Partitioning feature selection

Recursive partitioning is a feature selection method. As such it shares the deficiencies of other feature selection methods such as stepwise or subset regression. The major deficiencies are as follows ... 

Adsorption and ion exchange share so many common features in regard to apphcation in batch and fixed-bed processes that they can be grouped together as sorption for a unified treatment. These processes involve the transfer and resulting equilibrium distribution of one or more solutes between a fluid phase and particles. The partitioning of a single solute between fluid and sorbed phases or the selectivity of a sorbent towards multiple solutes makes it possible to separate solutes from a bulk fluid phase or from one another. 

Fig. 3. Recursive partitioning. Recursive partitioning divides compounds into progressively smaller groups using specific features. The splitting features are selected using the potency of the compounds.

Remark 1 As can be seen in Figure 8.20, the above problem statement corresponds to the simultaneous consideration of the second and third rectangle inside the loop of the HRAT optimization. The key feature is that we do not need to partition the HEN problem into subnetworks based on the location of its pinch point(s). Instead, we postulate all possible matches that may take place and optimize simultaneously for the selection of matches and their heat loads, as well as the minimum investment cost network structure,... 

The remaining factors of Eq. (7.16) will make up the integrand involved in a canonical partition function. But we will prefer to evaluate a grand canonical partition function. In doing this, we will select the appropriate m factors of the activity out of the activities available, and denote that combination by z . The ) feature will be zero for cases that N isn t sufficient to supply the ligand set m. Therefore, all nonzero contributions will be proportional to the factor of z . 

The capability and efficiency of DuCCC in performing classic countercurrent distribution has been demonstrated in the isolation of bioactive lignans and triter-penoic acids from crude natural products and in the purification of synthetic polypeptides. DuCCC provides excellent resolution and sample loading capacity. It offers a unique feature of elution of the nonpolar components in the upper-phase solvent (assuming the upper phase is less polar than the lower phase) and concomitant elution of the polar components in the lower phase. This capability results in an efficient and convenient preparative method for purification of the crude complex mixture. The capability of DuCCC has not yet been fully explored. For instance, a particular solvent system can be selected to give the desired bioactive component a partition coefficient of 1. This... 

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