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Associating Cognition With Amyloid Status Using Partially Ordered Set Analysis [PDF]

open access: yesFrontiers in Neurology, 2019
Background: The presence of brain amyloid-beta positivity is associated with cognitive impairment and dementia, but whether there are specific aspects of cognition that are most linked to amyloid-beta is unclear.
Sarah J.A. Carr   +18 more
doaj   +2 more sources

A remark on the extension of the concept of incidence algebras to nonlocally finite partially ordered sets [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2004
An incidence algebra of a nonlocally finite partially ordered set Q is a very rare concept, perhaps nonexistent. In this note, we will attempt to construct such an algebra.
Boniface I. Eke
doaj   +2 more sources

Model Selection over Partially Ordered Sets [PDF]

open access: greenProceedings of the National Academy of Sciences, 2023
In problems such as variable selection and graph estimation, models are characterized by Boolean logical structure such as the presence or absence of a variable or an edge. Consequently, false-positive error or false-negative error can be specified as the number of variables/edges that are incorrectly included or excluded in an estimated model. However,
Armeen Taeb   +2 more
openalex   +6 more sources

Leveled partially ordered sets [PDF]

open access: hybridComputational and Applied Mathematics
Abstract This article presents our approach to modeling a problem posed by a company aiming to optimize the 3D printing of an object within the context of additive manufacturing, where each object is created layer by layer. We introduce the concept of leveled partially ordered sets to manage large sets of points that represent each layer of ...
Fernando Fueyo   +5 more
openalex   +4 more sources

Cancel culture [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2023
Let A, B, C, and D be posets. Assume C and D are finite with a greatest element. Also assume that AC ≅B D. Then there exist posets E, X, Y , and Z such that A ≅E X, B ≅E Y , C≅Y ×Z, and D≅X×Z. If C≅D, then A≅B.
Jonathan Farley
doaj   +1 more source

Does the endomorphism poset $P^P$ determine whether a finite poset $P$ is connected? An issue Duffus raised in 1978 [PDF]

open access: yesMathematica Bohemica, 2023
Duffus wrote in his 1978 Ph.D. thesis, "It is not obvious that $P$ is connected and $P^P\cong Q^Q$ imply that $Q$ is connected", where $P$ and $Q$ are finite nonempty posets.
Jonathan David Farley
doaj   +1 more source

A Partial Order OWA Operator for Solving the OWA Weighing Dilemma

open access: yesIEEE Access, 2023
Prior weights are necessary for the application of ordered weighted averaging (OWA) operators, but obtaining them is expensive and contentious, which restricts the application of operators.
Mingyu Li, Ruize Xu, Qinghua Chen
doaj   +1 more source

Predicting Online Item-Choice Behavior: A Shape-Restricted Regression Approach

open access: yesAlgorithms, 2023
This paper examines the relationship between user pageview (PV) histories and their itemchoice behavior on an e-commerce website. We focus on PV sequences, which represent time series of the number of PVs for each user–item pair.
Naoki Nishimura   +3 more
doaj   +1 more source

Order preserving maps on quantum measurements [PDF]

open access: yesQuantum, 2022
We study the partially ordered set of equivalence classes of quantum measurements endowed with the post-processing partial order. The post-processing order is fundamental as it enables to compare measurements by their intrinsic noise and it gives grounds
Teiko Heinosaari   +2 more
doaj   +1 more source

Finite partially ordered set and some of its properties

open access: yesBibechana, 2015
This paper focuses on some main properties of the finite partially ordered sets. These properties are furnished in the form of theorems. Here we have presented three such theorems. The first theorem is called as ‘duality theorem’.
RN Yadav   +3 more
doaj   +3 more sources

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