Classification and unscrambling a class‐inside‐class situation by object target rotation: Hungarian silver coins of the Árpád Dynasty, <scp>ad</scp> 997–1301

Christie, Olav H. J.; Rácz, Anita; Elek, János; Héberger, Károly

doi:10.1002/cem.2601

Cited by 6 publications

(4 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the scaling, it is easy to identify the coins having the same metals from second importance. Our method clusters the objects (coins) according to the era and kings, but here we should add that traditional clustering and classification methods provided better results [ 44 , 45 ].…”

Section: Resultsmentioning

confidence: 99%

Patch seriation to visualize data and model parameters

Lasfar,

Tóth

2023

J Cheminform

View full text Add to dashboard Cite

We developed a new seriation merit function for enhancing the visual information of data matrices. A local similarity matrix is calculated, where the average similarity of neighbouring objects is calculated in a limited variable space and a global function is constructed to maximize the local similarities and cluster them into patches by simple row and column ordering. The method identifies data clusters in a powerful way, if the similarity of objects is caused by some variables and these variables differ for the distinct clusters. The method can be used in the presence of missing data and also on more than two-dimensional data arrays. We show the feasibility of the method on different data sets: on QSAR, chemical, material science, food science, cheminformatics and environmental data in two- and three-dimensional cases. The method can be used during the development and the interpretation of artificial neural network models by seriating different features of the models. It helps to identify interpretable models by elucidating clusters of objects, variables and hidden layer neurons. Graphical Abstract

show abstract

Section: Resultsmentioning

confidence: 99%

Patch seriation to visualize data and model parameters

Lasfar,

Tóth

2023

J Cheminform

View full text Add to dashboard Cite

show abstract

“…It was usual that the old coins were collected and used as raw material for the new ones. The problematic affiliation of the coins was detailed in the articles of Rácz et al. Three columns in the data matrix contain information on the recognizable faces on the coins and their categorization respect different historic eras.…”

Section: Methodsmentioning

confidence: 99%

Seriation, the method out of a chemist's mind

Tóth

Amari-Amir

2018

Journal of Chemometrics

View full text Add to dashboard Cite

Seriation is the practice of performing row and column permutations on data matrices to reveal clusters and hidden patterns within and between them. Seriation has been a known problem to tackle in the literature for over a century except chemical data where there are a fewer than a handful of researchers who have knowingly worked on this technique. The aim of this paper is to give seriation examples on chemical data and to propose the systematic use of seriation as a possible intuitive tool between data preprocessing and explanatory data analysis. Seriation itself performs the descriptive and exploratory data evaluations at a qualitative level with more limited efficiency than the specialized methods, but it may suggest to use clustering, variable selection, principal component analysis, and modeling. Different databases were used to check the versatility of seriation methods: benchmark ones on iris and wine, radioactivity data of sand mines, coin metal compositions, bioactivity of anticancer compounds, features of essential oils, and a reaction kinetic mechanism of biofuel combustion.

show abstract

“…Following the same line, the elemental composition data of silver coins from the Hungarian Á rpád Dynasty (997-1301 A.D.), including 16 kings, were used by Christie et al 65 with an aim to classify these coins according to their historical periods. The heterogeneity of the silver coin alloys in this period made it difficult to establish a reliable method for assigning coins to each individual king.…”

Section: Chronological Identificationmentioning

confidence: 99%