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非iid条件下分类算法的全局收敛性
大数据 机器学习 变投影拟牛顿算法 动态反馈系统
2022/1/26
由于大数据与超级计算技术的发展，机器学习得到日益重视与广泛应用。以往的机器学习分类算法大都建立在训练样本的独立同分布（iid）等持续激励条件上，这对绝大数实际应用场景并不适用或难以验证，例如具有反馈回路的复杂动态系统数据就远远不满足iid条件。此外，机器学习模型的特殊非线性结构而导致的优化指标的非凸性，是机器学习算法全局收敛性研究的主要难点。如何建立非独立非平稳，特别是一般非持续激励数据条件下，机...
Outliers in the spectrum of iid matrices with bounded rank perturbations
Outliers spectrum of iid matrices bounded rank perturbations
2011/2/24
It is known that if one perturbs a large iid random matrix by a bounded rank error, then the
majority of the eigenvalues will remain distributed according to the circular law. However, the bounded ra...
Spin-Dependent Limits from the DRIFT-IId Directional Dark Matter Detector
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2011/1/5
Data are presented from the DRIFT-IId detector housed in the Boulby mine in northeast England. A 0.8 m^3 fiducial volume, containing partial pressures of 30 Torr CS2 and 10 Torr CF4, was exposed for a...
Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Random graphs degree distribution Poisson process stable matching stationary model
2009/4/29
Let $[mathcal{P}]$ be the points of a Poisson process on $RR^d$ and $F$ a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant...
Stationary random graphs on Z with prescribed iid degrees and finite mean connections
Random graphs degree distribution stationary model
2009/4/23
Let F be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on Z with degree distribution F and it is shown for this mode...
Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Poisson process Stationary random graphs
2009/4/22
Let $[mathcal{P}]$ be the points of a Poisson process on $RR^d$ and $F$ a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant...
Stationary random graphs on Z with prescribed iid degrees and finite mean connections
probability distribution non-negative integers finite mean connections
2009/4/3
Let F be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on Z with degree distribution F and it is shown for this mode...