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Everything about Ordinal analysis
Mathematical technique used in proof theory
In proof theory, ordinal analysis assigns ordinals to mathematical theories as a measure of their strength. If theories have the same proof-theoretic ordinal they are often equiconsistent, and if one theory has a larger proof-theoretic ordinal than another it can often prove the consistency of the second theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Ordinal analysisA 5-minute orientation
- Skim a recent paper: Trustworthy Multimodal Fusion for Sentiment Analysis in Ordinal Sentiment SpaceInfluential work since 2022
- Pick up a classic book: Lightning Interaction with Power SystemsThe most-reprinted book on the subject
- Read the landmark paper: Ordinal time series analysisCited 135 times
- Go sideways: Nonrecursive ordinalA closely related topic
- Go sideways: Buchholz's ordinalA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Ordinal time series analysis
Multivariate Analysis of Ordinal Variables
Twitter Sentiment Analysis Based on Ordinal Regression
Ordinal analysis of time series
Path Analysis and Ordinal Data
Extreme ranking analysis in robust ordinal regression
ROC analysis in ordinal regression learning
Ordinal Regression Analysis: Using Generalized Ordinal Logistic Regression Models to Estimate Educational Data
🆕 Influential since 2022
Trustworthy Multimodal Fusion for Sentiment Analysis in Ordinal Sentiment Space
Factor Analysis of Ordinal Items: Old Questions, Modern Solutions?
Continuous ordinal patterns: Creating a bridge between ordinal analysis and deep learning
Two new parameters for the ordinal analysis of images
Uncertainty Analysis in Group Decisions through Interval Ordinal Priority Approach
📚 Books worth reading
- 📕Lightning Interaction with Power SystemsAlexandre Piantini · 2020
The interpretation of ecological dataE. C. Pielou · 1984- 📕PC-ORD multivariate analysis of ecological data · 1999
- 📕PC-ORD multivariate analysis of ecological data · 1999
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Nonrecursive ordinal In mathematics, particularly set theory, non-recursive ordinals are large countable ordinals greater than all the recursive ordinals, and therefore can…
- Buchholz's ordinal In mathematics, ψ0(Ωω), widely known as Buchholz's ordinal[citation needed], is a large countable ordinal that is used to measure the proof-theoretic strength…
- Beta-model In model theory, a mathematical discipline, a β-model (from the French "bon ordre", well-ordering) is a model that is correct about statements of the form…
- Large countable ordinal In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non-circularl…
- Heyting arithmetic In mathematical logic, Heyting arithmetic H A {\displaystyle {\mathsf {HA}}} is an axiomatization of arithmetic in accordance with the philosophy of intuitionis…
- Buchholz hydra In mathematics, especially mathematical logic, graph theory and number theory, the Buchholz hydra game is a type of hydra game, which is a single-player…
- Lévy hierarchy In set theory and mathematical logic, the Lévy hierarchy, introduced by Azriel Lévy in 1965, is a hierarchy of formulas in the formal language of the Zermelo–Fr…
- Rathjen's psi function In mathematics, Rathjen's ψ psi function is an ordinal collapsing function developed by Michael Rathjen. It collapses weakly Mahlo cardinals M to generate…