1) We don't consider this film suitable for young children (LongMan)
Could it be -- We don't regard this film as a suitable film for young children
2) She is considered to be one of the finest pianist of her generation
Could it be -- She is widely regarded as the finest pianist of her generation
3) I am seriously considered resigning (it seems can't be written with regard)
4) She stood back and regarded him coldly
According to LongMan:
Regard is thinking about someone in a particular way.
Consider is to think about something carefully before making decision.
I wrote this paragraph:
While such features can be used to classify the page elements into "content" and "noise", they may not be applicable to all elements of the page. To illustrate this, suppose we want to eliminate the navigation bar from the page sidebar. We may create a rule in which the link density is employed to distinguish such a part, but when this rule is applied to the page, all such elements are removed regardless of their locations in the page, even if they are within the main content (e.g. Table of Contents). However, if the user was able to specify the context in which a rule must be applied (e.g. the page sidebar), then before removing such an element, context would be regarded.
Could it be considered in replace of regarded? Are they the same?
However, sometimes in the articles I confuse them and need a rule of thumb for that. (Now, it seems making decision is a key)