This paper presents a kernel density estimation method by means of real-coded crossovers. Functions of real-coded crossover operators are composed of probabilistic density estimation from parental populations and sampling from estimated models. Real-coded Genetic Algorithm (RCGA) does not explicitly estimate probabilistic distributions, however, probabilistic model estimation is implicitly included in algorithms of real-coded crossovers. Based on this understanding, we exploit the implicit estimation of probabilistic distribution of crossovers as a kernel density estimator. We also propose an application of crossover kernels (...) to Expectation-Maximization estimation (EM) of Gaussian mixtures. (shrink)

We propose a new Real-coded GA(RCGA) using the combination of two crossovers, UNDX-m and EDX. The search region of UNDX-m is biased to the inside area that the population of the RCGA covers. Because of this search bias, the GA using UNDX-m causes stagnation of its search if the cost function has a kind of structure, so called, a ridge structure or a multiple-peak structure. In order to overcome this stagnation, we propose a new crossover EDX, whose search is biased (...) toward extrapolative one. Experimental results show that RCGA with EDX can deal with both ridge-structure function whose dimension reaches more than hundreds and multiple-peak function whose optimum resides at the corner of the search area. (shrink)

This paper presents the Real-coded Genetic Algorithms(RCGA) which can treat with high-dimensional ill-scaled structures, what is called, k -tablet structure. The k -tablet structure is the landscape that the scale of the fitness function is different between the k -dimensional subspace and the orthogonal (n-k) -dimensional subspace. The search speed of traditional RCGAs degrades when high-dimensional k -tablet structures are included in the landscape of fitness function. In this structure, offspring generated by crossovers is likely to spread wider region than (...) the region where the parental population covers. This phenomenon causes the stagnation of the search. To resolve this problem, we propose a new crossover LUNDX- m, which uses only m -dimensional latent variables. The effectiveness of the proposal method is tested with several benchmark functions including k -tablet structures and we show that our proposal method performs better than traditional crossovers especially when the dimensionality n is higher than 100. (shrink)

In particular, as we shall see, Collingwood is often dismissed as having held an indefensible, outmoded ‘ideal’ theory, according to which the work of art is primarily ‘mental’, while his potential role in current debates is simply ignored. I will argue that this view is largely mistaken.

It has been suggested that preparing to teach and teaching are conditionally effective in enhancing one’s own learning. This paper focuses on interactivity—the level of teacher-student interaction in expected or actual teaching—as the potential key to understanding and controlling the variability in the effectiveness of learning by preparing to teach and teaching. By summarizing and reanalyzing the results of previous studies, I suggest that the learning benefits of studying with the expectation of direct teaching (i.e., teaching a student face-to-face) are (...) greater than those of studying with the expectation of indirect teaching (i.e., teaching a student indirectly by creating a lecture video, providing written explanations, or using other means) and that learning by direct teaching surpasses learning by explaining to oneself or indirect teaching at least after preparing to do so. Next, three candidate explanations for the impact of interactivity are discussed: the advantages of asking and answering questions, obtaining additional information about and from one’s student, and enhancing one’s motivation to process learning material deeply while preparing to teach and teaching. Finally, I conclude with the remaining questions and directions for future research. (shrink)

In this article Kobayashi Toshiaki discusses the importance in all periods of Karatani’s oeuvre of the notion of an “exterior” that necessarily falls beyond the bounds of a system, together with the notion of “singularity” as that which cannot be contained within a “universal.” The existential dread vis-à-vis the uncanny other that Karatani in his early works of literary criticism had initially found to be the underlying tone in Sōseki’s works remained with Karatani himself throughout his career and is (...) what had drawn him closer to philosophy. This sense of the “exterior” to—or other than—the normality of consciousness and the meaningfulness of the world is then extended and applied as the “exterior to systems” in his analyses of logical, mathematical, and linguistic systems, in his reading of Marx’s discussion of capitalist economics, and most recently in his analysis of commodity exchange between communities. (shrink)

We investigate stationarity of types over models in simple theories. In particular, we show that in simple theories with finite SU-rank, any complete type over a model having Cantor-Bendixson rank is stationary.

This paper examines assumptions concerning the relationship between citizenship, justice, and well-being, based on representative political philosophies, including egoism, utilitarianism, libertarianism, liberalism, and communitarianism. A previous paper raised the possibility of an inter-disciplinary framework for collaboration between psychology and political philosophy. This study picks up that thread and attempts to actualize a collaborative research effort based on a framework grounded in positive political psychology. The first part of this study reflects on the methodology situated between empirical psychology and philosophy in (...) reference to the debates caused by psychological and philosophical situationism. In response to its criticism against virtue ethics, the possibility of reconstructing it on empirical psychology has paradoxically emerged. Similarly, this study validates assumptions on political philosophies employing the psychological method concerning well-being. Accordingly, the central part examines the plausibility of the assumptions by empirical evidence obtained from two internet surveys in Japan. The relationships between citizenship, justice, and well-being are the most substantial in the communitarian assumption. The exploratory factor analysis of the two surveys illuminates that the correlations between citizenship, justice, and well-being are substantial. This relationship denies the egoism assumption. Moreover, almost all correlations between the three are higher based on virtue-related indicators than hedonic ones. These findings are not in tune with the utilitarian assumption and are most congruent to the communitarian assumption. In addition, citizenship and justice correlate more with political well-being than overall well-being. As these are more directly associated with political well-being in the communitarian assumption, this result aligns with the assumption. Furthermore, the positive relationship between disparity elimination and well-being fits the liberal rather than the libertarian assumption. Nevertheless, the substantial correlation between ethical justice and well-being is higher by virtue-related indicators than hedonic indicators, suggesting distributive justice is associated with the ethical dimension. Again, this fits the communitarian assumption rather than the liberal assumption. Thus, philosophical psychology empirically verifies the interdependence of the three conceptions and the relative plausibility of the communitarian assumption. Moreover, as the relationship between the three is essential for political philosophies, the result increases the reliability of communitarianism. (shrink)

The Fist-Edge-Palm task, a manual hand task, has been used to detect frontal dysfunctions in clinical situations: its performance failures are observed in various prefrontal cortex -related disorders, including schizophrenia. However, previous imaging studies reported that the performance of the FEP task activated motor-related areas, but not the PFC. Here, we aimed to investigate the relationships between the performance of the FEP task and PFC functions. Hemodynamic activity in the PFC, including the dorsolateral PFC and frontal pole, was recorded. Healthy (...) young subjects performed the FEP task as well as a palm tapping task three times. The subjects also completed a Wisconsin Card Sorting Test and Schizotypal Personality Scale questionnaire. We found that hemodynamic activity in the PFC increased in the first trial of the FEP task but decreased considerably in the second and third trials compared to the PT task. The number of performance errors in the FEP task also decreased in the second and third trials. Error reduction in the FEP task between the first and second trials was negatively correlated with schizotypal trait and the number of perseveration errors in the WCST. Furthermore, changes in the PFC hemodynamic activity between the first and second trials were positively correlated with error reduction in the FEP task between the first and second trials, and negatively correlated with the number of perseveration errors in the WCST. These results suggest that learning in the FEP task requires PFC activation, which is negatively associated with perseveration errors in the WCST. The results further suggest that the FEP task, in conjunction with near-infrared spectroscopy, may be useful as a diagnostic method for various disorders with PFC dysfunction. (shrink)

The propositional fragment L 1 of Leniewski's ontology is the smallest class (of formulas) containing besides all the instances of tautology the formulas of the forms: (a, b) (a, a), (a, b) (b,). (a, c) and (a, b) (b, c). (b, a) being closed under detachment. The purpose of this paper is to furnish another more constructive proof than that given earlier by one of us for: Theorem A is provable in L 1 iff TA is a thesis of first-order (...) predicate logic with equality, where T is a translation of the formulas of L 1 into those of first-order predicate logic with equality such that T(a, b) = FblxFax (Russeltian-type definite description), TA B = TA TB, T A = TA, etc. (shrink)

In meinem Aufsatz möchte ich die Ästhetik auf ihre Möglichkeit hin überprüfen, eine grundlegende Theorie des „Sinnlichen" innerhalb der menschlichen kulturellen Tätigkeiten zu sein. Dieses Vorhaben werde ich damit beginnen, Heideggers Kritik an der traditionellen Ästhetik zu behandeln. Dem überlieferten Ästhetikverständnis liegt nach Heidegger offenbar diesselbe vorstellend-vergegenständlichende Denkweise zugrunde, die der ganzen abendländischen Geschichte eigen ist. Doch lässt sich nach Heidegger mittels der auf dem metaphysischen Denken basierenden Ästhetik das Wesen der Kunst niemals erschöpfend behandeln, da die Kunst als das (...) Ins-Werk- Setzen der Wahrheit verstanden werden muss.Freilich nimmt Heidegger immer eine kritische Haltung gegenüber der sogenannte „Ästhetik" ein, aber man kann dadurch auch die Möglichkeit einer anderen erweiterten Ästhetik finden, die die anfängliche Wahrheitsfunktion der aisthesis als Wahr-nehmung ins Auge zu fassen versucht. Von diesem grundlegenden Standpunkt aus möchte ich mich mit einem gegenwärtigen Versuch des ästhetischen Denkens (Wolfgang Welsch) und mit einer nicht-europäischen traditionellen Ästhetik (Shüzö Kuki) beschäftigen. (shrink)

These essays are concerned with developing a dialogue between humanism and historical materialism in human geography, and to demonstrate the creative tension which emerges through the mediation of their different frames of reference.

The purpose of this paper is to clarify Prajñākaragupta’s view of mental perception ( mānasapratyakṣa ), with special emphasis on the relationship between mental perception and self-awareness. Dignāga, in his PS 1.6ab, says: “mental [perception] ( mānasa ) is [of two kinds:] a cognition of an [external] object and awareness of one’s own mental states such as passion.” According to his commentator Jinendrabuddhi, a cognition of an external object and awareness of an internal object such as passion are here equally (...) called ‘mental perception’ in that neither depends on any of the five external sense organs. Dharmakīrti, on the other hand, considers mental perception to be a cognition which arises after sensory perception, and does not call self-awareness ‘mental perception’. According to Prajñākaragupta, mental perception is the cognition which determines an object as ‘this’ ( idam iti jñānam ). Unlike Dharmakīrti, he holds that the mental perception follows not only after the sensory perception of an external object, but also after the awareness of an internal object. The self-awareness which Dignāga calls ‘mental perception’ is for Prajñākaragupta the cognition which determines as ‘this’ an internal object, or an object which consists in a cognition; it is to be differentiated from the cognition which cognizes cognition itself, that is, self-awareness in its original sense. (shrink)

We argue that the proper context for understanding Collingwood’s The Principles of Art is his claim that it has bearing “upon the condition of art in England in 1937”. We thus argue that he formulated a philosophical argument that underpins avant-garde dramatic poetry and theatrical practices (Eliot, Auden and the Group Theatre), taking his interpretation of Spinoza’s Ethics 5 prop. 3 to be the book’s central thesis: it is through art that one knows, against the ‘corruption of consciousness’, what emotions (...) one feels and recognizes them as one’s own. Collingwood further believed that this could only be achieved through collaboration between the artist and the community, validating new theatrical practices involving interaction with the audience. We analyse these views in the context of England in 1937: in an era marked by the rise of Fascism and Nazism, Collingwood believed that art thus conceived could help restoring emotional support for the defense of liberal democracies. We conclude with an exploration of parallels with and divergences from the Spinozist idea of ‘mobilizing affects’ in contemporary ‘left populism’ (Mouffe). (shrink)