

{"id":26741,"date":"2018-08-31T05:00:30","date_gmt":"2018-08-31T05:00:30","guid":{"rendered":"https:\/\/data-flair.training\/blogs\/?p=26741"},"modified":"2026-04-29T11:45:47","modified_gmt":"2026-04-29T06:15:47","slug":"heuristic-search-ai","status":"publish","type":"post","link":"https:\/\/data-flair.training\/blogs\/heuristic-search-ai\/","title":{"rendered":"What is Heuristic Search &#8211; Techniques &amp; Hill Climbing in AI"},"content":{"rendered":"<p><span style=\"font-weight: 400\">In this <strong>Python AI tutorial<\/strong>, we will discuss the rudiments of Heuristic Search, which is an integral part of Artificial Intelligence. <\/span><\/p>\n<p><span style=\"font-weight: 400\">We will talk about different techniques like Constraint Satisfaction Problems, Hill Climbing, and Simulated Annealing. Also, we will implement CSP in Python.<\/span><\/p>\n<p><span style=\"font-weight: 400\">So, let\u2019s begin Heuristic Search in AI Tutorial.<\/span><\/p>\n<h3>What is a Heuristic Search?<\/h3>\n<p>Heuristic search is a method in AI that helps find the best path or solution quickly. Instead of checking all options, it uses rules or guesses to find answers faster. Python helps us write programs that use heuristic search in games, robots, and planning tools.<\/p>\n<p>Python supports many search algorithms like A*, Greedy Search, and Hill Climbing. These methods are used to solve problems like puzzle games, route planning, and decision-making in real-time systems. Libraries like networkx help visualize search paths and graphs. Heuristics make AI programs smarter by reducing the time and effort needed to reach the goal.<\/p>\n<p>Using Python for heuristic search lets you explore problems where the solution is hidden in a big space. For example, in a maze, you don\u2019t need to try every path. Heuristics guide the program to look where the solution is most likely to be. This makes the process fast and efficient, saving memory and time.<\/p>\n<p>So <em>why do we need heuristics<\/em>? One reason is to produce, in a reasonable amount of time, a solution that is good enough for the problem in question. It doesn\u2019t have to be the best- an approximate solution will do since this is fast enough.<\/p>\n<p><span style=\"font-weight: 400\">Most problems are exponential. Heuristic Search let us reduce this to a rather polynomial number. We use this in AI because we can put it to use in situations where we can\u2019t find known algorithms.<\/span><\/p>\n<p><span style=\"font-weight: 400\">We can say Heuristic Techniques are weak methods because they are vulnerable to combinatorial explosion.<\/span><\/p>\n<h3>Heuristic Search Techniques in Artificial Intelligence<\/h3>\n<p><span style=\"font-weight: 400\">Briefly, we can taxonomize such techniques of Heuristic into two categories:<\/span><\/p>\n<div id=\"attachment_26807\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-26807\" class=\"wp-image-26807 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01.jpg\" alt=\"Heuristic Search\" width=\"1200\" height=\"628\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01.jpg 1200w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01-150x79.jpg 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01-300x157.jpg 300w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01-768x402.jpg 768w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Heuristic-Search-Techniques-in-Artificial-Intelligence-01-1024x536.jpg 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/a><p id=\"caption-attachment-26807\" class=\"wp-caption-text\">Heuristic Search Techniques in Artificial Intelligence<\/p><\/div>\n<h4>a. Direct Heuristic Search Techniques in AI<\/h4>\n<p><span style=\"font-weight: 400\">Other names for these are Blind Search, Uninformed Search, and Blind Control Strategy. These aren\u2019t always possible since they demand much time or memory. <\/span><\/p>\n<p><span style=\"font-weight: 400\">They search the entire state space for a solution and use an arbitrary ordering of operations. Examples of these are Breadth First Search (BFS) and Depth First Search (DFS).<\/span><\/p>\n<h4>b. Weak\u00a0Heuristic Search\u00a0Techniques in AI<\/h4>\n<p><span style=\"font-weight: 400\">Other names for these are Informed Search, Heuristic Search, and Heuristic Control Strategy. These are effective if applied correctly to the right types of tasks and usually demand domain-specific information. <\/span><\/p>\n<p><span style=\"font-weight: 400\">We need this extra information to compute preference among child nodes to explore and expand. Each node has a heuristic function associated with it. Examples are Best First Search (BFS) and A*.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Before we move on to describe certain techniques, let\u2019s first take a look at the ones we generally observe. Below, we name a few.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Best-First Search<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">A* Search<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Bidirectional Search<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Tabu Search<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Beam Search<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Simulated Annealing<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Hill Climbing<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Constraint Satisfaction Problems<\/span><\/li>\n<\/ul>\n<h3>Hill Climbing in Artificial Intelligence<\/h3>\n<p><span style=\"font-weight: 400\">First, let\u2019s talk about Hill Climbing in<\/span> Artificial Intelligence<span style=\"font-weight: 400\">. This is a heuristic for optimizing problems mathematically. We need to choose values from the input to maximize or minimize a real function. It is okay if the solution isn\u2019t the global optimal maximum.<\/span><\/p>\n<div id=\"attachment_26805\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-26805\" class=\"wp-image-26805 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01.jpg\" alt=\"Heuristic Search Techniques\" width=\"1200\" height=\"628\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01.jpg 1200w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01-150x79.jpg 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01-300x157.jpg 300w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01-768x402.jpg 768w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Hill-Climbing-in-AI-01-1024x536.jpg 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/a><p id=\"caption-attachment-26805\" class=\"wp-caption-text\">Heuristic Search Techniques &#8211; Hill Climbing<\/p><\/div>\n<p><span style=\"font-weight: 400\">One such <em>example of Hill Climbing<\/em> will be the widely discussed Travelling Salesman Problem- one where we must minimize the distance he travels.<\/span><\/p>\n<h4>a. Features of Hill Climbing in AI<\/h4>\n<p><span style=\"font-weight: 400\">Let\u2019s discuss some of the features of this algorithm (Hill Climbing):<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">It is a variant of the generate-and-test algorithm<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">It makes use of the greedy approach<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">This means it keeps generating possible solutions until it finds the expected solution, and moves only in the direction that optimizes the cost function for it.<\/span><\/p>\n<h4>b. Types of Hill Climbing\u00a0in AI<\/h4>\n<div id=\"attachment_26806\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-26806\" class=\"wp-image-26806 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01.jpg\" alt=\"Heuristic Search\" width=\"1200\" height=\"628\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01.jpg 1200w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01-150x79.jpg 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01-300x157.jpg 300w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01-768x402.jpg 768w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/Types-of-Hill-Climbing-01-1024x536.jpg 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/a><p id=\"caption-attachment-26806\" class=\"wp-caption-text\">Heuristic Search &#8211; Types of Hill Climbing in Artificial Intelligence<\/p><\/div>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Simple Hill Climbing-<\/strong> This examines one neighboring node at a time and selects the first one that optimizes the current cost to be the next node.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Steepest Ascent Hill Climbing-<\/strong> This examines all neighboring nodes and selects the one closest to the solution state.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Stochastic Hill Climbing-<\/strong> This selects a neighboring node at random and decides whether to move to it or examine another.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">Let\u2019s take a look at the algorithm for simple hill climbing.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Evaluate initial state- if goal state, stop and return success. Otherwise, make the initial state current.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Loop until the solution is reached or until no new operators are left to apply to the current state:<\/span><\/li>\n<\/ol>\n<p><strong>a. Select a new operator to apply to the current producing new state.<\/strong><\/p>\n<p><strong>b. Evaluate new state:<\/strong><\/p>\n<ul>\n<li><span style=\"font-weight: 400\"> If a goal state, stop and return success.<\/span><\/li>\n<li><span style=\"font-weight: 400\"> If better than the current state, make it the current state, proceed.<\/span><\/li>\n<li><span style=\"font-weight: 400\">Even if not better than the current state, continue until the solution is reached.<\/span><\/li>\n<\/ul>\n<ol start=\"3\">\n<li><span style=\"font-weight: 400\"> Exit.<\/span><\/li>\n<\/ol>\n<h4>c. Problems with Hill Climbing\u00a0in AI<\/h4>\n<p><span style=\"font-weight: 400\">We usually run into one of three issues-<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Local Maximum-<\/strong> All neighboring states have values worse than the current. The greedy approach means we won\u2019t be moving to a worse state. This terminates the process even though there may have been a better solution. As a workaround, we use backtracking.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Plateau-<\/strong> All neighbors to it have the same value. This makes it impossible to choose a direction. To avoid this, we randomly make a big jump.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><strong>Ridge-<\/strong> At a ridge, movement in all possible directions is downward. This makes it look like a peak and terminates the process. To avoid this, we may use two or more rules before testing.<\/span><\/li>\n<\/ul>\n<h3>Constraint Satisfaction Problems (CSP) in AI<\/h3>\n<p><span style=\"font-weight: 400\">A constraint is nothing but a limitation or a restriction. <strong>Working with AI<\/strong>, we may need to satisfy some constraints to solve problems. Let\u2019s try solving a problem this way, shall we?<\/span><\/p>\n<p><strong>Common applications of CSP include:<\/strong><\/p>\n<ul>\n<li><strong>Scheduling:<\/strong> It assigns resources like employees and equipment at the right time and when it is available.<\/li>\n<li><strong>Planning:<\/strong> It helps in organising tasks in sequence and with specific deadlines.<\/li>\n<li><strong>Allocation of resources:<\/strong> Without any overuse, the resources are distributed efficiently.<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">Let\u2019s talk about a magic square. This is a sequence of numbers- usually integers- arranged in a square grid. The numbers in each row, each column, and each diagonal all add up to a constant, which we call the <\/span><i><span style=\"font-weight: 400\">Magic Constant<\/span><\/i><span style=\"font-weight: 400\">. Let\u2019s implement this with Python.<\/span><\/p>\n<pre class=\"EnlighterJSRAW\">def magic_square(matrix):\r\n   size=len(matrix[0])\r\n   sum_list=[]\r\n   for col in range(size): #Vertical sum\r\n       sum_list.append(sum(row[col] for row in matrix))\r\n   sum_list.extend([sum(lines) for lines in matrix])#Horizontal sum\r\n   result1=0\r\n   for i in range(0,size):\r\n       result1+=matrix[i][i]\r\n   sum_list.append(result1)\r\n   result2=0\r\n   for i in range(size-1,-1,-1):\r\n       result2+=matrix[i][i]\r\n   sum_list.append(result2)\r\n   if len(set(sum_list))&gt;1:\r\n       return False\r\n   return True<\/pre>\n<p><span style=\"font-weight: 400\">Now let\u2019s run this code.<\/span><\/p>\n<pre class=\"EnlighterJSRAW\">&gt;&gt;&gt; magic_square([[1,2,3],[4,5,6],[7,8,9]])<\/pre>\n<p><strong>False<\/strong><br \/>\n<span style=\"font-weight: 400\">This is not a magic square. The numbers in the rows\/columns\/diagonals do not add up to the same value. Let\u2019s try another list of lists.<\/span><\/p>\n<pre class=\"EnlighterJSRAW\">&gt;&gt;&gt; magic_square([[2,7,6],[9,5,1],[4,3,8]])<\/pre>\n<p><strong>True<\/strong><\/p>\n<div id=\"attachment_26780\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-26780\" class=\"wp-image-26780 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square.png\" alt=\"Heuristic Search\" width=\"1200\" height=\"933\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square.png 1200w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square-150x117.png 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square-300x233.png 300w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square-768x597.png 768w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/08\/magic-square-1024x796.png 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/a><p id=\"caption-attachment-26780\" class=\"wp-caption-text\">Heuristic Search &#8211; Magic<\/p><\/div>\n<p><span style=\"font-weight: 400\">Since the values add up to the constant 15 in all directions, surely, this is a magic square!<\/span><\/p>\n<h3>Simulated Annealing Heuristic Search in AI<\/h3>\n<p><span style=\"font-weight: 400\">In metallurgy, when we slow-cool metals to pull them down to a state of low energy gives them exemplary amounts of strength. We call this annealing. While high temperatures exhibit much random movement, low temperatures show little randomness.<\/span><\/p>\n<p><span style=\"font-weight: 400\">In AI, we take a cue from this to produce something called simulated annealing. This is a way of optimization where we begin with a random search at a high temperature and reduce the temperature slowly. <\/span><\/p>\n<p><span style=\"font-weight: 400\">Eventually, as the temperature approaches zero, the search becomes pure greedy descent. At each step, this process randomly selects a variable and a value. It accepts the assignment only when it is an improvement or doesn\u2019t lead to more conflict. <\/span><\/p>\n<p><span style=\"font-weight: 400\">If not, it checks if the temperature is much worse than the current assignment to accept the assignment with some probability.<\/span><\/p>\n<p><span style=\"font-weight: 400\">An annealing schedule defines how the temperature drops as the search progresses. A very common schedule is geometric cooling. If we begin with a temperature of 10 and multiply by 0.97 after every step, then after 100 steps, we\u2019re left with a temperature of 0.48.<\/span><\/p>\n<h3>Best-First Search (BFS) in AI<\/h3>\n<p><span style=\"font-weight: 400\">Often dubbed BFS, Best First Search is an informed search that uses an evaluation function to decide which adjacent is the most promising before it can continue to explore. Breadth- and Depth- First Searches blindly explore paths without keeping a cost function in mind. <\/span><\/p>\n<p><span style=\"font-weight: 400\">Things aren\u2019t the same with BFS, though. Here, we use a priority queue to store node costs. Let\u2019s understand BFS Heuristic Search through pseudocode.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Define list OPEN with a single node <\/span><i><span style=\"font-weight: 400\">s<\/span><\/i><span style=\"font-weight: 400\">&#8211; the start node.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">If the list is empty, return failure.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Remove node <\/span><i><span style=\"font-weight: 400\">n<\/span><\/i><span style=\"font-weight: 400\"> (node with best score) from the list, and move it to list CLOSED.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Expand node <\/span><i><span style=\"font-weight: 400\">n<\/span><\/i><span style=\"font-weight: 400\">.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">IF any successor to <\/span><i><span style=\"font-weight: 400\">n<\/span><\/i><span style=\"font-weight: 400\"> is the goal node, return success and trace the path from the goal node to <\/span><i><span style=\"font-weight: 400\">s<\/span><\/i><span style=\"font-weight: 400\"> to return the solution.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">FOR each successor node:<\/span><\/li>\n<\/ol>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Apply the evaluation function <\/span><i><span style=\"font-weight: 400\">f<\/span><\/i><span style=\"font-weight: 400\">.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">IF the node isn\u2019t in either list, add it to list OPEN.<\/span><\/li>\n<\/ul>\n<ol start=\"7\">\n<li><span style=\"font-weight: 400\"> Loop to step 2.<\/span><\/li>\n<\/ol>\n<p>So, this was all in Heuristic Search Techniques in AI. Hope you like our explanation.<\/p>\n<h3>Conclusion<\/h3>\n<p><span style=\"font-weight: 400\">Hence, in this Python AI tutorial, we discussed the Heuristic Search in AI. While we named a few techniques that fall under that, we also discussed, in brief, those like BFS, Hill Climbing, Simulated Annealing, and CSP. <\/span><\/p>\n<p><span style=\"font-weight: 400\">We also implemented CSP in Python. <\/span><span style=\"font-weight: 400\">Still, if you have any queries about Heuristic Search Techniques, feel free to ask in the comments tab.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this Python AI tutorial, we will discuss the rudiments of Heuristic Search, which is an integral part of Artificial Intelligence. We will talk about different techniques like Constraint Satisfaction Problems, Hill Climbing, and&#46;&#46;&#46;<\/p>\n","protected":false},"author":5,"featured_media":26799,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11,46],"tags":[5616,5618,5619,5620,5621,5623,5624,10196],"class_list":["post-26741","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-artificial-intelligence","category-python","tag-heuristic-function","tag-heuristic-search","tag-heuristic-search-algorithm","tag-heuristic-search-in-ai","tag-heuristic-search-techniques","tag-heuristic-search-types","tag-heuristic-techniques","tag-properties-of-heuristic-function"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What is Heuristic Search - Techniques &amp; Hill Climbing in AI - DataFlair<\/title>\n<meta name=\"description\" content=\"Heuristic search is a method in AI that helps find the best path quickly. 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