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COMPGEOM
2009
ACM
14 years 4 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
COMPGEOM
2009
ACM
14 years 4 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy
COLT
2007
Springer
14 years 4 months ago
Learning Large-Alphabet and Analog Circuits with Value Injection Queries
Abstract. We consider the problem of learning an acyclic discrete circuit with n wires, fan-in bounded by k and alphabet size s using value injection queries. For the class of tran...
Dana Angluin, James Aspnes, Jiang Chen, Lev Reyzin
GECCO
2007
Springer
168views Optimization» more  GECCO 2007»
14 years 4 months ago
Stability in the self-organized evolution of networks
The modeling and analysis of large networks of autonomous agents is an important topic with applications in many different disciplines. One way of modeling the development of such...
Thomas Jansen, Madeleine Theile
COMPGEOM
2009
ACM
14 years 4 months ago
Integral estimation from point cloud in d-dimensional space: a geometric view
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
Chuanjiang Luo, Jian Sun, Yusu Wang