2. What is AI?
• Real applications, not science fiction
– Control systems, diagnosis systems, games,
interactive animations, combat simulations,
manufacturing scheduling, transportation logistics,
financial analysis, computer-aided tutoring, search-
and-rescue robots
3. Different Perspectives
• Philosophical perspective
– What is the nature of “intelligence”? Can a
machine/program ever be truly “intelligent”?
– Strong AI hypothesis: Is acting intelligently sufficient?
– laws of thought; rational (ideal) decision-making
• Socrates is a man; men are mortal; therefore, Socrates is
mortal
• Psychological perspective
– What is the nature of “human intelligence”?
– Cognitive science – concept representations, internal
world model, information processing metaphor
– role of ST/LT memory? visualization? emotions?
analogy? creativity?
– build programs to simulate inference, learning...
4. • Mathematical perspective
– Is “intelligence” a computable function?
– input: world state, output: actions
– Can intelligence be systematized? (Leibnitz)
– just a matter of having enough rules?
– higher-order logics for belief, self-reference
• Engineering (pragmatic) perspective
– AI helps build complex systems that solve difficult real-
world problems
– decision-making (agents)
– use knowledge-based systems
to encode “expertise” (chess,
medicine, aircraft engines...)
sense
decide act
weak methods:
Search Planning
strong methods:
Inference
5. Search Algorithms
• Define state representation
• Define operators (fn: state→neighbor states)
• Define goal (criteria)
• Given initial state (S0), generate state space
S0
6. Many problems can be modeled as search
• tic-tac-toe
– states=boards, operator=moves
• symbolic integration
– states=equations, opers=algebraic manipulations
• class schedule
– states=partial schedule, opers=add/remove class
• rock band tour (traveling salesman problem)
– states=order of cities to visit, opers=swap order
• robot-motion planning
– states=robot configuration, opers=joint bending
7. 1
2 12
3 6 8 13 14
4 5 7 9 10 11 15
1
2 43
5 6 7 8 9 10 11 12 13
14 15 16 17 18 19 20
Depth-first search
(DFS)
Breadth-first search
(BFS)
Notes:
recursive algorithms using stacks or queues
BFS often out-performs, due to memory limits for large spaces
choice depends on complexity analysis: consider exponential tree size O(bd
)
8. Heuristics
• give guidance to search in terms of which nodes
look “closest to the goal”
– node evaluation function
– h(n)=w1*(piece_differential)+w2*(center_control)+
w3*(#pieces_can_be_taken)+w4*(#kings)
• greedy algorithms search these nodes first
• bias direction of search to explore “best” parts of
state space (most likely to contain goal)
• A* algorithm
– optimal (under certain conditions)
– finds shortest path to a goal
– insensitive to errors in heuristic function
9. Specialized Search Algorithms
• Game-playing
– two-player zero-sum games (alternate moves)
– minimax algorithm: form of “look-ahead” – If I make a
move, how will opponent likely respond? Which move
leads to highest assured payoff?
• Constraint-satisfaction problems (CSPs)
– state=partial variable assignment
– goal find assignment that satisfies constraints
– algorithms use back-tracking, constraint propagation,
and heuristics
– pre-process constraint-graph to make more efficient
– examples: map-coloring, propositional satisfiability,
server configuration
10. • Variables WA, NT, Q, NSW, V, SA, T
• Domains Di = {red,green,blue}
• Constraints: adjacent regions must have
different colors, e.g., WA ≠ NT
CSP algorithms
operate on the
constraint graph
11. Planning
• How to transform world state to achieve goal?
• operators represent actions
– encode pre-conditions and effects in logic
Initial state:
in(kitchen)
have(eggs)
have(flour)
have(sugar)
have(pan)
~have(cake)
Goal:
have(cake)
mix dry
ingredients
mix wet
ingredients
transfer
ingredients
from bowl
to pan
bake at 350
apply
frosting
pre-conds:
∀x ingredient(x,cake)
&dry(x)→have(x)
effect:
mixed(dry_ingr)
pre-conds:
mixed(dry_ingr)&
mixed(wet_ingr)
pre-cond: baked
goto kitchen
goto store
start
car
buy
milk
sautee
another example to think about:
planning rescue mission at disaster site
12. Planning
• How to transform world state to achieve goal?
• operators represent actions
– encode pre-conditions and effects in logic
Initial state:
in(kitchen)
have(eggs)
have(flour)
have(sugar)
have(pan)
~have(cake)
Goal:
have(cake)
mix dry
ingredients
mix wet
ingredients
transfer
ingredients
from bowl
to pan
bake at 350
apply
frosting
pre-conds:
∀x ingredient(x,cake)
&dry(x)→have(x)
effect:
mixed(dry_ingr)
pre-conds:
mixed(dry_ingr)&
mixed(wet_ingr)
pre-cond: baked
goto kitchen
goto store
start
car
buy
milk
sautee
another example to think about:
planning rescue mission at disaster site
13. Planning Algorithms
have(cake) <= baked(cake)&have(frosting) <=...
• State-space search
– search for sequence of actions
– very inefficient
• Goal regression
– work backwards from goal
– identify actions relevant to goal; make sub-goals
• Partial-order planning
– treat plan as a graph among actions
– add links representing dependencies
• GraphPlan algorithm
– keep track of sets of achievable states; more efficient
• SatPlan algorithm
– model as a satisfiability problem
14. Knowledge-Based Methods
• need: representation for search heuristics and planning
operators
• need expertise to produce expert problem-solving behavior
• first-order logic – a formal language for representing
knowledge
• rules, constraints, facts, associations, strategies...
– rain(today)→wet(road)
– fever→infection
– in(class_C_air_space)→reduce(air_speed,150kts)
– can(take_opp_queen,X)&~losing_move(X)→do(X)
• use knowledge base (KB) to infer what to do
– goals & initial_state & KB do(action)
– need inference algorithms to derive what is entailed
• declarative vs. procedural programming
15. First-Order Logic
• lingua franca of AI
• syntax
– predicates (relations): author(Candide,Voltaire)
– connectives: & (and), v (or), ~ (not), → (implies)
– quantified variables: ∀X person(X)→∃Y mother(X,Y)
• Ontologies – systems of concepts for writing KBs
– categories of stuff (solids, fluids, living, mammals, food,
equipment...) and their properties
– places (in), part_of, measures (volume)
– domain-dependent: authorship, ambush, infection...
– time, action, processes (Situation Calculus, Event Logic)
– beliefs, commitments
• issues: granularity, consistency, expressiveness
16. Inference Algorithms
• Natural deduction
– search for proof of query
– use rules like modus ponens (from A and A→B, get B)
• Backward-chaining
– start with goal, reduce to sub-goals
– complete only for definite-clause KBs (rules with
conjunctive antecedents)
• Resolution Theorem-proving
– convert all rules to clauses (disjunctions)
– {AvB,~BvC}→AvC
– keeping resolving clauses till produce empty clause
– complete for all FOL KBs
D
A&B→D
A BvC ~C
B
17. Prolog and Expert Systems
• Automated deduction systems
• programming = writing rules
• make query, system responds with true/false
plus variable bindings
• inference algorithm based on backward-chaining
19. • Unification Algorithm
– determine variable bindings to match antecedents of
rules with facts
– unif. algorithm traverses syntax tree of expressions
– P(X,f(Y),Y) matches P(a,f(b),b) if {X/a,Y/b}
– also matches P(a,f(a),a)
– does not match P(a,b,c), P(b,b,b)
P
X f Y
Y
P
a f b
b
20. • Managing Uncertainty in real expert systems
– default/non-monotonic logics (assumptions)
– certainty factors (degrees of beliefs)
– probabilistic logics
– Bayesian networks (causal influences)
• Complexity of inference?
– suitable for real-time applications?
21. Application of Data Structures and
Algorithms in AI
• priority queues in search algorithms
• recursion in search algorithms
• shortest-path algorithm for planning/robotics
• hash tables for indexing rules by predicate in KBS
• dynamic programming to improve efficiency of
theorem-provers (caching intermediate inferences)
• graph algorithms for constraint-satisfaction
problems (arc-consistency)
• complexity analysis to select search algorithm
based on branching factor and depth of solution for
a given problem
22. Use of AI in Research
• intelligent agents for flight simulation
– collaboration with Dr. John Valasek (Aerospace Eng.)
– goal: on-board decision-making without ATC
– approach: use 1) multi-agent negotiation, 2)
reinforcement learning
• pattern recognition in protein crystallography
– collaboration with Dr. James Sacchettini (Biochem.)
– goal: automate determination of protein structures
from electron density maps
– approach: extract features representing local 3D
patterns of electron density and use to recognize
amino acids and build
– uses neural nets, and heuristics encoding knowledge
of typical protein conformations and contacts
23. • TAMU courses on AI
– CPSC 420/625 – Artificial Intelligence
– undergrad
• CPSC 452 – Robotics and Spatial Intelligence
• also related: CPSC 436 (HCI) and CPSC 470 (IR)
– graduate
• CPSC 609 - AI Approaches to Software Engineering*
• CPSC 631 – Agents/Programming Environments for AI
• CPSC 632 - Expert Systems*
• CPSC 633 - Machine Learning
• CPSC 634 Intelligent User Interfaces
• CPSC 636 - Neural Networks
• CPSC 639 - Fuzzy Logic and Intelligent Systems
• CPSC 643 Seminar in Intelligent Systems and Robotics
• CPSC 644 - Cortical Networks
• CPSC 666 – Statistical Pattern Recognition (not official yet)
• Special Topics courses (CPSC 689)...
• * = not actively taught
24. goals KB initial state
goal state
perception
action
agent environment