Hill climbing algorithm in artificial intelligence with example ppt - Hill climbing algorithm is one such optimization algorithm used in the field of Artificial Intelligence. It is a mathematical method which optimizes only the neighboring points and is considered to be heuristic. A heuristic method is one of those methods which does not guarantee the best optimal solution. This algorithm belongs to the local ...

 
Hill climbing is basically a search technique or informed search technique having different weights based on real numbers assigned to different nodes, branches, and goals in a path. In AI, machine learning, deep learning, and machine vision, the algorithm is the most important subset. With the help of these algorithms, ( What Are Artificial .... Driscoll

May 18, 2015 · Mohammad Faizan Follow Recommended Heuristc Search Techniques Jismy .K.Jose 9.6K views•49 slides Hill climbing algorithm in artificial intelligence sandeep54552 4.7K views•7 slides Control Strategies in AI Amey Kerkar 28.6K views•76 slides Hill climbing algorithm Dr. C.V. Suresh Babu 2.4K views•14 slides In-and-Out of A* Algorithm • This formula is the heart and soul of this algorithm • These help in optimizing and finding the efficient path www.edureka.co In-and-Out of A* Algorithm • This parameter is used to find the least cost from one node to the other F = G + H • Responsible to find the optimal path between source and destination ...As far as I understand, the hill climbing algorithm is a local search algorithm that selects any random solution as an initial solution to start the search. Then, should we apply an operation (i.e., ... search. optimization. hill-climbing. Nasser. 201. asked Jan 19, 2018 at 15:07. 1 vote.Using Computational Intelligence • Heuristic algorithms, ... Illustrative Example Hill-Climbing (assuming maximisation) 1. current_solution = generate initialIn simple words, Hill-Climbing = generate-and-test + heuristics. Let’s look at the Simple Hill climbing algorithm: Define the current state as an initial state. Loop until the goal state is achieved or no more operators can be applied on the current state: Apply an operation to current state and get a new state.May 12, 2020 · In this video we will talk about local search method and discuss one search algorithm hill climbing which belongs to local search method. We will also discus... Title: Hill-climbing Search 1 Hill-climbing Search. Goal Optimizing an objective function. Can be applied to goal predicate type of problems. BSAT with objective function number of clauses satisfied. Intuition Always move to a better state ; 2 Some Hill-Climbing Algos. Start State empty state or random state or special state ; Until (no ...Techniques of knowledge representation. There are mainly four ways of knowledge representation which are given as follows: Logical Representation. Semantic Network Representation. Frame Representation. Production Rules. 1. Logical Representation. Logical representation is a language with some concrete rules which deals with propositions and has ...Local search algorithms • Hill-climbing search – Gradient descent in continuous state spaces – Can use, e.g., Newton’s method to find roots • Simulated annealing search • Local beam search • Genetic algorithms • Linear Programming (for specialized problems)* Simple Hill Climbing Example: coloured blocks Heuristic function: the sum of the number of different colours on each of the four sides (solution = 16). * Steepest-Ascent Hill Climbing (Gradient Search) Considers all the moves from the current state. Selects the best one as the next state. Such a technique is called Means-Ends Analysis. Means-Ends Analysis is problem-solving techniques used in Artificial intelligence for limiting search in AI programs. It is a mixture of Backward and forward search technique. The MEA technique was first introduced in 1961 by Allen Newell, and Herbert A. Simon in their problem-solving computer ...Jan 27, 2018 · The application of the hill- climbing algorithm to a tree that has been generated prior to the search is illustrated in Figure 11.1. State Space Representation and Search Page 17 Figure 11.1 The hill-climbing algorithm is described below. The hill-climbing algorithm generates a partial tree/graph. الذكاء الاصطناعي خوارزمية تسلق القمة Hill Climbing algorithmخوارزميات البحث الذكية خوارزميات البحث الطماعة( الجشعة ...Jul 21, 2019 · Hill Climbing Algorithm: Hill climbing search is a local search problem. The purpose of the hill climbing search is to climb a hill and reach the topmost peak/ point of that hill. It is based on the heuristic search technique where the person who is climbing up on the hill estimates the direction which will lead him to the highest peak. See also Steps to Solve Problems in Artificial Intelligence. 1. Current state = (0, 0) 2. Loop until the goal state (2, 0) reached. – Apply a rule whose left side matches the current state. – Set the new current state to be the resulting state. (0, 0) – Start State. (0, 3) – Rule 2, Fill the 3-liter jug. move. For example, we could try 3-opt, rather than a 2-opt move when implementing the TSP. Unfortunately, neither of these have proved satisfactory in practice when using a simple hill climbing algorithm. Simulated annealing solves this problem by allowing worse moves (lesser quality) to be taken some of the time. Aug 2, 2023 · Following are the types of hill climbing in artificial intelligence: 1. Simple Hill Climbing. One of the simplest approaches is straightforward hill climbing. It carries out an evaluation by examining each neighbor node's state one at a time, considering the current cost, and announcing its current state. The Wumpus world is a simple world example to illustrate the worth of a knowledge-based agent and to represent knowledge representation. It was inspired by a video game Hunt the Wumpus by Gregory Yob in 1973. The Wumpus world is a cave which has 4/4 rooms connected with passageways. So there are total 16 rooms which are connected with each other.Abstract: The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many applications in fields like public key cryptography, integer factorization, algebraic curves, projective curves and data dependency in super computers.Hill Climbing. Hill climbing is one type of a local search algorithm. In this algorithm, the neighbor states are compared to the current state, and if any of them is better, we change the current node from the current state to that neighbor state.Hill-climbing Algorithm In Best-first, replace storage by single node Works if single hill Use restarts if multiple hills Problems: finds local maximum, not global plateaux: large flat regions (happens in BSAT) ridges: fast up ridge, slow on ridge Not complete, not optimal No memory problems Beam Mix of hill-climbing and best first Storage is ... Ex:- Some games like chess, hill climbing, certain design and scheduling problems. Figure 5: AI Search Algorithms Classification (Image designed by Author ) Search algorithm evaluating criteria:Heuristic Search Techniques. Contents • A framework for describing search methods is provided and several general purpose search techniques are discussed. • All are varieties of Heuristic Search: – Generate and test – Hill Climbing – Best First Search – Problem Reduction – Constraint Satisfaction – Means-ends analysis.A class of general purpose algorithms that operates in a brute force way The search space is explored without leveraging on any information on the problem Also called blind search, or naïve search Since the methods are generic they are intrinsically inefficient E.g. Random Search Hill Climbing Algorithm: Hill climbing search is a local search problem. The purpose of the hill climbing search is to climb a hill and reach the topmost peak/ point of that hill. It is based on the heuristic search technique where the person who is climbing up on the hill estimates the direction which will lead him to the highest peak.Practice. Uniform-Cost Search is a variant of Dijikstra’s algorithm. Here, instead of inserting all vertices into a priority queue, we insert only the source, then one by one insert when needed. In every step, we check if the item is already in the priority queue (using the visited array). If yes, we perform the decrease key, else we insert it.Jul 27, 2022 · Hill climbing algorithm is one such optimization algorithm used in the field of Artificial Intelligence. It is a mathematical method which optimizes only the neighboring points and is considered to be heuristic. A heuristic method is one of those methods which does not guarantee the best optimal solution. This algorithm belongs to the local ... In Artificial Intelligence, Search techniques are universal problem-solving methods. Rational agents or Problem-solving agents in AI mostly used these search strategies or algorithms to solve a specific problem and provide the best result. Problem-solving agents are the goal-based agents and use atomic representation.ICS 171 Fall 2006 Summary Heuristics and Optimal search strategies heuristics hill-climbing algorithms Best-First search A*: optimal search using heuristics Properties of A* admissibility, monotonicity, accuracy and dominance efficiency of A* Branch and Bound Iterative deepening A* Automatic generation of heuristics Problem: finding a Minimum Cost Path Previously we wanted an arbitrary path to ...INTRODUCTION Hill Climbing is a heuristic search that tries to find a sufficiently good solution to the problem, according to its current position. Types of Hill climbing: • Simple Hill climbing: select first node that is closer to the solution state than current node. • Steepest-Ascent Hill climbing: examines all nodes then selects closest ...Stochastic Hill climbing is an optimization algorithm. It makes use of randomness as part of the search process. This makes the algorithm appropriate for nonlinear objective functions where other local search algorithms do not operate well. It is also a local search algorithm, meaning that it modifies a single solution and searches the ...👉Subscribe to our new channel:https://www.youtube.com/@varunainashots 🔗Link for AI notes: https://rb.gy/9kj1z👩‍🎓Contributed by: Nisha GuptaHill Climbing ...More on hill-climbing • Hill-climbing also called greedy local search • Greedy because it takes the best immediate move • Greedy algorithms often perform quite well 16 Problems with Hill-climbing n State Space Gets stuck in local maxima ie. Eval(X) > Eval(Y) for all Y where Y is a neighbor of X Flat local maximum: Our algorithm terminates ...Using Computational Intelligence • Heuristic algorithms, ... Illustrative Example Hill-Climbing (assuming maximisation) 1. current_solution = generate initialMar 25, 2018 · In the depth-first search, the test function will merely accept or reject a solution. But in hill climbing the test function is provided with a heuristic function which provides an estimate of how close a given state is to goal state. The hill climbing test procedure is as follows : 1. Sep 21, 2021 · Hill climbing algorithm in artificial intelligence. Hill Climbing Algorithm in Artificial Intelligence o Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. o It terminates when it reaches a peak value where no neighbor has a higher value. o Hill climbing ... Future of Artificial Intelligence. Undoubtedly, Artificial Intelligence (AI) is a revolutionary field of computer science, which is ready to become the main component of various emerging technologies like big data, robotics, and IoT. It will continue to act as a technological innovator in the coming years. In just a few years, AI has become a ...Description: This lecture covers algorithms for depth-first and breadth-first search, followed by several refinements: keeping track of nodes already considered, hill climbing, and beam search. We end with a brief discussion of commonsense vs. reflective knowledge. Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ... Artificial Intelligence Page 5 UNIT I: Introduction: Artificial Intelligence is concerned with the design of intelligence in an artificial device. The term was coined by John McCarthy in 1956. Intelligence is the ability to acquire, understand and apply the knowledge to achieve goals in the world.Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ...4. Uniform-cost Search Algorithm: Uniform-cost search is a searching algorithm used for traversing a weighted tree or graph. This algorithm comes into play when a different cost is available for each edge. The primary goal of the uniform-cost search is to find a path to the goal node which has the lowest cumulative cost.move. For example, we could try 3-opt, rather than a 2-opt move when implementing the TSP. Unfortunately, neither of these have proved satisfactory in practice when using a simple hill climbing algorithm. Simulated annealing solves this problem by allowing worse moves (lesser quality) to be taken some of the time. Courses. Artificial Intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think and act like humans. It involves the development of algorithms and computer programs that can perform tasks that typically require human intelligence such as visual perception, speech recognition, decision-making, and ...Hill-climbing (or gradient ascent/descent) \Like climbing Everest in thick fog with amnesia" function Hill-Climbing(problem) returns a state that is a local maximum inputs: problem, a problem local variables: current, a node neighbor, a node current Make-Node(Initial-State[problem]) loop do neighbor a highest-valued successor of current Hill-climbing Search >> Drawbacks Hill-climbing search often gets stuck for the following reasons: Local Maxima >> It is a peak that is higher than each of its neighboring states but lower than the global maximum. For 8-queens problem at local minima, each move of a single queen makes the situation worse. Ridges >> Sequence of local maxima ...Sep 21, 2021 · Hill climbing algorithm in artificial intelligence. Hill Climbing Algorithm in Artificial Intelligence o Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. o It terminates when it reaches a peak value where no neighbor has a higher value. o Hill climbing ... In artificial intelligence and machine learning, the straightforward yet effective optimisation process known as hill climbing is employed. It is a local search algorithm that incrementally alters a solution in one direction, in the direction of the best improvement, in order to improve it. Starting with a first solution, the algorithm assesses ...CSCI 5582 Artificial Intelligence. CS 2710, ISSP 2610 R&N Chapter 4.1 Local Search and Optimization * Example Local Search Problem Formulation Group travel: people traveling from different places: See chapter4example.txt on the course schedule. From Segaran, T. Programming Collective Intelligence, O’Reilly, 2007.In-and-Out of A* Algorithm • This formula is the heart and soul of this algorithm • These help in optimizing and finding the efficient path www.edureka.co In-and-Out of A* Algorithm • This parameter is used to find the least cost from one node to the other F = G + H • Responsible to find the optimal path between source and destination ...Techniques of knowledge representation. There are mainly four ways of knowledge representation which are given as follows: Logical Representation. Semantic Network Representation. Frame Representation. Production Rules. 1. Logical Representation. Logical representation is a language with some concrete rules which deals with propositions and has ...Hill-Climbing Search. It is an iterative algorithm that starts with an arbitrary solution to a problem and attempts to find a better solution by changing a single element of the solution incrementally. If the change produces a better solution, an incremental change is taken as a new solution.May 9, 2021 · Hill-climbing and simulated annealing are examples of local search algorithms. Subscribe Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. It terminates when it reaches a peak value where no neighbor has a ... • Steepest ascent, hill-climbing with limited sideways moves, stochastic hill-climbing, first-choice hill-climbing are all incomplete. • Complete: A local search algorithm is complete if it always finds a goal if one exists. • Optimal: A local search algorithm is complete if it always finds the global maximum/minimum.Artificial Intelligence Page 5 UNIT I: Introduction: Artificial Intelligence is concerned with the design of intelligence in an artificial device. The term was coined by John McCarthy in 1956. Intelligence is the ability to acquire, understand and apply the knowledge to achieve goals in the world.Simulated Annealing (SA) • SA is a global optimization technique. • SA distinguishes between different local optima. SA is a memory less algorithm, the algorithm does not use any information gathered during the search SA is motivated by an analogy to annealing in solids. Simulated Annealing – an iterative improvement algorithm. 7/23/2013 4.Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ... Hill climbing algorithm in artificial intelligence sandeep54552 4.8K views • 7 slides Hill climbing Mohammad Faizan 67.7K views • 49 slides AI Lecture 3 (solving problems by searching) Tajim Md. Niamat Ullah Akhund 3.5K views • 71 slidesFirst, let's talk about the Hill climbing in Artificial intelligence. Hill Climbing Algorithm. It is a technique for optimizing the mathematical problems. Hill Climbing is widely used when a good heuristic is available. It is a local search algorithm that continuously moves in the direction of increasing elevation/value to find the mountain's ...hill climbing algorithm with examples#HillClimbing#AI#ArtificialIntelligenceHill climbing is basically a search technique or informed search technique having different weights based on real numbers assigned to different nodes, branches, and goals in a path. In AI, machine learning, deep learning, and machine vision, the algorithm is the most important subset. With the help of these algorithms, ( What Are Artificial ...May 26, 2022 · In simple words, Hill-Climbing = generate-and-test + heuristics. Let’s look at the Simple Hill climbing algorithm: Define the current state as an initial state. Loop until the goal state is achieved or no more operators can be applied on the current state: Apply an operation to current state and get a new state. Dec 16, 2019 · 👉Subscribe to our new channel:https://www.youtube.com/@varunainashots 🔗Link for AI notes: https://rb.gy/9kj1z👩‍🎓Contributed by: Nisha GuptaThe best first... In artificial intelligence and machine learning, the straightforward yet effective optimisation process known as hill climbing is employed. It is a local search algorithm that incrementally alters a solution in one direction, in the direction of the best improvement, in order to improve it. Starting with a first solution, the algorithm assesses ...Dec 16, 2019 · 👉Subscribe to our new channel:https://www.youtube.com/@varunainashots 🔗Link for AI notes: https://rb.gy/9kj1z👩‍🎓Contributed by: Nisha GuptaThe best first... Heuristic Search Techniques. Contents • A framework for describing search methods is provided and several general purpose search techniques are discussed. • All are varieties of Heuristic Search: – Generate and test – Hill Climbing – Best First Search – Problem Reduction – Constraint Satisfaction – Means-ends analysis.Mar 4, 2021 · Introduction. Hill Climbing In Artificial Intelligence is used for optimizing the mathematical view of the given problems. Thus, in the sizable set of imposed inputs and heuristic functions, an algorithm tries to get the possible solution for the given problem in a reasonable allotted time. Hill climbing suits best when there is insufficient ... Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ...In this video we will talk about local search method and discuss one search algorithm hill climbing which belongs to local search method. We will also discus...Introduction. Hill Climbing In Artificial Intelligence is used for optimizing the mathematical view of the given problems. Thus, in the sizable set of imposed inputs and heuristic functions, an algorithm tries to get the possible solution for the given problem in a reasonable allotted time. Hill climbing suits best when there is insufficient ...Artificial Intelligence Page 5 UNIT I: Introduction: Artificial Intelligence is concerned with the design of intelligence in an artificial device. The term was coined by John McCarthy in 1956. Intelligence is the ability to acquire, understand and apply the knowledge to achieve goals in the world.Jan 27, 2018 · The application of the hill- climbing algorithm to a tree that has been generated prior to the search is illustrated in Figure 11.1. State Space Representation and Search Page 17 Figure 11.1 The hill-climbing algorithm is described below. The hill-climbing algorithm generates a partial tree/graph. الذكاء الاصطناعي خوارزمية تسلق القمة Hill Climbing algorithmخوارزميات البحث الذكية خوارزميات البحث الطماعة( الجشعة ...Sep 21, 2021 · Hill climbing algorithm in artificial intelligence. Hill Climbing Algorithm in Artificial Intelligence o Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. o It terminates when it reaches a peak value where no neighbor has a higher value. o Hill climbing ... Heuristic Search Techniques. Contents • A framework for describing search methods is provided and several general purpose search techniques are discussed. • All are varieties of Heuristic Search: – Generate and test – Hill Climbing – Best First Search – Problem Reduction – Constraint Satisfaction – Means-ends analysis.In Artificial Intelligence, Search techniques are universal problem-solving methods. Rational agents or Problem-solving agents in AI mostly used these search strategies or algorithms to solve a specific problem and provide the best result. Problem-solving agents are the goal-based agents and use atomic representation. Algorithm for Simple Hill Climbing: Step 1: Evaluate the initial state, if it is goal state then return success and Stop. Step 2: Loop Until a solution is found or there is no new operator left to ...Hill climbing algorithm in artificial intelligence sandeep54552 4.8K views • 7 slides Hill climbing Mohammad Faizan 67.7K views • 49 slides AI Lecture 3 (solving problems by searching) Tajim Md. Niamat Ullah Akhund 3.5K views • 71 slidesHill climbing algorithm in artificial intelligence sandeep54552 4.8K views • 7 slides Hill climbing Mohammad Faizan 67.7K views • 49 slides AI Lecture 3 (solving problems by searching) Tajim Md. Niamat Ullah Akhund 3.5K views • 71 slidesHeuristic Search Techniques. Contents • A framework for describing search methods is provided and several general purpose search techniques are discussed. • All are varieties of Heuristic Search: – Generate and test – Hill Climbing – Best First Search – Problem Reduction – Constraint Satisfaction – Means-ends analysis.This information can be in the form of heuristics, estimates of cost, or other relevant data to prioritize which states to expand and explore. Examples of informed search algorithms include A* search, Best-First search, and Greedy search. Example: Greedy Search and Graph Search. Here are some key features of informed search algorithms in AI:

ICS 171 Fall 2006 Summary Heuristics and Optimal search strategies heuristics hill-climbing algorithms Best-First search A*: optimal search using heuristics Properties of A* admissibility, monotonicity, accuracy and dominance efficiency of A* Branch and Bound Iterative deepening A* Automatic generation of heuristics Problem: finding a Minimum Cost Path Previously we wanted an arbitrary path to ... . We donpercent27t need no stinking badges blazing saddles gif

hill climbing algorithm in artificial intelligence with example ppt

See also Steps to Solve Problems in Artificial Intelligence. 1. Current state = (0, 0) 2. Loop until the goal state (2, 0) reached. – Apply a rule whose left side matches the current state. – Set the new current state to be the resulting state. (0, 0) – Start State. (0, 3) – Rule 2, Fill the 3-liter jug. More on hill-climbing • Hill-climbing also called greedy local search • Greedy because it takes the best immediate move • Greedy algorithms often perform quite well 16 Problems with Hill-climbing n State Space Gets stuck in local maxima ie. Eval(X) > Eval(Y) for all Y where Y is a neighbor of X Flat local maximum: Our algorithm terminates ...Apr 24, 2021 · hill climbing algorithm with examples#HillClimbing#AI#ArtificialIntelligence Hill Climbing Algorithm: Hill climbing search is a local search problem. The purpose of the hill climbing search is to climb a hill and reach the topmost peak/ point of that hill. It is based on the heuristic search technique where the person who is climbing up on the hill estimates the direction which will lead him to the highest peak.Feb 8, 2022 · Ex:- Some games like chess, hill climbing, certain design and scheduling problems. Figure 5: AI Search Algorithms Classification (Image designed by Author ) Search algorithm evaluating criteria: Hill Climbing Search Solved Example using Local and Global Heuristic Function by Dr. Mahesh HuddarThe following concepts are discussed:_____...Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ... In artificial intelligence and machine learning, the straightforward yet effective optimisation process known as hill climbing is employed. It is a local search algorithm that incrementally alters a solution in one direction, in the direction of the best improvement, in order to improve it. Starting with a first solution, the algorithm assesses ...Hill-climbing Search >> Drawbacks Hill-climbing search often gets stuck for the following reasons: Local Maxima >> It is a peak that is higher than each of its neighboring states but lower than the global maximum. For 8-queens problem at local minima, each move of a single queen makes the situation worse. Ridges >> Sequence of local maxima ...Hill climbing. A surface with only one maximum. Hill-climbing techniques are well-suited for optimizing over such surfaces, and will converge to the global maximum. In numerical analysis, hill climbing is a mathematical optimization technique which belongs to the family of local search. It is an iterative algorithm that starts with an arbitrary ...• Steepest ascent, hill-climbing with limited sideways moves, stochastic hill-climbing, first-choice hill-climbing are all incomplete. • Complete: A local search algorithm is complete if it always finds a goal if one exists. • Optimal: A local search algorithm is complete if it always finds the global maximum/minimum.Best first search algorithm: Step 1: Place the starting node into the OPEN list. Step 2: If the OPEN list is empty, Stop and return failure. Step 3: Remove the node n, from the OPEN list which has the lowest value of h (n), and places it in the CLOSED list. Step 4: Expand the node n, and generate the successors of node n. The Wumpus world is a simple world example to illustrate the worth of a knowledge-based agent and to represent knowledge representation. It was inspired by a video game Hunt the Wumpus by Gregory Yob in 1973. The Wumpus world is a cave which has 4/4 rooms connected with passageways. So there are total 16 rooms which are connected with each other.Introduction HillHill climbingclimbing. Artificial Intelligence search algorithms Search techniques are general problem-solving methods. When there is a formulated search problem, a set of states, a set of operators, an initial state, and a goal criterion we can use search techniques to solve the problem (Pearl & Korf, 1987).

Popular Topics