Reinforcement Learning (RL) handles policy search problems: searching a mapping from state space to action space. However RL is based on gradient methods and as such, cannot deal with problems with multimodal landscape. In contrast, though Genetic Algorithm (GA) is promising to deal with them, it seems to be unsuitable for policy search problems from the viewpoint of the cost of evaluation. Minimal Generation Gap (MGG), used as a generation-alternation model in GA, generates many offspring from two or more parents (...) selected from a population. Therefore, evaluating policies of generated offspring requires much trial and error (i.e. interaction between an agent and an environment). In this paper, we incorporate importance sampling into the framework of MGG in order to reduce the cost of evaluation on policy search. The proposed techniques are applied to Markov Decision Process (MDP) with multimodal landscape. The experimental results show that these techniques can reduce the number of interaction between an agent and an environment, and also mean that MGG and importance sampling are good for each other. (shrink)

In this paper, we propose an extension of the Minimal Generation Gap (MGG) to reduce the number of fitness evaluation for the real-coded GAs (RCGA). When MGG is applied to actual engineering problems, for example applied to optimization of design parameters, the fitness calculating time is usually huge because MGG generates many children from one pair of parents and the fitness is calculated by repetitive simulation or analysis. The proposed method called Saving MGG reduces the number of fitness evaluation by (...) estimating the promising degrees of children using individual distribution and fitness information of population, and selecting children based on the promising degree before evaluating the fitness. Experimental results show that RCGA with Saving MGG can provide large reducing effects on 20 or 30 dimensional Sphere functions, Rosenbrock functions, ill-scaled Rosenbrock functions, and Rastrigin function. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 22 (2002) 244-248 [Access article in PDF] Book Review The Social Self in Zen and American Pragmatism The Social Self in Zen and American Pragmatism. By Steve Odin. SUNY Series in Constructive Postmodern Thought. Albany: SUNY, 1996. xvi + 482 pp. Better late than never! As one of the few volumes—only two to date, actually—in the SUNY Series in Constructive Postmodern Thought to address a perennial philosophical (...) problem by drawing seriously upon both the Eastern (Zen Buddhism) and Western (American pragmatism) philosophical traditions, this book should have been reviewed in the pages of this journal a long time ago. Odin's thesis is that both traditions evidence a paradigm shift during the twentieth century from a monological and subjectivistic concept of an individualized self toward a dialogical and intersubjective concept of social self. He explores this hypothesis in the three parts of the book devoted to the social self in modern Japanese philosophy, the social self in Mead and American pragmatism, and a comparative analysis.Part 1 consists of three chapters focused on the philosophical thought of Watsuji Tetsuro (1885-1962) and Nishida Kitaro (1870-1945), and on the psychological investigations of Doi Takeo (dates not given, but whose primary works were published in the 1970s and 1980s). Watsuji's central idea is a Zen and Confucian ningenmodel of personhood whereby the self emerges in "the betweenness of person and person" as the individual (nin), understood primarily in temporal categories, and society (gen), understood primarily in the spatial categories of nature, community and family, mutually empty themselves into the other. (In a later chapter, Odin draws parallels between the yi-li—spontaneous, novel reaction-ritual action—dialectic of Confucianism and the I-me dialectic of George Herbert Mead.) This notion of self as ningen subsequently served, at least in part, the development of nihonjinron scholarship—"studies of Japanese identity"—as advanced by thinkers like Kimura Bin, Hamaguchi Eshun, and Kumon Shumpei. The goal has been to steer the middle way between individualistic (Western) and collectivistic (Confucian) conceptions of the self toward what Hamaguchi and Kumon call a contextualist (kanjin), and thereby truly Japanese, understanding.Odin's exposition of Nishida focuses on his idea of the true self—the perennial quest of the Zen tradition—as a "social self" (shakaiteki jiko) that emerges from the I-thou, self-other, and individual-environment dialectics that take "place" in the absolutely empty spatial "field" of basho.(Here, Odin suggests that rather than drawing from Martin Buber's philosophy, both Nishida and Buber drew common inspiration from Ludwig Feuerbach's Principles of the Philosophy of the Future [Grundsatze der Philosophie der Zukunft, 1843]). The true self is therefore the no-self in the locus of absolute Nothingness. As such, the true self is also the empty self. This leads Nishida to draw analogies in his last few essays between the Buddhist idea of sunyata, or "emptiness," with the Christian notion of kenosis, or "self-emptiness." In [End Page 244] keeping with the Zen insistence against reifying emptiness, however, the true self is that which overcomes nihilism but yet resists eternalism. Buddhist sunyatais now symbolized by the bodhisattva's self-negating vow of compassion for all sentient beings, even as Christian kenosis is symbolized by Christ's self-emptying love for the world. This leads to the true self conceptualized as the intersubjective self. Odin suggests that this insight of Nishida is latent in the Chan/Zen tradition as captured in the famous Ten Oxherding Pictures. He also briefly portrays how later Kyoto school thinkers like Ueda Shizuteru, Nishitani Keiji, Abe Masao, Tanabe Hajime, and MutoKazuo have extended Nishida's insights and contributed to the Buddhist-Christian dialogue.Meanwhile, Doi Takeo, a distinguished Japanese psychiatrist, has suggested that human intrapsychic drives are not limited to sexual and aggressive instincts as hypothesized by Freud. Rather, there is an amae or dependency drive that explains the human need for love, intimacy, warmth, protection, nurturing, and so forth. This other-reliance and relational aspect of the human being explains, at least from a psychoanalytical perspective, the... (shrink)

This article introduces English translations of Tanabe’s two essays entitled “Moral Freedom” and “On Moral Freedom Revisited.” In these essays, Tanabe tries to understand the unity of the contradictory division between freedom and necessity, while remaining truthful to the moral experience. Freedom is ultimately characterized as ideality that we ought to realize in reality, while the stage of religion constitutes the ultimate end of such moral struggles. Tanabe does not clearly work out how the continuity of the freedom-necessity discontinuity is (...) possible in these essays. Nevertheless, we can gain insight into the early stages of Tanabe’s practical metaphysics that culminate in his mature works on the philosophy of religion. The translators’ introduction will highlight these points and also provide a brief description of the historical background in which the publication of these texts took place in 1917. (shrink)

This paper presents the first English translation of one of Tanabe’s early essays on Kant. Tanabe marks the occasion of the first translation of the Critique of Practical Reason into Japanese by providing his reflections on Kant’s theory of freedom in this essay. This creative essay by Tanabe represents the hallmark Kyoto School interpretation of Kant. Tanabe weaves his account of Kant with elements from other philosophers in an attempt to think systematically about the nature of freedom. He agrees with (...) Kant that morality itself “rises and falls” with the idea of freedom; however, Tanabe also tries to rescue some of the pitfalls he sees in Kant’s theory by reconstructing Kant’s account. In this brief, but rich essay, Tanabe unfolds one of the more creative aspects of his philosophy through Kant. (shrink)

The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We deal with principles which are equivalent to the statements "every mapping is sequentially nondiscontinuous", "every sequentially nondiscontinuous mapping is sequentially continuous", and "every sequentially continuous mapping is continuous". As corollaries, we show that every mapping of a complete separable space is continuous in constructive recursive mathematics (the Kreisel-Lacombe-Schoenfield-Tsejtin theorem) and in intuitionism.

The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We show that every mapping is sequentially continuous if and only if it is sequentially nondiscontinuous and strongly extensional, and that "every mapping is strongly extensional", "every sequentially nondiscontinuous mapping is sequentially continuous", and a weak version of Markov's principle are equivalent. Also, assuming a consequence of Church's thesis, we prove a version of the Kreisel-Lacombe-Shoenfield-Tsĕitin theorem.

This article introduces the first English translation of one of Tanabe’s early essays on metaphysics. It questions the relation of the universal to the particular in context of logic, phenomenology, Neo-Kantian epistemology, and classical metaphysics. Tanabe provides his reflections on the nature of the concept of universality and its constitutive relation to phenomenal particulars through critical analyses of the issue as it is discussed across various schools of philosophy including: British Empiricism, the Marburg School, the Austrian School, the Kyoto School, (...) and Platonism. In this essay, Tanabe reveals his ability to think metaphysically the ground for the possibility of reasoning and dares to voice his own thought beyond references to the most prominent thinkers of his time from distinct intellectual traditions in both the east and the west. This essay, therefore, demonstrates that his strong tendency to move beyond the received epistemology and phenomenology of the European intellectual tradition to metaphysics was already present in the early days of his academic life and thereby marks a more general contribution of the Kyoto School of Philosophy to distinct European schools of thought in the early twentieth century. (shrink)

中世から近世に移るカオスの中で人びとはどのように生き、社会の中で思想を形成していったか。本書はそこにみられる、近代が切り捨ててきた、人と人とのつながりを真摯に追求する。.

This paper offers an explanation of how collaboration leads to abstract and flexible problem solving. We asked the individual and paired subjects to indicate 3/4 of 2/3 of the area of a square sheet of paper and found that (1) they primarily folded or partitioned the paper rather than algorithmically calculating the answer, (2) they strongly tendened to backtrack and confirm their proto‐plans on externalized traces such as creases on the paper, and (3) only the paired subjects shifted to the (...) mathematical strategy in their second trials. Based on these results, we propose that two factors, individuals' activeness in choosing and confirming the initial strategies and the frequent role exchange between task‐doing and monitoring in collaborative situations, interact in collaboration to generate various solutions differing in the degree of abstraction, which are then reflected upon by the participants to lead them to abstraction. (shrink)

We extend Bishopʼs concept of function spaces to the concept of pre-function spaces. We show that there is an adjunction between the category of neighbourhood spaces and the category of Φ-closed pre-function spaces. We also show that there is an adjunction between the category of uniform spaces and the category of Ψ-closed pre-function spaces.

"Tanabe's agenda was not religious but philosophical in that he tried to integrate Eastern and Western insights in order to acquire a cross-cultural philosophical vision for the post-war world community.... This book shows his superior philosophical originality.... It is high time that Tanabe's thought should be introduced to the West."—Joseph Kitagawa, University of Chicago.

The history of the Vedanta school is well known since the time of Sankaracarya on, and its prehistory before Sankara is quite obscure. However, from the time of compilation of major Upanisads to Sankara there is a period of thousand years, and the tradition of Upanisads was not lost; there appeared many philosophers and dogmaticians, although their thoughts are not clearly known. The author has made clear the details of the pre-Sankara Vedanta philosophy, utilizing not only Sanskrit materials, but also (...) Pali, Prakrit (Jain), as well as Tibetan and Chinese sources. In this respect this is quite a unique work. For this work the author was awarded the Imperial Prize by the Academy of Japan. Some sections of this work were already published in Indian as well as European and American journals in English. This work is a complete English translation of the entire book. The English translation was done with the financial aid by the Harvard-Yenching Institute, and the final touch was given by Mr. Trevor Leggett, the British writer, who is well-versed in Sanskrit as well as in Japanese. (shrink)

1. Tōzai bunka no kōryū -- 2. Shōtoku Taishi -- 3. Kinsei Nihon no hihanteki seishin -- 4. Nihon shūkyō no kindaisei.

1. Kodai shisō -- -- 3. Chūsei shisō.

Dans son premier article, Tanabe soutient que le jugement n’est pas seulement un acte secondaire de la pensée : il est aussi l’acte par lequel l’objet est posé et sur lequel la connaissance se fonde, lorsqu’un acte d’attention se tourne vers le contenu de l’expérience pure. Dans celle-ci, objet et sujet sont encore indistincts. Ce jugement thétique fondamental diffère des autres jugements en ceci qu’en lui, il n’y a pas de décalage entre exigence et reconnaissance. Il est donc toujours affirmatif (...) et ne devient pas clairement conscient. Tanabe entend éviter ainsi l’idéalisme subjectif. (shrink)

Classically, weak König's lemma and Brouwer's fan theorem for detachable bars are equivalent. We give a direct constructive proof that the former implies the latter.

This is a lucid and rewarding book which sets a new standard for dealing with a history of thought across many cultures.

We show, within the framework of Bishop's constructive mathematics, that (sequential) completeness of the locally convex space $\mathcal{D} (\mathbb{R})$ of test functions is equivalent to the principle BD-N which holds in classical mathemtatics, Brouwer's intuitionism and Markov's constructive recursive mathematics, but does not hold in Bishop's constructivism.

We will overview the results in an informal approach to constructive reverse mathematics, that is reverse mathematics in Bishop’s constructive mathematics, especially focusing on compactness properties and continuous properties.