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December 27, 2009

Minimax for planning

'Picking up from my previous entry, Planning as environment adaptation.

A strong theme in my recent work is the attempt to match up tools from AI to apply to my problem. For example, most recently, I tried to adapt Markov Decision Processes.

Mike suggested that I might want to look at my problem as a game. In game theory, an agent's decisions are affected by the decisions of another agent. A cooperative game is when utility goes up as all parties work towards common goals. This fits my problem. So I would like to explore it a little more.

When I think game theory, I think Minimax. And I keep coming back to planning. So I found this cool paper (1978) on Minimax and planning. (Minimax Solutions to Stochastic Programs - An Aid to Planning Under Uncertainty.) I enjoyed this paper because it was helpful for me to see an application of Minimax outside of a checkers game, chess game, etc.. The take-away message I got from skimming the paper is that instead of using Minimax to anticipate the opponent's move, you are anticipating possible "future scenarios" and the good vs. bad futures, and you want to do everything you can to push towards the GOOD possible future.

During my conversation with Gord, he identified the theme of Global Coherence vs Local Adaptivity in Instructional Planning.

In terms of human learning, it is important for a student to project forward their "theories" of how they believe the world works. That is, they form a theory that is some approximation of the actual task domain model. I think that this is where Global Coherence fits in. The learning environment must create the grounds for where the learner can manifest their theories.

Within these grounds, the learning environment must then provide opportunity for the learner to receive confirmation, affirmation, test their theories. This is how learning works. And this is the Local Adaptivity. This finer-grained territory might be where my process modelling fits in.

Blarg, baby's awake. And I was just getting started! :(

Posted by Frozone Permalink on December 27, 2009 01:55 PM | Comments (0)
categorized under Pedagogical modelling




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Index to Steph's Notes

Feb. 24th 2007 - Weee! This new part of my website is not an entry, but rather a permanent fixture whose purpose is to "Look Down on All Those Notes With Some Grand Vision of Organization". Wish me luck. LOL
  1. Representing meta-data (fuel) & the different kinds of "hooks" that intelligent systems can use (how fuel is injected into the motor of the engine)
    1. Motivation: Semantic net / Rationalizable to a machine
      1. Semantic network
      2. Genetic graph
      3. Prerequisite AND/OR graph
      4. Constraint Satisfaction Problems
      5. Bayesian networks / causal graphs
    2. Technology & Philosophy: RDF, modus ponens,
      1. Predicates, Logic & situation calculus
        1. When in doubt, do some math
    3. What kinds of data? - What kinds of meta-data would an AIEd system possibly need, and how is it represented?
      1. task domain knowledge
      2. "is-prerequisite-to"-type knowledge
        1. Jackpot! A pedagogical ontology
      3. interactions with learning objects & other learners - (location, composition is-a/part-of, sequencing by restricting navigation, personalization, ontologies for LO context)
        1. Types of 'Ecological' data
      4. lesson plans, curriculum plans, practicing sessions (What is stored, what is generated on the fly? What is remembered?)
        1. Agent memory
    4. How to organize it - When is it stored in a database? Meta-data? Agent memory banks? Protocols? Repositories? XML files? Home-servers? WSDL services? Frameworks? Portable banks? P2P access?
      1. Database of object-agent interactions
      2. Concept of "Home" on a P2P network -- maybe the bulk of a learning object's usage data is on its home server and can be queried using WSDL or something ? Similar homes for each student's usage history, etc. Baggage problem.
    5. Links to the ontologies
      1. referring to a concept/relationship - ex. AgentOwl?
        1. Using Vocabularies in JENA
        2. Referring to a concept/relationship in an ontology
        3. Improved: Referring to a concept/relationship in an ontology
        4. Using OWL to reference constraints in tutoring systems
    6. Generation of this data
      1. Rationalization: For use by other AIEd systems
      2. What is generated - discuss items under part I.C.
      3. When it's generated - describe procedural model, which parts of the engine generate what (isa-part-of data, XML feeds, web services, meta data bout groups and collaboration, protocols, examples Friend of A Friend FOAF project)
        1. Thinking about the system's RDF output
      4. Technical notes of HOW it's generated: JENA, issues of implementation demo, my Hermione & Ron agent examples, lol
      5. Usage of this generated data - see part IV. A.
  2. Given the engine, who uses it?
    1. Students / Learners / "Me"
      1. instructional planning, student model, pre-requisites, tutoring, coaching, collaboration,constructivism
    2. Teachers / Educators / "Me"
      1. putting together lessons
      2. be able to browse through task domain knowledge in an objective / encyclopaedia format, then be able to pick-and-choose what you need for your students
      3. compose examples, design explanations, pull together diagrams, learning objects, etc. Haystack Relo?
    3. Administration / Governement / Structure / Crowd Control
      1. as restrictions/obstacles/sand pit to the robot in agent environment
      2. can't just have a swarm of students and teachers out there -- need structure of courses, curriculum, objectives, requirements (at least, we do in this day and age!) - Report cards, evaluation, feedback
      3. government, marks, certificates, requirements, funding, curriclum, attendance, delinquent, non-attending, motivation
      4. school''s images, goals, strengths, payroll, HR, security, accounts, permissions, privacy
      5. registration, failed courses
  3. User Environment -- How does this engine work? What does the user see on the screen?
    1. Introduction - Given a background in educational psychology, how does the system present itself -- what does the user see, and were does this data come from? Links to thoughts from part I.)
    2. Task Domain Browsing - Suppose you're you're just idly browsing through the "raw" content. How would it look when it's not wrapped around a learning-context or lesson or tutorial or anything. 'Cross between browsing a raw task domain ontology and browsing a learning object repository.
      1. Cleaning up the data -- Visualizing the data for humans to pick through the task domain and work on it. Suppose the "Subject Expert" discovers an advancement in science and needs to update the "world's" domain knowledge. (I used the "Subject Expert" terminology from Ontologies to Support Learning Design Context - Thanks Chris) How would they make corrections to ontologies and learning objects, or at least point the users of "old" objects towards adopting the newer ones.
      2. "Modes" - Learning & Lessons / Checklist - Homework, Assignments, Courses being taken / Collaborative mode / Teaching mode / Calendar- email -adminisrative mode -- See also the different kinds of scenarios in the ActiveMath system
        1. Educating myself about Education
  4. Evolution of this engine
    1. target some key implementation hooks discussed in part I - design an experiment/demo
      1. scrape a page - (Note, scraping can only give objective data, not in-context dat)
      2. LO repository - related to browsing the task domain?
      3. a learners "To Do" list - where does it come from? Assignments, courses.
      4. sample group scenario
      5. sample teacher lesson planning
      6. sample data "left behind"
      7. sample use of that data
    2. Data mining (for what? lol )
      1. discovery / generation of ontologies - when do you need to hunt for them, and when do you have to have a solidly-known & predictable ontology?
        1. Ontological Engineering: taking a first bite
    3. I/O - where it happens, which languages, protocols, which agents perform i/o and when, precepts, actuators
      1. Role Assignments
        1. Levels of authorization in web applications
      2. My Environment Adapts to me
        1. Displaying feedback from the server on JSP pages (Software engineering considerations)
        2. Sketching out a design (Content planning vs. Delivery planning)
      3. agent negotiations / social structures / ummm... Web 2.0 ?
        1. Towards student modelling
        2. Anatomy of an agent
    4. garbage collection of meta data
      1. Artificial Intelligence & Evolution
        1. Memory Culling: Necessary part of intelligence? (artificial or human)
        2. Applications for the Genetic/Evolutionary algorithm
      2. open learning environments
  5. Agents, pets, grouping, Community modelling
    1. Protocols - finding groups, cyber dollars, state diagrams (?)
    2. "Community Studies" - graphs & communication hubs, types of communities (free-for-all, hierarchy of authority, etc.)
    3. implications of joining a community - what do you share, which parts of your student model are relevant
    4. Walls & sand traps -- deliberate restrictions as problem-solving for learning
    5. Communication channels - individual-to-individual, individual-to-community, chat channels, agent-only "administrative" communications, ex. requests for related learning objects in a particular community, etc.
  6. Educational/Pedagogical focus (this part probably shouldn't be its own section but rather incorporated into the whole picture, but it's separate for me right now because I'm still only just starting to learn about it.)
    1. Semantics - what there is to talk about in Education
      1. ex. Merril's First Principles of Instruction, linking educational terms to AI terms
        1. Educating myself about education
    2. Pedagogical skills for tutors -- supporting human *and* artifical tutors
      1. Modelling teaching strategies
      2. What is teaching?
      3. Decision theory for teaching strategies
      4. My pedagogical issues
      5. Ontological comparisons as spatial relationships
    3. Student modelling - what the machine needs to know about the student, pedagogically-speaking, about learning history/preferences
    4. Roles - Simulated students, Coaches, Tutors, Teachers,