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针对个人信贷风险评估中存在的类别不平衡问题,为了提升信贷违约客户的识别能力,提出基于欠采样改进的集成模型。该模型从“数据”层面进行批量欠采样处理,从“算法”层面对现有的集成模型进行再次集成。在UCI台湾信用卡信贷数据集上,结合模型整体效果的测度AUC值、精度方面的测度F1值和区分度指标KS值进行评估。结果表明,基于欠采样改进的Batch-US-集成模型总能取得更优结果,其中属Batch-US-Xg...
Let M3 be a Margulis spacetime whose associated complete hyperbolic surface 62 has a compact convex core. Generalizing the correspondence between closed geodesics on M3 and closed geodesics on 62 ...
Let S ⊂ Rn be a smooth, compact hyper-surface with positive definite second fundamental form. Let σ be its surface measure.We prove the following result with respect to the Fourier restriction/e...
Magnitude is a numerical invariant of finite metric spaces, recently introduced by T. Leinster, which is analogous in precise senses to the cardinality of finite sets or the Euler characteristic of to...
The magnitude of metric spaces      magnitude  metric spaces        2011/2/28
Magnitude is a real-valued invariant of metric spaces, analogous to the Euler characteristic of topological spaces and the cardinality of sets. The de nition of magnitude is a special case of a gener...
We first study the degeneration of a sequence of Hermitian-Yang-Mills metrics with respect to a sequence of balanced metrics on a Calabi-Yau threefold ˆX that degenerates to the balanced metric c...
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
We prove that each metrizable space X (of size |X|  c) has a (first countable) uniform Eberlein compactification and each scattered metriz-able space has a scattered hereditarily paracompact compacti...
We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line.
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to gene...
The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arran...
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
We exhibit a Probabilistic Cellular Automaton (PCA) on {0, 1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure.This answers by the negative an old open qu...
We study directed last passage percolation on the first quadrant of the planar square lattice whose weights have general distributions, or equivalently, · /G/1 queues in series.The service time distri...
Typical existence result on Ricci-flat metrics is in manifolds of finite geometry,that is, on F = F − D where F is a compact K¨ahler manifold and D is a smooth divisor.

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