Types of inference engines
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
As Expert Systems evolved many new techniques were incorporated into various types of inference engines. Some of the most important of these were:
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification.
Truth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology ClassificationTruth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology ClassificationTruth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology ClassificationTruth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology ClassificationTruth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology ClassificationTruth Maintenance.
Hypothetical Reasoning.
Fuzzy Logic.
Ontology Classification
Lecture slides by Mustafa Jarrar at Birzeit University, Palestine.
See the course webpage at: http://jarrar-courses.blogspot.com/2012/04/aai-spring-jan-may-2012.html
and http://www.jarrar.info
and on Youtube:
http://www.youtube.com/watch?v=aNpLekq6-oA&list=PL44443F36733EF123
Solving problems by searching Informed (heuristics) Searchmatele41
Informed Search – a strategy that uses problem-specific knowledge beyond the definition of the problem itself
Best-First Search – an algorithm in which a node is selected for expansion based on an evaluation function f(n)
These slides are part of a course about interactive objects in games. The lectures cover some of the most widely used methodologies that allow smart objects and non-player characters (NPCs) to exhibit autonomy and flexible behavior through various forms of decision making, including techniques for pathfinding, reactive behavior through automata and processes, and goal-oriented action planning. More information can be found here: http://tinyurl.com/sv-intobj-2013
Lecture slides by Mustafa Jarrar at Birzeit University, Palestine.
See the course webpage at: http://jarrar-courses.blogspot.com/2012/04/aai-spring-jan-may-2012.html
and http://www.jarrar.info
and on Youtube:
http://www.youtube.com/watch?v=aNpLekq6-oA&list=PL44443F36733EF123
Solving problems by searching Informed (heuristics) Searchmatele41
Informed Search – a strategy that uses problem-specific knowledge beyond the definition of the problem itself
Best-First Search – an algorithm in which a node is selected for expansion based on an evaluation function f(n)
These slides are part of a course about interactive objects in games. The lectures cover some of the most widely used methodologies that allow smart objects and non-player characters (NPCs) to exhibit autonomy and flexible behavior through various forms of decision making, including techniques for pathfinding, reactive behavior through automata and processes, and goal-oriented action planning. More information can be found here: http://tinyurl.com/sv-intobj-2013
These slides are part of a course about interactive objects in games. The lectures cover some of the most widely used methodologies that allow smart objects and non-player characters (NPCs) to exhibit autonomy and flexible behavior through various forms of decision making, including techniques for pathfinding, reactive behavior through automata and processes, and goal-oriented action planning. More information can be found here: http://tinyurl.com/sv-intobj-2013
Search techniques in ai, Uninformed : namely Breadth First Search and Depth First Search, Informed Search strategies : A*, Best first Search and Constraint Satisfaction Problem: criptarithmatic
Abstract: This PDSG workship introduces basic concepts on Greedy and A-STAR search. Examples are given pictorially, as pseudo code and in Python.
Level: Fundamental
Requirements: Should have prior familiarity with Graph Search. No prior programming knowledge is required.
Artificial Intelligence lecture notes. AI summarized notes for heuristically informed searches and types of searches in ai ( ai search algorithms ) and machine learning as well, just for reading and may be for self-learning, I think.
this is ppt on the topic of heuristic search techniques or we can also known it by the name of informed search techniques.
in this presentation we only disscuss about three search techniques there are lot of them by the most important once are in this presentation.
These slides are part of a course about interactive objects in games. The lectures cover some of the most widely used methodologies that allow smart objects and non-player characters (NPCs) to exhibit autonomy and flexible behavior through various forms of decision making, including techniques for pathfinding, reactive behavior through automata and processes, and goal-oriented action planning. More information can be found here: http://tinyurl.com/sv-intobj-2013
Search techniques in ai, Uninformed : namely Breadth First Search and Depth First Search, Informed Search strategies : A*, Best first Search and Constraint Satisfaction Problem: criptarithmatic
Abstract: This PDSG workship introduces basic concepts on Greedy and A-STAR search. Examples are given pictorially, as pseudo code and in Python.
Level: Fundamental
Requirements: Should have prior familiarity with Graph Search. No prior programming knowledge is required.
Artificial Intelligence lecture notes. AI summarized notes for heuristically informed searches and types of searches in ai ( ai search algorithms ) and machine learning as well, just for reading and may be for self-learning, I think.
this is ppt on the topic of heuristic search techniques or we can also known it by the name of informed search techniques.
in this presentation we only disscuss about three search techniques there are lot of them by the most important once are in this presentation.
This presentation discusses the state space problem formulation and different search techniques to solve these. Techniques such as Breadth First, Depth First, Uniform Cost and A star algorithms are covered with examples. We also discuss where such techniques are useful and the limitations.
What is A * Search? What is Heuristic Search? What is Tree search Algorithm?Santosh Pandeya
What is A * Search? What is Heuristic Search? What is Tree search Algorithm?
Moving from one place to another is a task that we humans do almost every day. We try to find the shortest path that enables us to reach our destinations faster and make the whole process of traveling as efficient as possible. In the old days, we would trial and error with the paths available and had to assume which path taken was shorter or longer.
What is a Search Algorithm?
Tree search Algorithm
Breadth-First Search
Depth-First Search
Bidirectional Search
Uniform Cost Search
Iterative Deepening Depth-First Search
Heuristic Search
Manhattan distance
Pure Heuristic Search
A * Search
Formula
A * Search Explanation
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
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• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
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2. Informed (Heuristic) search
• Heuristic search is an AI search technique that
employs heuristic for its moves.
• Heuristic is a rule of thumb that probably
leads to a solution.
• Heuristics play a major role in search
strategies because of exponential nature of
the most problems. Heuristics help to reduce
the number of alternatives from an
exponential number to a polynomial number.
3. Heuristic search
• In Artificial Intelligence, heuristic search has a
general meaning, and a more specialized
technical meaning.
• In a general sense, the term heuristic is used for
any advice that is often effective, but is not
guaranteed to work in every case.
• Within the heuristic search architecture,
however, the term heuristic usually refers to the
special case of a heuristic evaluation function.
4. Heuristic information
• In order to solve larger problems, domain-
specific knowledge must be added to improve
search efficiency.
• Information about the problem include the
nature of states, cost of transforming from one
state to another, and characteristics of the goals.
• This information can often be expressed in the
form of heuristic evaluation function, say f(n,g), a
function of the nodes n and/or the goals g.
5. Heuristic evaluation function
• Heuristic evaluation function estimates the
cost of an optimal path between a pair of
states in a single-agent path-finding problem, .
• For example, Euclidean or airline distance is an
estimate of the highway distance between a
pair of locations.
6. Manhattan Distance
• Manhattan distance is a common heuristic
function for the sliding-tile puzzles.
• Manhattan distance is computed by counting
the number of moves along the grid that each
tile is displaced from its goal position, and
summing these values over all faces.
7. Heuristic evaluation function
• For a fixed goal state, a heuristic evaluation is a
function of a node, say h(n), that estimates the
distance from node, say n to the given state.
• h(n) = estimated cost of the cheapest path from
node n to a goal node
• There is a whole family of Best-First Search
algorithms with different evaluation functions
– Each has a heuristic function h(n)
8. Following is a list of heuristic search
techniques…
• Greedy best-first search
• A* search
• Recursive best-first search
• Pure Heuristic Search
• Iterative-Deepening A*
• Depth-First Branch-And-Bound
• Heuristic Path Algorithm
9. Greedy Best-First Search
• Greedy Best-First search tries to expand the node that is
closest to the goal assuming it will lead to a solution quickly
– f(n) = h(n)
– “Greedy Search”
• to refer specifically to a search with a heuristic that attempts to predict
how close the end of a path is to a solution, so that paths which are
judged to be closer to a solution are extended first. This specific type
of search is called greedy best-first search.
• Implementation
– expand the “most desirable” node into the fringe queue
– sort the queue in decreasing order of desirability
• Example: consider the straight-line distance heuristic hSLD
– Expand the node that appears to be closest to the goal
11. Greedy Best-First Search
• hSLD(In(Arid)) = 366
• Notice that the values of hSLD cannot be
computed from the problem itself
• It takes some experience to know that hSLD is
correlated with actual road distances
– Therefore a useful heuristic
15. Greedy Best-First Search
• Complete
– No, GBFS can get stuck in loops (e.g. bouncing back and
forth between cities)
• Time
– O(bm) but a good heuristic can have dramatic improvement
• Space
– O(bm) – keeps all the nodes in memory
• Optimal
– No!
19. A* Search
• A* algorithm is a best-first search algorithm in which
the cost associated with a node is
f(n) = g(n) + h(n),
where g(n) is the cost of the path from the initial state
to node n and h(n) is the heuristic estimate or the cost
or a path from node n to a goal.
• Thus, f(n) estimates the lowest total cost of any
solution path going through node n. At each point a
node with lowest f value is chosen for expansion.
• Ties among nodes of equal f value should be broken in
favor of nodes with lower h values. The algorithm
terminates when a goal is chosen for expansion.
20. A* Search
• A* (A star) is the most widely known in AI
– It evaluates nodes by combining g(n) and h(n)
– f(n) = g(n) + h(n)
– Where
• g(n) = cost so far to reach n
• h(n) = estimated cost to goal from n
• f(n) = estimated total cost of path through n
21. A* Search
• When h(n) = actual cost to goal
– Only nodes in the correct path are expanded
– Optimal solution is found
• When h(n) < actual cost to goal
– Additional nodes are expanded
– Optimal solution is found
• When h(n) > actual cost to goal
– Optimal solution can be overlooked
28. A* Search
• A* expands nodes in increasing f value
– Gradually adds f-contours of nodes (like breadth-
first search adding layers)
– Contour i has all nodes f=fi where fi < fi+1
29. A* Search
• Complete
– Yes, unless there are infinitely many nodes with f <= f(G)
• Time
– Exponential in [relative error of h x length of soln]
– The better the heuristic, the better the time
• Best case h is perfect, O(d)
• Worst case h = 0, O(bd) same as BFS
• Space
– Keeps all nodes in memory and save in case of repetition
– This is O(bd) or worse
– A* usually runs out of space before it runs out of time
• Optimal
– Yes, cannot expand fi+1 unless fi is finished
30. Once more
• We kept looking at nodes closer and closer to the
goal, but were accumulating costs as we got further
from the initial state
• Our goal is not to minimize the distance from the
current head of our path to the goal, we want to
minimize the overall length of the path to the goal!
• Let g(N) be the cost of the best
path found so far between the initial
node and N
• f(N) = g(N) + h(N)
32. Complexity Of Finding Optimal Solutions
• The time complexity of a heuristic search
algorithm depends on the accuracy of the
heuristic function.
• For example, if the heuristic evaluation function is
an exact estimator, then A* search algorithm runs
in linear time, expanding only those nodes on an
optimal solution path.
• Conversely, with a heuristic that returns zero
everywhere, A* algorithm becomes uniform-cost
search, which has exponential complexity.