Generalized external indexes for comparing data partitions with overlapping categories

There is a family of well-known external clustering validity indexes to measure the degree of compatibility or similarity between two hard partitions of a given data set, including partitions with different numbers of categories. A unified, fully equivalent set-theoretic formulation for an important class of such indexes was derived and extended to the fuzzy domain in a previous work by the author [Campello, R.J.G.B., 2007. A fuzzy extension of the Rand index and other related indexes for clustering and classification assessment. Pattern Recognition Lett., 28, 833-841]. However, the proposed fuzzy set-theoretic formulation is not valid as a general approach for comparing two fuzzy partitions of data. Instead, it is an approach for comparing a fuzzy partition against a hard referential partition of the data into mutually disjoint categories. In this paper, generalized external indexes for comparing two data partitions with overlapping categories are introduced. These indexes can be used as general measures for comparing two partitions of the same data set into overlapping categories. An important issue that is seldom touched in the literature is also addressed in the paper, namely, how to compare two partitions of different subsamples of data. A number of pedagogical examples and three simulation experiments are presented and analyzed in details. A review of recent related work compiled from the literature is also provided. (c) 2010 Elsevier B.V. All rights reserved.

Irreducible morphisms of categories of complexes

We study irreducible morphisms of complexes. In particular, we show that the irreducible morphisms having one (finite) irreducible submorphism fall into three canonical forms and we give necessary and sufficient conditions for a given morphism of that type to be irreducible. Our characterization of the above mentioned type of irreducible morphisms of complexes characterizes also some class of irreducible morphisms of the derived category D(-)(A) for A a finite dimensional k-algebra, where k is a field. (C) 2009 Published by Elsevier Inc.

On the Derived Categories and Quasitilted Algebras

In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider the set J(X*) = {i is an element of Z vertical bar H(i)(X*) not equal 0} and we define the application l(X*) = maxJ(X*) - minJ(X*) + 1. We give relationships between some homological properties of an algebra and the respective application l. On the other hand, using homological properties again, we determine two subcategories of the bounded derived category of an algebra, which turn out to be the bounded derived categories of quasi-tilted algebras. As a consequence of these results we obtain new characterizations of quasi-tilted and quasi-tilted gentle algebras.

On moduli spaces for abelian categories

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.

FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS

In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterize quasi-directed components. We apply this notion to the study of laura algebras and we use it to define a class of algebras with predictable Auslander-Reiten components.

Visual perception of action categories and the "bowl-throw" decision in cricket.

Cricket umpires, cricket bowlers, and physical education students (who were knowledgeable about the rules of cricket), were shown 72 videotaped point-light displays of cricket deliveries with varying extents of elbow flexion such that they ranged from highly “bowl-like” to highly “throw-like”. The observers made a bowl-throw decision about each display, and the umpires and bowlers reported their confidence on a 5-point scale. The percentage of displays reported as a “bowl” was 59, 40, and 44 for the umpires, bowlers, and students respectively. Umpires made significantly more bowl decisions than both the bowlers and students, but there was no difference between the latter groups. Umpires were significantly more confident than the bowlers in both their bowl and throw decisions. Thus, in an experimental setting, with no apparent costs or benefits associated with their decision-makin, umpires “called” a bowler significantly less frequently for throwing than other knowledgeable observers. The procedures devised for this experiment demonstrate that psychophysical methods can be applied to the problem of discrete action-category nominations in sport (e.g., bowl or throw, walk or run).

An analysis of the involvement-commitment relationship across product categories

An involvement-commitment-loyalty model is proposed and tested with AMOS. The results for fast-moving-consumer-goods (fmcg) are consistent with the theory. Ego involvement influences purchase involvement, which influences brand commitment, which influences customer loyalty. The results for the more ego-involved service of hair stylists, however, showed a different result. Purchase loyalty did not mediate the relationship between ego involvement and brand commitment, but instead ego involvement had a direct relationship with brand commitment.

Change in the prevalence of overweight and obesity among young Australian, 1969-1997

BACKGROUND: Effective public policy requires information on the prevalence of overweight and obesity. OBJECTIVE: We determined changes in the population prevalence of overweight and obesity among young Australians (aged 7-15 y) from 1969 to 1985 to 1997. DESIGN: Data from 5 independent population surveys were analyzed: the Australian Youth Fitness Survey, 1969; the Australian Health and Fitness Survey, 1985; the South Australian Schools Fitness and Physical Activity Survey, 1997; the New South Wales Schools Fitness and Physical Activity Survey, 1997; and the Health of Young Victorians Study, 1997. Measured body mass index was used as the index of adiposity, and recently published body mass index cutoff values were used to categorize each subject as nonoverweight, overweight, obese, or either overweight or obese. RESULTS: For 1985-1997, the population prevalence of overweight increased by 60-70%, obesity increased 2-4-fold, and the combined overweight and obesity categories doubled. The findings were consistent across data sets and between the sexes. For 1969-1985, there was no change in the prevalence of overweight or obesity among girls, but among boys the prevalence of overweight increased by 35%, the prevalence of obesity trebled, and the prevalence of overweight and obesity combined increased by 60%. CONCLUSIONS: The data show that in 1985-1997, the prevalence of overweight and obesity combined doubled and that of obesity trebled among young Australians, but the increase over the previous 16 y was far smaller. These results should increase our sense of urgency in identifying and implementing effective responses to this major threat to public health.

Taxation threat, motivational postures, and responsive regulation

The central proposition of motivational posturing theory is that regulatees place social distance between themselves and authority, communicating the nature of that distance through a narrative that protects the self from negative appraisal by the authority. One of the key components of posturing is the coping sensibility that individuals adopt to manage the threat of authority. At a baseline level, authorities make demands on citizens and as such threaten individual freedom. At the highest level, authorities threaten through punishment for non-compliance. Data collected from 3,253 randomly selected Australian taxpayers and a special group of 2,292 taxpayers in conflict with the tax authority are used to show that in both groups, three coping sensibilities contribute to posturing ("thinking morally,""feeling oppressed," and "taking control"), and that all three sensibilities are significantly heightened in the group experiencing conflict with the authority. The article argues that the most effective regulatory outcome is achieved when the regulatory process can dampen the "taking control" and "feeling oppressed" sensibilities, and strengthen the "thinking morally" sensibility. Responsive regulation is an approach that encourages tax authorities to read motivational postures, understand the sensibilities that shape them, and tailor a regulatory intervention accordingly.

The composition of brand knowledge across product categories

This research reported in this paper tested the composition of the brand knowledge construct across three product categories. The brand knowledge construct was tested for a fast-moving consumer good (fmcg), a service, and a durable good. A quasi-experimental method was utilised, with the order of recall manipulated. Respondents undertook a free recall exercise using category cues, and then completed multi-item measures of brand knowledge. This exercise was repeated for each product category. A usable sample of 270 responses was gained. Analysis of the data found that respondents utilised different components of the knowledge construct depending on the product category being recalled. In addition, the order of recall (fmcg or durable first) affected the recall performance for later categories. Recall performance was highest for the durable category, which indicated that respondents may have been delving into different memory stores, and accessing long-term memory for durable good recall. This paper makes a contribution to the field of branding by providing a test of the knowledge structure across three product categories, and indicating the components that contribute to knowledge for each category. These findings have implications for advertising design, and the formation of links to brands in memory by advertisers, for use in later recall episodes.

System of systems approach to threat detection and integration of heterogeneous independently operable systems

This paper presents a system of systems approach to threat detection through integration of heterogeneous independently operable systems. The approach is presented on a realistic situation where a human-controlled base robot, swarm robot(s), and sensors work together to obtain a decision about a possible threat in the environment. The base robot is remotely operated by a human using a haptic control system. The swarm robot(s) are autonomous and can accept directives from the base robot. Finally, sensors directly communicate with (report to) the base robot. In this scenario, heterogeneous systems and human interact in a system of systems architecture. With the inclusion of human expert and sensor verification of swarm robots, the system can successfully perform the threat detection and reduce the false alarms. Finally, a system of systems simulation framework including a base robot, a swarm robot, and two sensors is presented in addition to an experimental evaluation of the proposed SoS architecture