PPT-On Approximating the Covering Radius and Finding Dense Lattice Subspaces

Daniel Dadush Centrum Wiskunde amp Informatica CWI Outline Integer Programming and the Kannan Lov á sz Conjecture Algorithms amp Refinements for the KannanLov á. Healy ahealyfasharvardedu Abstract This paper describes a technique for 64257nding a certain types of anagrams which we call subset anagrams Speci64257cally given a list of words or phrases we look for two disjoint subsets of these words or phrases t Ravishankar. . Krishnaswamy. (joint work with Nikhil . Bansal. and . Barna. . Saha. ). Approximating Set Cover. Given . m sets, n elements. Find . minimum cost. collection of sets . to cover . Sparsification. and the Approximate Closest Vector Problem. Daniel . Dadush. Centrum . Wiskunde. . en. . Informatica. Joint work with . Gabor Kun (. Renyi. . Institute). Outline. Norms, Lattices and Lattice Problems:. Alexander Burin. Motivation: . to study cooperative dynamics of interacting spins. 2. of . 21. Three alternative models. Classical model of resonant window . E. 0. for electronic spins . due to. . nuclear spins: . : . Uncalibrated Photometric Stereo . with . Shadows. Kalyan Sunkavalli, . Harvard University. Joint work with Todd Zickler and Hanspeter Pfister. Published in the Proceedings of ECCV 2010. http://gvi.seas.harvard.edu/. Daniel . Dadush. Centrum . Wiskunde. & . Informatica. (CWI). Oded. . Regev. New York University. . A Reverse . Minkowski. . Inequality & . its conjectured Strengthening. . . Strong Reverse . Yubao. Wu. Ruoming. Jin. Xiaofeng. Zhu. Xiang Zhang. (EECS, CWRU). (CS. , . Kent State U). (EPBI, . CWRU). (EECS. , CWRU. ). Dual Biological . N. etworks. (a) protein interaction network. (b) genetic interaction network. : . Uncalibrated Photometric Stereo . with . Shadows. Kalyan Sunkavalli, . Harvard University. Joint work with Todd Zickler and Hanspeter Pfister. Published in the Proceedings of ECCV 2010. http://gvi.seas.harvard.edu/. Alex . Andoni. (Columbia University). MADALGO Summer School on Streaming Algorithms 2015. Time-Space Trade-offs (Euclidean). [AI’06]. [AI’06]. [KOR’98, IM’98, Pan’06]. [KOR’98, IM’98, Pan’06]. Now, starting from an explicit description of a subspace, we would like to compute an explicit basis. . We can’t write a basis by inspection, and a systematic procedure is necessary. . 2.4 The Four Fundamental Subspaces. h. ashing. Announcements & Plan. PS3:. Released tonight, due next Fri 7pm. Class projects: think of teams!. I’m away until Wed. Office hours on Thu after class. Kevin will teach on Tue. Evaluation on . Daniel Dadush. Centrum . Wiskunde. & . Informatica. (CWI). Outline. . Integer Programming and . the Kannan-. Lov. á. sz. Conjecture.. . Algorithms & Refinements for the . Kannan-Lov. á. Daniel . Dadush. Centrum . Wiskunde. & . Informatica. (CWI). Oded. . Regev. New York University. . A Reverse . Minkowski. . Inequality & . its conjectured Strengthening. . . Strong Reverse . Michael. Tian. Koya. Ionic Bonding. Definition: . The complete transfer of valence electron(s) between atoms. It’s a type of chemical bond that creates two oppositely charged ions. Typically an ionic bond happens between a metal and a non-metal, where the metal loses electrons to the non-metal, resulting in a cation and a anion..