A note on the interdependence of the objectives and their entropy regularization solution

被引：0

作者：

Liu, XW ^{[1
]}

Da, QL ^{[1
]}

Chen, LH ^{[1
]}

机构：

[1] SE Univ, Econ & Management Sch, Nanjing 210096, Jiangsu, Peoples R China

来源：

2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS | 2003年

关键词：

multiple objective programming; application functions; interdependence;

D O I：

10.1109/ICMLC.2003.1259991

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Considering that the concept of interdependence concept proposed by Carlsson and Full'er [1,2,3], found that it can only be applied to one dimension decision space, In this paper, we generalize the concept of objectives interdependence under the multidimensional conditions based on the gradients of the objectives. The new interdependence concept can reflect both the relationship and the degrees of the objectives' support or conflict. Then the application functions are constructed based on the interdependence grades of the objectives, and they are aggregated by entropy regularization procedure to solve the multiobjective programming problems. A numerical example shows the effect of the approach.

引用

页码：2677 / 2682

页数：6

共 50 条

[1] Note on entanglement entropy and regularization in holographic interface theories
Gutperle, Michael
Trivella, Andrea
PHYSICAL REVIEW D, 2017, 95 (06)
[2] A NOTE ON THE RELATION BETWEEN ENTROPY AND ENTHALPY OF SOLUTION
RICE, OK
JOURNAL OF CHEMICAL PHYSICS, 1947, 15 (12): : 875 - 879
[3] Regularization of currents and entropy
Dinh, TC
Sibony, N
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2004, 37 (06): : 959 - 971
[4] Quantum entropy regularization
Silver, RN
MAXIMUM ENTROPY AND BAYESIAN METHODS, 1999, 105 : 91 - 98
[5] NOTE ON INTERDEPENDENCE AS A SPECIFICATION ERROR
DREZE, JH
STROTZ, RH
ECONOMETRICA, 1971, 39 (06) : 1009 - &
[6] A note on the Regularization Algorithm
Jaworski, W
ROUGH SETS AND CURRENT TRENDS IN COMPUTING, 2004, 3066 : 235 - 243
[7] Variance-based Regularization with Convex Objectives
Namkoong, Hongseok
Duchi, John C.
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 30 (NIPS 2017), 2017, 30
[8] Variance-based regularization with convex objectives
Duchi, John
Namkoong, Hongseok
Journal of Machine Learning Research, 2019, 20
[9] Variance-based Regularization with Convex Objectives
Duchi, John
Namkoong, Hongseok
JOURNAL OF MACHINE LEARNING RESEARCH, 2019, 20
[10] Entropy regularization in probabilistic clustering
Franzolini, Beatrice
Rebaudo, Giovanni
STATISTICAL METHODS AND APPLICATIONS, 2024, 33 (01): : 37 - 60

← 1 2 3 4 5 →