Reduction problem with constraints on the total momenta of the controls

1975 ◽  
Vol 39 (2) ◽  
pp. 204-211
Author(s):  
S.T. Zavalishchin ◽  
V.V. Ushakov
Keyword(s):  
Reduction Problem

The chromatic reduction problem

Networks ◽  
1973 ◽  
Vol 3 (4) ◽  
pp. 367-377 ◽  
Author(s):  
J. R. Brown
Keyword(s):  
Reduction Problem

ENTROPY MINIMIZATION: A DESIGN PRINCIPLE FOR SENSORY PERCEPTION?

1992 ◽  
Vol 03 (supp01) ◽  
pp. 81-90 ◽  
Author(s):  
Joseph J. Atick
Keyword(s):  
Information Theory ◽  
Knowledge Acquisition ◽  
Data Reduction ◽  
Design Principle ◽  
Variational Principles ◽  
Sensory Perception ◽  
Sensory Systems ◽  
Sensory Pathways ◽  
Reduction Problem ◽  
Predictive Design

We speculate on how computational strategies suggested by Information theory could be useful for knowledge acquisition in sensory systems. The focus of our exploration is the idea that perception is a data reduction problem and as such sensory transformations should be predictable from the data reduction problem and as such sensory transformations should be predictable terms of variational principles involving the minimization of two types of entropy. The analysis suggests a scheme in which the two can be combined to produce a predictive design principle for sensory pathways.

A NOTE ON OPTIMAL DEBT REDUCTION POLICIES

2019 ◽  
Vol 24 (7) ◽  
pp. 1850-1860 ◽  
Author(s):  
Davide la Torre ◽  
Simone Marsiglio
Keyword(s):  
Economic Policy ◽  
Real World ◽  
Optimal Policy ◽  
Social Costs ◽  
Social Planner ◽  
Long Run ◽  
The Social ◽  
Reduction Problem ◽  
Short Run ◽  
Over Time

We analyze the optimal debt reduction problem in an uncertainty context. The social planner has a finite horizon and seeks to minimize the social costs associated with debt repayment by taking into account not only the short-run costs of the policy, but also the long-run costs associated with the outstanding level of debt. We characterize the optimal policy and the dynamics of the debt-to-GDP ratio, showing that it will decrease over time if economic policy is effective enough. We characterize how the evolution of the debt-to-GDP ratio depends on the main parameters and we present a simple calibration based on Greek data to illustrate the implications of our analysis in real-world setups.

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