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Implementing the time-to-event continual reassessment method in the presence of partial orders in a phase I head and neck cancer trial [PDF]

open access: goldBMC Medical Research Methodology
Background In this article we describe the methodology of the time-to-event continual reassessment method in the presence of partial orders (PO-TITE-CRM) and the process of implementing this trial design into a phase I trial in head and neck cancer ...
Amit Patel   +7 more
doaj   +4 more sources

On contraction coefficients, partial orders and approximation of capacities for quantum channels [PDF]

open access: yesQuantum, 2022
The data processing inequality is the most basic requirement for any meaningful measure of information. It essentially states that distinguishability measures between states decrease if we apply a quantum channel and is the centerpiece of many results in
Christoph Hirche   +2 more
doaj   +3 more sources

Bounding quantum capacities via partial orders and complementarity [PDF]

open access: greenIEEE Transactions on Information Theory, 2022
Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted to finding tight and computable bounds on these capacities.
Christoph Hirche, Felix Leditzky
openalex   +3 more sources

Betweenness of partial orders [PDF]

open access: yesRAIRO - Theoretical Informatics and Applications, 2020
We construct a monadic second-order sentence that characterizes the ternary relations that are the betweenness relations of finite or infinite partial orders. We prove that no first-order sentence can do that.
B. Courcelle
semanticscholar   +5 more sources

On the heapability of finite partial orders [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We investigate the partitioning of partial orders into a minimal number of heapable subsets. We prove a characterization result reminiscent of the proof of Dilworth's theorem, which yields as a byproduct a flow-based algorithm for computing such a ...
János Balogh   +4 more
doaj   +7 more sources

A new class of partial orders

open access: greenAlgebra Colloquium, 2023
Let [Formula: see text] be a unital [Formula: see text]-ring. For any [Formula: see text], we apply the [Formula: see text]-core inverse to define a new class of partial orders in [Formula: see text], called the [Formula: see text]-core partial order ...
Huihui Zhu, Liyun Wu
openalex   +3 more sources

Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders

open access: diamondApplied General Topology, 2016
The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame ...
Somayya Komal, Poom Kumam
doaj   +3 more sources

Depth Functions for Partial Orders with a Descriptive Analysis of Machine Learning Algorithms [PDF]

open access: yesInternational Symposium on Imprecise Probabilities and Their Applications, 2023
We propose a framework for descriptively analyzing sets of partial orders based on the concept of depth functions. Despite intensive studies of depth functions in linear and metric spaces, there is very little discussion on depth functions for non ...
Hannah Blocher   +3 more
semanticscholar   +1 more source

Equivalence, Partial Order and Lattice of Neighborhood Sequences on the Triangular Grid

open access: yesMathematics, 2022
In (digital) grids, neighbor relation is a crucial concept; digital distances are based on paths through neighbor points. Digital distances are significant, e.g., in digital image processing for giving an approximation of the Euclidean distance and ...
Benedek Nagy
doaj   +1 more source

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