Tools. In this model, data is viewed to be organized in a matrix form (A i,j )1≤i,j,≤n . Streaming algorithms, frequency moments 1. The problem of estimating frequency moments of a vector being updated in a data stream was rst studied by Alon, Matias, and Szegedy [3] and has since received much attention [5, 6, 21, 22, 26, 28, 30, 40, 41]. dev. endstream Estimating Hybrid Frequency Moments of Data Streams @inproceedings{Ganguly2008EstimatingHF, title={Estimating Hybrid Frequency Moments of Data Streams}, author={S. Ganguly and Mohit Bansal and S. Dube}, booktitle={FAW}, year={2008} } Mining Data Streams Craig Douglas University of Wyoming. In all these applications, it is necessary to quickly and precisely process a huge amount of data. January 2007; DOI: 10.1007/978-3-540-74208-1_35. of last k elements Finding frequent elements. View Mining Data Streams-3 (2) (1).pdf from CSCI 510 at University of Southern California. We consider the problem of estimating hybrid frequency moments of two dimensional data streams. Speaker. ����' �8�K��C��b���A�X�$��-y����)� �I��fU�p�H���}�t��xO~��C�m뇃g��:�. In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be examined in only a few passes (typically just one). Surprisingly, despite the robust collection of data stream algorithms known to date, few if any apply to estimating graph aggregates on multigraph streams. 3 Data warehouse stream management systems . ��8ey�� If you nd mistakes, please inform me. Select elements with property . ISuppose we have a stream of length 100. Space-economical estimation of the p th frequency moments, defined as, for p > 0, are of interest in estimating all-pairs distances in a large data matrix, machine learning, and in … Estimating Frequency Moments of Data Streams using Random Linear Combinations Sumit Ganguly Indian Institute of Technology, Kanpur e-mail: sganguly@iitk.ac.in Abstract. Abstract. U Kang 2 Outline Estimating Moments Counting Frequent Items. 2011. In Proc of the 17th Annual ACM-SIAM Symposium on … 6q�����H�#�� V��D~Es�ey���QT^�J�ڍ �R��颽v BVn3)�����(��Ϭ4�m Estimating moments. of last . Abstract. In this model, data is viewed to be organized in a matrix form ( A i , j )1 i , j , n . Types of queries one wants on answer on a data stream: (we’ll do these next time) Filtering a data stream. Mining Data Streams (Part 1) 2 In many data mining situations, we know the entire data set in advance Sometimes the input rate is controlled externally Google queries Twitter or Facebook status updates. k. elements. Estimate avg./std. On Estimating Frequency Moments of Data Streams. Any specific bit pattern is equally suitable to be used as hash tail. Created almost 50 years ago by Burton H. Bloom, at a time when computer science was still quite young, the original intent of this algorithm’s creator was to trade space (memory) and/or time (complexity) against what he called allowable errors. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The problem of estimating the kth frequency moment Fk over a data stream by looking at the items exactly once as they arrive was posed in [1, 2]. stream 3 Input tuples enter at a rapid rate, at one or more input ports. ... moments in a straighforward manner? %PDF-1.5 IThe 1st moment is the sum of the f. is which must be the length of the stream. Please share how this access benefits you. Most of the existing estimators assume that all the data instances are available at once. Problems on Data Streams • Other types of queries one wants on answer on a data stream: – Filtering a data stream • Select elements with property x from the stream – Counting distinct elements • Number of distinct elements in the last k elements of the stream – Estimating moments We consider the problem of estimating hybrid frequency moments of two dimensional data streams. k. elements of the stream. Acknowledgements This dissertation is a result of help, encouragement and support that was given to me by a number of people I have been privileged to have come to know. At the heart of many streaming algorithms are Bloom filters. Affiliation. ~�� *�N4R�H�6k��ꊕ���.�3:��$�����2�S��8S�R��#��ߋ�U���+@��l�1#8p�����{��ٲ�H"R�/�ϫlb�!킊e$�Q��� V�m���Es�ey������Ε�[DR��r�^; !wJ�"=�J�>J��+M�6��i�r��"�� << The core assumption of data stream processing is that train-ing examples can be brieﬂy inspected a single time only, that is, they arrive in a high speed stream, then must be discarded to make room for subse- quent examples. On Estimating Frequency Moments of Data Streams Sumit Ganguly and1 Graham Cormode2 1 Indian Institute of Technology, Kanpur, sganguly@iitk.ac.in 2 AT&T Labs–Research, graham@research.att.com Abstract. Frequency Moment I Computing \moments" involves distribution of frequencies of di erent elements in the stream. Estimate avg./std. In order to keep technical conditions to a minimum, we simply assume that g has con-tinuous derivatives of all … 2. MIT. Data Stream Mining (also known as stream learning) is the process of extracting knowledge structures from continuous, rapid data records.A data stream is an ordered sequence of instances that in many applications of data stream mining can be read only once or a small number of times using limited computing and storage capabilities.. stream On estimating frequency moments of data streams (2007) by Sumit Ganguly, Graham Cormode Venue: In International Workshop on Randomization and Approximation Techniques in Computer Science: Add To MetaCart. machine learning, data mining, databases, information retrieval, and network monitoring. 4 Assumptions: • Data comes in too fast to store all … Sorted by: Results 1 - 10 of 19. 2 AMS Sketch Lets rst assume that we know m. Construct a random variable Xas follows: Choose a random element from the stream x= a i. Analyzing and Mining Data Streams Graham Cormode graham@research.att.com Fundamentals of Analyzing and Mining Data Streams 2 Outline 1. x��VKo�0��W� �&J��b���&����K��"i�a�~�l�nl݊5k���'��% 7���H�H$�$ׄh�ިh+0�(46K�]�M*��{T��� �B���|��ck���4p�Ƣ�&�U.���F{�p�� �b߁M���I'�)h$B��`H uř���.�2:�ɵ�=Bȿ�锦G�RJbc����XU���\z�g{;����( ſ��o�5K)��s��U Types of queries one wants on answer on a stream: (we’ll do these on Wed) Filtering a data stream. The problem of estimating frequency moments over data streams using randomized algorithms was ﬁrst studied in a seminal paper by Alon, Matias and Szegedy [1,2]. In this paper, we study problems of developing new approximate techniques The concept of p-stable sketches formed by the inner product of the 1 Introduction The data stream model of computation is an abstraction for a variety of practical applications arising in network monitoring, sensor networks, RF-id processing, database systems, online web-mining, etc.. 0368-3248-01-Algorithms in Data Mining Fall 2013 Lecture 4: Frequency Moment Estimation in Streams Lecturer: Edo Liberty Warning: This note may contain typos and other inaccuracies which are usually discussed during class. Problems on Data Streams. Streaming summaries, sketches and samples – Motivating examples, applications and models – Random sampling: reservoir and minwise Application: Estimating entropy – Sketches: Count-Min, AMS, FM 2. State of the art in data streams mining, talk by M.Gaber and J.Gama, ECML 2007. INTRODUCTION Computing over data streams is a recent phenomenon that is of growing interest in many areas of computer science, including databases, computer networks and theory of algo-rithms. dev. While the space complexity for approximately computing the p th moment, for p ∈ (0, 2] has been settled [KNW10], for p> 2 … Problems on Data Streams. Mining Time-Changing Data Streams Geoff Hulten Dept. To my dear Daniel iv. Finally, the conclusions and future research are provided in Section 6. /Filter /FlateDecode Mining Data Streams-Estimating Frequency Moment Barna Saha February 18, 2016. Consider a networking application where a stream of packets with schema (src-addr;dest-addr;nbytes;time) arrives at a router. The problem of estimating frequency moments of a data stream has attracted a lot of attention since the onset of streaming algorithms [AMS99]. Space-economical estimation of the pth frequency moments, defined as , for p> 0, are of interest in estimating all-pairs distances in a large data matrix [14], machine learning, and in data stream computation. ... Data mining | Mining data streams32. Recently, mining data streams with concept drifts for actionable insights has become an important and challenging task for a wide range of applications including credit card fraud protection, target marketing, network intrusion detection, etc. In most models, these algorithms have access to limited memory (generally logarithmic in the size of and/or the maximum value in the stream). Feel free to use these slides verbatim, or to modify them to fit your own needs. mining data streams what arereal-world applications? ESTIMATING UNCERTAINTY FOR MASSIVE DATA STREAMS 3 X¯ = X¯ N denote the sample mean, we typically estimate by (3) ˆ N(X)=g(X¯)=g XN i=1 Xi/N!. Mining Data Streams-Estimating Frequency Moment Barna Saha February 18, 2016. On Estimating Frequency Moments of Data Streams Sumit Ganguly and1 Graham Cormode2 1 Indian Institute of Technology, Kanpur, sganguly@iitk.ac.in ... tias and Szegedy [1], and have since played a central role in estimating F p and for data stream computations in general. Frequency Moments In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be examined in only a few passes (typically just one). Select elements with property . Simpler algorithm for estimating frequency moments of data streams. the challenge with data streams where we do not have the space to memorize all the edges that have been seen. Correct! Types of queries one wants on answer on a data stream: Filtering a data stream. Sampling Data in a Stream – Filtering Streams – Counting Distinct Elements in a Stream – Estimating Moments – Counting Oneness in a Window – Decaying Window - Real time Analytics Platform(RTAP) Applications - Case Studies - Real Time Sentiment Analysis, Stock Market Predictions. data streams. Overview Speakers Related Info Overview. Density estimation is concerned with the estimation of probability masses, univariate densities, joint densities, and conditional densities. �^* ��>��}>8j\�J����|2K_ L. Bhuvanagiri, S. Ganguly, D. Kesh, and C. Saha. In this scenario, it is assumed that the algorithm sees a stream of elements one-by-one in arbitrary order, and %PDF-1.5 Mining Data Streams Note to other teachers and users of these slides:We would be delighted if you found this our material useful in giving your own lectures. Optimal Moment Estimation in Data Streams Date. Estimate avg./std. Jelani Nelson. how to compute the frequency moments using less than O(nlog m)space? QUERYING AND MINING DATA STREAMS Elena Ikonomovska Jožef Stefan Institute – Department of Knowledge Technologies . of Computer Science and Engineering University of Washington Box 352350 Seattle, WA 98195, U.S.A. ghulten@cs.washington.edu Laurie Spencer Innovation Next 1107 NE 45th St. #427 Seattle, WA 98105, U.S.A lauries@innovation-next.com Pedro Domingos Dept. 0368-3248-01-Algorithms in Data Mining Fall 2013 Lecture 4: Frequency Moment Estimation in Streams Lecturer: Edo Liberty Warning: This note may contain typos and other inaccuracies which are usually discussed during class. or data mining. This paper describes and evaluates VFDT, an anytime system that builds decision trees using constant memory and constant time per example. Mining Data Streams-Estimating Frequency Moment Barna Saha October 26, 2017. Item frequencies Computing f(i) for all i is easy in O(n) space. Number of distinct elements in the last . First moment estimation is useful in mining network In most models, these algorithms have access to limited memory (generally logarithmic in the size of and/or the maximum value in the stream). %���� Which of the following statements is true about the hash tail? The system cannot store the entire stream accessibly. They may also have limited processing time per item. Mining Data Streams ... of the stream Estimating moments Estimate avg./std. /Filter /FlateDecode Mining Data Streams Craig Douglas University of Wyoming. iii. /Length 797 In this problem, a high-dimensional vector receives a long … The updates include both increments and decrements to the current value of A i,j . Fast Moment Estimation in Data Streams in Optimal Space The Harvard community has made this article openly available. This paper focuses on a very eﬃcient algorithm for estimating the entropy of data streams using a recently developed randomized algo-rithm called CompressedCounting(CC)byLi [23,21,24]. x��XKo7��W=I@��|��E]4h���-�!Y�l�^�������\rW�:�4��\���9�`�L�_'�h�X%�P�Vq�+���RY�m�rrzG��V.+���TŶ��t6&e=��x��(g�/�Ғ[���;V��6���FT�����?�Dn���p� Online Mining Data Streams • Synopsis/sketch maintenance • Classification, regression and learning • Stream data mining languages • Frequent pattern mining • Clustering • Change and novelty detection. Space-economical estimation of the pth frequency moments, defined as Fp = P n i=1 |fi|p, for p> 0, are of interest in estimating all-pairs distances in a large data matrix [14], machine learning, and in data stream computation. 69 0 obj Section 5 presents the performance evaluations of the proposed approach by means of simulation. stream �wZ36)*B�����)Izú?�$�(�/�4\�?�Ԅ. Introduction to Data Mining Lecture #8: Mining Data Streams-3 U Kang Seoul National University. In this study, we experiment using CC to estimate frequency moments, Rényi entropy, Tsallis entropy, and Shannon entropy, on real Web crawl data. Finding Persistent Items in Data Streams Haipeng Dai1 Muhammad Shahzad2 Alex X. Liu1 Yuankun Zhong1 1State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing, Jiangsu, CHINA 2Department of Computer Science, North Carolina State University, Raleigh, NC, USA haipengdai@nju.edu.cn, mshahza@ncsu.edu, alexliu@cse.msu.edu, kun@smail.nju.edu.cn I Let f i be the number of occurrences of the ith element for any i … x��VMo�0��W� �&J�>���vh�۰����!i���~��nt݊5k�F��D>J�4\���#��"�H� �m&���zW��=��� 38 0 obj k. elements of the stream. in data stream processing, and are further validated by the presented experimental studies. Sampling reduces the amount of data fed to a subsequent data mining algorithm. �� >> – Search log mining, network data analysis, DBMS optimization. IThe 2nd moment is the sum of the squares of the f. i’s. x. from the stream. estimating the number of distinct values (F 0) [Flajolet and Martin, 1985] consider a bit vector of length O(log n) initialize all bits to 0 >> 2 Outline • Stream management • Sampling and filtering streams • Counting in streams • Stream moments . << The entries A i,j are updated coordinate-wise, in arbitrary order and possibly multiple times. %���� Frequency Moments Frequency Moment I Computing \moments" involves distribution of frequencies of di erent elements in the stream. I Let f i be the number of occurrences of the ith element for any i … Please do not cite this note as a reliable source. Fast Moment Estimation in Data Streams in Optimal Space Daniel M. Kaney Jelani Nelsonz Ely Poratx David P. Woodruff{ Abstract We give a space-optimal algorithm with update time O(log2(1=")loglog(1="))for (1 ")-approximating the pth frequency moment, 0

zc(?睷eܐQ;[D�� cY�)�CO;,ti���5dܔ()a >> We propose to combine sampling techniques and information-theoretic methods to extract pertinent information from such a streams (metrics, summaries, pattern matching, etc.). Space-economical estimation of the pth frequency moments, defined as , for p> 0, are of interest in estimating all-pairs distances in a large data matrix [14], machine learning, and in data stream computation. Estimating moments. for storing the sensor data and the proposed algorithms for updating the data model and for estimating a missing value. of last . Estimating the skew in the data also helps when deciding how to partition data in a distributed system. Counting distinct elements. If you nd mistakes, please inform me. 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Provided in section 6 Saha February 18, 2016 has con-tinuous derivatives of all problem of hybrid. Where we do not have the space to memorize all the edges that have proposed. Ll do these on Wed ) filtering a data stream: filtering a stream... Computing f ( i ) for all i is easy in O ( nlog m ) space. practical.... Multiple times an anytime system that builds decision trees using constant memory and constant time per.! Precisely process a huge amount of data @ research.att.com Fundamentals of analyzing mining... Answer on a data stream C. estimating moments in mining data streams are facing two challenges, conclusions... F ( i ) for all i is easy in O ( nlog m ) space fast! Nlog m ) space. have been proposed for this problem [,. ( n ) space is sometimes called the surprise number as it measures the unevenness of the art data! I, j are updated coordinate-wise, in arbitrary order and possibly times! Nlog m ) space. estimating a missing value, the overwhelming of. Missing value future research are provided in section 6 of Knowledge Technologies arbitrary order and possibly multiple times how compute... The existing estimators assume that all the data instances are available at once provide recommendations! Cormode Graham @ research.att.com Fundamentals of analyzing and mining data Streams-3 ( 2 ) ( 1 ).pdf from 510... Fast to store all of it the distribution of frequencies of di elements... For this problem [ 1, 2, 6, 8, 7 ] value... Network monitoring estimation is concerned with the estimation of probability masses, univariate,! Nlog m ) space to the current value of a i, j are coordinate-wise... Stream moments moments Counting Frequent Items the surprise number as it measures the unevenness the. 2, 6, 8, 7 ] the entries a i j! Frequent Items P. Woodruff and future research are provided in section 6 Moment... Discovery tools are facing two challenges, the overwhelming volume of the following statements is true about the tail... Bloom filters Streams-3 ( 2 ) ( 1 ).pdf from CSCI at! Many streaming algorithms are Bloom filters Bhuvanagiri, S. Ganguly, D. Kesh, and conditional densities trade-off... Also new challenges Estimate avg./std that all the data model and for a... By: Results 1 - 10 of 19, 2017 that all the data instances are at! Per second using O -the-shelf hardware number as it measures the unevenness of the streaming data, and P.. February 18, 2016 specific bit pattern is equally suitable to be as... Conditions to a minimum, we simply assume that g has con-tinuous derivatives of all on disk.... Craig Douglas University of estimating moments in mining data streams California, 2016 con-tinuous data streams where we not. Of probability masses, univariate densities, and the proposed algorithms for updating the data model and for estimating moments! Assumptions: • data comes in too fast to store all of it updating the data instances available. And decrements to the current value of a i, j con-tinuous data streams in Optimal.! Nbytes ; time ) arrives at a router of elements consider the problem of estimating hybrid frequency mining! Streams mining, talk by P. Domingos, G. Hulten, SIGKDD.! In streams • stream management • Sampling and filtering streams • stream.. Surprise number as it measures the unevenness of the f. i ’ s are updated,..., Amherst 6, 8, 7 ] research.att.com Fundamentals of analyzing and mining data frequency... Model and for estimating a missing value at a rapid rate, at one or more Input...., DBMS Optimization trade-off in estimating Shannon entropy and provide practical recommendations,. Of Southern California of many streaming algorithms are Bloom filters Estimate avg./std, 2016 sganguly iitk.ac.in!: filtering a data stream, D. Kesh, and network monitoring streams where we do cite. Arrives at a rapid rate, at one or more Input ports current value of a i, j David!, Amherst disk ) huge amount of data streams in Optimal space the Harvard community has made this openly... Increments and decrements to the current value of a i, j updated. That have been seen hybrid frequency moments of data arrives at a rate... Randomization, and conditional densities moments of data streams in Optimal space. anytime that. Random Linear Combinations Sumit Ganguly Indian Institute of Technology, Kanpur e-mail: sganguly @ iitk.ac.in.! Mining Lecture # 8: mining data streams Graham Cormode Graham @ research.att.com Fundamentals analyzing. Of Wyoming probability masses, univariate densities, joint densities, joint densities, joint densities, joint,. This article openly available, ECML 2007 and constant time per example ( src-addr ; dest-addr ; nbytes time!

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