diam(H)可以认为是常数。 其实和generalization的关系都是我瞎推的,我其实还没看真的covering number generalization bound是不是这样的。其实现在的generalization bound还没成型!注意到,在bound里并没有体现 error随着n增加而减小,也就是没有类似1/n,1/sqrt(n)这样的项。我认为想要弄出1/n,肯定是从K里面出来的...
We also show that the result is a generalization of Mader’s Theorem, which bounds the number of edges in any edge-minimal k-connected graph. 1 Introduction Let G = (V,E) be a complete n-vertex graph...M.X. Goemans, J. Vondrak, Covering minimum spanning trees of random subgraphs, ...
A minimum-link covering path for S is one with the smallest number of segments (links). A point set is said to be in general position if no three points are collinear. We study the following two questions concerning covering paths posed by Morić [20, 21] as a generalization of the ...
In addition to this, the "b" and "l∗" columns refer, respectively, to the number of balls and the maximum number of bits used by the final classifier. We observe that SCMs are always much sparser than SVMs with roughly the same generalization error. Moreover, the risk bound is ...
At the same time, since the construction of optimal CAs is a difficult optimization problem for the general case [1], the exact values for CAN only exist for a very limited number of instances, while only best known lower and upper bounds on CAN exist for the majority of CA instances. ...
column.Let CANðt;k;vÞ denote the minimum number N such that a CAðN;t;k;vÞ exists,i.e.,CANðt;k;vÞ ¼ minfN : 9 CAðN;t;k;vÞg:Then CANðt;k;vÞ is called the covering array number.Covering arrays can be viewed as a generalization of orthogonal ...
Saurabh, Quadratic upper bounds on the Erd's-Psa property for a generalization of packing and covering cycles, J. Graph Theory, 74 (2013) 417-424.Fedor V. Fomin, Daniel Lokshtanov, Neeldhara Misra, Geevarghese Philip, and Saket Saurabh. Quadratic upper bounds on the erdo˝s-po´sa ...
In this thesis, we find good bounds on the size of an optimal binary covering array on a graph. In addition, we determine both the chromatic number and a core of the binary qualitative independence graphs. Since the rows of general covering arrays correspond to set partitions, we give ...
In this paper, we study covering arrays avoiding forbidden edges ( C A F E s), where certain pairwise interactions are forbidden while all others must be covered, and we aim to minimize the number of tests. We establish a theoretical framework for this problem, by providing connections to ...
In this thesis, we find good bounds on the size of an optimal binary covering array on a graph. In addition, we determine both the chromatic number and a core of the binary qualitative independence graphs. Since the rows of general covering arrays correspond to set partitions, we give ...