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As mentioned above, in this example we consider the coefficient a as a constant, and f is an exact data function.
For an exact data function (g(t)=u(b,t)), we use a finite difference scheme with (N=30) points in the interval ([1,2]) and (M=12text000) points in ([0,T]).
For an exact data function φ ( x ), its discrete noisy version is φ ϵ ( x ) = φ ( x ) + ϵ ⋅ r a n d , where φ = ( φ ( x 1 ), …, φ ( x N ) ), x j = − 3 + 3 ( j − 1 ) N − 1, j = 1, 2, …, N, and ϵ = ∥ φ ϵ − φ ∥ = 1 N ∑ j = 1 N | φ ( x j ) − φ ϵ ( x j ) | 2. The function r a n d generates arrays of random numbers whose elements are normally distributed with mean 0, variance σ 2 = 1, and SD σ = 1.
This demonstrates the presence of regulator interference in causal networks under an exact data symmetry.
Consider an exact data symmetry Φ j, k X t = X t, i.e. X j, X k are identical.
By integrating the model equations with θ* we generate an exact data set at the same data points as the initial data set.
Similar(53)
Harris Public Policy brings an exacting, data-driven perspective to the full spectrum of policy issues facing our world.
(2008) for an extensive discussion on exact data simulation.
The existing techniques which consider uniformly distributed random data may not exploit the exact data behavior of an application and hence can give inferior performance results.
It's not exact data that yields an exact result; it's more information to help guide a more informed process.
We can transmit the same exact data that goes over an HDMI cable through the air without compromise.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com