities that correspond to...
Pole-Based Approximation of the Fermi-Dirac Function
Contour integral Fermi-Dirac function Rational approximation
2015/7/14
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann’s zeta function
Statistical tests random unitary matrix Riemann zeta function data set
2015/7/14
This paper presents some new statistical tests and new conjectures regarding
the correspondence between the eigenvalues of random unitary matrices and
the zeros of Riemann’s zeta function. Global fe...