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8 papers · 1 filter
Knot projections with a single multi-crossing
Colin Adams, Thomas Crawford, Benjamin DeMeo +6
Introduced recently, an n-crossing is a singular point in a projection of a link at which n strands cross such that each strand travels straight through the crossing. We introduce…
Batch Active Learning via Coordinated Matching
Javad Azimi, Alan Fern, Xiaoli Zhang-Fern +2
Most prior work on active learning of classifiers has focused on sequentially selecting one unlabeled example at a time to be labeled in order to reduce the overall labeling effort…
Feature Selection via Probabilistic Outputs
Andrea Danyluk, Nicholas Arnosti
This paper investigates two feature-scoring criteria that make use of estimated class probabilities: one method proposed by \citet{shen} and a complementary approach proposed below…
Stick index of knots and links in the cubic lattice
Colin Adams, Michelle Chu, Thomas Crawford +2
The cubic lattice stick index of a knot type is the least number of sticks necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice sti…
Duality properties of indicatrices of knots
Colin Adams, Dan Collins, Katherine Hawkins +3
The bridge index and superbridge index of a knot are important invariants in knot theory. We define the bridge map of a knot conformation, which is closely related to these two inv…
The Isoperimetric Problem in Higher Codimension
Frank Morgan, Isabel M. C. Salavessa
We consider three generalizations of the isoperimetric problem to higher codimension and provide results on equilibrium, stability, and minimization.