Connections Between Adaptive Control and Optimization in Machine Learning

被引:0
作者
Gaudio, Joseph E. [1 ]
Gibson, Travis E. [2 ]
Annaswamy, Anuradha M. [1 ]
Bolender, Michael A. [3 ]
Lavretsky, Eugene [4 ]
机构
[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[2] Harvard Med Sch, Dept Pathol, Boston, MA 02115 USA
[3] Air Force Res Lab, Wright Patterson AFB, OH 45433 USA
[4] Boeing Co, Huntington Beach, CA 92647 USA
来源
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
关键词
PARAMETER CONVERGENCE; NEURAL-NETWORKS; ADAPTATION; SYSTEMS;
D O I
10.1109/cdc40024.2019.9029197
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper demonstrates many immediate connections between adaptive control and optimization methods commonly employed in machine learning. Starting from common output error formulations, similarities in update law modifications are examined. Concepts in stability, performance, and learning, common to both fields are then discussed. Building on the similarities in update laws and common concepts, new intersections and opportunities for improved algorithm analysis are provided. In particular, a specific problem related to higher order learning is solved through insights obtained from these intersections.
引用
收藏
页码:4563 / 4568
页数:6
相关论文
共 85 条
[1]  
Anderson B. D., 1982, AUTOMATICA, V18, P1
[2]   EXPONENTIAL CONVERGENCE OF ADAPTIVE IDENTIFICATION AND CONTROL ALGORITHMS [J].
ANDERSON, BDO ;
JOHNSON, CR .
AUTOMATICA, 1982, 18 (01) :1-13
[3]   DISCRETE-TIME ADAPTIVE-CONTROL IN THE PRESENCE OF INPUT CONSTRAINTS [J].
ANNASWAMY, AM ;
KARASON, SP .
AUTOMATICA, 1995, 31 (10) :1421-1431
[4]  
[Anonymous], 2017, P INT C LEARN REPR
[5]  
[Anonymous], 2006, Pattern Recognition and Machine Learning
[6]  
[Anonymous], 2015, Foundations and Trends in Machine Learning
[7]  
[Anonymous], 2016, COMPUTER AGE STAT IN
[8]  
[Anonymous], 1996, ROBUST ADAPTIVE CONT
[9]  
[Anonymous], ADADELTA: An Adaptive Learning Rate Method
[10]  
[Anonymous], 2005, STABLE ADAPTIVE SYST