SQUARES

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Continuous Iteratively Reweighted Least Squares Algorithm for Solving Linear Models by Convex Relaxation
《Advances in Pure Mathematics》2019年第6期523-533,共11页Xian Luo Wanzhou Ye 
In this paper, we present continuous iteratively reweighted least squares algorithm (CIRLS) for solving the linear models problem by convex relaxation, and prove the convergence of this algorithm. Under some condition...
关键词：Linear Models CONTINUOUS Iteratively Reweighted Least SQUARES CONVEX RELAXATION Principal COMPONENT Analysis 
Least Squares Method from the View Point of Deep Learning II: Generalization被引量：1
《Advances in Pure Mathematics》2018年第9期782-791,共10页Kazuyuki Fujii 
The least squares method is one of the most fundamental methods in Statistics to estimate correlations among various data. On the other hand, Deep Learning is the heart of Artificial Intelligence and it is a learning ...
关键词：Least SQUARES Method STATISTICS Deep LEARNING LEARNING Rate Gerschgorin’s THEOREM 
Least Squares Method from the View Point of Deep Learning被引量：1
《Advances in Pure Mathematics》2018年第5期485-493,共9页Kazuyuki Fujii 
The least squares method is one of the most fundamental methods in Statistics to estimate correlations among various data. On the other hand, Deep Learning is the heart of Artificial Intelligence and it is a learning ...
关键词：Least SQUARES Method STATISTICS Deep LEARNING LEARNING Rate Linear ALGEBRA 
Bell’s Ternary Quadratic Forms and Tunnel’s Congruent Number Criterion Revisited
《Advances in Pure Mathematics》2015年第5期267-277,共11页Werner Hürlimann 
Bell’s theorem determines the number of representations of a positive integer in terms of the ternary quadratic forms x2+by2+cz2 with b,c {1,2,4,8}. This number depends only on the number of representations of an int...
关键词：Sum of SQUARES TERNARY Quadratic Form THETA Function HURWITZ Three-Squares Formula CONGRUENT Number Weak Birch-Swinnerton-Dyer CONJECTURE 
Squares from D(-4)and D(20)Triples
《Advances in Pure Mathematics》2011年第5期286-294,共9页Zvonko Cerin 
We study the eight infinite sequences of triples of natural numbers A=(F2n+1,4F2n+3,F2n+7), B=(F2n+1,4F2n+5,F2n+7), C=(F2n+1,5F2n+1,F2n+3), D=(F2n+3,4F2n+1,F2n+3) and A=(L2n+1,4L2n+3,L2n+7), B=(L2n+1,4L2n+5,L2n+7), C=...
关键词：Fibonacci Numbers Lucas Numbers SQUARE Symmetric Sum Alternating Sum Product Component 
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