A dynamic adaptive sampling technique in frequency-domain transient analysis

2002 ◽  
Vol 44 (4) ◽  
pp. 522-528 ◽  
Author(s):  
Choy Yoong Tham ◽  
A. McCowen ◽  
M.S. Towers ◽  
D. Poljak
Keyword(s):  
Frequency Domain ◽  
Adaptive Sampling ◽  
Transient Analysis ◽  
Sampling Technique

Beyond the Known: Detecting Novel Feasible Domains Over an Unbounded Design Space

2017 ◽  
Vol 139 (11) ◽  
Author(s):  
Wei Chen ◽  
Mark Fuge
Keyword(s):  
Real World ◽  
Adaptive Sampling ◽  
Design Space ◽  
Fundamental Problem ◽  
Domain Boundary ◽  
Sampling Technique ◽  
Standard Test ◽  
Worst Case ◽  
Trade Offs ◽  
Design Variables

To solve a design problem, sometimes it is necessary to identify the feasible design space. For design spaces with implicit constraints, sampling methods are usually used. These methods typically bound the design space; that is, limit the range of design variables. But bounds that are too small will fail to cover all possible designs, while bounds that are too large will waste sampling budget. This paper tries to solve the problem of efficiently discovering (possibly disconnected) feasible domains in an unbounded design space. We propose a data-driven adaptive sampling technique—ε-margin sampling, which learns the domain boundary of feasible designs and also expands our knowledge on the design space as available budget increases. This technique is data-efficient, in that it makes principled probabilistic trade-offs between refining existing domain boundaries versus expanding the design space. We demonstrate that this method can better identify feasible domains on standard test functions compared to both random and active sampling (via uncertainty sampling). However, a fundamental problem when applying adaptive sampling to real world designs is that designs often have high dimensionality and thus require (in the worst case) exponentially more samples per dimension. We show how coupling design manifolds with ε-margin sampling allows us to actively expand high-dimensional design spaces without incurring this exponential penalty. We demonstrate this on real-world examples of glassware and bottle design, where our method discovers designs that have different appearance and functionality from its initial design set.

Transient analysis of Kerr-like phase conjugators using frequency-domain techniques

1981 ◽  
Vol 23 (6) ◽  
pp. 3071-3083 ◽  
Author(s):  
Robert A. Fisher ◽  
B. R. Suydam ◽  
B. J. Feldman
Keyword(s):  
Frequency Domain ◽  
Transient Analysis ◽  
Frequency Domain Techniques
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