I think you should make a distinction if the different behaviours comes from different circumstances or not.
If their environment is always the same, then I think the only to have what you ask is if the system has a hidden, very specific parameter, that says "when X and Y and Z happens, zig instead of zagging".
Otherwise, if the model is slightly chaotic, then an important alteration to the environment might provoke very different behaviour.
For the first type of agent, think of two Markov chains almost identical, only one has a very improbable arc to a stable subnet that doesn't exists in the other chain.
For the second type, think of two similar strange attractors, that have different behaviours away from the stable parameters. They will be approximately identical in the same zone and be very different away from that zone.
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I have a question for LWers who are non-native English speakers.
I am working on a software system for linguistically sophisticated analysis of English text. At the core of the system is a sentence parser. Unlike most other research in NLP, a central goal of my work is to develop linguistic knowledge and then build that knowledge into the parser. For example, my system knows that the verb ask connects strongly to subjectized infinitive phrases ("I asked him to take out the trash"), unlike most other verbs.
The system also has a nice parse visualization tool, which shows the grammatical structure of an input sentence. You can check it out here.
This work began as a research project and I am trying to figure out a way to commercialize it. One of my ideas is to use the system as a tool for helping students to learn English. Students could submit confusing sentences to the system and observe the parse tree, allowing them to understand the grammatical structure. They could also submit their own written sentences to the system, as a way of checking their grammar. Teachers of ESL students might also ask them to submit their class papers to the parser to check for obvious mistakes (apparently there are many people who can communicate well in spoken English but whose written English is full of mistakes).
I would also write up a series of articles about subtle points of English grammar, such as phrasal verbs, argument structure, verb tense, and so on. Students could then read the articles and experiment with using the relevant grammar patterns in the parser.
Does this sound like a plausible product that people would want to use? Are there products already on the market that do something similar? (I am aware of Grammarly, but it doesn't appear to show parse trees).
How would you use the grammar visualization tool to aid study? Many people answered "unsure" to the poll because it's not clear how it should be used, or "Not really" because the first uses they thought about were not helpful.
You should give the user the guidelines on how to better consume your product.
Usually needs --> tools. Yours seems a case of inverted implication.