Statistical manifold as an affine space: A functional equation approach

A statistical manifold M_μ consists of positive functions f such that defines a probability measure. In order to define an atlas on the manifold, it is viewed as an affine space associated with a subspace of the Orlicz space L^Φ. This leads to a functional equation whose solution, after imposing the linearity constrain in line with the vector space assumption, gives rise to a general form of mappings between the affine probability manifold and the vector (Orlicz) space. These results generalize the exponential statistical manifold and clarify some foundational issues in non-parametric information geometry.     

Comparison of brain mechanisms underlying the processing of Chinese characters and pseudo-characters: an event-related potential study

Most Chinese characters are composed of a semantic radical on the left and a phonetic radical on the right. The semantic radical provides the semantic information; the phonetic radical provides information concerning the pronunciation of the whole character. The pseudo‐characters in the study consisted of different sub‐lexical parts of real Chinese characters and consequently they also had the semantic radical and the phonetic radical. But they were not readable and had no actual meaning. In order to investigate the spatiotemporal cortical activation patterns underlying the orthographic, phonological and semantic processing of Chinese characters, we used event‐related brain potentials (ERPs) to explore the processing of Chinese characters and pseudo‐characters when 14 healthy Chinese college students viewed the characters passively. Results showed that both Chinese characters and pseudo‐characters elicited an evident negative potential peaking around 120 ms (N120), which appeared to reflect initial orthographic distinction and evaluation. Then, Chinese pseudo‐characters elicited a more positive ERP deflection (P220) than did Chinese characters 200–250 ms after onset of the stimuli. It was similar to the recognition potential (RP) and might reflect the integration processes of phonological and semantic processing on the basis of early orthographic information. Dipole source analysis of the difference wave (pseudo‐characters minus characters) indicated that a generator localized in the left temporal‐occipital junction contributed to this effect, which was possibly related to phonological and perceptual–semantic information integration. Between 350–450 ms, a greater negativity (N360) in pseudo‐characters as compared to characters was found over midline fronto‐central scalp regions. Dipole analysis localized the generator of N360 in the right parahippocampal cortex. Therefore, the N360 might be an N400 component and reflect the higher‐level semantic activation on the basis of orthographic, phonological and perceptual–semantic processing.     

Race and sex in a lifetime

Abstract: The Jungian analysts who participated in the writing of this paper 1 explicitly or implicitly address issues of social and political stasis, retrogression and change via their particular usages of the concept of the transcendent function. Singer proposes that the transcendent function is a term that is usually applied to individuals in whom symbolic material appears that suggests the reconciling of opposites, leading to psycho‐spiritual growth. He also looks at the notion of the transcendent function as it can appear in a similar way in the collective psyche. In addition, he gives attention to the opposite phenomenon—what might be called the descendent function—as it appears in the collective psyche and its leadership, wherein symbolic material can create the division of groups of people into opposites, mobilizing destructive rather than transformative experience. Meador states that Jung designated the mediating process of assimilating unconscious images and ideas into consciousness as the transcendent function. Just as this synthesizing process can produce insight in the individual, it can also be applied to changes in collective society. Embedded collective assumptions tend to shift when opposites collide, as they did, for example, in the turmoils of the 1960s. Her contribution focuses on the recent revolution in racial and sexual attitudes as the product of a collective struggle between certain ingrained social mores from the past and conflicting new points of view. Samuels’ conclusion is that the concept of the transcendent function has little value with respect to political problems. His contribution focuses on: (i) The limitations of using ideas (such as the transcendent function) derived from analysis with individuals in furtherance of an understanding of social and political phenomena. (ii) The specific problem of a lack of credible psycho‐political models for social progress and regress—he argues that the transcendent function is not useful in this regard. (iii) The question of political aggression, violence and conflict in society is explored from the standpoint of the transcendent function so as to investigate its possible role in the management of political conflict. Samuels severely criticizes what he terms ‘triangulation’ and ‘hyper‐reflection’ on the part of analysts who engage with political debates and issues. (iv) Leadership is examined from the standpoint of the transcendent function which, again, does not seem pertinent. Rather, new discoveries in family psychology about the role of the father have greater possibilities as a basis for new thinking about leadership.     

Mourning and the symbolic process

Abstract: This paper describes the analysis of a patient whose difficulty symbolizing absence had prevented her from being able to mourn the loss of her father in her adolescence. Through a series of symbolic enactments and synchronistic events, she was eventually able to carry out a mourning ritual that enabled her to lay her father to rest. Some implications for symbolization are discussed, developing Segal's view of symbol formation as reparation: symbols are embedded in a context of communication and can only develop in the context of a relationship; they represent relationships as well as objects; and they are emergent in the sense that they exist within a complex web of interactive, multiple meaning and cannot be reduced back to any one object that they represent.     

THE EFFECTS OF FIXED‐TIME ESCAPE ON INAPPROPRIATE AND APPROPRIATE CLASSROOM BEHAVIOR

Few studies have explored the effects of fixed‐time (FT) reinforcement on escape‐maintained behavior of students in a classroom setting. We measured the effects of an FT schedule on the disruptive and appropriate academic behaviors of 2 junior high students in a public school setting. Results demonstrated that FT escape from tasks resulted in a substantial decrease in disruptive behavior and an increase in time engaged in tasks for both participants.     

Reward magnitude effects on temporal discrimination

Changes in reward magnitude or value have been reported to produce effects on timing behavior, which have been attributed to changes in the speed of an internal pacemaker in some instances and to attentional factors in other cases. The present experiments therefore aimed to clarify the effects of reward magnitude on timing processes. In Experiment 1, rats were trained to discriminate a short (2 s) vs. a long (8 s) signal followed by testing with intermediate durations. Then, the reward on short or long trials was increased from 1 to 4 pellets in separate groups. Experiment 2 measured the effect of different reward magnitudes associated with the short vs. long signals throughout training. Finally, Experiment 3 controlled for satiety effects during the reward magnitude manipulation phase. A general flattening of the psychophysical function was evident in all three experiments, suggesting that unequal reward magnitudes may disrupt attention to duration.     

Visual‐motor and executive functions in children born preterm: The Bender Visual Motor Gestalt Test revisited

Böhm, B., Lundequist, A. & Smedler, A.‐C. (2010). Visual‐motor and executive functions in children born preterm: The Bender Visual Motor Gestalt Test revisited. Scandinavian Journal of Psychology, 51, 376–384. Visual‐motor development and executive functions were investigated with the Bender Test at age 5½ years in 175 children born preterm and 125 full‐term controls, within the longitudinal Stockholm Neonatal Project. Assessment also included WPPSI‐R and NEPSY neuropsychological battery for ages 4–7 ( Korkman, 1990 ). Bender protocols were scored according to Brannigan & Decker (2003) , Koppitz (1963) and a complementary neuropsychological scoring system (ABC), aimed at executive functions and developed for this study. Bender results by all three scoring systems were strongly related to overall cognitive level (Performance IQ), in both groups. The preterm group displayed inferior visual‐motor skills compared to controls also when controlling for IQ. The largest group differences were found on the ABC scoring, which shared unique variance with NEPSY tests of executive function. Multiple regression analyses showed that hyperactive behavior and inattention increased the risk for visual‐motor deficits in children born preterm, whereas no added risk was seen among hyperactive term children. Gender differences favoring girls were strongest within the preterm group, presumably reflecting the specific vulnerability of preterm boys. The results indicate that preterm children develop a different neurobehavioral organization from children born at term, and that the Bender test with a neuropsychological scoring is a useful tool in developmental screening around school start.     

Effects of crystallization on corrosion resistance and electron work function of Zr65Al7.5Cu17.5Ni10 amorphous alloys

The effects of crystallization on the electron work function and corrosion resistance of Zr₆₅Al_7.5Cu_17.5Ni₁₀ amorphous alloys have been studied. The single-phase amorphous alloy exhibits a better corrosion resistance and has a higher work function than the partially and fully crystallized alloys with the same composition. The close relationship between corrosion resistance and work function indicates that the Kelvin probe technique can be a powerful tool for characterizing the corrosion behaviour of amorphous alloy on an electronic level.     

Why they reminisce: Caregiver reports of the functions of joint reminiscence in early childhood

Theorists have long suggested that joint caregiver–child reminiscence is functional, in that it is useful, adaptive, and can be utilised to achieve a variety of goals in everyday life. In the present study we investigated caregiver reports of the functions of joint reminiscence across early childhood. Participants were 203 parents or other guardians of 2–6-year-old children. Caregivers completed the Caregiver–child Reminiscence Scale (CRS) designed to tap functions of joint reminiscence. Our results indicated that caregivers reported frequently talking about past experiences with their children. Exploratory factor analysis revealed seven functions of joint reminiscence: Emotion Regulation, Directive, Positive Emotionality, Individual Self in Relation to Others, Conversation, Cognitive Skills, and Peer Relationships. Although some of these functions map directly onto adult-like functions outlined in the theoretical literature, others are unique to the context of joint reminiscence and reflect developmental goals of the early childhood period.     

Investigating the mediating role of self-construal on the relationship between cultural group (Malay and Australian) and the characteristics and functional use of autobiographical memory

ABSTRACT

Cultural differences in autobiographical memory characteristics and function have often been presumed to be associated with different cultural beliefs related to the self. The current research aimed to investigate whether self-construal mediated the relationship between cultural group and the characteristics and functional use of autobiographical memory. Caucasian Australians (n?=?71) and Malay Malaysians (n?=?50) completed an online questionnaire that included the Self-Defining Memory task, the Thinking About Life Experiences Revised Questionnaire and the Self Construal Scale. As expected, the Australian group provided longer, more autonomously oriented, specific memories than the Malay group. However, contrary to our predictions, self-construal did not mediate the relationships between cultural group and memory characteristics. The Malay group reported more frequently using autobiographical memories for self-continuity than the Australian group. Finally, there was support for an indirect pathway between cultural group and use of autobiographical memories for self-continuity and social-bonding through self-construal (i.e. independent self relative to interdependent self). The findings highlight the importance of explicitly examining values assumed to be associated with autobiographical remembering, and relating these values to memory characteristics and function.