Research Reports on Mathematical and Computing Sciences Department of Mathematical and Computing Sciences Tokyo Institute of Technology

نویسنده

  • Osamu Watanabe
چکیده

A new notion of relativization—stringent relativization—has been proposed recently [CW06] for discussing collapsing relations of complexity classes, with which we hope to open a new approach for studying complexity classes. Starting with the motivation of this notion, we discuss the meaning and implication of collapsing relations under the stringent relativization.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

on Mathematical and Computing Sciences : TR - C 195 title : An Error Bound for the Pseudo Expectation : 1 D Case

title: An Error Bound for the Pseudo Expectation: 1D Case author: Osamu Watanabe and Johannes Schneider affiliation: Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology W8-25, Tokyo 152-8552 email: [email protected] acknowledgments to financial supports: Supported in part by a Grant-in-Aid for Scientific Research on Priority Areas “Statical-Mechanical Approach to ...

متن کامل

Multiscale Bootstrap Analysis of Gene Networks Based on Bayesian Networks and Nonparametric Regression

[email protected] 1 Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro, Tokyo 152-8552, Japan 2 Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan 3 Guraduate School of Genetic Resources Technology, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan

متن کامل

The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions

In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

متن کامل

On Hochbaum’s Scaling Algorithm for the General Resource Allocation Problem

We point out that the polynomial-time scaling algorithm by Hochbaum (1994) does not work correctly for the general resource allocation problem. We discuss the reason for the failure by certain examples, and modify the algorithm so that it works correctly. Satoko MORIGUCHI: Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, 152-8552, Japan, Satoko.Moriguchi@...

متن کامل

title : On the Influence of Outliers in the Support Vector Machine Framework

title: On the Influence of Outliers in the Support Vector Machine Framework author: Yang Dai, Junichi Tanaka, and Osamu Watanabe affiliation: 1. Dept. of Bioengineering (MC063), Univ. Illionis at Chicago 851 S. Morgan Str, Chicago, IL 60607-7052, USA 2. Dept. of Industrial Engineering, Tokyo Institute of Technology Meguro-ku Ookayama, Tokyo 152-8552, Japan 3. Dept. of Mathematical and Computing...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006