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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The regularity with respect to domains of the additive eigenvalues of super-quadratic Hamilton-Jacobi equation
超二次 哈密尔顿-雅可比方程 加性特征值域 规律性
2023/4/27
Viewingtheadditiveeigenvaluesasamapwithrespecttodomainperturbationbyscal- ing, we show that this map enjoys some regularity. Precisely, let c(λ) be the additive eigenvalue with respect to (1 + r(λ))Ω,...
We study linear smoothers and their use in building nonparametric regression models. In the first part of this paper we examine certain aspects of linear smoothers for scatterplots; examples of these ...
Generalized linear and generalized additive models in studies of species distributions:setting the scene
Statistical modeling Generalized linear model Generalized additive model Species distribution Predictive modeling
2015/8/21
An important statistical development of the last 30 years has been the advance in regression analysis provided by generalized linear models (GLMs) and generalized additive models (GAMs). Here we intro...
A distributed algorithm for fitting generalized additive models
Convex optimization Distributed optimization Generalized additive models
2015/8/7
Generalized additive models are an effective regression tool, popular in the statistics literature, that provide an automatic extension of traditional linear models to nonlinear systems. We pres...
Additive Sweeping Preconditioner for the Helmholtz Equation
Helmholtz equation perfectly matched layers preconditioners high frequency waves
2015/7/14
We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfect matched layer (PML). This method divides the domain of interest into thin layers and proposes a new ...
CARRIES, GROUP THEORY, AND ADDITIVE COMBINATORICS
Data occurred along the equalization algorithm minimize proportion
2015/7/7
When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes ...
Predictor-corrector methods for a linear stochastic oscillator with additive noise
predictor-corrector method linear stochastic oscillator symplecticity stochastic Hamil-tonian system second moment mean-square convergence
2012/8/7
The predictor-corrector methods P(EC)k with equidistant discretization are applied to the nu-
merical integration of a linear stochastic oscillator. Their ability in preserving the symplecticity, the...
We give a congruence for L-functions coming from affine additive exponential sums over a finite field. Precisely, we give a congruence for certain operators coming from Dwork's theory. This congruence...
The normality of digits in almost constant additive functions
Normal numbers additive function Selberg-Delange method
2012/6/21
We consider numbers formed by concatenating some of the base b digits from additive functions f(n) that closely resemble the prime counting function \Omega(n). If we concatenate the last
Average estimate for additive energy in prime field
Average estimate additive energy prime field Number Theory
2011/9/19
Abstract: Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ $|A|=p^{\alpha}, |B|=p^{\beta}$. We will prove that for $p\geqslant p_0(\beta)$ one has $$\sum_{b\in B}E_{+}...
On abelian and additive complexity in infinite words
additive complexity infinite words Combinatorics
2011/9/19
Abstract: The study of the structure of infinite words having bounded abelian complexity was initiated by G. Richomme, K. Saari, and L. Q. Zamboni. In this note we define bounded additive complexity f...
Additive decompositions induced by multiplicative characters over finite fields
Characters Residuacity Finite Fields
2011/8/26
Abstract: In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain ad- ditive properties. This result has been generalized in different directions, and our contribution...
Inverse Additive Problems for Minkowski Sumsets II
Brunn-Minkowski convex bodies sumset convex functions
2011/2/21
The Brunn-Minkowski Theorem asserts that μd(A + B)1/d μd(A)1/d + μd(B)1/d for convex bodies A, B Rd, where μd denotes the d-dimensional Lebesgue measure.
Universal Communication over Modulo-additive Channels with an Individual Noise Sequence
Universal Communication Modulo-additive Channels Individual Noise Sequence
2011/1/21
Which communication rates can be attained over an unknown channel where the relation between the input and output can be arbitrary? A channel where the output is any arbitrary (possibly stochastic) fu...
Information-Theoretic Capacity and Error Exponents of Stationary Point Processes under Random Additive Displacements
Information-Theoretic Capacity Error Exponents of Stationary Point Processes
2011/2/25
This paper studies the Shannon regime for the random displacement of stationary point processes. Let each point of some initial stationary point process in Rn give rise to one daughter point, the loca...