Acquiring symbolic design optimization problem reformulation knowledge: On computable relationships between design syntax and semantics

..................................................................................................iii Acknowledgements......................................................................................iv List of Symbols...........................................................................................v Publication notes.........................................................................................vi Chapter 1. A Semantic – Syntactic Puzzle ..................................................................... 1 1.1 Motivation .......................................................................................................................... 2 1.1.1 Design methodology motivation.................................................................................. 3 1.1.2 Design theory motivation............................................................................................. 5 1.2 Aim..................................................................................................................................... 6 1.3 Objectives........................................................................................................................... 7 1.4 Research claims, contributions and significance................................................................ 7 1.4.1 Design methodology .................................................................................................... 7 1.4.2 Design theory............................................................................................................. 10 1.5 Thesis structure................................................................................................................. 11 Chapter 2. An Analogy Based Solution: Semantics from Syntax .............................. 13 2.1 Review of existing approaches: establishing behavior criteria......................................... 14 2.2 Approach used in this thesis ............................................................................................. 17 2.3 Analogies.......................................................................................................................... 20 2.3.1 Structural analogy ...................................................................................................... 21 2.3.2 A common representation form from the structural analogy ..................................... 23 2.4 Behavioral analogy........................................................................................................... 24 2.4.1 What does SVD do?................................................................................................... 24 2.4.2 What does SVD do in LSA? ...................................................................................... 26 2.4.3 What does SVD do in DIP? ....................................................................................... 28 2.5 Behavior characteristics from SVD, dimensionality reduction, similarity measurement. 29 2.5.1 Measure of “semantic similarity” in design representations...................................... 29 2.5.2 Dimensionality reduction and implicit pattern extraction.......................................... 30 2.5.3 Redundancy, matrix compression and explicit pattern extraction ............................. 31 2.5.4 Multiple and invariant patterns from a single data set: .............................................. 31 2.6 Summary .......................................................................................................................... 32