PPT-Locally Testable Codes and Expanders

Tali Kaufman Joint work with Irit Dinur Codes as CSPs A constraint satisfaction problem CSP is a sequence of constraints over variables f 1 x 1 x 2 x 5 f 2 x 5 x 1 x. Christopher H. . Crane. , M.D.. Professor. Program Director and Section Chief, Gastrointestinal Section. Department of Radiation . Oncology. No Disclosures. Why is pancreatic cancer a bad disease?. Sergey Yekhanin. Microsoft Research. Data storage. Store data reliably. Keep it readily available for users. Data storage: Replication. Store data reliably. Keep it readily available for users. Very large overhead. Tali Kaufman. Joint work with Irit Dinur. Codes as CSPs . A constraint satisfaction problem (CSP) is a sequence of constraints over variables:. f. 1 . (x. 1. ,x. 2. ,x. 5. ), f. 2 . (x. 5. ,x. 1. ,x. and . Caylay. Graphs. Parikshit. . Gopalan. . (MSR-SVC). Salil. . Vadhan. (Harvard). Yuan Zhou (CMU). Locally Testable Codes. Local tester for an [n, k, d]. 2. linear code . C. Queries few coordinates . Rules for Creating Them!. A good scientist asks many questions; however, only those questions that are testable using science experiments are useful to a scientist. . Read . the following questions and decide if they are testable. . Testable Question. ©2015 Sequoia Science Education, . info@sequoiascience.com. . Sometimes scientists just like to explore…. ©2015 Sequoia Science Education . Testable Question. Look at the cool bones I found inside an owl pellet!. Science Fair Preparation. Testable Question . A question that asks how one change (independent variable) has a measureable effect on something else (dependent variable). . Testable Question . Does changing the height of the ramp affect the speed of a car going down the ramp?. and . Caylay. Graphs. Parikshit. . Gopalan. . (MSR-SVC). Salil. . Vadhan. (Harvard). Yuan Zhou (CMU). Locally Testable Codes. Local tester for an [n, k, d]. 2. linear code . C. Queries few coordinates . Think – Pair – Share . What does “. testable question. ” mean to . your students?. Science project/concept Question. Testable Question. Answered by doing reading.. Measureable or answered with data.. . What is a testable question?. A testable question is one that can be answered by designing and conducting an experiment. . Example of testable question. Will adding coffee grounds to the soil around my rose bush make it grow taller? . It’s all about the cause & effect!. After all…scientists try to discover patterns in nature!. What is a “. T. estable . Q. uestion. ?”. Note card. A testable question is one that can be answered by designing and conducting an experiment. Researchable Question. The answer can be found in a book, magazine, or the internet. You do not have to do a test or experiment to find the answer. “I wonder ______________ ?”. Researchable Questions Examples. Caylay. Graphs. Parikshit. . Gopalan. . (MSR-SVC). Salil. . Vadhan. (Harvard). Yuan Zhou (CMU). Locally Testable Codes. Local tester for an [n, k, d]. 2. linear code . C. Queries few coordinates . Tamara Helfer 2012 Sequoia Science ExplorationsSometimes scientists just like to exploreExploring or making observations often makes scientists curious about specific questionsTo answer these question