The median trick is a generic approach that increases the chances of a probabilistic algorithm to succeed.[1] Apparently first used in 1986[2] by Jerrum et al.[3] for approximate counting algorithms, the technique was later applied to a broad selection of classification and regression problems.[2]
The idea of median trick is very simple: run the randomized algorithm with numeric output multiple times, and use the median of the obtained results as a final answer. For example, for sublinear in time algorithms the same algorithm can be run repeatedly (or in parallel) over random subsets of input data, and, per Chernoff inequality, the median of the results will converge to solution very fast.[4] For the algorithms that are sublinear in space (e.g., counting the distinct elements of a stream), different randomizations of the algorithm (say, with different hash functions) should be used for repeated runs over the same data.[5]
^Kogler & Traxler 2017, p. 378.
^ abKogler & Traxler 2017, p. 380.
^Jerrum, Valiant & Vazirani 1986, p. 182, Lemma 6.1.
^Wang & Han 2015, p. 11.
^Wang & Han 2015, pp. 17–18, Median Trick in Boosting Confidence.
The mediantrick is a generic approach that increases the chances of a probabilistic algorithm to succeed. Apparently first used in 1986 by Jerrum et al...
practical. In order to still have a high probability of success, the mediantrick is used to aggregate multiple count sketches, rather than the mean. These...
of nine elements is divided into groups of three and then the median of the three medians from three groups is chosen. Bentley described another simpler...
the time where he is supposed to playing music on the schedule. 40 14 "Trick or Treat" Functions Barry Harman George Arthur Bloom October 28, 2003 (2003-10-28)...
from Persis, he brought the Achaemenid dynasty to power by defeating the Median Empire and embracing all of the previous civilized states of the ancient...
income ($86,451). The median household income after taxes in the City of Ottawa is $73,745 in 2016 was higher than the national median of $61,348. Ottawa's...
May 31, 2022. Late-Night with David Letterman Stupid Pet Tricks on YouTube Stupid Human Trick on David Letterman 1–1987 on YouTube Letterman 4th Anniversary...
users are three times as likely to be younger than 50 years old, with the median age of adult U.S. users being 40. The survey found that 10% of users who...
exercise. A 2024 UK study found a median life expectancy of 13.7 years based on a sample of 62 deaths, which was above the median of 12.7 years for purebreeds...
{\displaystyle f(x)=e^{-(x+e^{-x})}.} In this case the mode is 0, the median is − ln ( ln ( 2 ) ) ≈ 0.3665 {\displaystyle -\ln(\ln(2))\approx 0.3665}...
it comes again from below ground-level, so deep planting should do the trick". P. peperomioides is propagated from plantlets that sprout on the trunk...
dysplasia, blindness, deafness, pulmonic stenosis, a cleft palate, and trick knees. Two severe medical conditions significantly affecting dogs are pyometra...
Ghahramani, Zoubin; Weller, Adrian (2017-07-17). "Lost Relatives of the Gumbel Trick". International Conference on Machine Learning. PMLR: 371–379. Bauckhage...
[permanent dead link] "Brown Lotto trick 'confuses' fans". BBC News. 2009-09-12. Retrieved 2009-09-13. "Derren Brown Lottery Trick YouTube Video By Cyriak Harris...
2022. Retrieved March 5, 2023. "Does Drake's alleged hot sauce in a condom trick work? An expert weighs in". iol.za. Retrieved March 5, 2023. Shevory, Kristina...
at a bank (counterfeit currency and cheques, identity theft, confidence tricks, etc.). The position also requires tellers to be friendly and interact with...
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