Review Lecture, The recovery of structure from fragmentary information
- 25 September 1975
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 279 (1291) , 547-582
- https://doi.org/10.1098/rsta.1975.0086
Abstract
The topic to be considered is the recovery of a detailed structure of known general form from a multitude of minute fragments of information, each one of which is embedded in irrelevant material and may be corrupted by error. The simplest specific example is the problem of ‘seriation on the basis of incidence of types’, several automated solutions for which are now available and work well. These yield provisional solutions which have to be carefully cleaned up by the archaeologist, but they have the advantage (over earlier ‘hand’ methods) that the degree to which subjective judgements are employed can be carefully controlled. A more formidable problem is that of reconstructing the geographical layout of a mediaeval manor from information derived from contemporary cartularies and later deeds. This, too, can be solved ‘by hand’, but recently it has become clear that automated solutions are also possible, as in the seriation problem, and again offer certain advantages.Keywords
This publication has 9 references indexed in Scilit:
- Abundance matrices and seriation in archaeologyProbability Theory and Related Fields, 1971
- A mathematical approach to seriationPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1970
- Geobotanical Distance between New Zealand and Neighboring IslandsBioScience, 1970
- Incidence matrices, interval graphs and seriation in archeologyPacific Journal of Mathematics, 1969
- A mathematical analysis of the effects of movement on the relatedness between populationsAnnals of Human Genetics, 1969
- Incidence matrices and interval graphsPacific Journal of Mathematics, 1965
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesisPsychometrika, 1964
- ON THE TOPOGRAPHY OF THE GENETIC FINE STRUCTUREProceedings of the National Academy of Sciences, 1961
- ON THE TOPOLOGY OF THE GENETIC FINE STRUCTUREProceedings of the National Academy of Sciences, 1959