By Sean Owen, Sandy Ryza, Uri Laserson, Josh Wills
During this sensible e-book, 4 Cloudera information scientists current a suite of self-contained styles for acting large-scale info research with Spark. The authors carry Spark, statistical equipment, and real-world info units jointly to coach you ways to method analytics difficulties via example.
You'll commence with an advent to Spark and its environment, after which dive into styles that practice universal techniques—classification, collaborative filtering, and anomaly detection between others—to fields similar to genomics, defense, and finance. when you've got an entry-level realizing of computer studying and records, and also you application in Java, Python, or Scala, you'll locate those styles helpful for engaged on your individual info applications.
- Recommending song and the Audioscrobbler facts set
- Predicting wooded area disguise with selection trees
- Anomaly detection in community site visitors with K-means clustering
- knowing Wikipedia with Latent Semantic Analysis
- examining co-occurrence networks with GraphX
- Geospatial and temporal info research at the manhattan urban Taxi journeys data
- Estimating monetary probability via Monte Carlo simulation
- studying genomics information and the BDG project
- interpreting neuroimaging information with PySpark and Thunder
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Additional resources for Advanced Analytics with Spark: Patterns for Learning from Data at Scale
However, we should remember that diff decreases the vector size by 1, so we should rectify the length at each differentiation step by either of the two methods discussed earlier. The following example describes this process x=[0:h:1+h]; y=func(x); ddxofy=diff(y)/h; x1=1/ 2 (x(1:end-1)+x(2:end)); d2dx2y=diff(ddxofy)/h; x2=1/ 2 (x1(1:end-1)+x1(2:end)); 30 CHAPTER 3 N NUMERICAL TECHNIQUES Integration In a discrete simulation environment, definite integration is just a fine summation. For example, consider the following function, f(x) = sin 2x 1 and the integral I ³ sin 2 xdx , which gives the area under the curve in Figure 3-2(a), and which can be approximated 0 by the shaded area in Figure 2(b).
Let us compute the derivative of the function f x e x sin x . We will first choose a value of h and then compute 1 ª f x h f x º¼ as the derivative. 01:1]. 01;xrange=0:h:1; for x=xrange ddxofy(i)= 1/h*(func(x+h)-func(x)); y(i)=func(x);i=i+1; end plot(xrange,y); hold on; plot(xrange,ddxofy); Figure 3-1 shows the output MATLAB displays. We can see that even if we don’t know the analytic form of the derivative, we can see the behavior of the derivative and can easily find its value at any x.
When you need to store data of a different type, it is advisable to create a new variable. 26 CHAPTER 3 Numerical Techniques In practical real life engineering designs, we often come across problems which consist of numerical operations such as integration or differentiation. For example, in a standard tracing of a robotic arm, the computation of the total error involves integration of instantaneous errors. While mathematical problems require analytic solutions which are sometimes very hard or impossible to obtain, most engineering problems require only numerical solutions.