PPT-Hybrid computation and the Differentiable Neural Computer

Psychology 209 Winter 2017 March 7 2017 The DNC architecture Key features of the architecture Indefinite memory size Turing Accurate storage of long lists of items after a single presentation. Differentiability. A function is differentiable at point . c . if and only if. the derivative from the left of . c. equals the derivative from the right of . c. .. AND. if . c. is in the domain of . AKA “Shortcuts”. Review from 3.2. 4 places derivatives do not exist:. Corner. Cusp. Vertical tangent (where derivative is undefined). Discontinuity (jump, hole, vertical asymptote, infinite oscillation). Project Review 12 July 2013. Projects. Modelling. . dragonfly attention switching. Dendritic auditory processing. Processing images . with . spikes. Dendritic . computation with . memristors. . Computation in RATSLAM. VALUE THEOREMS. Derivability of a function :. A function . f . defined on [. a, b. ] is said to be derivable or differentiable at if exists. This limit is called derivative of . Differentiability. Local Linearity. Local linearity is the idea that if we look at any point on a smooth curve closely enough, it will look like a straight line. Thus the slope of the curve at that point is the same as the slope of the tangent line at that point. Ranjit . Kumaresan. (MIT). Based on joint works with . Iddo. . Bentov. (. Technion. ), Tal Moran (IDC), Guy . Zyskind. (MIT). x. f. . (. x,y. ). y. f. . (. x,y. ). Secure Computation. Most general problem in cryptography. Adrian Farrel. Old Dog Consulting. adrian@olddog.co.uk. History of PCE. We know where PCE comes from. Simple CSPF computation of paths for MPLS-TE. But RFC 4655 was not quite so limited in its definition. René Vidal. Center for Imaging Science. Johns Hopkins University. Recognition of individual and crowd motions. Input video. Rigid backgrounds. Dynamic backgrounds. Crowd motions. Group motions. Individual motions. 1980 . AB Free Response 3. Continuity and Differentiability of Inverses. If . f. . is continuous in its domain, then its inverse is continuous on its domain. . If . f. . is increasing on its domain, then its inverse is increasing on its domain . 1. Computation. In general, a . partial function. f on a set S. m. is a function whose domain is a subset of S. m. .. If a partial function on S. m. has the domain S. m. , then it is called . total. are . Continuous. Connecting Differentiability . and . Continuity. Differentiability and Continuity. Continuous functions . are . not necessarily differentiable. . For instance, start with . Charly Collin – . Sumanta. . Pattanaik. – Patrick . LiKamWa. Kadi Bouatouch. Painted materials. Painted materials. Painted materials. Painted materials. Our goal. Base layer. Binder thickness. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . Lingxiao Ma. . †. , Zhi Yang. . †. , Youshan Miao. ‡. , Jilong Xue. ‡. , Ming Wu. ‡. , Lidong Zhou. ‡. , . Yafei. Dai. . †. †. . Peking University. ‡ . Microsoft Research. USENIX ATC ’19, Renton, WA, USA.