PPT-c ausal inference: an introduction and some results

Alex Dimakis UT Austin j oint work with Murat Kocaoglu Karthik Shanmugam Sriram Vishwanath Babak Hassibi Overview Discovering causal directions Part 1 Interventions. Presented By: Ms. . Seawright. What does it mean to make an inference?. Make an inference.. Use what you already know.. The inference equation. WHAT I READ. Use quotes from the text and not page number for future references. The truth, the whole truth, and nothing but the truth.. What is inference?. What you know + what you read = inference. Uses facts, logic, or reasoning to come to an assumption or conclusion. Asks: “What conclusions can you draw based on what is happening . Rahul Sharma and Alex Aiken (Stanford University). 1. Randomized Search. x. = . i. ;. y = j;. while . y!=0 . do. . x = x-1;. . y = y-1;. if( . i. ==j ). assert x==0. No!. Yes!.  . 2. Invariants. . CRF Inference Problem. CRF over variables: . CRF distribution:. MAP inference:. MPM (maximum posterior . marginals. ) inference:. Other notation. Unnormalized. distribution. Variational. distribution. Protocols for Coreference Resolution. . . Kai-Wei Chang, Rajhans Samdani. , . Alla Rozovskaya, Nick Rizzolo, Mark Sammons. , and Dan Roth. . Chapter 14 . The pinhole camera. Structure. Pinhole camera model. Three geometric problems. Homogeneous coordinates. Solving the problems. Exterior orientation problem. Camera calibration. 3D reconstruction. Sergio Pissanetzky. Sergio@SciControls.com. Emergent Inference. Any system. VISION. ROBOT. SOFTWARE. your mom. grab. an. object. computer. program. eyes. cameras,. sensors. translation. 100,000,000. Susan Athey, Stanford GSB. Based on joint work with Guido Imbens, Stefan Wager. References outside CS literature. Imbens and Rubin Causal Inference book (2015): synthesis of literature prior to big data/ML. Slide #. 1. 1-sample Z-test. H. o. :. . m. = . m. o. (where . m. o. = specific value). Statistic:. Test Statistic:. . Assume. :. . s. is known. n is “large” (. so . sampling distribution is Normal. Warm up. Share your picture with the people at your table group.. Make sure you have your Science notebook, agenda and a sharpened pencil. use tape to put it in front of your table of contents. Describe the difference between observations and inferences. 1. Based on. “Inference . to the Best Explanation: The General . Account”. “Inference . to the Best Explanation: . Examples”. Chapters 8 and 9 in. John D. Norton, . The Material Theory of Induction.. Thesis defense . 4/5/2012. Jaesik Choi. Thesis Committee: . Assoc. Prof. Eyal Amir (Chair, Director of research). Prof. Dan Roth. . Prof. Steven M. Lavalle. Prof. David Poole (University of British Columbia). Alex . Dimakis. UT Austin. j. oint work with . Murat . Kocaoglu. , . Karthik. . Shanmugam. Sriram. . Vishwanath. , . Babak. . Hassibi. Overview. Discovering causal directions . Part 1: . Interventions. Adapted from Patrick J. Hurley, . A Concise Introduction to Logic. (Belmont: Thomson Wadsworth, 2008).. Predicate Logic. Before I go on to explain quantifiers, first let me address different ways of symbolizing statements. Previously, we used one letter to symbolize one statement. But there is another way to symbolize certain kinds of statements that are relevant to quantifiers. We can also symbolize statements by symbolizing the predicate and subject separately. .