The key to estimating the distance to monotonicity is to approximate the number of the δ-big integers. To identify a δ-big integer i, we need to find an interval starting or ending at i such that there are many violations with i in the interval. This is done through random sampling, to ensure a sublinear running time.
Oct 3, 2005
Feb 12, 2007 · In standard property testing, the task is to distinguish between objects that have a property 𝒫 and those that are ε-far from 𝒫, ...
Abstract. In standard property testing, the task is to distinguish be- tween objects that have a property P and those that are ε-far from P, for some ε > 0.
In standard property testing, the task is to distinguish between objects that have a property and those that are ε-far from , for some ε > 0.
In standard property testing, the task is to distinguish between objects that have a property ℘ and those that are ε-far from ℘, for some ε > 0.
Aug 21, 2017 · Here's a purely algebraic solution: Let h(x,a)=(x−a)2+f(x)2 so a′=argminx∈Rh(x,a). Let a1<a2. Note that.
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A nonadaptive algorithm that, given oracle access to a function f, makes poly (n,1/α) queries and returns an estimate that, with high probability, ...
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Mar 8, 2014 · It's fairly clear there is no general monotonicity relation between these two functions: Holding the inner product constant you can increase or decrease the ...
We address this problem in this paper, restricting our attention to monotonicity testing. A function f:{1,..., n} ↦R is at distance ε f from being monotone if ...
In standard property testing, the task is to distinguish between objects that have a property P and those that are ε-far from P, for some ε > 0.