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Segmented Linear Regression Trees
《Acta Mathematica Sinica,English Series》2025年第2期498-521,共24页Xiangyu Zheng Songxi Chen 
Tree-based models have been widely applied in both academic and industrial settings due to the natural interpretability, good predictive accuracy, and high scalability. In this paper, we focus on improving the single-...
关键词:Regression trees segmented linear regression split selection tree pruning 
Compressed Data Separation via ℓ_(q)-Split Analysis with ℓ_(∞)-Constraint
《Acta Mathematica Sinica,English Series》2024年第7期1655-1673,共19页Ming Yang Gu Song Li Jun Hong Lin 
Supported by the National Key Research and Development Program of China(Grant No.2021YFA1003500);the NSFC(Grant Nos.U21A20426,11971427,12071426 and 11901518)。
In this paper,we study compressed data separation(CDS)problem,i.e.,sparse data separation from a few linear random measurements.We propose the nonconvex ℓ_(q)-split analysis with ℓ_(∞)-constraint and 0
关键词:Data separation ℓ_(q)-split analysis Dantzig selector FRAMES restricted isometry property compressed sensing 
Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity
《Acta Mathematica Sinica,English Series》2024年第7期1697-1726,共30页Timilehin Opeyemi Alakoya Oluwatosin Temitope Mewomo 
Supported by National Research Foundation(NRF)of South Africa Incentive Funding for Rated Researchers(Grant No.119903)。
In this paper,we study the concept of split monotone variational inclusion problem with multiple output sets.We propose a new relaxed inertial iterative method with self-adaptive step sizes for approximating the solut...
关键词:Split inverse problems non-Lipschitz operators inertial technique self-adaptive step sizes 
A Converse Theorem for Split SO_(2l) over Finite Fields
《Acta Mathematica Sinica,English Series》2024年第3期731-771,共41页Alexander HAZELTINE Bai Ying LIU 
partially supported by the NSF Grants DMS-1848058;partially supported by the NSF Grants DMS-1702218, DMS-1848058;start-up funds from the Department of Mathematics at Purdue University.
We prove a converse theorem for split even special orthogonal groups over finite fields.This is the only case left on converse theorems of classical groups and the difficulty is the existence of the outer automorphism...
关键词:Converse theorems generic cuspidal representations even special orthogonal groups 
Further Investigation into Split Common Fixed Point Problem for Demicontractive Operators
《Acta Mathematica Sinica,English Series》2016年第11期1357-1376,共20页Yekini SHEHU Oluwatosin T.MEWOMO 
the Alexander von Humboldt Foundation,Bonn for the fellowship
Our contribution in this paper is to propose an iterative algorithm which does not reqmre prior knowledge of operator norm and prove strong convergence theorem for approximating a solution of split common fixed point ...
关键词:Demicontractive mappings split common fixed point problems iterative scheme strongconvergence Hilbert spaces 
The Problem of Split Convex Feasibility and Its Alternating Approximation Algorithms
《Acta Mathematica Sinica,English Series》2015年第12期1857-1871,共15页Zhen Hua HE Ji Tao SUN 
Supported by National Natural Science Foundation of China(Grant No.61174039);the Natural Science Foundation of Yunnan Province(Grant No.2010ZC152);the Candidate Foundation of Youth Academic Experts at Honghe University(Grant No.2014HB0206)
This paper studies the problem of split convex feasibility and a strong convergent alternating algorithm is established.According to this algorithm,some strong convergent theorems are obtained and an affirmative answe...
关键词:Alternating algorithm problem of split convex feasibility strong convergent theorem 
On the Structure of Split Leibniz Triple Systems被引量:5
《Acta Mathematica Sinica,English Series》2015年第10期1629-1644,共16页Yan CAO Liang Yun CHEN 
Supported by Scientific Research Fund of Heilongjiang Provincial Education Department(Grant No.12541184)
We study the structure of arbitrary split Leibniz triple systems with a coherent O-root space. By developing techniques of connections of roots for this kind of triple systems, under certain conditions, in the case of...
关键词:Split Leibniz triple system Lie triple system Leibniz algebra system of roots root space 
Split Quasi-adequate Semigroups被引量:1
《Acta Mathematica Sinica,English Series》2012年第2期425-438,共14页Xiao Jiang GUO Ting Ting PENG 
Supported by National Natural Science Foundation of China of China(Grant No.10961014);Natural Science Foundation of Jiangxi Province;the SF of Education Department of Jiangxi Province,China(Grant No.GJJ11388)
The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected quasi-adequate semigroups. It is proved that an IC quasi-adequate semigroup is split if and only if it has an adequate transver...
关键词:Quasi-adequate semigroup adequate semigroup adequate transversal regular band type-A semigroup 
Local Analysis, Cardinality, and Split Trick of Quasi-biorthogonal Frame Wavelets
《Acta Mathematica Sinica,English Series》2011年第1期203-218,共16页Zhi Hua ZHANG 
The notion of quasi-biorthogonal frame wavelets is a generalization of the notion of orthog- onal wavelets. A quasi-biorthogonal frame wavelet with the cardinality r consists of r pairs of functions. In this paper we ...
关键词:Local analysis CARDINALITY split trick quasi-biorthogonal frame wavelets 
On Integrable Roots in Split Lie Triple Systems
《Acta Mathematica Sinica,English Series》2009年第11期1759-1774,共16页A.J.CALDERóN MARTíN 
the PCI of the UCA‘Teoría de Lie y Teoría de Espacios de Banach’,by the PAI's with project numbers FQM-298,FQM-3737,FQM-02467;the project of the Spanish Ministerio de Educación y Ciencia MTM2004-06580-C02-02 and with rondos FEDER
We focus on the notion of an integrable root in the framework of split Lie triple systems T with a coherent 0-root space. As a main result, it is shown that if T has all its nonzero roots integrable, then its standard...
关键词:Lie triple system ROOT split Lie algebra classification theory 
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