Universal Parametric Correlations of Eigenfunctions in Chaotic and Disordered Systems

This paper establishes the universality of parametric correlations of eigenfunctions in chaotic and weakly disordered systems. We demonstrate this universality in the framework of the gaussian random matrix process and obtain predictions for a number of parametric correlators, one of them analytically. We present numerical evidence from different models that verifies our predictions.Comment: 11 pages, RevTeX, 2 uuencoded Postscript figure

Improved Generalization Bounds for Robust Learning

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a robust classifier that would be tested on future adversarial examples. We use a zero-sum game between the learner and the adversary as our game theoretic framework. The adversary is limited to $k$ possible corruptions for each input. Our model is closely related to the adversarial examples model of Schmidt et al. (2018); Madry et al. (2017). Our main results consist of generalization bounds for the binary and multi-class classification, as well as the real-valued case (regression). For the binary classification setting, we both tighten the generalization bound of Feige, Mansour, and Schapire (2015), and also are able to handle an infinite hypothesis class $H$. The sample complexity is improved from $O(\frac{1}{\epsilon^4}\log(\frac{|H|}{\delta}))$ to $O(\frac{1}{\epsilon^2}(k\log(k)VC(H)+\log\frac{1}{\delta}))$. Additionally, we extend the algorithm and generalization bound from the binary to the multiclass and real-valued cases. Along the way, we obtain results on fat-shattering dimension and Rademacher complexity of $k$-fold maxima over function classes; these may be of independent interest. For binary classification, the algorithm of Feige et al. (2015) uses a regret minimization algorithm and an ERM oracle as a blackbox; we adapt it for the multi-class and regression settings. The algorithm provides us with near-optimal policies for the players on a given training sample.Comment: Appearing at the 30th International Conference on Algorithmic Learning Theory (ALT 2019

Do Parents Help More their Less Well-Off Children? Evidence from a Sample of Migrants to France

Through an investigation of parental motives, this paper examines how parents decide on the allocation of their resources within the family when there are several offspring. From a theoretical viewpoint, inter vivos transfers may be explained either by altruism or by an exchange motive. Though unequal sharing is expected under both hypotheses, under altruism parents should direct their assistance to less well off children. Analogously, under an exchange motive we expect support to be channeled to children who live nearby their parents. We assess the relevance of the two transfer motives using the PRI survey, conducted in 2003, on a sample of immigrants living in France. Unequal sharing is frequently observed, and children are more likely to receive financial transfers when they are in poor circumstance, but not necessarily when living in proximity to parents. This is the case even after controlling for unobserved heterogeneity with fixed effects models. We also emphasize the role of cultural factors, especially religion, as determinants of the parental allocation among children.altruism, exchange, inter-vivos transfers, intrahousehold allocation, unequal sharing, cultural effects

East Asian Studies Center's Arts Initiative

IMPACT. 1: 800+ students at Columbus Preparatory Academy were given a presentation by artist Migiwa Orimo, introducing students to a working installation artist and contextualizing common cultural elements of Japan. For four weeks, they participated in a series of Japanese-themed art lessons and produced their own Japanese inspired artifacts. After, Orimo completed a separate installation at the school using the artifacts made by the students. Students were witness to the artist's process in assembling the materials and transforming the school's lobby into a gateway to Japanese culture.OSU PARTNERS: East Asian Studies Center; Office of International Affairs & the College of Arts and SciencesCOMMUNITY PARTNERS: Ohio Arts Council, Greater Columbus Arts Council (Franklin County Neighborhood, Arts Program), Columbus Preparatory Academy, Upper Arlington Concourse Gallery and artist Migiwa Orimo.PRIMARY CONTACT: Michelle Attias-Goldstein ([email protected])In Autumn 2012, EASC's arts initiative continued with a large-scale project which brought renowned Japanese artist Migiwa Orimo to Columbus to work on Japanthemed art projects with school children and to share her work with the larger community through an exhibition at a municipal building. EASC Program Manager Michelle Attias-Goldstein led the project which secured external funding from both the Greater Columbus Arts Council and the Ohio Arts Council. EASC selected a local charter school, Columbus Preparatory Academy, as its partner school and worked closely with Orimo and art teacher Kristen Pyshora to design the Japan-themed program for the 800+ students. Programming began with elementary school and middle school assemblies at which Orimo presented on her work as an installation artist while contextualizing it through introductions of elements of Japanese culture, such as traditional festivals and the connection with nature. Students then spent the next three weeks working on Japan-themed projects in art class, such as writing their name in Japanese, origami, kirigami, fans, kimono patterns, haiku, brush painting, wish boards, and more. Orimo then returned to the school and used the student projects to construct a large installation in a hallway off of the school lobby. The space was transformed into a personal, refl ective space containing the collective contributions of the entire school

East Asian Studies Center's Arts Initiative

IMPACT. 1: 800+ students at Columbus Preparatory Academy were given a presentation by artist Migiwa Orimo, introducing students to a working installation artist and contextualizing common cultural elements of Japan. For four weeks, they participated in a series of Japanese-themed art lessons and produced their own Japanese inspired artifacts. After, Orimo completed a separate installation at the school using the artifacts made by the students. Students were witness to the artist's process in assembling the materials and transforming the school's lobby into a gateway to Japanese culture.OSU PARTNERS: East Asian Studies Center; Office of International Affairs & the College of Arts and SciencesCOMMUNITY PARTNERS: Ohio Arts Council, Greater Columbus Arts Council (Franklin County Neighborhood, Arts Program), Columbus Preparatory Academy, Upper Arlington Concourse Gallery and artist Migiwa Orimo.PRIMARY CONTACT: Michelle Attias-Goldstein ([email protected])In Autumn 2012, EASC's arts initiative continued with a large-scale project which brought renowned Japanese artist Migiwa Orimo to Columbus to work on Japanthemed art projects with school children and to share her work with the larger community through an exhibition at a municipal building. EASC Program Manager Michelle Attias-Goldstein led the project which secured external funding from both the Greater Columbus Arts Council and the Ohio Arts Council. EASC selected a local charter school, Columbus Preparatory Academy, as its partner school and worked closely with Orimo and art teacher Kristen Pyshora to design the Japan-themed program for the 800+ students. Programming began with elementary school and middle school assemblies at which Orimo presented on her work as an installation artist while contextualizing it through introductions of elements of Japanese culture, such as traditional festivals and the connection with nature. Students then spent the next three weeks working on Japan-themed projects in art class, such as writing their name in Japanese, origami, kirigami, fans, kimono patterns, haiku, brush painting, wish boards, and more. Orimo then returned to the school and used the student projects to construct a large installation in a hallway off of the school lobby. The space was transformed into a personal, refl ective space containing the collective contributions of the entire school