scholarly journals Generalized subdifferentials: a Baire categorical approach

2001 ◽  
Vol 353 (10) ◽  
pp. 3875-3893 ◽  
Author(s):  
Jonathan M. Borwein ◽  
Warren B. Moors ◽  
Xianfu Wang
Keyword(s):  
Categorical Approach ◽  
Generalized Subdifferentials

Comparison of categorical and dimensional approaches to the diagnosis of personality disorders

2020 ◽  
pp. 15-25
Author(s):  
T. G. Gadisov ◽  
A. A. Tkachenko
Keyword(s):  
Comparative Study ◽  
Personality Disorders ◽  
Big Five ◽  
Factor Model ◽  
Five Factor Model ◽  
Personality Structure ◽  
Categorical Approach ◽  
Personal Traits ◽  
Clinical Method ◽  
Neo Five Factor Inventory

Summary. Objective: A comparative study of the personality structure from the perspective the Five-factor personality model (“Big Five”) in mentally healthy and in people with personality disorders depending on the leading radical determined by the clinical method.Materials and methods: a comparative study of personality structures in the mentally healthy (13 people) and in individuals with personality disorders (47 people) was carried out. To assess the personality structure, the NEO-Five Factor Inventory questionnaire was used. Persons with personality disorders were divided into groups in accordance with the leading radical: 24 — with emotionally unstable; 13 — with a histrionic; 6 — with schizoid; 4 — with paranoid radicals.Results: There were no differences in the values of the domains of the Five-Factor personality model between a group of individuals with personality disorders and the norm. The features of domain indicators of the Five-factor personality model were revealed in individuals with personality disorder depending on theradical.Conclusion: The NEO-Five Factor Inventory questionnaire, like most other tools from the perspective of the Five-Factor Model, is not suitable for assessing a person in terms of assigning it to variants of a mental disorder. When comparing the categorical and dimensional approaches to assessing the structure of personality disorders, it was found that the obligate personality traits identified using the categorical approach are fully reflected in the «Big Five» in individuals with a leading schizoid radical. The relations of obligate personal traits with the domains of the Five-factor model of personality in individuals with other (paranoid, histrionic,and emotionally unstable) radicals are less clear.

An Ode to the Categorical Approach

2019 ◽  
Author(s):  
Amit Jain ◽  
Phillip Warren
Keyword(s):  
Categorical Approach

From K-Nets to PK-Nets: A Categorical Approach

2016 ◽  
Vol 54 (2) ◽  
pp. 5-63
Author(s):  
Alexandre Popoff ◽  
Carlos Agon ◽  
Moreno Andreatta ◽  
Andrée Ehresmann
Keyword(s):  
Categorical Approach

scholarly journals Personality Pathology Predicts Outcomes in a Treatment-Seeking Sample with Bipolar I Disorder

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Susan J. Wenze ◽  
Brandon A. Gaudiano ◽  
Lauren M. Weinstock ◽  
Ivan W. Miller
Keyword(s):  
Psychosocial Functioning ◽  
Secondary Analysis ◽  
Personality Pathology ◽  
Treatment Seeking ◽  
Categorical Approach ◽  
Bipolar I Disorder ◽  
Manic Symptoms ◽  
Percent Time ◽  
The Relationship

We conducted a secondary analysis of data from a clinical trial to explore the relationship between degree of personality disorder (PD) pathology (i.e., number of subthreshold and threshold PD symptoms) and mood and functioning outcomes in Bipolar I Disorder (BD-I). Ninety-two participants completed baseline mood and functioning assessments and then underwent 4 months of treatment for an index manic, mixed, or depressed phase acute episode. Additional assessments occurred over a 28-month follow-up period. PD pathology did not predict psychosocial functioning or manic symptoms at 4 or 28 months. However, it did predict depressive symptoms at both timepoints, as well as percent time symptomatic. Clusters A and C pathology were most strongly associated with depression. Our findings fit with the literature highlighting the negative repercussions of PD pathology on a range of outcomes in mood disorders. This study builds upon previous research, which has largely focused on major depression and which has primarily taken a categorical approach to examining PD pathology in BD.

Contrary-to-Duty Reasoning: A Categorical Approach

2015 ◽  
Vol 9 (1) ◽  
pp. 47-92 ◽  
Author(s):  
Clayton Peterson
Keyword(s):  
Categorical Approach

Categorical concepts for parameterized partial specifications

1995 ◽  
Vol 5 (2) ◽  
pp. 153-188 ◽  
Author(s):  
Ingo Claßen ◽  
Martin GroßE-Rhode ◽  
Uwe Wolter
Keyword(s):  
Structural Theory ◽  
Specification Languages ◽  
Alternative Definition ◽  
Categorical Approach ◽  
Categorical Constructions ◽  
Definition Of ◽  
Act One

Categorical constructions inherent to a theory of algebras with strict partial operations are presented and exploited to provide a categorical deduction calculus for conditional existence equations and an alternative definition of such algebras based on the notion of syntactic categories. A compact presentation of the structural theory of parameterized (partial) specifications is given using the categorical approach. This theory is shown to be suitable for providing initial semantics as well as the compositionality results necessary for the definition of specification languages like ACT ONE and ACT TWO

scholarly journals A categorical perspective towards aerodynamic models for aeroelastic analyses of bridge decks

2019 ◽  
Vol 6 (3) ◽  
pp. 181848 ◽  
Author(s):  
I. Kavrakov ◽  
D. Legatiuk ◽  
K. Gürlebeck ◽  
G. Morgenthal
Keyword(s):  
Mathematical Models ◽  
Category Theory ◽  
Structural Engineering ◽  
Model Comparison ◽  
Model Assessment ◽  
Adequate Description ◽  
Categorical Approach ◽  
Abstract Approach ◽  
Huge Variety ◽  
Modelling Approach

Reliable modelling in structural engineering is crucial for the serviceability and safety of structures. A huge variety of aerodynamic models for aeroelastic analyses of bridges poses natural questions on their complexity and thus, quality. Moreover, a direct comparison of aerodynamic models is typically either not possible or senseless, as the models can be based on very different physical assumptions. Therefore, to address the question of principal comparability and complexity of models, a more abstract approach, accounting for the effect of basic physical assumptions, is necessary. This paper presents an application of a recently introduced category theory-based modelling approach to a diverse set of models from bridge aerodynamics. Initially, the categorical approach is extended to allow an adequate description of aerodynamic models. Complexity of the selected aerodynamic models is evaluated, based on which model comparability is established. Finally, the utility of the approach for model comparison and characterization is demonstrated on an illustrative example from bridge aeroelasticity. The outcome of this study is intended to serve as an alternative framework for model comparison and impact future model assessment studies of mathematical models for engineering applications.

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