Introducing the monotonicity constraint as an effective chemistry-based condition in self-modeling curve resolution

2019 ◽  
Vol 190 ◽  
pp. 22-32 ◽  
Author(s):  
Somaye Vali Zade ◽  
Mathias Sawall ◽  
Klaus Neymeyr ◽  
Hamid Abdollahi
Keyword(s):  
Curve Resolution ◽  
Monotonicity Constraint

Measure functions

2017 ◽  
Author(s):  
Lucas Champollion
Keyword(s):  
One Dimension ◽  
Measure Function ◽  
Monotonicity Constraint ◽  
The Difference ◽  
Water Entity

This chapter explains the linguistic relevance of the difference between extensive measure functions like volume and intensive measure functions like temperature, as illustrated by the pseudopartitives thirty liters of water vs. thirty degrees Celsius of water (Krifka 1998, Schwarzschild 2006). Subsuming these previous accounts, stratified reference correctly predicts the monotonicity constraint: such constructions disallow measure functions that generally return the same value on an entity and on its parts. For example, in order for *thirty degrees Celsius of water to be acceptable, it would have to describe a water entity whose parts are colder than itself; but there are no such entities. Stratified reference relativizes unboundedness to just one dimension or measure function at a time. This makes it possible to account for examples like five feet of snow even though not every part of a five-foot layer of snow is less than five feet high.

Weighting hyperspectral image data for improved multivariate curve resolution results

2008 ◽  
Vol 22 (9) ◽  
pp. 482-490 ◽  
Author(s):  
Howland D. T. Jones ◽  
David M. Haaland ◽  
Michael B. Sinclair ◽  
David K. Melgaard ◽  
Mark H. Van Benthem ◽  
...  
Keyword(s):  
Hyperspectral Image ◽  
Image Data ◽  
Multivariate Curve Resolution ◽  
Curve Resolution ◽  
Hyperspectral Image Data

Multivariate Curve Resolution Combined with Estimation by Cosine Similarity Mapping of Analytical Data

The Analyst ◽  
2021 ◽  
Author(s):  
Yuya Nagai ◽  
Kenji Katayama
Keyword(s):  
Analytical Data ◽  
Cosine Similarity ◽  
Multivariate Curve Resolution ◽  
Curve Resolution

We developed a multivariate curve resolution (MCR) calculation combined with the mapping of cosine similarity (cos-s) for multiple mixture spectra of chemicals. The cos-s map was obtained by calculating the...

Investigating the effect of flexible constraints on the accuracy of self-modeling curve resolution methods in the presence of perturbations

2016 ◽  
Vol 30 (5) ◽  
pp. 252-267 ◽  
Author(s):  
Nahal Rahimdoust Mojdehi ◽  
Mathias Sawall ◽  
Klaus Neymeyr ◽  
Hamid Abdollahi
Keyword(s):  
Curve Resolution
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