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An L-2-Boosting Algorithm for Estimation of a Regression Function

- Bagirov, Adil, Clausen, Conny, Kohler, Michael

  • Authors: Bagirov, Adil , Clausen, Conny , Kohler, Michael
  • Date: 2010
  • Type: Text , Journal article
  • Relation: IEEE Transactions on Information Theory Vol. 56, no. 3 (2010), p. 1417-1429
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  • Description: An L-2-boosting algorithm for estimation of a regression function from random design is presented, which consists of fitting repeatedly a function from a fixed nonlinear function space to the residuals of the data by least squares and by defining the estimate as a linear combination of the resulting least squares estimates. Splitting of the sample is used to decide after how many iterations of smoothing of the residuals the algorithm terminates. The rate of convergence of the algorithm is analyzed in case of an unbounded response variable. The method is used to fit a sum of maxima of minima of linear functions to a given data set, and is compared with other nonparametric regression estimates using simulated data.

A novel real-time deterministic scheduling mechanism in industrial cyber-physical systems for energy internet

- Peng, Yuhuai, Jolfaei, Alireza, Yu, Keping

  • Authors: Peng, Yuhuai , Jolfaei, Alireza , Yu, Keping
  • Date: 2022
  • Type: Text , Journal article
  • Relation: IEEE Transactions on Industrial Informatics Vol. 18, no. 8 (2022), p. 5670-5680
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  • Description: As an effective distributed renewable energy utilization paradigm, a microgrid is expected to realize the high integration of the industrial cyber-physical systems (CPS), which has attracted extensive attention from academia and industry. However, the real-time interaction and feedback loop between physical systems and cyber systems have posed severe challenges to the reliability, determinacy, and energy efficiency of the multiway flow of information and communication transmission. In order to solve the problem of slot scheduling and data transmission (SSDT) in the microgrid, a novel real-time deterministic scheduling (RTDS) scheme for industrial CPS is proposed in this article. First, the SSDT is formulated as a multiway flow scheduling problem, and it is theoretically proved that the SSDT problem is NP-hard. Then, the RTDS scheme designs two heuristic algorithms: scheduling request preprocessing and greedy-based multichannel time slot allocation for an optimal scheduling solution. Practical experimental results demonstrate that the proposed RTDS scheme has significant advantages in packet loss rate, deadline guarantee rate, and energy consumption compared with the traditional schemes, and thus, is more suitable for deployment in microgrid systems. © 2005-2012 IEEE.
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