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SMA
2006
ACM
101views Solid Modeling» more  SMA 2006»
15 years 10 months ago
A higher dimensional formulation for robust and interactive distance queries
We present an efficient and robust algorithm for computing the minimum distance between a point and freeform curve or surface by lifting the problem into a higher dimension. This...
Joon-Kyung Seong, David E. Johnson, Elaine Cohen
132
Voted
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
16 years 1 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
148
Voted
ECCC
2006
107views more  ECCC 2006»
15 years 4 months ago
Energy Complexity and Entropy of Threshold Circuits
Abstract. Circuits composed of threshold gates (McCulloch-Pitts neurons, or perceptrons) are simplified models of neural circuits with the advantage that they are theoretically mor...
Wolfgang Maass, Kei Uchizawa, Rodney J. Douglas
SIAMCOMP
1998
86views more  SIAMCOMP 1998»
15 years 4 months ago
Exact Learning of Discretized Geometric Concepts
We first present an algorithm that uses membership and equivalence queries to exactly identify a discretized geometric concept defined by the union of m axis-parallel boxes in d-...
Nader H. Bshouty, Paul W. Goldberg, Sally A. Goldm...
133
Voted
COMPUTING
2004
172views more  COMPUTING 2004»
15 years 4 months ago
The Convex Hull of Freeform Surfaces
We present an algorithm for computing the convex hull of freeform rational surfaces. The convex hull problem is reformulated as one of finding the zero-sets of polynomial equation...
Joon-Kyung Seong, Gershon Elber, John K. Johnstone...