science, k-approximation of k-hitting set is an approximation algorithm for weighted hitting set. The input is a collection S of subsets of some universe...

case. Hitting set is an equivalent reformulation of Set Cover. Vertex cover is a special case of Hitting Set. Edge cover is a special case of Set Cover...

the geometric nature, the approximation ratios for these problems can be much better than the general set cover/hitting set problems. Moreover, these...

the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria....

Several definitions of the highway dimension exist. Each definition of the highway dimension uses a hitting set of a certain set of shortest paths: given...

polynomial time, the minimum feedback arc set can be approximated to within a polylogarithmic approximation ratio, and maximum acyclic subgraphs can be...

= k ) = ( n k ) p k ( 1 − p ) n − k {\displaystyle f(k,n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}} for k = 0, 1, 2, ..., n, where ( n k ) = n ! k !...

= k 1 , X 2 = k 2 ) = exp ⁡ ( − λ 1 − λ 2 − λ 3 ) λ 1 k 1 k 1 ! λ 2 k 2 k 2 ! ∑ k = 0 min ( k 1 , k 2 ) ( k 1 k ) ( k 2 k ) k ! ( λ 3 λ 1 λ 2 ) k {\displaystyle...

method Column generation k-approximation of k-hitting set — algorithm for specific LP problems (to find a weighted hitting set) Linear complementarity...

successive approximation: β j k + 1 = β j k + Δ β j , {\displaystyle {\beta _{j}}^{k+1}={\beta _{j}}^{k}+\Delta \beta _{j},} where a superscript k is an iteration...

approximation (i.e., which holds as m →∞). Second, of more concern, it assumes that during the membership test the event that one tested bit is set to...

generalizations of interpolation splines where the functions are determined to minimize a weighted combination of the average squared approximation error over...

result of the good approximation that an event with ⁠1/k⁠ probability will have a ⁠1/2⁠ chance of occurring at least once if it is repeated k ln 2 times...

Musco; M. Persu (2014). Dimensionality reduction for k-means clustering and low rank approximation (Appendix B). arXiv:1410.6801. Bibcode:2014arXiv1410...

Rajaraman & J. Ullman (2010). "Mining of Massive Datasets, Ch. 3". Weber, Roger; Blott, Stephen. "An Approximation-Based Data Structure for Similarity Search"...

by w k / W k {\displaystyle w_{k}/W_{k}} : A 0 = 0 A k = A k − 1 + w k W k ( x k − A k − 1 ) Q 0 = 0 Q k = Q k − 1 + w k W k − 1 W k ( x k − A k − 1 )...

y k | x k ) p ( x k | x k − 1 ) d x k p ( x k | x k − 1 ) d x k ≃ N ↑ ∞ p ( y k | x k ) ∫ p ( y k | x k ) p ^ ( d x k | x k − 1 ) p ^ ( d x k | x k −...

the case that such approximations are less accurate in the tails of the distribution. A general upper bound for the approximation error in the central...

bramble is the smallest hitting set for the family of subgraphs, and the treewidth of a graph is one less than the maximum order of a bramble. Every complete...

\{p_{i}\})>T}{\frac {n!}{k_{1}!\cdots k_{m}!}}\prod _{i=1}^{m}{p_{i}}^{k_{i}}} We will use a procedure similar to the approximation in de Moivre–Laplace theorem...

constant interval lengths: m k = 1 2 ( p k + 1 − p k x k + 1 − x k + p k − p k − 1 x k − x k − 1 ) {\displaystyle {\boldsymbol {m}}_{k}={\frac {1}{2}}\left({\frac...

given by p X ( k ) = Pr ( X = k ) = ( K k ) ( N − K n − k ) ( N n ) , {\displaystyle p_{X}(k)=\Pr(X=k)={\frac {{\binom {K}{k}}{\binom {N-K}{n-k}}}{\binom {N}{n}}}...

2 k − 1 k ) + … + ( m 1 k − ( m 1 − 1 ) k ) ) + ( 1 k + ( 2 k − 1 k ) + … + ( m 2 k − ( m 2 − 1 ) k ) ) + … + ( 1 k + ( 2 k − 1 k ) + … + ( m n k − (...

polynomial-time approximation schemes on (apex) minor-free graphs. In particular, by making use of bidimensionality, it was shown that feedback vertex set, vertex...

any set of (possibly) correlated real-valued random variables, each of which clusters around a mean value. The multivariate normal distribution of a k-dimensional...

Manoban is a better approximation of the Thai pronunciation and is the spelling recommended by the Royal Thai General System of Transcription. Thai pronunciation:...

vector k = ( k x , k y , k z ) {\displaystyle \mathbf {k} =(k_{x},k_{y},k_{z})} and define l x = k x | k | , l y = k y | k | , l z = k z | k | {\displaystyle...

about what it means to say of a person that they speak Japanese is that the person knows, at least to some approximation, how to structure linguistic...

Stochastic approximation methods are a family of iterative methods typically used for root-finding problems or for optimization problems. The recursive...

subgraph. The order of a bramble is the smallest size of a hitting set, a set of vertices of G that has a nonempty intersection with each of the subgraphs....