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Event(s) on August 2013
- Wednesday, 14th August, 2013
Title: HKBU 2013 Optimization Workshop Speaker: Various speakers, Department of Mathematics, Hong Kong Baptist University, Hong Kong Time/Place: 14:00 - 17:45
OEM905, Oen Hall Building (Main Building), HSH Campus, Hong Kong Baptist UniversityAbstract: Program: 14:00-14:30 HE Bingsheng, Nanjing University A slightly modified ADMM for convex optimization with three separable operators 14:30-15:00 LI Donghui, South China Normal University A constrained optimization reformulation for the L½-regularization and a descent method 15:00-15:30 TONG Xiaojiao, Hunan First Normal University Stochastic dual dynamic programming approach for multistage CVaR constrained optimization 15:30-16:00 YUAN Xiaoming, Hong Kong Baptist University A strictly contractive Peaceman-Rachford splitting method for convex programming 16:00-16:15 Break 16:15-16:45 HAN Deren, Nanjing Normal University Convergence of the Peaceman-Rachford splitting method for nonsmooth convex optimization 16:45-17:15 LUO Xinlong, Beijing University of Posts and Telecommunications Wireless localization technologies and problems 17:15-17:45 YUE Hongwei, Hong Kong Baptist University Limiting behavior of the first-order affine scaling continuous trajectory for convex quadratic programming - Thursday, 15th August, 2013
Title: Periodic Solutions of the Heat Equation with Nonlinear Sources Speaker: Prof. Yin Jingxue, School of Mathenatical Sciences, South China Normal University, China Time/Place: 10:00 - 11:00
OEM905, Oen Hall Building (Main Building)Abstract: In this talk, we are concerned with the heat equation with nonlinear sources partial u/ partial t =∆u+α(x,t)u^q, (x,t) in Omega x ℝ, u| (partial Omega) = 0, u(x,t) = u(x,t+ω), where Omega is a bounded domain with smooth boundary, p >1, q≥0, ω>0, and α (x,t)is a positive, appropriately smooth function with periodicity ω in time. We first review the classical works about the existence of periodic solutions, and then pay attention to the classification of the exponent q. Some extension to nonlinear diffusion is also included. - Monday, 19th August, 2013
Title: Solving real-world engineering problems using operations research techniques Speaker: Dr. Lau Shek Kwan, Mark, Department of Mathematics, Hong Kong Baptist University, Hong Kong Time/Place: 10:00 - 11:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: This talk gives an overview of the speaker's work of applying operations research techniques to solving two real-world engineering problems. The first application is optimal power-allocation of mobile devices in a wireless communication network. The problem's objective is to minimise the total transmission power of mobile devices in a network while satisfying some performance (e.g., throughput) requirements. The second application is error analysis of probabilistic computational circuits, such as CMOS adders and multipliers. The study attempts to model error propagation through a network of probabilistic computation circuits. A systematic method is proposed to predict error-rates of a network's outputs for given erroneous inputs. Simulation results will be shown in this talk, which suggest that the proposed method can give accurate predictions. - Monday, 19th August, 2013
Title: Numerical algorithms for R&D stochastic control models Speaker: Dr. Leung Chi Man, Department of Mathematics, Hong Kong Baptist University, Hong Kong Time/Place: 11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: We consider the optimal strategy of R&D expenditure adopted by a firm that engages in R&D to develop an innovative product to be launched in the market. The firm faces with technological uncertainty associated with the success of the R&D effort and market uncertainty of the stochastic revenue flow generated by the new product. Our model departs from most R&D models by assuming that the firm’s knowledge accumulation has impact on the R&D progress, so the hazard rate of arrival of R&D success is no longer memoryless. Also, we assume a finite life span of the technologies that the product resides on. In this paper, we propose efficient finite difference schemes that solve the Hamilton-Jacobi-Bellman formulation of the resulting finite time R&D stochastic control models with an optimal control on R&D expenditure and an optimal stopping rule on the abandonment of R&D effort. The optimal strategies of R&D expenditure with varying sets of model parameters are analyzed. In particular, we observe that R&D expenditure decreases with firm’s knowledge stock and may even drop to zero when the accumulation level is sufficiently high. - Tuesday, 20th August, 2013
Title: Nonparametric modeling of dynamic seasonality and trend in the presence of heteroscedastic and dependent errors Speaker: Dr. Ming-Yen CHENG, Department of Mathematics, National Taiwan University, Taiwan Time/Place: 10:30 - 11:30
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: Seasonality (or periodicity) and trend are features describing an observed sequence, and extracting these features is an important issue in many scientific fields. However, it is not an easy task for existing methods to analyze simultaneously the trend and dynamics of the seasonality such as ime-varying frequency and amplitude, and the adaptivity of the analysis to such dynamics and robustness to heteroscedastic, dependent errors is not guaranteed. These tasks become even more challenging when there exist multiple seasonal components. We propose a nonparametric model to describe the dynamics of multi-component seasonality, and investigate the recently developed Synchrosqueezing transform in extracting these features in the presence of a trend and heteroscedastic, dependent errors. The identifiability problem of the nonparametric seasonality model is studied, and the adaptivity and robustness properties of the SST are theoretically justified in both discrete- and continuous-time settings. Consequently we have a new technique for de-coupling the trend, the dynamical seasonality, and the heteroscedastic, dependent error process in a general nonparametric setup. Results of a series of simulations are provided, and the incidence time series of varicella and herpes zoster in Taiwan and respiratory signals observed from a sleep study are analyzed. This is joint work with Yu-Chun Chen and Hau-Tieng Wu. - Tuesday, 20th August, 2013
Title: Nonparametric Quantile Regression for Time Series Speaker: Prof. Toshio HONDA , Department of Economics, Hitotsubashi University, Japan Time/Place: 11:30 - 12:30
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: This talk is mainly for graduates students and researchers not familiar with quantile regression. First I introduce the check function to carry out quantile estimation in linear models and refer to some important references in quantile regression. Then I talk about my results on nonparametric quantile regression for alpha-mixing processes, long-range dependent processes, and integrated (I(1)) processes. I also briefly explain how to prove the asymptotic normality or mixed normality of the nonparametric quantile estimators. - Tuesday, 27th August, 2013
Title: Mathematical Basis of G Space Speaker: Dr. LI Ming, Department of Information and Computation,, Taiyuan University of Technology, China Time/Place: 11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: A G space theory, the mathematical basis of establishing a weakened weak (W2) form model, has been widely employed for convergence analysis of numerical methods, such as the smoothed finite element methods and the smoothed point interpolation methods. In the thesis based on the Gsh space theory founded by G. R. Liu etc., the concepts of a Gs space and norm are introduced in terms of mathematics. In addition, several important properties of a Gs space are developed. Firstly, H1 norm is the upper bound of Gs norm. Secondly, the limitation of these two norms are equivalent, based on which the relations among the Gs space and others can be obtained. Finally, Gs norm is equivalent to half norm in the limit case. These theoretical results will greatly benefit the future study of numerical methods in the G spaces. - Wednesday, 28th August, 2013
Title: Asymptotic Approach of Eigenmodes in Slab Optical Waveguides Speaker: Prof. ZHU Jianxin, Department of Mathematics, Zhejiang University, China Time/Place: 11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: Approximate analytic solutions of the leaky modes and Berenger modes in two-dimensional slab optical waveguides are derived by an asymptotic analysis. The waveguides with three layers of possibly different refractive indexes are studied for both TE and TM cases. The results are useful in the eigenmode expansion method. By the method, we can fast compute the wave propagation in the waveguides terminated by two perfectly matched layers, where the leaky modes and Berenger modes appear.