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Cosmological Tension? Space Administration Jet Propulsion Laboratory - PowerPoint PPT Presentation

National Aeronautics and Cosmological Tension? Space Administration Jet Propulsion Laboratory California Institute of Technology Pasadena, California DES collaboration (2017) Freedman (2017) 2 <latexit


  1. National Aeronautics and 
 Cosmological Tension? Space Administration Jet Propulsion Laboratory California Institute of Technology Pasadena, California DES collaboration (2017) Freedman (2017) � 2

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sha1_base64="dl+CJ15+r3g7KcqmA9wQhwlH4tI=">ACnicbZDLSgMxFIYzXmu9V26iRbBjWVGBN0IRbtwWdFeoFOGM5m0DU0yQ5IRytC1G1/FjQtF3PoE7nwb08tCW38IfPznHE7OHyacaeO6387C4tLympuLb+sbm1XdjZres4VYTWSMxj1QxBU84krRlmOG0mioIOW2E/etRvfFAlWaxvDeDhLYFdCXrMALGWkHh4A5f4sqJz0F2OcUVX40hyHwlcAQGhkGh6JbcsfA8eFMoqmqQeHLj2KSCioN4aB1y3MT085AGUY4Heb9VNMESB+6tGVRgqC6nY1PGeIj60S4Eyv7pMFj9/dEBkLrgQhtpwDT07O1kflfrZWazkU7YzJDZVksqiTcmxiPMoFR0xRYvjAhDF7F8x6YECYmx6eRuCN3vyPNRPS5b8m7PiuWraRw5tI8O0THy0DkqoxtURTVE0CN6Rq/ozXlyXpx352PSuBMZ/bQHzmfP4NgmYo=</latexit> National Aeronautics and 
 Surprise Space Administration Jet Propulsion Laboratory California Institute of Technology Pasadena, California • Distance metric between probability distributions • Quantifies how much the parameter constraints dx p ( x ) log p ( x ) Z D KL ( P || Q ) = change due to the data q ( x ) • Invariant to invertible transformations in x • Unwieldy when data generating p and q are S = D � h D i data correlated h D i = � 1 det Σ new (Gaussian limit) 2 det Σ old � 3

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