Event(s) on January 2022

• Monday, 17th January, 2022

  Title:	Optimization Algorithm for Mobility-Aware User Association in Milimeter-Wave Networks
  Speaker:	Dr Jingjin Wu, Department of Statistics, BNU-HKBU United International College (UIC), Zhuhai, China
  Time/Place:	16:00  -  17:00 Zoom, Meeting ID: 984 2338 8693, Passcode: 960868
  Abstract:	The millimeter wave (mmWave) communication is a key technology enabling high data rate and massive transmission in 5G networks. An effective user association strategy, which aims at overcoming the susceptibly of mmWave signals to physical obstacles and smaller capacities of mmWave base stations (BSs), is essential to realise the full potential of mmWave communications. In this work, we mainly consider an mmWave network scenario, applicable to metropolitan areas with developed public transport networks and high commute demands, where the mobile user equipments (UEs) move along fixed and predetermined trajectories and request to associate with mmWave BSs. An effective and efficient algorithm, called the Sequence Q-learning Algorithm (SQA), is proposed to maximize the long-run average transmission rate of the network, which is an NP-hard problem. Furthermore, the SQA tackles the complexity issue by only allowing possible re-associations (handover of a UE from one BS to another) at a discrete set of decision epochs and has polynomial time complexity. This feature of the SQA also restricts too frequent handovers, which are considered highly undesirable in mmWave networks. Moreover, we demonstrate by extensive numerical results that the SQA can significantly outperform the benchmark algorithms proposed in existing research by taking all UEs’ future trajectories and possible decisions into account at every decision epoch.

  
  

• Tuesday, 25th January, 2022

  Title:	A New Powersum Basis for Quasisymmetric Functions
  Speaker:	Mr LAZZERONI JR Anthony Aurthur, Department of Mathematics, Hong Kong Baptist University, Hong Kong
  Time/Place:	15:00  -  16:30 Zoom, Meeting ID: 930 3263 4578 Password: 885413
  Abstract:	We introduce new bases for the Hopf algebra of quasisymmetric functions that refine the symmetric powersum basis. These bases are expanded in terms of quasisymmetric monomial functions by using fillings of matrices or subposets defined by a total order on integers. Our new bases have a shuffle product and a deconcatenate coproduct and two of these bases are the dual of the Zassenhaus basis of non-commutative symmetric functions.

All years