Compositional data (proportions that sum to 1) behave in ways standard models aren’t built for
I walk through why Dirichlet regression is often the right tool & what extra insight it gives, using a real example of eyetracking
#Dirichlet #r #brms #guide #eyetracking #ordbetareg #tutorial #reanalysis #substack
#statstab #478 Stuck between Zero and One: Modelling Non-Count Proportions with Beta and Dirichlet Regression
Thoughts: A few resources for proportion data.
#Dirichlet #proportions #betareg #count #tutorial
https://methodsblog.com/2019/08/06/beta-dirichlet-regression_en/
#statstab #477 Simulating data for Dirichlet regression with varying estimates
Thoughts: Interesting thread about an underused model.
#Dirichlet #brms #poweranalysis #rstats #proportions #stan #forum
#statstab #439 {ZOID}
Thoughts: "zero-and-one inflated Dirichlet regression (also known as trinomial mixture models) in a Bayesian framework (Stan)"
Useful for composite proportions.
#statstab #435 Guide to understanding the intuition behind the Dirichlet distribution
Thoughts: Useful for composite proportions, but take ages in brms.
#brms #Dirichlet #proportions #modelling #rstats #r #betareg
https://www.andrewheiss.com/blog/2023/09/18/understanding-dirichlet-beta-intuition/
Die #Trendprognosen bei der #wienwahl waren wirklich schlecht, auch im Verhältnis zu den normalen #Umfragen. Hier ein Vergleich mit verschiedenen Abweichungsmaßen. Erste Datenspalte ist die #Wahrscheinlichkeit, dass eine #Stichprobe mit 600 gültigen Wählern netto noch schlechter ist, definiert als Werte mit geringerer #Dirichlet-#Wahrscheinlichkeitsdichte. Nächste Spalte dito, aber alles auf halbe Prozent gerundet. [1/2]
Wir wünschen allen Alumni der #GAUG einen schönen Alumni-Tag u.a. bei uns im MI im Auditorium Maximum ab 13:00 mit folgenden Programm:
* Grußworte, Neues aus der Fakultät und Alumni Chapter (Dekanin Prof. Dr. Anja Sturm, Prof. Dr. Ralf Meyer)
* Festvortrag von Prof. Dr. Ina Kersten, Zum Leben und Werk von Gustav Lejeune #Dirichlet, Mathematiker und Nachfolger von Carl Friedrich #Gauß mit musikalischer Begleitung
* Jubilarsfeier mit Verleihung von Ehrenurkunden
* Empfang mit Getränken und Kuchen
Une avancée notable vers la résolution de l' #hypothèse de #Riemann .
Poir cela, #LarryGuth et #JamesMaynard utilisent des #polynômes de #Dirichlet et une meilleure borne de leurs zéros.
Référence : https://arxiv.org/abs/2405.20552
'Choosing the Number of Topics in LDA Models – A Monte Carlo Comparison of Selection Criteria', by Victor Bystrov, Viktoriia Naboka-Krell, Anna Staszewska-Bystrova, Peter Winker.
http://jmlr.org/papers/v25/23-0188.html
#topics #lda #dirichlet
I knew of the Dirichlet function, but only as a funny example when learning about discontinuous function. Happy to remedy that today by stumbling across this brief video explaining the motivation behind it. It also increased my knowledge about the weirdness of infinities by showing proof that you can always find a rational between two irrationals, and vice versa.
https://www.youtube.com/watch?v=uRluS4KwXu8
#math #maths #mathVideos #Dirichlet #infinity
Overview of Cluster Analysis and Dirichlet Process Mixture Models https://triangleagency.co.uk/overview-of-cluster-analysis-and-dirichlet-process-mixture-models/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Analysis #Cluster #Dirichlet
Finite Mixture Model based on Dirichlet Distribution https://triangleagency.co.uk/finite-mixture-model-based-on-dirichlet-distribution/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Based #Dirichlet #Distribution
The Dirichlet Process the Chinese Restaurant Process and other representations https://triangleagency.co.uk/the-dirichlet-process-the-chinese-restaurant-process-and-other-representations/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Chinese #Dirichlet #Process
The Dirichlet Process Mixture Model https://triangleagency.co.uk/the-dirichlet-process-mixture-model/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Dirichlet #Mixture #Model
Clustering documents and gaussian data with Dirichlet Process Mixture Models https://triangleagency.co.uk/clustering-documents-and-gaussian-data-with-dirichlet-process-mixture-models/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Clustering #Data #Dirichlet
Clustering with Dirichlet Process Mixture Model in Java https://triangleagency.co.uk/clustering-with-dirichlet-process-mixture-model-in-java/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Clustering #Dirichlet #Java
Dirichlet Mechanism for Differentially Private KL Divergence Minimization
Donlapark Ponnoprat
"Riemann’s Seminal Lecture on Non-Euclidean Geometry" by Areeba Merriam 👉 🔗 https://www.cantorsparadise.com/reimanns-seminal-lecture-on-non-euclidean-geometry-11673a8d6fbb
#Riemann #SeminalLecture #NonEuclideanGeometry #EuclideanGeometry #Gravity #DifferentialGeometry #Relativity #GeneralRelativity #SpecialRelativity #RiemannianGeometry #Tensor #Minkowski #HermannMinkowski #Spacetime #Space #Time #Curvature #Klein #Jacobi #Dirichlet #Gauss #Hypersurface #EllipticGeometry #Geometry #Physics #Topology #Hyperspace #Einstein #Isaacson #Kaku #CantorsParadise
"D" in D-brane refers to a condition that it satisfies, the #Dirichlet boundary condition.
The Liouville function is a non-trivial example of a completely multiplicative function as are #Dirichlet characters, the Jacobi symbol and the Legendre symbol.
