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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
...
Bounds on oscillatory integral operators based on multilinear estimates
oscillatory integral operators multilinear estimates
2011/2/22
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...
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...
Existence of Hermitian-Yang-Mills metrics under conifold transitions
Existence of Hermitian-Yang-Mills metrics conifold transitions
2011/1/21
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...
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
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 ...
Uniform Eberlein compactifications of metrizable spaces
scattered space metrizable space scattered compactification
2011/1/18
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...
Achieving the Holevo bound via sequential measurements
Holevo bound sequential measurements
2011/3/2
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.
Systems of dyadic cubes in a doubling metric space
Space of homogeneous type dyadic cube random geometric construction
2011/1/20
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...
Measurement of phase synchrony of coupled segmentation clocks
Delta-notch coupling phase synchrony Hilbert transform
2010/12/28
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...
Physical Measure and Absolute Continuity for One-Dimensional Center Direction
Physical Measure Absolute Continuity One-Dimensional Center Direction
2011/1/17
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...
A non-ergodic probabilistic cellular automaton with a unique invariant measure
Probabilistic cellular automaton interacting particle system ergodicity
2010/12/15
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...
Properties of the limit shape for some last passage growth models in random environments
corner growth model random environment limit shape last passage percolation
2010/12/13
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...
Complete Ricci-flat metrics through a rescaled exhaustion
Ricci-flat metrics rescaled exhaustion
2010/12/8
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.