• 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...
    5 KB (809 words) - 07:37, 7 August 2024
  • Thumbnail for Set cover problem
    problem is equivalent to the hitting set problem. A subset H {\displaystyle H} of U {\displaystyle U} is called a hitting set when H ∩ S j ≠ ∅ {\displaystyle...
    21 KB (3,011 words) - 15:31, 10 June 2025
  • the geometric nature, the approximation ratios for these problems can be much better than the general set cover/hitting set problems. Moreover, these...
    6 KB (854 words) - 14:05, 3 September 2021
  • Thumbnail for Binomial distribution
    = 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 !...
    53 KB (7,554 words) - 03:55, 26 May 2025
  • 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...
    90 KB (10,788 words) - 04:12, 30 June 2025
  • Thumbnail for Least squares
    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...
    36 KB (5,243 words) - 23:15, 19 June 2025
  • Thumbnail for Poisson distribution
    = 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...
    81 KB (11,215 words) - 08:39, 14 May 2025
  • Thumbnail for Birthday problem
    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...
    53 KB (7,115 words) - 14:30, 27 June 2025
  • method Column generation k-approximation of k-hitting set — algorithm for specific LP problems (to find a weighted hitting set) Linear complementarity...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • Thumbnail for Feedback arc set
    polynomial time, the minimum feedback arc set can be approximated to within a polylogarithmic approximation ratio, and maximum acyclic subgraphs can be...
    54 KB (6,116 words) - 02:17, 25 June 2025
  • Thumbnail for Diophantine approximation
    the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria....
    30 KB (4,072 words) - 21:09, 22 May 2025
  • 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...
    25 KB (2,572 words) - 05:48, 28 June 2025
  • 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 −...
    95 KB (16,934 words) - 15:13, 4 June 2025
  • 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...
    42 KB (4,569 words) - 23:52, 13 March 2025
  • Thumbnail for Normal distribution
    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...
    148 KB (21,531 words) - 03:40, 1 July 2025
  • Thumbnail for Monte Carlo method
    final result, the approximation of π. There are two important considerations: If the points are not uniformly distributed, the approximation will be poor....
    91 KB (10,690 words) - 23:18, 29 April 2025
  • general one. Each definition of the highway dimension uses a hitting set of a certain set of (approximate) shortest paths: given a graph G = ( V , E ) {\displaystyle...
    22 KB (3,144 words) - 23:51, 2 June 2025
  • Thumbnail for Standard deviation
    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 )...
    59 KB (8,235 words) - 23:08, 17 June 2025
  • Thumbnail for Lisa (rapper)
    Manoban is a better approximation of the Thai pronunciation and is the spelling recommended by the Royal Thai General System of Transcription. Thai pronunciation:...
    111 KB (8,833 words) - 02:02, 3 July 2025
  • Thumbnail for Principal component analysis
    best rank‑k approximation to P in the least‑squares (Frobenius‑norm) sense is P k = U k Σ k V k T {\displaystyle P_{k}=U_{k}\,\Sigma _{k}\,V_{k}^{T}} ,...
    117 KB (14,851 words) - 03:05, 30 June 2025
  • Thumbnail for Central limit theorem
    Normal approximation by Stein's method. Springer. ISBN 978-3-642-15006-7. Artstein, S.; Ball, K.; Barthe, F.; Naor, A. (2004). "Solution of Shannon's...
    67 KB (9,202 words) - 03:48, 9 June 2025
  • Thumbnail for Hypergeometric distribution
    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}}}...
    29 KB (4,095 words) - 17:58, 13 May 2025
  • Thumbnail for Chi-squared test
    X′2 as also distributed as χ2 distribution with k − 1 degrees of freedom, the error in this approximation would not affect practical decisions. This conclusion...
    22 KB (2,432 words) - 16:59, 17 March 2025
  • implemented in the critical path of computer systems, such as operating systems, due to its high overhead; Clock, an approximation of LRU, is commonly used instead...
    38 KB (4,883 words) - 21:33, 6 June 2025
  • Stochastic approximation methods are a family of iterative methods typically used for root-finding problems or for optimization problems. The recursive...
    28 KB (4,388 words) - 08:32, 27 January 2025
  • Thumbnail for Spline (mathematics)
    generalizations of interpolation splines where the functions are determined to minimize a weighted combination of the average squared approximation error over...
    23 KB (3,784 words) - 15:28, 1 July 2025
  • Thumbnail for Kolmogorov–Smirnov test
    as the Kolmogorov theorem. The accuracy of this limit as an approximation to the exact CDF of K {\displaystyle K} when n {\displaystyle n} is finite is...
    31 KB (3,909 words) - 09:43, 9 May 2025
  • Thumbnail for Cross-validation (statistics)
    do not compute all ways of splitting the original sample. These methods are approximations of leave-p-out cross-validation. In k-fold cross-validation,...
    44 KB (5,781 words) - 09:14, 19 February 2025
  • Rajaraman & J. Ullman (2010). "Mining of Massive Datasets, Ch. 3". Weber, Roger; Blott, Stephen. "An Approximation-Based Data Structure for Similarity Search"...
    27 KB (3,341 words) - 05:28, 22 June 2025
  • can be assessed because we know Ĵ. If Ĵ is a reasonable approximation to J, then the quality of inference on J can in turn be inferred. As an example,...
    69 KB (9,407 words) - 17:54, 23 May 2025