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Explore the development of search engines from word frequency analysis to user-focused information supply in the fourth generation. Understand the challenges, key measures, and quality evaluation criteria of search engines. Discover the significance of user happiness in search engine performance measurement. Delve into evaluating search engines using benchmarks and assessing Precision vs. Recall metrics. Gain insights into the intricate web-graph properties and the growth dynamics of the web.
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Web search engines Paolo Ferragina Dipartimento di Informatica Università di Pisa
The Web: Size: more than tens of billions of pages Language and encodings:hundreds… Distributed authorship: SPAM, format-less,… Dynamic: in one year 35% survive, 20% untouched The User: Query composition: short (2.5 terms avg) and imprecise Query results: 85% users look at just one result-page Several needs: Informational, Navigational, Transactional Two main difficulties Extracting “significant data” is difficult !! Matching “user needs” is difficult !!
Evolution of Search Engines • First generation-- use only on-page, web-text data • Word frequency and language • Second generation-- use off-page, web-graph data • Link (or connectivity) analysis • Anchor-text (How people refer to a page) • Third generation-- answer “the need behind the query” • Focus on “user need”, rather than on query • Integrate multiple data-sources • Click-through data 1995-1997 AltaVista, Excite, Lycos, etc 1998: Google Google, Yahoo, MSN, ASK,……… Fourth generation Information Supply [Andrei Broder, VP emerging search tech, Yahoo! Research]
2009 2009-12
III° generation II° generation IV° generation
Quality of a search engine Paolo Ferragina Dipartimento di Informatica Università di Pisa Reading 8
Is it good ? • How fast does it index • Number of documents/hour • (Average document size) • How fast does it search • Latency as a function of index size • Expressiveness of the query language
Measures for a search engine • All of the preceding criteria are measurable • The key measure: user happiness …useless answers won’t make a user happy
Happiness: elusive to measure • Commonest approach is given by the relevance of search results • How do we measure it ? • Requires 3 elements: • A benchmark document collection • A benchmark suite of queries • A binary assessment of either Relevant or Irrelevant for each query-doc pair
Evaluating an IR system • Standard benchmarks • TREC: National Institute of Standards and Testing (NIST) has run large IR testbed for many years • Other doc collections: marked by human experts, for each query and for each doc, Relevant or Irrelevant • On the Web everything is more complicated since we cannot mark the entire corpus !!
collection Retrieved Relevant General scenario
Precision vs. Recall • Precision: % docs retrieved that are relevant [issue “junk” found] • Recall: % docs relevant that are retrieved [issue “info” found] collection Retrieved Relevant
How to compute them • Precision: fraction of retrieved docs that are relevant • Recall: fraction of relevant docs that are retrieved • Precision P = tp/(tp + fp) • Recall R = tp/(tp + fn)
Some considerations • Can get high recall (but low precision) by retrieving all docs for all queries! • Recall is a non-decreasing function of the number of docs retrieved • Precision usually decreases
We measures Precision at various levels of Recall Note: it is an AVERAGE over many queries Precision-Recall curve precision x x x x recall
A common picture x precision x x x recall
F measure • Combined measure (weighted harmonic mean): • People usually use balanced F1 measure • i.e., with = ½ thus 1/F = ½ (1/P + 1/R) • Use this if you need to optimize a single measure that balances precision and recall.
The web-graph: properties Paolo Ferragina Dipartimento di Informatica Università di Pisa Reading 19.1 and 19.2
The Web’s Characteristics • Size • 1 trillion of pages is available (Google 7/08) • 50 billion static pages • 5-40K per page => terabytes & terabytes • Size grows every day!! • Change • 8% new pages, 25% new links change weekly • Life time of about 10 days
Some definitions • Weakly connected components (WCC) • Set of nodes such that from any node can go to any node via an undirected path. • Strongly connected components (SCC) • Set of nodes such that from any node can go to any node via a directed path. WCC SCC
Find the CORE • Iterate the following process: • Pick a random vertex v • Compute all nodes reached from v: O(v) • Compute all nodes that reach v: I(v) • Compute SCC(v):= I(v) ∩ O(v) • Check whether it is the largest SCC If the CORE is about ¼ of the vertices, after 20 iterations, Pb to not find the core < 1% (given that the graph is available).
Compute SCCs • Classical Algorithm: • DFS(G) • Transpose G in GT • DFS(GT) following vertices in decreasing order of the time their visit ended at step 1. • Every tree is a SCC. DFS is hard to compute on disk: no locality
DFS Classical Approach main(){ foreach vertex v do color[v]=WHITE endFor foreach vertex v do if (color[v]==WHITE) DFS(v); endFor } DFS(u:vertex) color[u]=GRAY d[u] time time +1 foreach v in succ[u] do if (color[v]=WHITE) then p[v] u DFS(v) endFor color[u] BLACK f[u] time time + 1
Semi-External DFS • Bit array of nodes (visited or not) • Array of successors • Stack of the DFS-recursion Key observation: If bit-array fits in internal memory than a DFS takes |V| + |E|/B disk accesses.
What about million/billion nodes? NO Key observation: A forest is a DFS forest if and only if there are no FORWARD CROSS edges among the non-tree edges Algorithm ? Construct incrementally a tentative DFS forest which minimizes the # of those edges (overall), in passes...
A Semi-External DFS • Bit array of nodes (visited or not) • Array of successors (stack of the DFS-recursion) Key assumption: We assume that 2n edges, and the auxiliary data structures, fit in memory. Rearrange nodes in adj-lists, the ones with large subtrees go to the front
Observing Web Graph • We do not know which percentage of it we know • The only way to discover the graph structure of the web is via large scale crawls • Warning: the picture might be distorted by • Size limitation of the crawl • Crawling rules • Perturbations of the "natural" process of birth and death of nodes and links
Why is it interesting? • Largest artifact ever conceived by the human • Exploit its structure of the Web for • Crawl strategies • Search • Spam detection • Discovering communities on the web • Classification/organization • Predict the evolution of the Web • Sociological understanding
Many other large graphs… • Physical network graph • V = Routers • E = communication links • The “cosine” graph (undirected, weighted) • V = static web pages • E = semantic distance between pages • Query-Log graph (bipartite, weighted) • V = queries and URL • E = (q,u) u is a result for q, and has been clicked by some user who issued q • Social graph (undirected, unweighted) • V = users • E = (x,y) if x knows y (facebook, address book, email,..)
The size of the web Paolo Ferragina Dipartimento di Informatica Università di Pisa Reading 19.5
What is the size of the web ? • Issues • The web is really infinite • Dynamic content, e.g., calendar • Static web contains syntactic duplication, mostly due to mirroring (~30%) • Some servers are seldom connected • Who cares? • Media, and consequently the user • Engine design
The relative sizes of search engines Document extension: e.g. engines index pages not yet crawled, by indexing anchor-text. Document restriction: All engines restrict what is indexed (first n words, only relevant words, etc.) The coverage of a search engine relative to another particular crawling process. What can we attempt to measure?
Sec. 19.5 AÇB Relative Size from OverlapGiven two engines A and B Sample URLs randomly from A Check if contained in B and vice versa AÇ B= (1/2) * Size A AÇ B= (1/6) * Size B (1/2)*Size A = (1/6)*Size B \ Size A / Size B = (1/6)/(1/2) = 1/3 Each test involves: (i) Sampling URL (ii) Checking URL
Sampling URLs • Ideal strategy: Generate a random URL and check for containment in each index. • Problem: Random URLs are hard to find! • Approach 1: Generate a random URL surely contained in a given search engine • Approach 2: Random walks or random IP addresses
#1: Random URL in SE via random queries • Generate random query: • Lexicon:400,000+ words from a web crawl • Conjunctive Queries: w1 and w2 e.g., vocalists AND rsi • Get 100 result URLs from engine A • Choose a random URL as the candidate to check for presence in search engine B (next slide) • This induces a probability weight W(p) for each page. • Conjecture: W(SEA) / W(SEB) ~ |SEA| / |SEB|
URL checking • Download D at address URL. • Get list of words. • Use 8 low frequency words as AND query to B • Check if D is present in result set. • Problems: • Near duplicates • Engine time-outs • Is 8-word query good enough?
Advantages & disadvantages • Statistically sound under the induced weight. • Biases induced by random query • Query bias: Favors content-rich pages in the language(s) of the lexicon • Ranking bias [Solution: Use conjunctive queries & fetch all] • Query restriction bias:engine might not deal properly with 8 words conjunctive query • Malicious bias: Sabotage by engine • Operational Problems: Time-outs, failures, engine inconsistencies, index modification.
#2: Random IP addresses • Find a web server at the given IP address • If there’s one • Collect all pages from server • From this, choose a page at random
Advantages & disadvantages • Advantages • Clean statistics • Independent of crawling strategies • Disadvantages • Many hosts might share one IP, or not accept requests • No guarantee all pages are linked to root page, and thus can be collected. • Power law for # pages/hosts generates bias towards sites with few pages.
Conclusions • No sampling solution is perfect. • Lots of new ideas ... ....but the problem is getting harder • Quantitative studies are fascinating and a good research problem
The web-graph: storage Paolo Ferragina Dipartimento di Informatica Università di Pisa Reading 20.4
Definition Directed graph G = (V,E) • V = URLs, E = (u,v) if u has an hyperlink to v Isolated URLs are ignored (no IN & no OUT) Three key properties: • Skewed distribution: Pb that a node has x links is 1/xa, a ≈ 2.1
The In-degree distribution Altavista crawl, 1999 WebBase Crawl 2001 Indegree follows power law distribution This is true also for: out-degree, size components,...