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The underlying reality they describe is just not as regularized as the underlying reality of, say, a solar system.
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We denote the algorithm proposed in this article as regularized block diagonal AF (RBD AF) as at high SNRs and when the total number of the antennas at the UTs is less than or equal to the number of the antennas at the RN, the combined effective channel matrix from RN to the UTs, H 2F R, is block diagonal since the UTs transmit only in the null subspace of the co-channel UTs.
The extended models are referred to as regularized classical and regularized natural models.
Indeed, MMSE equalizers can be interpreted as regularized WLS equalizers.
They are intended to be used as regularized coordinates to which some corrections should be added to access instantaneous coordinates.
Classifiers, such as regularized LDA, do not rest on this assumption; therefore, they might be more accurate in extracting information embedded in local multi-voxel patterns.
There are no direct methods for the solution of these problems, and thus they are typically stated as minimization problems such as regularized output least squares.
We examined how well the system recovers T d 's, and compared the proposed method with (i) independent L1-regularized regression, and (ii) independent L2-regularized regression, also known as regularized least squares (RLS).
This privileges the "Neolithic Revolution" in Europe as the origin of all that counts as regularized and legitimate forms of moving and knowing.
Indeed, for some learning methods, such as regularized least-squares (RLS), the search process can be considerably accelerated with computational short-cuts for scoring function evaluation [ 23].
Circular window openings create shadow patterns and frame both the sky and the lush green surroundings; satiny beige and white surfaces provide a sensuous glow, and metal fastenings register as pleasing, regularized high-tech schemes.
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