Title
Open Problem: Lower bounds for Boosting with Hadamard Matrices.
Abstract
Boosting algorithms can be viewed as a zero-sum game. At each iteration a new column / hypothesis is chosen from a game matrix representing the entire hypotheses class. There are algorithms for which the gap between the value of the sub-matrix (the t columns chosen so far) and the value of the entire game matrix is O(\sqrt\frac\log nt). A matching lower bound has been shown for random game matrices for t up to n^αwhere α∈(0,\frac12). We conjecture that with Hadamard matrices we can build a certain game matrix for which the game value grows at the slowest possible rate for t up to a fraction of n.
Year
Venue
Field
2013
COLT
Hadamard's maximal determinant problem,Mathematical optimization,Minimax,Hadamard matrix,Upper and lower bounds,Convex combination,Matrix (mathematics),Artificial intelligence,Hadamard's inequality,Machine learning,Block matrix,Mathematics
DocType
Volume
Citations 
Conference
30
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
Jiazhong Nie1454.72
Manfred K. Warmuth261051975.48
S. V. N. Vishwanathan31991131.90
Xinhua Zhang4123.65