臨床ビッグデータに基づくオランザピン誘発脂質異常症に対するビタミンDの予防作用の解明

京都大学新制・課程博士博士(薬科学)甲第24551号薬科博第168号新制||薬科||18(附属図書館)京都大学大学院薬学研究科薬科学専攻(主査)教授 金子 周司, 教授 竹島 浩, 教授 上杉 志成学位規則第4条第1項該当Doctor of Pharmaceutical SciencesKyoto UniversityDFA

Double Oracle Algorithm for Game-Theoretic Robot Allocation on Graphs

We study the problem of game-theoretic robot allocation where two players strategically allocate robots to compete for multiple sites of interest. Robots possess offensive or defensive capabilities to interfere and weaken their opponents to take over a competing site. This problem belongs to the conventional Colonel Blotto Game. Considering the robots' heterogeneous capabilities and environmental factors, we generalize the conventional Blotto game by incorporating heterogeneous robot types and graph constraints that capture the robot transitions between sites. Then we employ the Double Oracle Algorithm (DOA) to solve for the Nash equilibrium of the generalized Blotto game. Particularly, for cyclic-dominance-heterogeneous (CDH) robots that inhibit each other, we define a new transformation rule between any two robot types. Building on the transformation, we design a novel utility function to measure the game's outcome quantitatively. Moreover, we rigorously prove the correctness of the designed utility function. Finally, we conduct extensive simulations to demonstrate the effectiveness of DOA on computing Nash equilibrium for homogeneous, linear heterogeneous, and CDH robot allocation on graphs

Stochastic Nonsmooth Convex Optimization with Heavy-Tailed Noises

Recently, several studies consider the stochastic optimization problem but in a heavy-tailed noise regime, i.e., the difference between the stochastic gradient and the true gradient is assumed to have a finite $p$-th moment (say being upper bounded by $\sigma^{p}$ for some $\sigma\geq0$) where $p\in(1,2]$, which not only generalizes the traditional finite variance assumption ($p=2$) but also has been observed in practice for several different tasks. Under this challenging assumption, lots of new progress has been made for either convex or nonconvex problems, however, most of which only consider smooth objectives. In contrast, people have not fully explored and well understood this problem when functions are nonsmooth. This paper aims to fill this crucial gap by providing a comprehensive analysis of stochastic nonsmooth convex optimization with heavy-tailed noises. We revisit a simple clipping-based algorithm, whereas, which is only proved to converge in expectation but under the additional strong convexity assumption. Under appropriate choices of parameters, for both convex and strongly convex functions, we not only establish the first high-probability rates but also give refined in-expectation bounds compared with existing works. Remarkably, all of our results are optimal (or nearly optimal up to logarithmic factors) with respect to the time horizon $T$ even when $T$ is unknown in advance. Additionally, we show how to make the algorithm parameter-free with respect to $\sigma$, in other words, the algorithm can still guarantee convergence without any prior knowledge of $\sigma$

A Contradiction to the Law of Energy Conservation by Waves Interference in Symmetric/Asymmetric mode

It can be agreed that the linear superposition and energy conservation are two independent physics laws in general. The former allows the energy to be re-distributed over space and the latter restricts the energy in the total amount. However, Levine shows the contradiction of the two laws mentioned above by creating a cleaver model that demonstrates the energy "doubling"- and "missing" phenomenon with the constrictive- and destructive interference at every point of whole space, respectively. While, he presented a wrong explanation by using one of the radiating sources to compare with an isolated source by the compensation of the impedance, where the mistake is simply analyzed in this paper. By setting up a spatial symmetric- and asymmetric-mode, we work upon Poynting theorem from the sources to the waves with the considerations of the superposition. The theoretical results reveal the invalidity of the energy conservation. Moreover, the experiments performed in the microwave anechoic chamber confirm the theoretical conclusion