PPT-Approximation Schemes for a Unit-Demand Buyer with Independent Items via Symmetries

Pravesh Kothari Divyarthi Mohan Ariel Schvartzman Sahil Singla S Matthew Weinberg FOCS 2019 How to Maximize Revenue Selling a Single Item   v v x Truthful Mechanism. HOCHBAUM AND WOLFGANG MAASS University of California Berkeley California Abstract A unified and powerful approach is presented for devising polynomial approximation schemes for many strongly NPcomplete problems Such schemes consist of families of ap Raymond Flood. Gresham Professor of Geometry. Overview. Group of Symmetries of the equilateral triangle. Compare the group of symmetries of a square and a rectangle. Symmetries of the platonic solids. Ankush Sharma . A0079739H. Xiao Liu . A0060004E. Tarek Ben Youssef A0093229. Reference. Terminologies – TSP & PTAS (Polynomial Time Approximation Schemes). Algorithm – A PTAS for Euclidian TSP (2D). models of gravity. Rabin Banerjee. *,. . 1. , . Debraj Roy. *, 2. 1. rabin@bose.res.in, . 2. debraj@bose.res.in. *. S. N. Bose National Centre. for Basic Sciences,. . Kolkata, India.. . Overview of the problem.  . Given a stream . , where . , count the number of distinct items (so we are in the cash register model). Example: 3 5 7 4 3 4 3 4 7 5 9. 5 distinct elements: 3 4 5 7 9 (we only want the count of distinct elements, and not the set of distinct elements). Thank you, Emmy. 1. Symmetries and Conservation Laws. An example of conservation. Suppose we have the system . The equations of motion are. So.  . Symmetries and Conservation Laws. 2. What just happened?. 1. Tsvi. . Kopelowitz. Knapsack. Given: a set S of n objects with weights and values, and a weight bound:. w. 1. , w. 2. , …, w. n. , B (weights, weight bound).. v. 1. , v. 2. , …, v. n. (values - profit).. Your Name here… . The Problem. Every seller has under-monetized inventory. Demand for every impression exists in disparate systems. Fragmented landscape causes sub-optimal inventory allocation between demand sources. Algorithms. and Networks 2014/2015. Hans L. . Bodlaender. Johan M. M. van Rooij. C-approximation. Optimization problem: output has a value that we want to . maximize . or . minimize. An algorithm A is an . Pierre-Hugues Beauchemin. PHY 006 –. Talloire. , May 2013. Symmetries in nature. Many objects in nature presents a high level of symmetry, indicating that the forces that produced these objects feature the same symmetries. What do beanie babies and tulips have in common? (Think like an economist). Agenda. . 1. ) . Go over HW. 2. ) Going over changes in the demand curve. 3. ) . Non-price determinants of . Demand. 4) Answering the Economic Puzzle. Problem. Yan Lu. 2011-04-26. Klaus Jansen SODA 2009. CPSC669 Term Project—Paper Reading. 1. Problem Definition. 2. Approximation Scheme. 2.1 Instances with similar capacities. 2.2 General cases . Outline. This government-backed mortgage guarantee scheme aims to support first time buyers with a 5% down payment in purchasing a home. Sahil . singla. . Princeton .  Georgia Tech. Joint with . danny. . Segev. . (. Tel Aviv University). June 27. th. , 2021. Given a . Finite. . Universe : . Given an . Objective.