The Experts below are selected from a list of 321 Experts worldwide ranked by ideXlab platform
Slawomir Michalak - One of the best experts on this subject based on the ideXlab platform.
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the taxonomy statistic uncovers novel clinical patterns in a population of ischemic stroke patients
PLOS ONE, 2013Co-Authors: Andrzej Tukiendorf, Radoslaw Kaźmierski, Slawomir MichalakAbstract:In this paper, we describe a simple taxonomic approach for clinical data mining elaborated by Marczewski and Steinhaus (M-S), whose performance equals the advanced statistical methodology known as the expectation-maximization (E-M) algorithm. We tested these two methods on a cohort of ischemic stroke patients. The comparison of both methods revealed strong agreement. Direct agreement between M-S and E-M classifications reached 83%, while Cohen’s coefficient of agreement was κ = 0.766(P < 0.0001). The statistical analysis conducted and the outcomes obtained in this paper revealed novel clinical patterns in ischemic stroke patients. The aim of the study was to evaluate the clinical usefulness of Marczewski-Steinhaus’ taxonomic approach as a tool for the detection of novel patterns of data in ischemic stroke patients and the prediction of disease outcome. In terms of the identification of fairly frequent types of stroke patients using their age, National Institutes of Health Stroke Scale (NIHSS), and diabetes mellitus (DM) status, when dealing with rough characteristics of patients, four particular types of patients are recognized, which cannot be identified by means of routine clinical methods. Following the obtained taxonomical outcomes, the strong correlation between the health status at moment of admission to emergency department (ED) and the subsequent recovery of patients is established. Moreover, popularization and simplification of the ideas of advanced mathematicians may provide an unconventional explorative platform for clinical problems.
Andrzej Tukiendorf - One of the best experts on this subject based on the ideXlab platform.
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S (2013) The taxonomy statistic uncovers novel clinical patterns in a population of ischemic stroke patients
2016Co-Authors: Andrzej Tukiendorf, Radoslaw Kaźmierski, Sławomir MichalakAbstract:In this paper, we describe a simple taxonomic approach for clinical data mining elaborated by Marczewski and Steinhaus (M-S), whose performance equals the advanced statistical methodology known as the expectation-maximization (E-M) algorithm. We tested these two methods on a cohort of ischemic stroke patients. The comparison of both methods revealed strong agreement. Direct agreement between M-S and E-M classifications reached 83%, while Cohen’s coefficient of agreement was κ = 0.766(P < 0.0001). The statistical analysis conducted and the outcomes obtained in this paper revealed novel clinical patterns in ischemic stroke patients. The aim of the study was to evaluate the clinical usefulness of Marczewski-Steinhaus ’ taxonomic approach as a tool for the detection of novel patterns of data in ischemic stroke patients and the prediction of disease outcome. In terms of the identification of fairly frequent types of stroke patients using their age, National Institutes of Health Stroke Scale (NIHSS), and diabetes mellitus (DM) status, when dealing with rough characteristics of patients, four particular types of patients are recognized, which cannot be identified by means of routine clinical methods. Following the obtained taxonomical outcomes, the strong correlation between the health status at moment of admission to emergency department (ED) and the subsequent recovery of patients is established. Moreover, popularization and simplification of the ideas o
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the taxonomy statistic uncovers novel clinical patterns in a population of ischemic stroke patients
PLOS ONE, 2013Co-Authors: Andrzej Tukiendorf, Radoslaw Kaźmierski, Slawomir MichalakAbstract:In this paper, we describe a simple taxonomic approach for clinical data mining elaborated by Marczewski and Steinhaus (M-S), whose performance equals the advanced statistical methodology known as the expectation-maximization (E-M) algorithm. We tested these two methods on a cohort of ischemic stroke patients. The comparison of both methods revealed strong agreement. Direct agreement between M-S and E-M classifications reached 83%, while Cohen’s coefficient of agreement was κ = 0.766(P < 0.0001). The statistical analysis conducted and the outcomes obtained in this paper revealed novel clinical patterns in ischemic stroke patients. The aim of the study was to evaluate the clinical usefulness of Marczewski-Steinhaus’ taxonomic approach as a tool for the detection of novel patterns of data in ischemic stroke patients and the prediction of disease outcome. In terms of the identification of fairly frequent types of stroke patients using their age, National Institutes of Health Stroke Scale (NIHSS), and diabetes mellitus (DM) status, when dealing with rough characteristics of patients, four particular types of patients are recognized, which cannot be identified by means of routine clinical methods. Following the obtained taxonomical outcomes, the strong correlation between the health status at moment of admission to emergency department (ED) and the subsequent recovery of patients is established. Moreover, popularization and simplification of the ideas of advanced mathematicians may provide an unconventional explorative platform for clinical problems.
Yurii Khomskii - One of the best experts on this subject based on the ideXlab platform.
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Full-splitting Miller trees and infinitely often equal reals
Annals of Pure and Applied Logic, 2017Co-Authors: Yurii Khomskii, Giorgio LaguzziAbstract:We investigate two closely related partial orders of trees on ωω: the full-splitting Miller trees and the infinitely often equal trees, as well as their corresponding σ-ideals. The former notion was considered by Newelski and Roslanowski while the latter involves a correction of a result of Spinas. We consider some Marczewski-style regularity properties based on these trees, which turn out to be closely related to the property of Baire, and look at the dichotomies of Newelski–Roslanowski and Spinas for higher projective pointclasses. We also provide some insight concerning a question of Fremlin whether one can add an infinitely often equal real without adding a Cohen real, which was recently solved by Zapletal.
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Cofinalities of Marczewski-like ideals
arXiv: Logic, 2016Co-Authors: Joerg Brendle, Yurii Khomskii, Wolfgang WohofskyAbstract:We show that the cofinalities of both the Miller ideal m^0 (the sigma-ideal naturally related to Miller forcing) and the Laver ideal ell^0 (related to Laver forcing) are larger than the size of the continuum in ZFC.
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Full-splitting miller trees and infinitely often equal reals
2014Co-Authors: Yurii Khomskii, Giorgio LaguzziAbstract:We investigate two closely related partial orders of trees on ωω: the full-splitting Miller trees and the infinitely often equal trees, as well as their corresponding σ-ideals. The former notion was considered by Newel-ski and Ros lanowski while the latter involves a correction of a result of Spinas. We consider some Marczewski-style regularity properties based on these trees, which turn out to be closely related to the property of Baire, and look at the dichotomies of Newelski-Ros lanowski and Spinas for higher projective pointclasses. We also provide some insight concern-ing a question of Fremlin whether one can add an infinitely often equal real without adding a Cohen real
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A General Setting for the Pointwise Investigation of Determinacy
2012Co-Authors: Yurii KhomskiiAbstract:Abstract. It is well-known that if we assume a large class of sets of reals to be determined then we may conclude that all sets in this class have certain regularity properties: we say that determinacy implies regularity properties classwise. In [Lö05] the pointwise relation between determinacy and certain regularity properties (namely the Marczewski-Burstin algebra of arboreal forcing notions and a corresponding weak version) was examined. An open question was how this result extends to topological forcing notions whose natural measurability algebra is the class of sets having the Baire property. We study the relationship between the two cases, and using a definition which adequately generalizes both the Marczewski-Burstin algebra of measurability and the Baire property, prove results similar to [Lö05]. We also show how this can be further generalized for the purpose of comparing algebras of measurability of various forcing notions.
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ICLA - A General Setting for the Pointwise Investigation of Determinacy
Logic and Its Applications, 2008Co-Authors: Yurii KhomskiiAbstract:It is well-known that if we assume a large class of sets of reals to be determined then we may conclude that all sets in this class have certain regularity properties: we say that determinacy implies regularity properties classwise . In [Lo05] the pointwise relation between determinacy and certain regularity properties (namely the Marczewski-Burstin algebra of arboreal forcing notions and a corresponding weak version) was examined. An open question was how this result extends to topological forcing notions whose natural measurability algebra is the class of sets having the Baire property. We study the relationship between the two cases, and using a definition which adequately generalizes both the Marczewski-Burstin algebra of measurability and the Baire property, prove results similar to [Lo05]. We also show how this can be further generalized for the purpose of comparing algebras of measurability of various forcing notions.
Giorgio Laguzzi - One of the best experts on this subject based on the ideXlab platform.
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On splitting trees
arXiv: Logic, 2020Co-Authors: Giorgio Laguzzi, Heike Mildenberger, Brendan Stuber-rousselleAbstract:We investigate two variants of splitting tree forcing, their ideals and regularity properties. We prove connections with other well-known notions, such as Lebesgue measurablility, Baire- and Doughnut-property and the Marczewski field. Moreover, we prove that any \emph{absolute} amoeba forcing for splitting trees necessarily adds a dominating real, providing more support to Spinas' and Hein's conjecture that $\add(\ideal{I}_\spl) \leq \mathfrak{b}$.
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Full-splitting Miller trees and infinitely often equal reals
Annals of Pure and Applied Logic, 2017Co-Authors: Yurii Khomskii, Giorgio LaguzziAbstract:We investigate two closely related partial orders of trees on ωω: the full-splitting Miller trees and the infinitely often equal trees, as well as their corresponding σ-ideals. The former notion was considered by Newelski and Roslanowski while the latter involves a correction of a result of Spinas. We consider some Marczewski-style regularity properties based on these trees, which turn out to be closely related to the property of Baire, and look at the dichotomies of Newelski–Roslanowski and Spinas for higher projective pointclasses. We also provide some insight concerning a question of Fremlin whether one can add an infinitely often equal real without adding a Cohen real, which was recently solved by Zapletal.
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Full-splitting miller trees and infinitely often equal reals
2014Co-Authors: Yurii Khomskii, Giorgio LaguzziAbstract:We investigate two closely related partial orders of trees on ωω: the full-splitting Miller trees and the infinitely often equal trees, as well as their corresponding σ-ideals. The former notion was considered by Newel-ski and Ros lanowski while the latter involves a correction of a result of Spinas. We consider some Marczewski-style regularity properties based on these trees, which turn out to be closely related to the property of Baire, and look at the dichotomies of Newelski-Ros lanowski and Spinas for higher projective pointclasses. We also provide some insight concern-ing a question of Fremlin whether one can add an infinitely often equal real without adding a Cohen real
Radoslaw Kaźmierski - One of the best experts on this subject based on the ideXlab platform.
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S (2013) The taxonomy statistic uncovers novel clinical patterns in a population of ischemic stroke patients
2016Co-Authors: Andrzej Tukiendorf, Radoslaw Kaźmierski, Sławomir MichalakAbstract:In this paper, we describe a simple taxonomic approach for clinical data mining elaborated by Marczewski and Steinhaus (M-S), whose performance equals the advanced statistical methodology known as the expectation-maximization (E-M) algorithm. We tested these two methods on a cohort of ischemic stroke patients. The comparison of both methods revealed strong agreement. Direct agreement between M-S and E-M classifications reached 83%, while Cohen’s coefficient of agreement was κ = 0.766(P < 0.0001). The statistical analysis conducted and the outcomes obtained in this paper revealed novel clinical patterns in ischemic stroke patients. The aim of the study was to evaluate the clinical usefulness of Marczewski-Steinhaus ’ taxonomic approach as a tool for the detection of novel patterns of data in ischemic stroke patients and the prediction of disease outcome. In terms of the identification of fairly frequent types of stroke patients using their age, National Institutes of Health Stroke Scale (NIHSS), and diabetes mellitus (DM) status, when dealing with rough characteristics of patients, four particular types of patients are recognized, which cannot be identified by means of routine clinical methods. Following the obtained taxonomical outcomes, the strong correlation between the health status at moment of admission to emergency department (ED) and the subsequent recovery of patients is established. Moreover, popularization and simplification of the ideas o
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the taxonomy statistic uncovers novel clinical patterns in a population of ischemic stroke patients
PLOS ONE, 2013Co-Authors: Andrzej Tukiendorf, Radoslaw Kaźmierski, Slawomir MichalakAbstract:In this paper, we describe a simple taxonomic approach for clinical data mining elaborated by Marczewski and Steinhaus (M-S), whose performance equals the advanced statistical methodology known as the expectation-maximization (E-M) algorithm. We tested these two methods on a cohort of ischemic stroke patients. The comparison of both methods revealed strong agreement. Direct agreement between M-S and E-M classifications reached 83%, while Cohen’s coefficient of agreement was κ = 0.766(P < 0.0001). The statistical analysis conducted and the outcomes obtained in this paper revealed novel clinical patterns in ischemic stroke patients. The aim of the study was to evaluate the clinical usefulness of Marczewski-Steinhaus’ taxonomic approach as a tool for the detection of novel patterns of data in ischemic stroke patients and the prediction of disease outcome. In terms of the identification of fairly frequent types of stroke patients using their age, National Institutes of Health Stroke Scale (NIHSS), and diabetes mellitus (DM) status, when dealing with rough characteristics of patients, four particular types of patients are recognized, which cannot be identified by means of routine clinical methods. Following the obtained taxonomical outcomes, the strong correlation between the health status at moment of admission to emergency department (ED) and the subsequent recovery of patients is established. Moreover, popularization and simplification of the ideas of advanced mathematicians may provide an unconventional explorative platform for clinical problems.