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4.0

Jun 30, 2018
06/18

by
Yan-Bing Li; Sheng-Wei Xu; Wei Huang; Zhong-Jie Wan

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This paper proposes a cheat sensitive quantum bit commitment (CSQBC) scheme based on single photons, in which Alice commits a bit to Bob. Here, Bob only can cheat the committed bit with probability close to $0$ with the increasing of used single photons' amount. And if Alice altered her committed bit after commitment phase, she will be detected with probability close to $1$ with the increasing of used single photons' amount. The scheme is easy to be realized with nowadays technology.

Topic: Quantum Physics

Source: http://arxiv.org/abs/1407.6939

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3.0

Jun 30, 2018
06/18

by
Peng He; Bing Li; Deguang Zhang; Yutao Ma

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Cross-project defect prediction (CPDP) plays an important role in estimating the most likely defect-prone software components, especially for new or inactive projects. To the best of our knowledge, few prior studies provide explicit guidelines on how to select suitable training data of quality from a large number of public software repositories. In this paper, we have proposed a training data simplification method for practical CPDP in consideration of multiple levels of granularity and...

Topics: Computing Research Repository, Software Engineering

Source: http://arxiv.org/abs/1405.0773

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3.0

Jun 29, 2018
06/18

by
Lixuan Zheng; Min Wu; Bing Li

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For any real number $\beta>1$. The $n$th cylinder of $\beta$ in the parameter space $\{\beta\in \mathbb{R}: \beta>1\}$ is a set of real numbers in $(1,\infty)$ having the same first $n$ digits in their $\beta$-expansion of $1$, denote by $I^P_n(\beta)$. We study the quantities which describe the growth of the length of $I^P_n(\beta)$. The Huasdorff dimension of the set of given growth rate of the length of $I^P_n(\beta)$ will be determined in this paper.

Topics: Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1611.10111

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50

Sep 21, 2013
09/13

by
R. Dennis Cook; Bing Li

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The central mean subspace (CMS) and iterative Hessian transformation (IHT) have been introduced recently for dimension reduction when the conditional mean is of interest. Suppose that X is a vector-valued predictor and Y is a scalar response. The basic problem is to find a lower-dimensional predictor \eta^TX such that E(Y|X)=E(Y|\eta^TX). The CMS defines the inferential object for this problem and IHT provides an estimating procedure. Compared with other methods, IHT requires fewer assumptions...

Source: http://arxiv.org/abs/math/0508598v1

2
2.0

Jun 28, 2018
06/18

by
Dong Han Kim; Bing Li

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Let $(\Sigma, \sigma)$ be the one-sided shift space with $m$ symbols and $R_n(x)$ be the first return time of $x\in\Sigma$ to the $n$-th cylinder containing $x$. Denote $$E^\varphi_{\alpha,\beta}=\left\{x\in\Sigma: \liminf_{n\to\infty}\frac{\log R_n(x)}{\varphi(n)}=\alpha,\ \limsup_{n\to\infty}\frac{\log R_n(x)}{\varphi(n)}=\beta\right\},$$ where $\varphi: \mathbb{N}\to \mathbb{R}^+$ is a monotonically increasing function and $0\leq\alpha\leq\beta\leq +\infty$. We show that the Hausdorff...

Topics: Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1510.00495

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2.0

Jun 28, 2018
06/18

by
Esa Järvenpää; Maarit Järvenpää; Henna Koivusalo; Bing Li; Ville Suomala; Yimin Xiao

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We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in the torus, we deal with general analytic generating sets.

Topics: Probability, Dynamical Systems, Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1510.06630

3
3.0

Jun 29, 2018
06/18

by
Lulu Fang; Min Wu; Bing Li

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Let $\beta > 1$ be a real number and $x \in [0,1)$ be an irrational number. We denote by $k_n(x)$ the exact number of partial quotients in the continued fraction expansion of $x$ given by the first $n$ digits in the $\beta$-expansion of $x$ ($n \in \mathbb{N}$). It is known that $k_n(x)/n$ converges to $(6\log2\log\beta)/\pi^2$ almost everywhere in the sense of Lebesgue measure. In this paper, we improve this result by proving that the Lebesgue measure of the set of $x \in [0,1)$ for which...

Topics: Number Theory, Probability, Mathematics

Source: http://arxiv.org/abs/1603.01081

2
2.0

Jun 30, 2018
06/18

by
Peng He; Bing Li; Yutao Ma

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Cross-project defect prediction (CPDP) has been deemed as an emerging technology of software quality assurance, especially in new or inactive projects, and a few improved methods have been proposed to support better defect prediction. However, the regular CPDP always assumes that the features of training and test data are all identical. Hence, very little is known about whether the method for CPDP with imbalanced feature sets (CPDP-IFS) works well. Considering the diversity of defect data sets...

Topics: Computing Research Repository, Software Engineering

Source: http://arxiv.org/abs/1411.4228

2
2.0

Jun 30, 2018
06/18

by
Bing Li; Tuomas Sahlsten; Tony Samuel

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An aim of this article is to highlight dynamical differences between the greedy, and hence the lazy, $\beta$-shift (transformation) and an intermediate $\beta$-shift (transformation), for a fixed $\beta \in (1, 2)$. Specifically, a classification in terms of the kneading invariants of the linear maps $T_{\beta,\alpha} \colon x \mapsto \beta x + \alpha \bmod 1$ for which the corresponding intermediate $\beta$-shift is of finite type is given. This characterisation is then employed to construct a...

Topics: Mathematics, Number Theory, Dynamical Systems

Source: http://arxiv.org/abs/1401.7027

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6.0

Jun 30, 2018
06/18

by
Wei Luo; Bing Li; Xiangrong Yin

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We introduce a new sufficient dimension reduction framework that targets a statistical functional of interest, and propose an efficient estimator for the semiparametric estimation problems of this type. The statistical functional covers a wide range of applications, such as conditional mean, conditional variance and conditional quantile. We derive the general forms of the efficient score and efficient information as well as their specific forms for three important statistical functionals: the...

Topics: Mathematics, Statistics Theory, Statistics

Source: http://arxiv.org/abs/1403.5483

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10.0

Jun 28, 2018
06/18

by
Yongkun Li; Pan Wang; Bing Li

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In this paper, we first propose a single-species system with impulsive effects on time scales and by establishing some new comparison theorems of impulsive dynamic equations on time scales, we obtain sufficient conditions to guarantee the permanence of the system. Then we prove a Massera type theorem for impulsive dynamic equations on time scales and based on this theorem, we establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution...

Topics: Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1508.00270

2
2.0

Jun 29, 2018
06/18

by
Lulu Fang; Min Wu; Bing Li

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We prove that almost all real numbers (with respect to Lebesgue measure) are approximated by the convergents of their $\beta$-expansions with the exponential order $\beta^{-n}$. Moreover, the Hausdorff dimensions of sets of the real numbers which are approximated by all other orders, are determined. These results are also applied to investigate the orbits of real numbers under $\beta$-transformation, the shrinking target type problem, the Diophantine approximation and the run-length function of...

Topics: Number Theory, Classical Analysis and ODEs, Mathematics

Source: http://arxiv.org/abs/1603.08402

3
3.0

Jun 30, 2018
06/18

by
Esa Järvenpää; Maarit Järvenpää; Bing Li; Örjan Stenflo

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We calculate the almost sure dimension for a general class of random affine code tree fractals in $\mathbb R^d$. The result is based on a probabilistic version of the Falconer-Sloan condition $C(s)$ introduced in \cite{FS}. We verify that, in general, systems having a small number of maps do not satisfy condition $C(s)$. However, there exists a natural number $n$ such that for typical systems the family of all iterates up to level $n$ satisfies condition $C(s)$.

Topics: Mathematics, Classical Analysis and ODEs, Dynamical Systems

Source: http://arxiv.org/abs/1404.2473

2
2.0

Jun 28, 2018
06/18

by
Peisi Huang; Aniket Joglekar; Bing Li; Carlos E. M. Wagner

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We study the correlation between the value of the triple Higgs coupling and the nature of the electroweak phase transition. We use an effective potential approach, including higher order, non-renormalizable terms coming from integrating out new physics. We show that if only the dimension six operators are considered, large positive deviations of the triple Higgs coupling from its Standard Model (SM) value are predicted in the regions of parameter space consistent with a strong first order...

Topics: High Energy Physics - Experiment, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1512.00068

2
2.0

Jun 29, 2018
06/18

by
Joni Virta; Bing Li; Klaus Nordhausen; Hannu Oja

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Independent component analysis is a standard tool in modern data analysis and numerous different techniques for applying it exist. The standard methods however quickly lose their effectiveness when the data are made up of structures of higher order than vectors, namely matrices or tensors (for example, images or videos), being unable to handle the high amounts of noise. Recently, an extension of the classic fourth order blind identification (FOBI) specifically suited for tensor-valued...

Topics: Statistics, Statistics Theory, Mathematics

Source: http://arxiv.org/abs/1603.05406

2
2.0

Jun 30, 2018
06/18

by
Ming-Hua Li; Zhi-Bing Li

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One of the leading candidates for dark matter is axion or axion-like particle in a form of Bose-Einstein condensate (BEC). In this paper, we present an analysis of 17 high-resolution galactic rotation curves from "The H{\footnotesize I} Nearby Galaxy Survey (THINGS)" data [F. Walter et al., Astron. J. 136, 2563 (2008)] in the context of the axionic Bose-Einstein condensed dark matter model. Assuming a repulsive two-body interaction, we solve the non-relativistic Gross-Pitaevskii...

Topics: Astrophysics of Galaxies, Astrophysics, Cosmology and Nongalactic Astrophysics

Source: http://arxiv.org/abs/1406.1312

4
4.0

Jun 29, 2018
06/18

by
Lulu Fang; Min Wu; Bing Li

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For any real number $x \in [0,1)$, we denote by $q_n(x)$ the denominator of the $n$-th convergent of the continued fraction expansion of $x$ $(n \in \mathbb{N})$. It is well-known that the Lebesgue measure of the set of points $x \in [0,1)$ for which $\log q_n(x)/n$ deviates away from $\pi^2/(12\log2)$ decays to zero as $n$ tends to infinity. In this paper, we study the rate of this decay by giving an upper bound and a lower bound. What is interesting is that the upper bound is closely related...

Topics: Number Theory, Classical Analysis and ODEs, Mathematics

Source: http://arxiv.org/abs/1608.01246

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47

Sep 19, 2013
09/13

by
Bing Li

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Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Source: http://arxiv.org/abs/0708.3777v1

3
3.0

Jun 30, 2018
06/18

by
Peng He; Bing Li; Xiao Liu; Jun Chen; Yutao Ma

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Software defect prediction plays a crucial role in estimating the most defect-prone components of software, and a large number of studies have pursued improving prediction accuracy within a project or across projects. However, the rules for making an appropriate decision between within- and cross-project defect prediction when available historical data are insufficient remain unclear. The objective of this work is to validate the feasibility of the predictor built with a simplified metric set...

Topics: Computing Research Repository, Software Engineering

Source: http://arxiv.org/abs/1402.3873

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4.0

Jun 30, 2018
06/18

by
Lixuan Zheng; Min Wu; Bing Li

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Let $\beta > 1$ and the run-length function $r_n(x,\beta)$ be the maximal length of consecutive zeros amongst the first n digits in the $\beta$-expansion of $x\in[0,1]$. The exceptional set $$E_{\max}^{\varphi}=\left\{x \in [0,1]:\liminf_{n\rightarrow \infty}\frac{r_n(x,\beta)}{\varphi(n)}=0, \limsup_{n\rightarrow \infty}\frac{r_n(x,\beta)}{\varphi(n)}=+\infty\right\}$$ is investigated, where $\varphi: \mathbb{N} \rightarrow \mathbb{R}^+$ is a monotonically increasing function with...

Topics: Dynamical Systems, Number Theory, Mathematics

Source: http://arxiv.org/abs/1704.01317

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3.0

Jun 29, 2018
06/18

by
Lixuan Zheng; Min Wu; Bing Li

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Let $\beta > 1$ be a real number and $(\epsilon_1(x, \beta), \epsilon_2(x, \beta), \ldots)$ be the $\beta$-expansion of a point $x \in (0, 1]$. For all $x \in (0,1]$, let $A(D(x))$ be the set of accumulation points of $\frac{-\log_\beta |I_n(x)|}{n}$ as $n \rightarrow \infty$, where $|I_n(x)|$ is the length of the basic interval of order $n$ containing $x \in (0, 1]$. In this paper, we prove that $A(D(x))$ is always a closed interval for any $x \in (0,1]$. Furthermore, if...

Topics: Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1604.01470

3
3.0

Jun 29, 2018
06/18

by
Yu-Ping Wang; Jia-Qi Zhong; Xi Chen; Run-Bing Li; Da-Wei Li; Lei Zhu; Hong-Wei Song; Jin Wang; Ming-Sheng Zhan

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We present a new scheme for measuring the differential phase in dual atom interferometers. The magnetic field is modulated in one interferometer, and the differential phase can be extracted without measuring the amplitude of the magnetic field by combining the ellipse and linear fitting methods. The gravity gradient measurements are discussed based on dual atom interferometers. Numerical simulation shows that the systematic error of the differential phase measurement is largely decreased when...

Topics: Atomic Physics, Physics

Source: http://arxiv.org/abs/1602.08569

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2.0

Jun 30, 2018
06/18

by
Haijuan Hu; Bing Li; Quansheng Liu

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We first establish a law of large numbers and a convergence theorem in distribution to show the rate of convergence of the non-local means filter for removing Gaussian noise. We then introduce the notion of degree of similarity to measure the role of similarity for the non-local means filter. Based on the convergence theorems, we propose a patch-based weighted means filter for removing impulse noise and its mixture with Gaussian noise by combining the essential idea of the trilateral filter and...

Topics: Computing Research Repository, Computer Vision and Pattern Recognition

Source: http://arxiv.org/abs/1403.2482

2
2.0

Jul 22, 2021
07/21

by
Run-E, Bai; Xiong-Ya, Wang; Jing-Jing, Li; Xiao-Hua, Liu; Da-Bin, Xiong; Dong-Bing, Li; Ling-Long, Cao; Feng-Ming, Yan

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3.0

Jun 28, 2018
06/18

by
Jung-Chao Ban; Chih-Hung Chang; Bing Li

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Let $1

Topics: Dynamical Systems, Mathematics, Number Theory

Source: http://arxiv.org/abs/1510.01117

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3.0

Jun 30, 2018
06/18

by
Bing Li; Yongkun Li; Xiaofang Meng

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In this paper, a class of neutral type competitive neural networks with mixed time-varying delays and leakage delays on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, Banach's fixed point theorem and the theory of calculus on time scales, some sufficient conditions that are independent of the backwards graininess function of the time scale are obtained for the existence and global exponential stability of almost periodic solutions for...

Topics: Classical Analysis and ODEs, Mathematics

Source: http://arxiv.org/abs/1704.04250

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63

Sep 20, 2013
09/13

by
Esa Järvenpää; Maarit Järvenpää; Henna Koivusalo; Bing Li; Ville Suomala

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We calculate the almost sure Hausdorff dimension of the random covering set $\limsup_{n\to\infty}(g_n + \xi_n)$ in $d$-dimensional torus $\mathbb T^d$, where the sets $g_n\subset\mathbb T^d$ are parallelepipeds, or more generally, linear images of a set with nonempty interior, and $\xi_n\in\mathbb T^d$ are independent and uniformly distributed random points. The dimension formula, derived from the singular values of the linear mappings, holds provided that the sequences of the singular values...

Source: http://arxiv.org/abs/1207.3615v2

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3.0

Jun 29, 2018
06/18

by
LongBiao Li; YongFeng Huang; ZhiBin Zhang; Di Li; Bing Li

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Fast Radio Bursts (FRBs) are intense radio flashes from the sky that are characterized by millisecond durations and Jansky-level flux densities. We carried out a statistical analysis on FRBs discovered. Their mean dispersion measure, after subtracting the contribution from the interstellar medium of our Galaxy, is found to be $\sim 660\,\rm pc\,cm^{-3}$, supporting their being from cosmological origin. Their energy released in radio band spans about two orders of magnitude, with a mean value of...

Topics: Astrophysics, High Energy Astrophysical Phenomena

Source: http://arxiv.org/abs/1602.06099

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5.0

Jun 29, 2018
06/18

by
Lulu Fang; Min Wu; Narn-Rueih Shieh; Bing Li

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Given a stochastic process $\{A_n, n \geq 1\}$ taking values in natural numbers, the random continued fractions is defined as $[A_1, A_2, \cdots, A_n, \cdots]$ analogue to the continued fraction expansion of real numbers. Assume that $\{A_n, n \geq 1\}$ is ergodic and the expectation $E(\log A_1) < \infty$, we give a L\'evy-type metric theorem which covers that of real case presented by L\'evy in 1929. Moreover, a corresponding Chernoff-type estimate is obtained under the conditions $\{A_n,...

Topics: Number Theory, Probability, Mathematics

Source: http://arxiv.org/abs/1601.02205

4
4.0

Jun 30, 2018
06/18

by
Ming-Hua Li; Zhi-Bing Li

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We use 12 large quasar group (LQG) samples to investigate the homogeneity of $0.5\lesssim z \lesssim 2$ Universe ($z$ denotes the redshift). We calculate the bias factor $b$ and the two-point correlation function $\xi_{{\rm LQG}}$ for such groups for three different density profiles of the LQG dark matter halos, i.e. the isothermal profile, the Navarro-Frenk-White (NFW) profile, and the (gravitational) lensing profile. We consider the $\Lambda$CDM concordance model of our Universe with...

Topics: High Energy Physics - Phenomenology, Astrophysics, Cosmology and Nongalactic Astrophysics

Source: http://arxiv.org/abs/1412.2998

2
2.0

Jul 22, 2021
07/21

by
Guo-Bao, Wang; Yu-Hua, Chen; Ju-Mei, Wang; Zheng-Guo, Wei; Ya-Xiang, Xu; Bing, Li; Wei-De, Shen

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11

Jun 27, 2018
06/18

by
Xiuli Hu; Pangbei Hong; Bing Li

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Multipath-TCP receives a lot of attention recently and can potentially improve quality of service for both private and commercial users. It leverages the multiple available paths and send packets through all the available paths. The growing of Mutipath TCP has received a growing interest from both researchers who publish a growing number of articles on the topic and the vendors since Apple has decided to use Multipath TCP on its smartphones and tablets to support the Siri voice recognition...

Topics: Networking and Internet Architecture, Computing Research Repository, Distributed, Parallel, and...

Source: http://arxiv.org/abs/1505.02826

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1.0

Jul 22, 2021
07/21

by
Chao, Lin; Bing, Li; Dong, Wang; Guo-Dong, Zhao; Zheng-Guo, Wei; Yu-Hua, Chen; Wei-De, Shen

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10.0

Jun 27, 2018
06/18

by
Yongkun Li; Bing Li; Xiaofang Meng

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In this paper, we first propose a new concept of almost periodic time scales, a new definition of almost automorphic functions on almost periodic time scales, and study some their basic properties. Then we prove a result ensuring the existence of an almost automorphic solution for both the linear nonhomogeneous dynamic equation on time scales and its associated homogeneous equation, assuming that the associated homogeneous equation admits an exponential dichotomy. Finally, as an application of...

Topics: Mathematics, Classical Analysis and ODEs, Dynamical Systems

Source: http://arxiv.org/abs/1504.02312

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61

Jul 20, 2013
07/13

by
Jia-Jun Ma; Fen-Zhuo Guo; Qian Yang; Yan-Bing Li; Qiao-Yan Wen

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In this paper, we present a quantum strong coin flipping protocol. In this protocol, an EPR pair and a quantum memory storage are made use of, and losses in the quantum communication channel and quantum memory storage are all analyzed. We obtain the bias in the fair scenario as a function of $p$, where $p$ is the probability that the particle in Bob's quantum memory storage is lost, which means our bias varies as the degree of losses in the quantum memory storage changes. Therefore we call our...

Source: http://arxiv.org/abs/1107.1455v3

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Oct 6, 2014
10/14

by
WU, BING-LI; LI, CHUN-QUAN; DU, ZE-PENG; ZHOU, FEI; XIE, JIAN-JUN; LUO, LIE-WEI; WU, JIAN-YI; ZHANG, PI-XIAN; XU, LI-YAN; LI, EN-MIN

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This article is from Molecular Medicine Reports , volume 10 . Abstract Neutrophil gelatinase-associated lipocalin (NGAL) is a member of the lipocalin superfamily; dysregulated expression of NGAL has been observed in several benign and malignant diseases. In the present study, differentially expressed genes, in comparison with those of control cells, in the mRNA expression profile of EC109 esophageal squamous cell carcinoma (ESCC) cells following NGAL overexpression were analyzed by multiple...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4148386

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8.0

Jul 22, 2021
07/21

by
Bing-Li 1 , Yan; Yi-Liang 1 , Zeng; Lian-Kui 1 , Ren; Tong-Shun 2 , Wang; Li-Hua 3 , Xie

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3.0

Jul 22, 2021
07/21

by
Hong-Xian, Cha; Gang, Liu; Chen, Zhang; Yan-Yun, Wang; Zheng-Guo, Wei; Bing, Li; Yu-Hua, Chen; Ya-Xiang, Xu; Wei-De, Shen

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4.0

Jul 22, 2021
07/21

by
Bing, Li; Fan, Sun; Shan-Shan, Tao; Jia-Feng, Xia; Chong-Jun, Ye

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28

Jun 28, 2018
06/18

by
Fengpeng An; Guangpeng An; Qi An; Vito Antonelli; Eric Baussan; John Beacom; Leonid Bezrukov; Simon Blyth; Riccardo Brugnera; Margherita Buizza Avanzini; Jose Busto; Jinchang Liu; Qian Liu; Shubin Liu; Shulin Liu; Paolo Lombardi; Yongbing Long; Haoqi Lu; Jiashu Lu; Jingbin Lu; Junguang Lu; Anatael Cabrera; Bayarto Lubsandorzhiev; Livia Ludhova; Shu Luo; Vladimir Lyashuk; Randolph Mollenberg; Xubo Ma; Fabio Mantovani; Yajun Mao; Stefano M. Mari; William F. McDonough; Hao Cai; Guang Meng; Anselmo...

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The Jiangmen Underground Neutrino Observatory (JUNO), a 20 kton multi-purpose underground liquid scintillator detector, was proposed with the determination of the neutrino mass hierarchy as a primary physics goal. It is also capable of observing neutrinos from terrestrial and extra-terrestrial sources, including supernova burst neutrinos, diffuse supernova neutrino background, geoneutrinos, atmospheric neutrinos, solar neutrinos, as well as exotic searches such as nucleon decays, dark matter,...

Topics: Instrumentation and Detectors, Physics, High Energy Physics - Experiment

Source: http://arxiv.org/abs/1507.05613

134
134

Jul 20, 2013
07/13

by
Xiangrong Yin; Bing Li

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We introduce a class of dimension reduction estimators based on an ensemble of the minimum average variance estimates of functions that characterize the central subspace, such as the characteristic functions, the Box--Cox transformations and wavelet basis. The ensemble estimators exhaustively estimate the central subspace without imposing restrictive conditions on the predictors, and have the same convergence rate as the minimum average variance estimates. They are flexible and easy to...

Source: http://arxiv.org/abs/1203.3313v1

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28

Jun 29, 2018
06/18

by
Lulu Fang; Min Wu; Bing Li

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Let $\beta > 1$ be a real number and $x \in [0,1)$ be an irrational number. Denote by $k_n(x)$ the exact number of partial quotients in the continued fraction expansion of $x$ given by the first $n$ digits in the $\beta$-expansion of $x$ ($n \in \mathbb{N}$). In this paper, we show a central limit theorem and a law of the iterated logarithm for the random variables sequence $\{k_n, n \geq 1\}$, which generalize the results of Faivre and Wu respectively from $\beta =10$ to any $\beta >1$.

Topics: Number Theory, Probability, Mathematics

Source: http://arxiv.org/abs/1601.02202

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72

Sep 21, 2013
09/13

by
Bing Li; Tomas Persson; Baowei Wang; Jun Wu

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We consider the distribution of the orbits of the number 1 under the $\beta$-transformations $T_\beta$ as $\beta$ varies. Mainly, the size of the set of $\beta>1$ for which a given point can be well approximated by the orbit of 1 is measured by its Hausdorff dimension. That is, the dimension of the following set $$ E\big({\ell_n}_{n\ge 1}, x_0\big)=\Big{\beta>1: |T^n_{\beta}1-x_0| 1}$.

Source: http://arxiv.org/abs/1301.3595v2

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49

Sep 23, 2013
09/13

by
Bing Li; Yuexiao Dong

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Sufficient dimension reduction methods often require stringent conditions on the joint distribution of the predictor, or, when such conditions are not satisfied, rely on marginal transformation or reweighting to fulfill them approximately. For example, a typical dimension reduction method would require the predictor to have elliptical or even multivariate normal distribution. In this paper, we reformulate the commonly used dimension reduction methods, via the notion of "central solution...

Source: http://arxiv.org/abs/0904.3842v1

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Jun 27, 2018
06/18

by
Antti Käenmäki; Bing Li; Ville Suomala

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We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions. We generalize and extend several existing results in this area.

Topics: Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1504.05354

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51

Jul 20, 2013
07/13

by
Bing Li; Andreas Artemiou; Lexin Li

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We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into slices and use a modified form of support vector machine to find the optimal hyperplanes that separate them. These optimal hyperplanes are then aligned by the principal components of their normal vectors. It is proved that the aligned normal vectors provide an unbiased, $\sqrt{n}$-consistent, and...

Source: http://arxiv.org/abs/1203.2790v1

Biodiversity Heritage Library

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1.2K

Feb 16, 2011
02/11

by
jiang xi sheng nong ye ting zhi bao zhi jian chu jiang xi nong xue yuan kun chong bing li jiao yan zu

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Jul 22, 2021
07/21

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Bing, Li; Kuni-Katu, Hamano; Osameru, Ninagi; Wa-Zu-Rou, Hara; Wei-De, Shen

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Jul 22, 2021
07/21

by
Hai-Tao, Liu; Bing, Li; Guo-Dong, Zhao; Ting, Zhang; Rui-Na, Gao; Zheng-Guo, Wei; Wei-De, Shen

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Sep 20, 2013
09/13

by
Bing Li; Weihua Xiong; Weiming Hu

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Computational color constancy is a very important topic in computer vision and has attracted many researchers' attention. Recently, lots of research has shown the effects of high level visual content information for illumination estimation. However, all of these existing methods are essentially combinational strategies in which image's content analysis is only used to guide the combination or selection from a variety of individual illumination estimation methods. In this paper, we propose a...

Source: http://arxiv.org/abs/1207.3142v2