Midterm Solutions CSE 525 , Winter 2015

Lecture 7 - 8 : Martingales and Azuma ’ s inequality CSE 525 , Winter 2015

We have seen that if X X1 + · · · + Xn is a sum of independent {0, 1} random variables, then X is tightly concentrated around its expected value …[X]. The fact that the random variables were {0, 1}-valued was not essential; similar concentration results hold if we simply assume that they are in some bounded range [−L, L]. One can also relax the independence assumption, as we will see next. Cons...

Midterm Examination Solutions for Ma 108b Winter

By Theorem 2.1 the product φ1φ2 is of bounded variation and by Theorem 2.24 all three Riemann–Stieltjes integrals involved exist as the limit of Riemann–Stieltjes sums as |Γ| → 0. In particular we can find a δ1 > 0 such that ∣∣∣∣∫ b a fφ2 dφ1 −RΓ(fφ2, φ1) ∣∣∣∣ < ε , ∣∣∣∣∫ b a fφ1 dφ2 −RΓ(fφ1, φ2) ∣∣∣∣ < ε for all partitions with |Γ| < δ1. Let Γ = {xi}i=0 be any partition of [a, b] with intermed...

CS 462 - Senior Capstone Winter 2018 Midterm Progress Report

This document reviews the previous six weeks of work done on the Smarter Thunder Lamp. This includes not only a breakdown of problems and solutions the team encountered, but a detailed account of what each group member has worked on so far. The project is broken down into three sections. Each of these sections discusses the progress that has been made during the development that has been execut...

CSE 202 Algorithms and Data Structures , Winter , 2014

CSE 190A Project Proposal: 3D Photography

This paper presents a research proposal for CSE 190A: Projects in Vision and Learning, Winter 2007, on the subject of 3D photography. It addresses the objectives, datasets, milestones, and student qualifications for the project.