Some uniqueness results for PARAFAC2

Whereas the unique axes properties of PARAFAC1 have been examined extensively, little is known about uniqueness properties for the PARAFAC2 model for covariance matrices. This paper is concerned with uniqueness in the rank two case of PARAFAC2. For this case, Harshman and Lundy have recently shown, subject to mild assumptions, that PARAFAC2 is unique when five (covariance) matrices are analyzed. In the present paper, this result is sharpened. PARAFAC2 is shown to be usually unique with four matrices. With three matrices it is not unique unless a certain additional assumption is introduced. If, for instance, the diagonal matrices of weights are constrained to be non-negative, three matrices are enough to have uniqueness in the rank two case of PARAFAC2. The authors are obliged to Richard Harshman for stimulating this research, and to the Associate Editor and reviewers for suggesting major improvements in the presentation.     

THE DANTO-WOLLHEIM MEANING THEORY OF ART

Arthur Danto in The Transfiguration of the Commonplace and Richard Wollheim in Painting as an Art have each advanced a certain meaning theory of art (MT), more specifically, a theory according to which something is a work of art just in case it expresses a proposition. The first part of this essay sets out that view in more detail, with textual support that Danto and Wollheim do in fact hold that theory. The second part offers reasons against accepting MT. (1) There seem to be persuasive counterexamples to MT: objects that are clearly works of art but which do not appear to exhibit any tendency towards propositionality. (2) Neither theorist provides an explanation as to why someone with something to say would choose to, as it were, hide his thought behind a painting. (3) MT will force a theory of the evaluation of art that parallels the evaluation of (say) scientific or philosophical thought. Artworks will be judged according to the profundity of the thoughts they express rather than by their aesthetic features – which would make Duchamp a greater artist than Monet!     

Expressing a Good Will: Kant on the Motive of Duty

If any action is to be morally good it is not enough that it should conform to the moral law-it must also be done for the sake of the moral law: where this is not so, the conformity is only too contingent and precarious, since the nonmoral ground at work will now and then produce actions which accord with the law, but very often actions which transgress it.     

Objectively reliable subjective probabilities

Subjective Bayesians typically find the following objection difficult to answer: some joint probability measures lead to intuitively irrational inductive behavior, even in the long run. Yet well-motivated ways to restrict the set of reasonable prior joint measures have not been forthcoming. In this paper I propose a way to restrict the set of prior joint probability measures in particular inductive settings. My proposal is the following: where there exists some successful inductive method for getting to the truth in some situation, we ought to employ a (joint) probability measure that is inductively successful in that situation, if such a measure exists. In order to do show that the restriction is possible to meet in a broad class of cases, I prove a Bayesian Completeness Theorem, which says that for any solvable inductive problem of a certain broad type, there exist probability measures that a Bayesian could use to solve the problem. I then briefly compare the merits of my proposal with two other well-known proposals for constraining the class of admissible subjective probability measures, the leave the door ajar condition and the maximize entropy condition.The author owes special thanks to Kevin Kelly, for a number of helpful ideas for the proof of the Bayesian Completeness Theorem, as well as other aspects of the paper. Thanks also to Clark Glymour for some helpful suggestions for improvement of an earlier draft. Part of the work leading to this paper was funded by a Summer Research Grant from the University Research Institute of the University of Texas at Austin.     

Agency and obligation

The purpose of this paper is to explore a new deontic operator for representing what an agent ought to do; the operator is cast against the background of a modal treatment of action developed by Nuel Belnap and Michael Perloff, which itself relies on Arthur Prior's indeterministic tense logic. The analysis developed here of what an agent ought to do is based on a dominance ordering adapted from the decision theoretic study of choice under uncertainty to the present account of action. It is shown that this analysis gives rise to a normal deontic operator, and that the result is superior to an analysis that identifies what an agent ought to do with what it ought to be that the agent does.     

Group aggregates and individual reliability: The case of verbal short-term memory

Two experiments examined the generalizability of the effects of word length and phonological similarity with visual and auditory presentation in immediate verbal serial ordered recall. In Experiment 1, data were collected from 251 adult volunteers drawn from a broad cross-section of the normal population. Word length and phonological similarity in both presentation modes significantly influenced the group means. However, 43% of the subjects failed to show at least one of the effects, and the likelihood that effects appeared was highly correlated with verbal memory span. In Experiment 2, 40 subjects of the original sample were retested, 20 of whom had failed to show one or more effects in Experiment 1. Whether or not an effect had appeared for individual subjects on the first test session was a poor predictor of whether the effect would appear on retest. Finally, an analysis of subject reports demonstrated that the patterns of experimental data could be accounted for in part by the strategies that subjects reported using, and the effect of strategy was independent of the effect of span. The implications of these findings for theories of verbal short-term memory are discussed.     

A Systems Approach to the Treatment of Chemical Addiction

Therapists are increasingly considering chemical addiction from a family systems perspective. Effects of chemical dependency upon the family are discussed and intervention approaches aimed toward assisting the family as families redefine themselves and change their structure are considered. The integration of chemical dependency treatment and the family therapy is also discussed as it is practiced in an intensive outpatient program at a psychiatric hospital.     

Measuring How We Preach What We Practice: Psychoeducational Change in Depressed Inpatients

This study investigated the relationship between acquisition of psychoeducational principles and symptomatic improvement in depressed in-patients. One hundred and twenty-three inpatients hospitalized on a Cognitive Therapy Unit were administered the Test of Cognitive Behavioral Principles (TCBP) and the Beck Depression Inventory at admission and discharge. It was predicted that the TCBP scores would be higher at discharge than at pre-testing at admission. Further, it was hypothesized that the higher TCBP scores at post-test would be significantly correlated with lower Beck Depression Inventory scores at post-test. The results revealed that inpatients' TCBP scores improved over the course of treatment supporting the first hypothesis. However, the data did not support the second hypothesis as there was not a significant relationship between the TCBP scores and the BDI scores at discharge. The results are discussed in terms of clinical, theoretical, and methodological implications.     

The Impact of Job Performance,Gender, and Ethnicity on the Managerial Review of Sexual Harassment Allegations1

This study examines the managerial review of sexual harassment allegations by subordinates against supervisors as a 2-stage attribution process. In the 1st stage, reviewers decide whether the behavior was inappropriate (misconduct). In the 2nd, reviewers decide the level of company responsibility. The reviewers' 2 decisions are influenced in distinct ways by scenario participant job performance, and the genders and ethnicities of reviewer and scenario participants. Male respondents exhibited some bias for high-performing same-ethnicity supervisors—a bias not present in female responses. In the 2nd stage, female and non-White reviewers assessed significantly higher levels of company responsibility than did male and White respondents. The data suggest that although men and women do not differ substantially over what constitutes misconduct, they do differ over the company's responsibility.