Registered Data
Contents
- 1 [CT172]
- 1.1 [01973] Equilibria for Robust Routing Game of Atomic Players
- 1.2 [02646] Stability and geometric approximations of nonlinear filters
- 1.3 [00383] A kernel-based method for Schrödinger bridges
- 1.4 [00601] Assessment of Mathematics in Higher Education over the COVID19 pandemic.
- 1.5 [01075] Implementation of Mathematical Proof and Argumentation Learning Activities in Langsa
[CT172]
[01973] Equilibria for Robust Routing Game of Atomic Players
- Session Date & Time : 3E (Aug.23, 17:40-19:20)
- Type : Contributed Talk
- Abstract : We study a routing game on edge costs given by an interval of the same length, each edge cost can be any value in the interval. Each player only knows the interval length and would select a path that is robust against the worst-case realization of edge costs. Under bottleneck-type objective with minmax-regret criterion, we prove that every robust Nash Equilibrium (NE) is an NE of the corresponding bottleneck routing game with complete information.
- Classification : 91A35, 91A80, 91A68, 90C27
- Author(s) :
- Xudong Hu (Academy of Math and Systems Science, CAS)
[02646] Stability and geometric approximations of nonlinear filters
- Session Date & Time : 3E (Aug.23, 17:40-19:20)
- Type : Contributed Talk
- Abstract : Nonlinear filtering is a central mathematical tool in understanding how we process information. As the equations can be high dimensional and intractable, many applications rely on approximation methods. In this paper, we leverage tools from information geometry to obtain a contraction for the filtering equations in the case where the signal is a continuous-time Markov chain. This allows us to characterize the error of approximate filters, and construct a low-dimensional approximation with a well-behaved error.
- Classification : 93E11, 93E15, 60G35, 60J55, 53B12
- Author(s) :
- Eliana Fausti (University of Oxford)
- Samuel N. Cohen (University of Oxford)
[00383] A kernel-based method for Schrödinger bridges
- Session Date & Time : 3E (Aug.23, 17:40-19:20)
- Type : Contributed Talk
- Abstract : We report a kernel-based approach to Schrödinger's bridge problems, where the terminal time distribution constraint is described by a kernel-based metric on the space of probability measures. The resulting problem is reduced to a weak form of Mckean-Vlasov type stochastic control problems that allows an explicit solution.
- Classification : 93E20
- Author(s) :
- Yumiharu Nakano (Tokyo Institute of Technology)
[00601] Assessment of Mathematics in Higher Education over the COVID19 pandemic.
- Session Date & Time : 3E (Aug.23, 17:40-19:20)
- Type : Industrial Contributed Talk
- Abstract : A comparative analysis of various assessment methods on Higher Education Mathematics is provided. A discussion on the reliability of these methods is provided with particular emphasis on distance/online (uncontrolled) assessment methods and face to face (controlled) assessment methods. We analyse the data collected from an assessment strategy based on a set of tests before and throughout the COVID pandemic. Results show that online assessment is less reliable for those students with lower academic performance.
- Classification : 97D60, Assessment of Mathematics in Higher Education
- Author(s) :
- Carlos Fresneda-Portillo (Universidad Loyola Andalucía (Spain))
- James Maunder (Oxford Brookes University)
[01075] Implementation of Mathematical Proof and Argumentation Learning Activities in Langsa
- Session Date & Time : 3E (Aug.23, 17:40-19:20)
- Type : Industrial Contributed Talk
- Abstract : This study aims to implement learning designs for mastering mathematical proof and argumentation abilities in pre-service mathematics teachers enrolling in one public university in Langsa City, Aceh, Indonesia. Learning activities consist of four core stages, i.e., proofreading, writing resumes, exercises in proving, then reflection and evaluation. The results demonstrated an increase in students' mathematical proof and argumentation abilities from mediocre to excellent.
- Classification : 97Dxx, 97Hxx, 97Ixx, 97Exx
- Author(s) :
- Iden Rainal Ihsan (Universitas Samudra)
- Natanael Karjanto (Sungkyunkwan University)
- Guntur Maulana Muhammad (Universitas Samudra)