PPT-1 Beyond Science and Decisions: From Problem Formulation to

DoseResponse Framework Workshop Objectives Additionally develop the content of the NAS 2009 report on improving the risk assessment process to develop a compendium of practical problemdriven approaches for fit for purpose risk . “It doesn’t matter which side of the fence you get off . on . sometimes. . What . matters most is getting off. You cannot make progress without making decisions. .”. Jim . Rohn. . “Nothing is more difficult, and therefore more precious, than to be able to decide.”. Optimization methods help us find solutions to problems where we seek to find the best of something.. This lecture is about how we formulate the problem mathematically.. In this lecture we make the assumption that we have choices and that we can attach numerical values to the ‘goodness’ of each alternative.. Kukelova, Martin Bujnak, Tomas . Pajdla. The . Art of Solving Minimal Problems . Tricks: . Problem Formulation. Microsoft Research Cambridge. Czech Technical University in Prague. Capturing Reality . Given a set of real numbers, output a sequence, . (. l. 1. , … , . l. i. , … , . l. n. ). , . where . l. i. . ≤ . l. i+1. . for . i. = . 1 … n-1 .. Naive Algorithm. For index . i. =1 .. . Additional Problems. The Apex Television Company has to decide on the number of 27” and 20” sets to be produced at one of its factories. Market research indicates that at most 40 of the 27” sets and 10 of the 20” sets can be sold per month. The maximum number of work-hours available is 500 per month. A 27” set requires 20 work-hours and a 20” set requires 10 work-hours. Each 27” set sold produces a profit of $120 and each 20” set produces a profit of $80. A wholesaler has agreed to purchase all the television sets produced if the numbers do not exceed the maximum indicated by the market research. Practice Set 1. Management . is considering devoting . some excess . capacity to one or more of three products. The hours required from each resource for each unit of product, the available capacity (hours per week) of the . Optimization methods help us find solutions to problems where we seek to find the best of something.. This lecture is about how we formulate the problem mathematically.. In this lecture we make the assumption that we have choices and that we can attach numerical values to the ‘goodness’ of each alternative.. Surfaces in a Global Optimization Framework. Petter Strandmark Fredrik Kahl . Centre for Mathematical Sciences, Lund University. Length Regularization. Segmentation.  . Data. . term. Length of boundary. . boundaries . begin to blur as . movement . away. . from prototypes . occurs. .. After placing an item in a category, memory gradually shifts it toward a category . prototype. .. Concepts . help to simplify thinking through mental grouping of similar objects, events, ideas. University. Modifications by. A. Asef-Vaziri. Chapter . 6, . Part A. Distribution and Network Models. Transportation Problem. Network Representation. General LP Formulation. Assignment Problem. Network Representation. Given a set of real numbers, output a sequence, . (. l. 1. , … , . l. i. , … , . l. n. ). , . where . l. i. . ≤ . l. i 1. . for . i. = . 1 … n-1 .. Naive Algorithm. For index . i. =1 .. . Jeremy Morris. Forensic Scientist. Johnson County (KS) Sheriff’s Office. What is “bias”?. An inclination to present or hold a partial perspective at the expense of (possibly equally valid) alternatives. : . Thinking. Unit III Developmental Psychology. Introducing the “DESIGNATED UNIT…”. Marshmallow Challenge. What to . do:. Build the tallest freestanding structure:. the winning team is the one that has the tallest structure measured from the . coupled simulation of flow, mechanics and fracture. Mahshad Samnejad. Sept 14. th. - 2016. Outline. Coupled Flow, Mechanics, and fracture. Motivation. Problem Statement. Challenges. Existing Approaches.