Recent Activities
- Seminar: Optimal Dividend Distribution under Markov-regime Switching
-
Speaker: Dr. Jiang Zhengjun, United International College
- Time: 2:00 pm - 3:00 pm, Dec 8 (Wednesday), 2010
- Absract:
We consider optimal dividend distribution for a company whose cumulative net revenues evolve as a Markov-regime switching Brownian motion with drift and discounting rate. The goal of the company is to maximize the expected cumulative discounted dividends until the first time that cash reserve (cumulative net revenues minus cumulative dividends) is zero. For positive drift in each regime, a regime-dependent barrier strategy is optimal and value function is the fixed point of a contraction. For negative drift in some regimes, optimal dividend policy is different.
- Seminar: Statistical Applications to Financial Risk Management
-
Speaker: Dr. Aijun Zhang, Bank of America
- Time: 2:00 pm, Wed, June 30, 2010
- Absract:
Statistical theory and methods are widely used in banking and finance. Based on my experiences in Bank of America, I would share two kinds of statistical developments for (a) financial crime detection and (b) post-crisis credit risk modeling. I would also share some visualization examples that make no more boring data.
- Seminar: Quadratic Forms in Statistics
-
Speaker: Prof. Kai-Tai Fang, United International College
- Time: 9:00 am, Wed, June 30, 2010
- Absract:
Quadratic forms have played as important role in statistics, especially in analysis of variance, regression analysis, multivariate analysis and data mining. How to find distributions of various quadratic forms and to show independence among quadratic forms are very important in theory of statistics. In this talk I introduce some basic knowledge of the quadratic forms and some important/popular theorems, like Cochran's theorem and Craig's theorem.
- Seminar: Basins of Attraction in a Cournot Duopoly Map: Analysis, Linear Algebra, and Economics
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Speaker: Prof. Douglas R. Anderson , United International College
- Time: 9:00 am, Wed, June 23, 2010
- Absract:
We will introduce the economic concept of a Cournot Duopoly, first introduced by French economist Cournot in 1838. Then we will analyze a nonlinear discrete Cournot duopoly introduced by Austrian economist Koppel in 1996. In particular, we will use analysis methods from difference equations and linear algebra to understand the behavior of the system in relation to certain fixed points of the system. Using the professional software package Mathematica 7.0, we will illustrate graphically the effects that various eigenvalues of the linearization have on the system.
- Seminar: DYNAMIC TRAFFIC INFORMATION RESEARCH BASED ON DATA MINING OF FLOATING CARS
-
Speaker: Mr Wang, Rong-Jie, United International College
- Time: 2:00-3:00 pm, Wed, Apr. 21, 2009
- Absract:
The research about vehicle data based on floating point in real-time traffic information has just started in China in the last two years, navigation products with dynamic real-time traffic information have appeared on the market w in China, but some products with dynamic real-time traffic information is not accurate , and traffic information didn抰 timely update and the information on a low coverage. In response to solve the issues above, we build traffic analysis model based on the floating car datas and achieve dynamic real-time traffic information update and provide owners for dynamic real-time traffic information service at Shenzhen.
- Seminar: An Introduction to Numerical Integration and Its Application
-
Speaker: Dr Li, Xian-Juan, United International College
- Time: 3:00-4:00 pm, Wed, Apr. 14, 2009
- Absract:
The talk give a brief introduction to numerical integration and its application. First, we describe two main kinds of methods, Newton Cotes and Gauss type quadrature, by presenting the method??s construction and some key features theoretically. Second, by laying their application on the solution of Voterra equations, and analyzing the precision, stability, computation cost, and applicability, we catch the practical value of such methods. Finally, we try to propose a new method to solve long time Voterra equations.
- Seminar: Young's Integral Inequality with Upper and lower Bounds
-
Speaker: Dr. Robert DOUGLAS, United International College
- Time: 3:00-4:00 pm, Wed, Nov 31, 2009
- Absract:
Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new presentation. The corresponding results for difference equations are given, and several examples are included. We extend these results to piecewise-monotone functions as well.
- Seminar: Technique of Inverse Substructuring Dynamic Analysis for Complex Mechanical Structures
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Speaker: Dr. Lu, Guang Qing, United International College
- Time: 3:00-4:00 pm, Wed, Nov 25, 2009
- Absract:
Dynamic analysis is always a focus in the design and manufacturring of mechanical and or electric products with vibratory responses and noises, especially for the ones with complex mechanical structures. Conventional theories and their applications, such as modal analysis, FEM, and statistical energy or power flow approaches, etc., estimate system dynamic responses (vibration & noise) due to excitations (dynamic forces) in a positive direction from component (substructures ) level to system (products) level. In the project to be presented, a new method C Inverse Substructuring Dynamic Analysis approach is established. It has much less the shortcomings existing in the convential theories. In the study, a unified theory for coupling structural-acoustic components derived from different sources is formulated on the basis of a two-level substructures. It applies the inverse scheme to solving vibration and noise problem. The developed set of formula can be widely used to determine either individual component frequency response function (FRF) and systmatic responses and trouble-shooting on dynamic quality of products assembly. The inverse scheme is verified via either lumped mass model or experimental study on the products of real vehicles. At the end of this presentation, some current works will be also introduced.
- Seminar: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
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Speaker: Dr. Li, Xian Juan, United International College
- Time: 3:00-4:00 pm, Wed, Nov 18, 2009
- Absract:
In this paper, our work is focused on the theoretical investigation and numerical computation of the fractional diffusion equations (FDEs), which are of interest not only in their own right, but also in that they constitute the principal parts in many other FPDEs. The main contribution of this work is threefold:
First, we introduce a new family of functional spaces defined by using fractional derivatives, and prove that these spaces are equivalent to usual Sobolev spaces in the sense that their norms are equivalent. Based on these spaces the variational formulation of the initial boundary value problems of FDEs are developed, and the existence and uniqueness of the weak solution are established by using classical theory for elliptic problems. The obtained results indicate that in the case of Riemann-Liouville definition, the equivalence between FDEs and weak formulation does not require any initial conditions. This contrasts with the case of Caputo definition, in which the initial condition has to be integrated into the weak formulation in order to establish the equivalence.
Second, based on the proposed weak formulation, we investigate the numerical solutions of the time fractional diffusion equation (TFDE). Essentially, the TFDE differs from the standard diffusion equation in the time derivative term. In TFDE, the first-order time derivative is replaced by a fractional derivative, making the problem global in time. We propose a spectral method in both temporal and spatial discretizations for this equation. The convergence of the method is proven by providing a priori error estimate. Numerical tests are carried out to confirm the theoretical results. Thanks to the spectral accuracy in both space and time of the proposed method, the storage requirement due to the ``global time dependence" can be considerably relaxed, and therefore calculation of the long-time solution becomes possible.
Third, we consider the fractional Nernst-Planck equation, which describes the anomalous diffusion in the movement of the ions in neuronal system. A method combining finite differences in time and spectral element methods in space is proposed to numerically solve the underlying problem. The detailed construction and implementation of the method are presented. Our numerical experiences show that the convergence of the proposed method is exponential in space and (2-alpha)-order (0< alpha < 1) in time. Finally, a practical problem with realistic physical parameters is simulated to demonstrate the potential applicability of the method.
- Seminar: Test Theory and Rule Space Model
-
Speaker: Dr. Li, Feng, United International College
- Time: 3:00-4:00 pm, Wed, Nov 11, 2009
- Absract:
Classical Test Theory(CTT), Item Response Theory(IRT) and Cognition Diagnosis Model(CDM)
are three stages in history of Test Theory. We discussed reliability, validity,
difficulty and other critical ideas in Test theory and their operational
definition in CTT and IRT. As one kind of important CDM, RSM can describe
examinees' knowledge state and attribute master probability. In general,
attribute means necessary knowledge and skill for some questions. According
to results of the RSM, teachers and parents would help students in a effective way.
- Seminar: The Pricing of Options and Futures
-
Speaker: Mr Fu, Song Feng, United International College
- Time: 3:00-4:00 pm, Wed, Nov 4, 2009
- Absract:
Firstly, introduce the notation of options and futures.
Secondly, discuss two basic pricing methods for options:
Black-Scholes model and binomial pricing model.
Finally, introduce some new types of exotic options and the pricing formula is given.
Then we are focused on barrier options and Asian options for application.
- Seminar: Modified Tangential Frequency Filtering Decomposition and its Fourier Analysis
-
Speaker: Dr. Niu, Qiang, United International College
- Time: 3:00-4:00 pm, Wed, Oct 28, 2009
- Absract:
A modified tangential frequency filtering decomposition (MTFFD) preconditioner is proposed.
The optimal order of the modification and the optimal relaxation parameter is determined
by Fourier analysis. With the choice of optimal order of modification,
the Fourier results show that the condition number of the preconditioned matrix is O(h^{-2/3}),
and the spectrum distribution of the preconditioned matrix can be predicted by the Fourier results.
The performance of MTFFD preconditioner is compared with tangential frequency filtering (TFFD)
preconditioner on a variety of large sparse matrices arising from the discretization of PDEs
with discontinuous coefficients. The numerical results show that the MTFFD preconditioner
is much more efficient than the TFFD preconditioner.
- Seminar: Estimate for Finite Time Ruin Probability with Insurance and Financial Risks
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Speaker: Mr Zhou, Min, United International College
- Time: 3:00-4:00 pm, Wed, Oct 21, 2009
- Absract:
It is well known that the ruin theory is the key component of the risk probability and much attention has been paid to issues of ruin theory. One of the hot issues of this research is the asymptotic estimation of ruin probability of an insurer. Recently, a lot of papers have been published on the asymptotics estimates of ruin probability of an insurer who is exposed to a stochastic economic environment. This environment has two kinds of risk, which were called by Norberg(1999) as insurance risk and financial risk, respectively. Tang and Tsitsiashvili(2004) obtained several precise asymptotics estimates for the finite time ruin probability, in which insurance risk belongs to the intersection of the long-tailed distribution class and dominated-variation distribution class. Later, Chen and Xie(2005) used a simpler method to prove the same result under a weaker assumption on the financial risk. Under my tutor Professor Wang Yuebaos guidance and help, we give estimates for the finite time ruin probability with insurance and financial risks for two cases.
- Seminar: COMPREHENSIVE FINANCIAL EVALUATION SYSTEM OF LISTED COMPANIES BASED ON DATA-DRIVEN
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Speaker: Miss Lenon Li, Jian Xia, United International College
- Time: 3:00-4:00 pm, Wed, Oct 14, 2009
- Absract:
This paper is mainly researched at the performance of listed companies and giving
a new method to this problem. Firstly, a comprehensive evaluation system of
listed companies has been built in four aspects.
The company scores have been calculated with Analysis Hierarchy
Process method. Secondly, the weighting of financial indicators
has been computed by using the "entropy" concept. On this basis,
670 listed companies were analyzed, then, we can get their rankings and scores.
- Schedule of seminars for this semester
Date: |
Speaker: |
14 October 2009 |
Li Jian Xia |
21 October 2009 |
Zhou Min |
28 October 2009 |
Niu Qiang |
04 November 2009 |
Fu Songfeng |
11 November 2009 |
Dr. Feng Li |
18 November 2009 |
Dr. Xianjuan Li |
25 November 2009 |
Dr. Lv Guangqing |
- 10 ISCI members joined the 10th Chinese Conference on Uniform Design and Applied Statistics
- 10 members in ISCI attended the 10th Chinese Conference on Uniform Design and
Applied Statistics held during July 13 to July 17, 2009 in Xi’an. The conference was organized by
Xi’an University of Finance and Economics, the Uniform Design Association of China and UIC.
In this conference, Prof. Fang gave an invited lecture “On Number-Theoretic Method in Statistics Simulation”.
In addition, ISCI members gave six talks in this conference as follows:
a. "Comparison between different types of experimental designs" (given by Yongdao Zhou);
b. "E(f_NOD)" 最优混水平超饱和设计构造 (given by Haiyin Zhou);
c. "均匀实验设计的引用综述" (given by Guoqiu Zhang);
d. "分布式系统中H_∞滤波的最优融合" (given by Wenxuan Wang);
e. "Comparison of different distant matrices in clustering for distinguishing TCM fingerprints" (given by Xiaoling Peng);
f. "Comparison between trading style of institution and individual investor: evidence from china" (given by PingHe).
- Seminar: 3He from Moon: A Safe and Clean Energy Source for Future Generations and the goal of the Chinese Chang'e Project
-
Speaker: Dr Tsang Kang-Too Ken , United International College
- Time: 2:00-3:00 pm, Wed, Apr. 22, 2009
- Absract:
Sometime around 2050, due to shortage of fossil fuels and their greenhouse effects,
human society has to make the transition to other energy sources.
Nuclear fission energy can provide a temporary solution but short of a permanent
one because of the limited supply of fissible uranium and the proliferation problem
that comes with it. Other forms of alternative energy like solar, wind or biofuels
are either too expensive or diffuse in power density that they can only play a supplementary role.
The only viable energy source that can assume a dominant role is nuclear fusion,
if current international R&D effort in fusion technology is carried out as planned
and achieving its goal successfully.
Of all fusion fuels that are technologically feasible in the near future,
helium-3 is regarded as ideal judging from its high power conversion efficiency,
low radioactivity, and its benign proliferation impact. However,
terrestrial supply of helium-3 is extremely limited,
because it rarely occurs in nature and is produced only as the decayed product
of tritium. By one estimate, in year 2000 the total reserve of helium-3 on earth is just about 500 kg.
Significant amount of lunar helium-3 is well documented in literature.
Helium-3 concentration from Apollo and USSR lunar soil samples are verified by scientific studies.
Existing analyses published indicate that there are at least 1,000,000 tons of helium-3 imbedded on
the lunar surface. This amount of lunar helium-3 is significant because it is estimated that fusion
energy released from 30 tons of helium-3 is enough to satisfy the electric power consumed by USA for a year.
There is roughly 10 times more energy contained in the lunar helium-3 than in all the economically recoverable
fossil fuels on the Earth. Even at a cost of 1 billion US dollar per ton of helium-3,
in terms of energy it is equivalent to oil at US$7 per barrel.
In this talk I will give an overall view of the issues involved,
both scientific and non-scientific aspects of them. In particular,
I will discuss how the Chinese Chang'e Project will contribute to the exploration of
this important energy resource form the Moon.
- Seminar: PROBABILITIES ESTIMATES FOR BROWNIAN PROCESS WITH POLYNOMIAL
DRIFT AND TIME ESTIMATES FOR LEVY PROCESS ON P-ADICS
-
Speaker: Dr. Jiao Li, United International College
- Time: 2:00-3:00 pm, Wed, April 1, 2009
- Seminar:In search of the underlying structure in data:
Facet Theory and multidimensional scaling as an alternative to factor analysis
-
Speaker: Arie Cohen, United International College
- Time:2:30-4:00 pm, Wed, Nov 26, 2008
- Absract:
Scientists in all disciplines attempt to identify general principles that govern various sets of phenomena or variables.
In social sciences various methods have been offered in order to achieve this task.
These attempts relate to the search for latent variables, factors, principal components
or underlying structures. One comprehensive response to this issue is Facet Theory.
Facet Theory is a systematic approach for coordinating theory and research.
This goal is achieved by employing mapping sentence - a mechanism for constituting a
definitional framework for all relevant attributes of a phenomenon in order to
construct empirical structural hypotheses – and testing its validity through multidimensional scaling.
In the lecture I will demonstrate few examples of mapping sentences and ways to validate
them through the statistical procedure of multidimensional scaling. Next I will
contrast multidimensional scaling as an alternative to factor analysis, focusing
on conceptual and psychometric characteristics of these approaches and highlighting
their differences in the context of several psychometric measures.
Finally, I will demonstrate the use of facet theory in the process of developing a new scale for depression.
- Seminar: Grouped Dirichlet Distribution: A New Tool for Incomplete Categorical Data Analysis
-
Speaker: Guo-Liang Tian, Division of Biostatistics, University of Maryland Greenebaum Cancer Center
- Time: 2:30-3:30 pm, Friday, June 6, 2008
- Absract: Motivated by the likelihood functions of several incomplete categorical data,
this article introduces a new family of distributions, grouped Dirichlet distributions (GDD),
which includes the classical Dirichlet distribution (DD) as a special case. First, we develop
distribution theory for the GDD in its own right. Second, we use this expanded family as a new
tool for statistical analysis of incomplete categorical data. Starting with a GDD with two partitions,
we derive its stochastic representation that provides a simple procedure for simulation.
Other properties such as mixed moments, mode, marginal and conditional distributions are also derived.
The general GDD with more than two partitions is considered in a parallel manner.
Three data sets from a case-control study, a leprosy survey, and a neurological study are used to
illustrate how the GDD can be used as a new tool for analyzing incomplete categorical data.
Our approach based on GDD has at least two advantages over the commonly used approach based on
the DD in both frequentist and conjugate Bayesian inference:
(a) In some cases, both the maximum likelihood and Bayes estimates have closed-form expressions
in the new approach, but not so when they are based on the commonly-used approach;
and (b) even if a closed-form solution is not available, the EM and data augmentation algorithms
in the new approach converge much faster than in the commonly-used approach.
- About Speaker:
Dr. Guo-Liang Tian is a senior biostatistician and faculty member in the division of Biostatistics,
University of Maryland Greenebaum Cancer Center. His research interest covers areas of Incomplete categorical
data analysis, Constrained parameter models and Variables selection, Sample surveys with sensitive questions,
Non-iterative Monte Carlo methods, IBF Sampler and MCMC, Bayesian Analysis in Medicine, EM and MM algorithms,
Reliability, prediction inferences and finance statistics and so on.
- Seminar: Hierarchical Segmentation of Multimodality MRI Human Brain Tumors
- Towards a Comprehensive Characterization of Tumors via Structural and Diffusion
Tensor Magnetic Resonance Imaging
-
Speaker: Dr. Cai Hong-Min
- Time: 2008. 05.21, 16:00-17:00
- Abstract: The talk aims at creating a multi-modal profile of tissue
components that will not only help in delineating tumor and edema from healthy
tissue, distinguishing between enhancing and non-enhancing tumors, but also
produce a probabilistic characterization of tissue around the tumor to determine
abnormal regions that may have a tendency to convert to tumor in the future. The
multimodality profile is generated by a combination of five structural MR
images, FLAIR, T1, Gadolium enhanced T1 (GAD), DWI and B0, and two scalar maps,
including Fractional Anisotropy(FA) and Apparant Diffusion Coefficient (ADC) computed from diffusion tensor images (DTI), creating a seven-dimensional
intensity feature vector for each voxel. The tumor-grade- specific ground truth
identified by doctors, are trained through a newly proposed hierarchical Support
Vector Machine (SVM) based on spatial and texture features, the system
achieves near-perfect characterization of tumor components (enhancing and
non-enhancing), edema and healthy tissue with a 90 95 % classification rate
together with almost 0 false positive rate. In addition to this hard tissue
segmentation, the framework also provides probability profile for tissue,
indicating unhealthy regions that may have a tendency to convert to tumorous
tissue, hence providing a better characterization of the resection margin. The
classifiers, trained on a dataset of 22 patients, can be applied to a new
dataset with a success rate of 80% for classification, as has been tested using
a leave-one-out paradigm on these 22 datasets. The multimodality processing
pipeline that we have designed is general and is applicable to any study that
has multi-modal data acquisition
- About Speaker:
Dr. CAI Hongmin received his B.S and M.S degrees both from Harbin Institute of
Technology, China. He obtained his PhD degree in applied mathematics from the University
of Hong Kong in 2007.
His research interest includes biomedical image analysis and biometric recognition.
- Seminar: Two-level Multiple Discrete
Continuous Model
-
Speaker: Dr. Jiu-Kun Li
- Time: 3:00-4:00pm,Wednesday, May 14th, 2008
- Absract: This paper developed a two-level multiple discrete-continuous
model. Details of the model and its estimation method are explained and illustrated by an example. The model may be
used to investigate activity choices and time allocations in activity-travel behavior
modeling; product and service choices and money allocation in marketing.
- About Speaker:
Dr. Li Jiu Kun is currently a visiting scholar in UIC. She obtained her PhD
degree from The University of Hong Kong. Her research interests are statistics and its
applications, optimization, logistics and supply chain management, and transportation
modeling.
- Seminar: Camera Calibration with Spheres: Linear Approaches
-
Speaker: Dr. Amy Zhang
- Time: 3:00-4:00pm,Wednesday, Apr. 16th, 2008
- Abstract: This paper addresses the problem of camera
calibration from spheres. By studying the relationship between the dual
images of spheres and that of the absolute conic, a linear solution has been
derived from a recently proposed non-linear semi-definite approach. However,
experiments show that this approach is quite sensitive to noise. In order to
overcome this problem, a second approach has been proposed, where the
orthogonal calibration relationship is obtained by regarding any two spheres
as a surface of revolution. This allows a camera to be fully calibrated from
an image of three spheres. Besides, a conic homography
is derived from the imaged spheres, and from its eigenvectors the orthogonal
invariants can be computed directly. Experiments on synthetic and real data
show the practicality of such an approach.
- Seminar: Modeling of lunar Helium-3 distribution with remote sensing data from ChangˇE-1
-
Speaker: Prof. Tsang Kang Too
- Time: 2008.04.02, 16:00-17:00
- Abstract: Sometime around 2050, due to shortage of fossil fuels and
their green house effects, human society has to make the transition to
other energy sources. Nuclear energy can provide a temporary solution
but short of a permanent one because of the limited supply of fissible
uranium and the proliferation problem that comes with it. Other forms of
alternative energy like solar, wind or biofuels are either too expensive
or diffuse in power density that they can only play a supplementary
role. The only viable energy source that can assume a dominant role is
nuclear fusion, if current international R&D effort in fusion technology
is carried out as planned and achieving its goal successfully.[Ref1]
- Workshop for Statistics Studentsˇ Career Development 2008
- Date: 30/3/2008 (Sunday)
- Time: 2-4pm
-
- Invited speakers:
- (I) Professor Minggao Gu, Department of Statistics, The Chinese University of
Hong Kong
- (II) Iris and Timothy, graduate from Math
department, HKBU, currently working in standard chartered bank and DBS bank
- (III) Prof. Cheng, Visiting Professor, United
International College, Zhuhai, China and Academia Sinica, Taipei, Taiwan
-
- Title:
- (I) Kelly Formula for Investment
- (II) Sharing as a university graduate in Statistics
- (III) The Statistical Market in Taiwan
-
- Abstract:
- (I) In
this talk I will introduce the concept of probability, expectation and the
optimal amount of investment formula in an advantaged game known as the Kelly formula. Examples of real life random events such as Mark 64 and horse racing
will be introduced.
- (II) We will share stories of us and our former classmates after we graduate
from Mathematics Department, HKBU.
- (III) The market for statisticians has always been very good in Taiwan, even in
the recent years of low economic growth in the early twenty-first century. There
are several types of job in the Taiwan market for statistics graduates that keep
on consistent demands, and a few new types emerge with growing demands.
- SeminarQuery Result Ranking over E-commerce Web Databases
- Speaker: Dr. Su Wei-Feng
- Time: 2008. 03.19, 16:00-17:00
- Abstract: Query Result Ranking over E-commerce Web Databases
Abstract: To deal with the problem of too many results returned from an
E-commerce Web database in response to a user query, this paper proposes
a novel approach to rank the query results. Based on the user query, we
speculate how much the user cares about each attribute and assign a
corresponding weight to it. Then, for each tuple in the query result,
each attribute value is assigned a score according to its
¨desirableness〃 to the user. These attribute value scores are combined
according to the attribute weights to get a final ranking score for each
tuple. Tuples with the top ranking scores are presented to the user
first. Our ranking method is domain independent and requires no user
feedback. Experimental results demonstrate that this ranking method can
effectively capture a userˇs preferences.
- Seminar: A learning-based approach to algorithm selection
- Speaker: Dr. Guo Haipeng
- Time: 3:00-4:00pm,Wednesday, Mar.5th, 2008
Abstract: The algorithm selection problem aims at selecting the best algorithm for a given
computational problem instance according to some characteristics of the instance. In
this talk we will look at a machine learning-based inductive approach to solve the
algorithm selection problem. Algorithm selection for sorting and the MPE (Most Probable
Explanation) problem are used as cases studies. In sorting, instances with an existing
order are easier for some algorithms. We have studied different presortedness
measures, designed algorithms to generate permutations with a specified existing order
uniformly at random, and applied various learning algorithms to induce sorting
algorithm selection models from runtime experimental results. In the MPE problem, the
instance characteristics we have studied include size and topological type of the
network, network connectedness, skewness of the distributions in Conditional
Probability Tables (CPTs), and the proportion and distribution of evidence variables.
The MPE algorithms considered include an exact algorithm (clique-tree propagation),
two stochastic sampling algorithms (MCMC Gibbs sampling and importance forward
sampling), two search-based algorithms (multi-restart hill-climbing and tabu search),
and one hybrid algorithm combining both sampling and search (ant colony optimization).
- Seminar: Some Ideas on Uniform Design of Mixture Experiments
- Speaker: Mr. Ning Jian-Hui
- Time: 2:00-3:00 p.m., Wednesday, Dec. 05, 2007
- Four-Points Innovation Laboratory Collaborates with local Enterprise
- The Four-Points Innovation Laboratory (FPIL) under the Institute of Statistics and Computational Intelligence (ISCI) was set up in September 2007 by Prof. Fang Kai Tai.
In mid-September and early October, the FPIL had their first collaboration program with a famous Zhuhai enterprise, the Zhuhai Jiuzhou Port Administration Group Co.
Led by Dr. Peng Xiaoling and Dr. Dennis, Zhang. On Nov. 1, executives from the Jiuzhou Port Group attended the project report meeting at UIC. Mr. Mo Nenglin,
Chairman of the JIuzhou Port Group commented that the survey was conducted carefully and professionally. He believed that the data collected was helpful to
the Jiuzhou Port Group in various aspects. They were expecting to have further collaboration with the FPIL.
- more details: UIC News Zhuhai TV News (video)
- Seminar: Reliability and Statistics
- Speaker: Prof. Y. L. Tong, Georgia Institute of Technology
- Time: 2:00-3:00 p.m., Wednesday, Nov. 21, 2007
Abstract: In this expository talk we will provide an overview on the interface between certain
developments in the areas of reliability and multivariate statistics. More
specifically, we will illustrate:
(a) How the concept of association of random variables, originally motivated by an
applied problem in reliability theory, has enhanced the studies of positive dependence
and has provided solutions to many interesting problems in statistics.
(b) How majorization-related probability inequalities in statistics have been applied to
obtain useful results in system reliability theory.
Some of the key references and basic ideas will be discussed, and a few theorems will be
stated. However, due to the limited time, no mathematical details will be given.
- [poster] [photos]
- Seminar: Star Matching and Distance Two Labelling
-
Speaker: Dr. Wen-Song Lin
- Time:2:00-3:00 pm, Wednesday, Nov 7, 2007
Abstract: In this talk, we introduce a new graph parameter, called
t-star-matching number of a graph. We design a polynomial time
algorithm to compute the t-star-matching number for any graph. We
then relate the 4-star-matching number of a graph to the so called
L(2,1)-labeling number of a graph. This leads to a polynomial time
algorithm to compute the L(2,1)-labeling numbers of certain classes
of graph.
- Seminar: Modeling of Covariance Structures in
Generalized Estimating Equations for Longitudinal
-
Speaker: Dr. Hua-Jun Ye
- Time:2:00-3:00 pm, Wednesday, Oct 31, 2007
Abstract: When used for modeling longitudinal data generalized estimating equations specify a
working structure for the within-subject covariance matrices, aiming to produce
efficient parameter estimators. However, misspecification of the working covariance
structure may lead to a large loss of efficiency of the estimators of the mean
parameters. In this paper we propose an approach for joint modeling of the mean and
covariance structures of longitudinal data within the framework of generalized
estimating equations. The resulting estimators for the mean and covariance parameters
are shown to be consistent and asymptotically Normally distributed. Real data analysis
and simulation studies show that the proposed approach yields efficient estimators for
both the mean and covariance parameters.
- Seminar: Inverse Optimization Theory, Methods and Applications
-
Speaker: Prof. J.Z. Zhang
- Time: 2:00-3:00 pm, Wednesday, Oct 24, 2007
Abstract: In this talk, the speaker shall first introduce the concept of inverse optimization and
formulate such problems mathematically. Some applications shall be followed to justify
usefulness of the study. Then some general methods shall be discussed. Furthermore, in
order to achieve high efficiency, special methods will be given to deal with each type
of particular inverse optimization problems. Some extensions and further development,
such as system improvement problems and partial inverse optimization problems, shall be
mentioned to conclude this talk.
- Seminar: Testing Hypotheses with Contingency Tables Analysis
-
Speaker: Philip E. Cheng,
Institute of Statistical Science, Academia Sinica
- Time: 2:00-3:00 pm, Wednesday, Oct 17, 2007
Abstract:
A recent study of log-likelihood identity in terms of mutual information yields useful
applications in statistical inference. For testing association in a 2 x 2 table (Pearson,
1904; Fisher, 1934), it establishes power analysis using likelihood ratio (LR) test that can
not be achieved by other existing methods. An extended identity provides power evaluations
for testing inhomogeneous odds ratios of three-way tables. A problem of the celebrated CMH
test (1954, 1959) is examined by the geometry of an information identity, and resolved by
using an omnibus LR test together with a family of two-step LR tests. In contrast to the
hierarchical log-linear models, information identities lead to developing a natural family of
linear information models (LIM). Empirical studies of two-way and high-way contingency tables
are used to illustrate the new statistical inference at college textbook level.
- [photos]
- Seminar: Should it be Our Survey Software for the Four Points Innovation Lab (FPIL)?
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Speaker: Ms Dwight Thé,
Division Science & Technology, UIC
- Time: 2:00pm, Wednesday, Sept 19, 2007
Abstract:
Survey research, broadly conceived as the practice of collecting sample records in order to learn
something about an entire population, is likely millennia old. However, the formal
systematization of survey research did not begin until shortly after World War II; the effort was
spearheaded by three groups: University of Michigan; Columbia University; and the U.S. Census
Bureau. Today, survey research constitutes a truly inter-disciplinary endeavor that is fraught
with numerous potential complicating factors. Some key issues include how to best design the
instrument, conduct the survey, analyze the data, and report the results based on the research
questions, the population surveyed, and the type of survey used. As the world's
"global
economy" (of which China is a major contributor) continues to move towards a
"market-based economy", the overall importance of survey-centered, market research is likely to increase. Given
the diversity of the survey method landscape and the complexity of the questions asked, it is very
important to select "the right tool for the job". In this regard, The Survey System (TSS) 9.5 has
been called "the market researcher's surveying package." The question at hand is whether or not TSS 9.5 lives up to its name and more specifically
"Should it be our survey software for the FPIL?" The seminar will be organized into three parts: (i) overview of the software; (ii)
demonstration of some key features; and (iii) discussion of the strengths and weaknesses of the
product.
- SUMMER SCHOOL 2007 FOR BUSINESS STATISTICS -------A CERTIFICATE PROGRAM
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Objective: The program provides a comprehensive education and training for students in business statistics, market analysis, data mining and decision-making. Specifically it is designed to train students how to effectively and skillfully apply statistics to a number of areas in business, such as data centered management, financial management, market research, bank credit management, customer relationship management and risk management, etc.
- Period of Study: 01-31 July, 2007
- Applicants: All undergraduates in UIC, irrespective of major, are welcome.
- More Details: Summer School
[poster]
- Seminar: Bayesian Statistics and Computation: An Advanced Tool for Quantitative Decision Making
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Speaker: Xiao-Li Meng, Department of Statistics, Harvard University
- Time: 4:00-6:00 p.m., Thursday, July 12, 2007
Abstract:
In business, finance, and other endeavors that require constant decision making, effectively combining quantitative information with subjective judgment is critical in achieving success and maintaining competitiveness. Bayesian methodology is ideally suited for this task because it provides a coherent and rigorous probability-based framework for statistical analysis with explicit subjective input via prior specification. The first part of this tutorial demonstrates the modeling aspects of Bayesian Statistics via a couple of examples on airline stocks and insurance mortality. Aided by movies, the second part introduces Markov chain Monte Carlo (MCMC), a general class of simulation methods that have revolutionized the Bayesian Statistics since 1990s because they made it possible to fit many realistic Bayesian models that defeat traditional computational methods.
- [poster]
- Seminar: A Path to UC, UCLA and Biostatistics
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Speaker: Gang Li, Ph.D., Professor of Biostatistics, University of California at Los Angeles
- Time: 2:00-4:00 p.m., Thursday, July 5, 2007
Abstract: The University of California (UC), home to more than 209,000 students, is
"the heart and soul of California, and its future" (Robert Dynes, UC President). In this talk I will give a general description of the higher education system in California, with more detailed information on UC, UCLA, and how to get there. The second part of the talk will give you a peek into the field of biostatistics through the eyes of a biostatistician.
- [poster]
- Seminar: Variable Selection in Semiparametric Regression Modeling
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Speaker:
Runze Li, Pennsylvania State University
- Time: 3:00-5:00
Monday, May 14, 2007
Abstract:
In this talk, I will introduce how to select significant variables in
semiparametric modeling. Variable selection for semiparametric regression models
consists of two components: model selection for nonparametric components and
selection of significant variables for the parametric portion. Thus,
semiparametric variable selection is much more challenging than parametric
variable selection (e.g., linear and generalized linear models) because
traditional variable selection procedures including stepwise regression and the
best subset selection now require separate model selection for the nonparametric
components for each submodel. This leads to very heavy computational burden. In
this paper, we propose a class of variable selection procedures for
semiparametric regression models using nonconcave penalized likelihood. We
establish the rate of convergence of the resulting estimate. With proper choices
of penalty functions and regularization parameters, we show the asymptotic
normality of the resulting estimate, and further demonstrate that the proposed
procedures perform as well as an oracle procedure. A semiparametric generalized
likelihood ratio test is proposed to select significant variables in the
nonparametric component. We investigate the asymptotic behavior of the proposed
test and demonstrate that its limiting null distribution follows a chi-squared
distribution, which is independent of the nuisance parameters. Extensive Monte
Carlo simulation studies are conducted to examine the finite sample performance
of the proposed variable selection procedures.
- [poster]
- Seminar: Online Evolutionary Algorithms
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Speaker: Prof. Alfredo Milani,
Dept. of Mathematics & Computer Science, University of Perugia
- Time: 3:00-4:00pm, Monday, April 23, 2007
Abstract: The problem of providing services to a mass of anonymous
users whose goals and needs evolve over the time in unpredictable way is common
to many application domains of information technology, from web to mobile
communication from news broadcasting to advertising. The basic idea of the
proposed approach is to use the evolutionary scheme of genetic algorithms in
order to dynamically adapt to the audience and service evolution while
optimizing the global systems performance.
- [poster]
- Seminar: On Multifractal Property of Joint Distributions and Its Application to Bayesian Network Inference
- Speaker: Dr. Hai-Peng Guo
Time: 2:00 pm - 4:00 pm, Oct. 12th(Thursday) , 2006
Abstract: Bayesian Belief Network (BBN) is the currently dominant method for reasoning under uncertainty in Artificial Intelligence. Inferences with BBNs are either optimization, or marginalization, or both on the joint probability space.
We demonstrate that the joint probability distribution of a BBN is a multifractal in its most general form - a random multinomial multifractal. With sufficient asymmetry in individual prior and conditional probability distributions, the joint distribution is not only highly skewed, but also stochastically self-similar and has clusters of high-robability instantiations at all scales. Inspired by the multifractal properties, a sampling-and-search algorithm for finding the Most Probable Explanation (MPE) in BBN is developed and tested. The experimental result shows that these multifractal properties provide good heuristic for solving the NP-hard MPE problem.
- [poster]
- Seminar: Modelling Nonlinear Dynamics of Time Series with Physiological Applications
- Speaker: Dr. Yi Zhao
Time: 2:00 pm - 4:00 pm, Sep. 21th, 2006
Abstract: Over-fitting has long been recognized as a problem endemic to models with a large number of parameters. The usual method of avoiding this problem in neural networks is to avoid fitting the data too well. In our research project we propose an alternative, information theoretic criterion to determine the number of neurons in the optimal model. When applied to the time series prediction problem we find that models, which minimize the description length of the data, both generalize well and accurately capture the underlying dynamics.
The optimal neural network based on the estimation of the minimum description length and the surrogate data method are then combined to apply to human cardiac systems. The experimental results present that pulse waveform measure on the lateral arterial artery (wrist) is equivalent to pulse measure on the fingertip, and pseudo-periodic determinism exists in both ECG and pulse time series but human ECG and pulse data do not conform to the same deterministic process. The human ECG data might provide additional information of the human body than the pulse.
- [poster]
- Seminar: A Learning-Based Approach for Algorithm Selection
- Speaker: Dr. Hai-peng Guo
Time: 2:00 pm - 4:00 pm, Sep. 14th, 2006
Abstract: The algorithm selection problem aims at selecting the best algorithm for a given computational problem instance according to some characteristics of the instance. In this talk we will look at a machine learning-based inductive approach using experimental algorithmic methods and machine learning techniques to solve the algorithm selection problem. Experimentally, we have applied the proposed methodology to algorithm selection for the MPE (Most Probable Explanation) problem and the results will be presented.
- [poster]
- Seminar: Data Mining in Mass Spectral Databases
- Speaker: Dr. Ping He
Time: 2:00 pm - 4:00 pm, Sep. 12th, 2006
Abstract: with the growth of chemical measurement and modern information technology, more and more huge databases containing a large amount of chemical compounds information are established, for example, mass spectral database. How to discover knowledge hidden in huge collections is a big challenge. In this talk we will discuss data mining in mass spectral (MS) database. We will review the application of library searching and classification methods, traditional or modern, on MS database and propose new methods to analyze MS database.
- [poster]
-
-
- Seminar: A Condition Number for (LP), (SOCP), (SDP)
- Speaker: Dr. Dennis Cheung
Time: 2:00 pm - 4:00 pm, Sep. 7th, 2006
Venue: A103, LiZe Building, Zhuhai Campus of Beijing Normal University
- [poster]
- Seminar: Uniform Experimental Design and its Recent Development
- Speaker: Prof. Kai-Tai Fang
Time: 2:00 pm - 4:00 pm, Sep. 5th, 2006
Venue: A103, LiZe Building, Zhuhai Campus of Beijing Normal University
- [poster]
- Seminar: Distinguished Lecture Series in Statistics and Computer Science
- Invited speakers from academia, industries and government will give public lectures at UIC.
- The first Lecture - Statistics for the Community, by Mr. Fung, Hing Wang, Commissioner for Census and Statistics Department, HKSAR. [poster]
[speech]
[photos]