Adjustment, of weights

The iterative adjustment of weight vectors is similar to the iterative refinement of k-means clustering to derive cluster centroids. The main difference is that adjustment affects neighboring weight vectors at the same time. Kohonen mapping requires O(Nmn) time and 0(N) space, where m is the number of cycles and n the number of neurons. 

Polyetherification is similar to a polycondensation process formation of high molecular weight polymer requires precise adjustment of composition to approximately 1 1 ratio of bisphenol to dihalosulfone. Trace amounts of water gready reduce the molecular weight attainable owing to side reactions that unbalance the stoichiometry (76). The reactivity of the halosulfone is in the order expected for two-step nucleophilic aromatic displacement reactions ... 

Screening machines actuated bv rotating imbalanced weights have a svrnrnetrical shaft through the screen bodv with an imbalanced flv-wheel on each end, (ioimtenveights on each flvwheel, which rnav be moved in relation to the shaft, permit adjustment of the amplitude of vibration. On some makes of machines the complete shaft assernblv is contained in a unit bolted to the top of the screen bodv. 

Learning in the context of a neural network is the process of adjusting the weights and biases in such a manner that for given inputs, the correct responses, or outputs are achieved. Learning algorithms include ... 

In these reactions the system is tuned, for example by adjustment of the reaction temperature and time and modification of the catalyst structure to maximize the quantity of the desired dimers produced, and to minimize the production of higher molecular weight oligomers and polymers. In other reactions it is the opposite... 

Example. Find the volume fraction of brine, the low gravity solids content, the adjusted mud weight, and the oil-to-water ratio from the test data below (use Figure 4-107). 

Step 5. After having found the adjusted mud weight, proceed horizontally from that point to the right to determine the volume percent of solids occupied by the basic emulsifier package. The volume percent of suspended solids is 100% less the sum of the volume-percent oil, the true volume-percent brine (Step 2), and the volume-percent emulsifier solids. 

Find the adjusted mud weight value, extend that point downward until it meets the volume-percent suspended solids line. Proceed horizontally to find the ppg of low gravity solids. 

Other rules are of course possible. One popular choice called the Delta Rule was introduced in 1960 by Widrow and Hoff ([widrowGO], [widrow62]). Their idea was to adjust the weights in proportion to the error (= A) between the desired output (= D(t)) and the actual output (= y(t)) of the perceptron ... 

Fig. 4. Whole-plant fresh weight and leaf osmotic adjustment of Thino-pyrum bessarabicum as a function of time following the gradual addition of 250 mol m NaCl to the culture solution. Fresh weight = control, O = 250 mol m NaCl. Leaf sap osmotic pressure = 250molm NaCl.

Cells selected for tolerance to water stress have been demonstrated in a number of plant species (Handa et al., 1983 Heyser Nabors, 1981 Stavarek Rains, 1984b). High molecular weight PEG is commonly used to induce water deficits (Hasegawa et al., 1984). This provides an opportunity to evaluate intracellular osmotic adjustment of plants exposed to water stress. If information is desired on the effect of specific osmotic substances on cellular adjustment to osmotic stress PEG can be used as an independent osmotic regulator and/or in combination with an absorbable osmoticum. In these situations the interaction of osmoticum produced by the cell with the osmoticum absorbed by the cell can be evaluated. 

This pair of loops adjusts the weight of a group of materials returned from a recursive call so that the weights total to the weight of the intermediate used in the current formula. 

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