Markov Chain Example: Transitions between Two Pictorial Attractors
Robert A. M. Gregson · 2016
Twoexperimentsexploringsimilarityjudgmentsonpairsandtripletsof stimulidrawnfrompictorialseriesaredescribed.Thestimuliarethemanwoman(M-W)andgypsy-girl(Gy-Gr)picturesthatslowlychangefromone prototypetotheotherasoneprogressesalongtheseries.Thesehavebeen usedpreviouslytodemonstratehysteresisofcategoryjudgmentsonambiguousgures;theM-Wserieshasbeenbothmodeledasaprobleminneural networktheoryandmappedontopartofacuspcatastrophesurface.Itis CONTENTS The Prototype1-Ambiguity-Prototype2 Paradigm .....................................428 The Man-to-Woman Experiment ......................................................................430 Similarity Rating Experiment 1 ......................................................................... 432 Stimuli ..............................................................................................................432 Subjects ............................................................................................................ 432 Instructions and Procedure (Slightly Abbreviated) ................................... 432 DataAnalysis .................................................................................................. 432 Discussion........................................................................................................435 The Gypsy-to-Girl Experiment .....................................................................436 Similarity Rating Experiment 2 .........................................................................436 Stimuli ..............................................................................................................436 Subjects ............................................................................................................436 Instructions (Slightly Abbreviated) .............................................................436 Procedure ......................................................................................................... 437 Discussion ............................................................................................................438 Acknowledgments ..............................................................................................443 Note .......................................................................................................................443 References .............................................................................................................443 shownthatthetransitionprocessiscomplicatedwithazoneofuncertainty andprevalenceofbimodalityinmanyofthepairwisesimilarityjudgments. Thedynamicsareinterpretedintermsoftransitionsbetweentwosaddlenodeattractorsthatarethemselvesnotadiscretepairbuthavesomeoverlap in their composition.