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The remaining N/4 slots were filled up with randomly initialized parameter sets.
This is reasonable since the SAGE algorithm, which approximates the MLE with iterative procedures, has an inherent limitation that the estimates may lead to a local maximum of likelihood that is usually determined by the initialized parameter estimation instead of a global maximum.
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However, the traditional error back-propagation algorithms may lead to a poor local minimum when the NN is trained from a set of randomly initialized parameters, and this effect gets more pronounced if the underlying NN structure is deep.
The computation begins with initializing parameters and an initial value of the friction coefficient in the model.
In contrast to the original GA initializing parameters completely at random, here the IGA performs initialization under the guidance of feasible region, making it more probable to approach optimal states.
By selecting the closed-form solution to initialize parameters, this algorithm improves the accuracy with negligible additional computational time.
This handshake procedure takes care of two important issues: (1) Sender and receiver establish communication, initialize parameters, and estimate SNR; (2) the neighboring nodes that are in communication range of either the sender or the receiver avoid any transmission initiation during the ongoing session.
In contrast to other image segmentation methods, there is no need for us to re-initialize parameters, which deduces the complexity of our algorithm to O ( N ) (N is the number of pixels) and provides significant efficiency improvement when dealing with large-scale images.
For each optimization, we did 1000 runs from different randomized starting conditions, initializing parameters uniformly within their allowed intervals.
It is helpful to initialize parameters with values that preserve symmetry; e.g., θ mk ≈ 0.5, α s (i ) ≈ 1 / S, and β msk ≈ 1/ K for all values of m, s, and k, respectively.
We then randomly choose initial parameter values to initialize the HMM for parameter training.
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