CSC/ECE 506 Spring 2015/3b az

Introduction to MapReduce

MapReduce for a Shape Counter

MapReduce is a software framework introduced by Google in 2004 to support distributed computing on large data sets on clusters of computers.

MapReduce programming model consists of two major steps:

• In the map step, the problem being solved is divided into a series of sub-problems and distributed to different workers.

• After collecting results from workers, the computation enters the reduce step to combine and produce the final result.

Overview of the Programming Model

The MapReduce programming model is inspired by functional languages and targets data-intensive computations.

The input data format is application-specific, and is specified by the user. The output is a set of <key,value> pairs. The user expresses an algorithm using two functions, Map and Reduce. The Map function is applied on the input data and produces a list of intermediate <key,value> pairs. The Reduce function is applied to all intermediate pairs with the same key. It typically performs some kind of merging operation and produces zero or more output pairs. Finally, the output pairs are sorted by their key value. In the simplest form of MapReduce programs, the programmer provides just the Map function. All other functionality, including the grouping of the intermediate pairs which have the same key and the final sorting, is provided by the runtime.

The programmer provides a simple description of the algorithm that focuses on functionality and not on parallelization. The actual parallelization and the details of concurrency management are left to the runtime system. Hence the program code is generic and easily portable across systems. Nevertheless, the model provides sufficient high-level information for parallelization. The Map function can be executed in parallel on non-overlapping portions of the input data and the Reduce function can be executed in parallel on each set of intermediate pairs with the same key. Similarly, since it is explicitly known which pairs each function will operate upon, one can employ pre-fetching or other scheduling optimizations for locality.

Sample Code

The following pseudo-code shows the basic structure of a MapReduce program.

Program to count number of occurrences of each word in a collection of documents.

//Input : a Document
//Intermediate Output: key = word, value = 1
Map(void * input){
   for each word w in Input
       Emit Intermediate(w,1)
}

//Intermediate Output key = word, value = 1
//Output : key = word, value = occurrences
Reduce(String key, Iterator values){
   int result = 0;
   for each v in values 
       result += v
   Emit(w, result)
}

Role of the Run-time System

In both steps of MapReduce, the run-time must decide on factors such as the size of the units, the number of nodes involved, how units are assigned to nodes dynamically, and how buffer space is allocated. The decisions can be fully automatic or guided by the programmer given application specific knowledge. These decisions allow the run-time to execute a program efficiently across a wide range of machines and data-set scenarios without modifications to the source code. Finally, the run-time must merge and sort the output pairs from all Reduce tasks.

Implementations

Many different implementations of the MapReduce interface are possible. The right choice depends on the environment. For example, one implementation may be suitable for a small shared-memory machine, another for a large NUMA multi-processor, and yet another for an even larger collection of networked machines.

• Google's MapReduce and Hadoop implement map reduce for large clusters of commodity PCs connected together with switched Ethernet.

• Phoenix implements MapReduce for shared-memory systems.

• Mars is a MapReduce framework on graphics processors (GPUs).

Google's MapReduce

Execution Overview

The Map invocations are distributed across multiple machines by automatically partitioning the input data into a set of M splits. The input splits can be processed in parallel by different machines. Reduce invocations are distributed by partitioning the intermediate key space into R pieces using a partitioning function (e.g., hash(key) mod R). The number of partitions (R) and the partitioning function are specified by the user. Below is a detailed look. <ref>http://static.usenix.org/event/osdi04/tech/full_papers/dean/dean.pdf Simplified Data Processing on Large Clusters</ref>

Google's MapReduce

The figure above shows the overall flow of a MapReduce operation in Google's implementation. When the user program calls the MapReduce function, the following sequence of actions occurs (the numbered labels in the figure above correspond to the numbers in the list below):

1. The MapReduce library in the user program first splits the input files into M pieces of typically 16 megabytes to 64 megabytes (MB) per piece (controllable by the user via an optional parameter). It then starts up many copies of the program on a cluster of machines.
2. One of the copies of the program is special, the master. The rest are workers that are assigned work by the master. There are M map tasks and R reduce tasks to assign. The master picks idle workers and assigns each one a map task or a reduce task.
3. A worker who is assigned a map task reads the contents of the corresponding input split. It parses key/value pairs out of the input data and passes each pair to the user-defined Map function. The intermediate key/value pairs produced by the Map function are buffered in memory.
4. Periodically, the buffered pairs are written to local disk, partitioned into R regions by the partitioning function. The locations of these buffered pairs on the local disk are passed back to the master, who is responsible for forwarding these locations to the reduce workers. When a reduce worker is notified by the master about these locations, it uses remote procedure calls to read the buffered data from the local disks of the map workers.
5. When a reduce worker has read all intermediate data, it sorts it by the intermediate keys so that all occurrences of the same key are grouped together. The sorting is needed because typically many different keys map to the same reduce task. If the amount of intermediate data is too large to fit in memory, an external sort is used.
6. The reduce worker iterates over the sorted intermediate data and for each unique intermediate key encountered, it passes the key and the corresponding set of intermediate values to the user's Reduce function. The output of the Reduce function is appended to a final output file for this reduce partition.
7. When all map tasks and reduce tasks have been completed, the master wakes up the user program. At this point, the MapReduce call in the user program returns back to the user code.
8. After successful completion, the output of the mapreduce execution is available in the R output files (one per reduce task, with file names as specified by the user). Typically, users do not need to combine these R output files into one file . They often pass these files as input to another MapReduce call, or use them from another distributed application that is able to deal with input that is partitioned into multiple files.

Data Structures: Master

The master keeps several data structures. For each map task and reduce task, it stores the state (idle, in-progress, or completed), and the identity of the worker machine (for non-idle tasks). The master is the conduit through which the location of intermediate file regions is propagated from map tasks to reduce tasks. Therefore, for each completed map task, the master stores the locations and sizes of the R intermediate file regions produced by the map task. Updates to this location and size information are received as map tasks are completed. The information is pushed incrementally to workers that have in-progress reduce tasks.

Fault Tolerance

Since the MapReduce library is designed to help process very large amounts of data using hundreds or thousands of machines, the library must tolerate machine failures gracefully.

• Master Failure

It is easy to make the master write periodic checkpoints of the master data structures. If the master task dies, a new copy can be started from the last checkpoint. However, given that there is only a single master, its failure is unlikely; therefore Google's current implementation aborts the MapReduce computation if the master fails. Clients can check for this condition and retry the MapReduce operation if they desire.

• Worker Failure

The master pings every worker periodically. If no response is received from a worker in a certain amount of time, the master marks the worker as failed. Any map tasks completed by the worker are reset back to their initial idle state, and therefore become eligible for scheduling on other workers. Similarly, any map task or reduce task in progress on a failed worker is also reset to idle and becomes eligible for rescheduling. Completed map tasks are re-executed on a failure because their output is stored on the local disk(s) of the failed machine and is therefore inaccessible. Completed reduce tasks do not need to be re-executed since their output is stored in a global file system. When a map task is executed first by worker A and then later executed by worker B (because A failed), all workers executing reduce tasks are notified of the re-execution. Any reduce task that has not already read the data from worker A will read the data from worker B. MapReduce is resilient to large-scale worker failures.

Pros and Cons

• Advantages

1. Large variety of problems are easily expressible as Map-Reduce computations.
2. The model is easy to use, even for programmers without experience with parallel and distributed systems, since it hides the details of parallelization, fault tolerance, locality optimization, and load balancing. For example, Map-Reduce is used for the generation of data for Google’s production Web search service, for sorting, data mining, machine learning, and many other systems.
3. Implementation of Map-Reduce can be scaled to large clusters of machines comprising thousands of machines.

• Disadvantages

1. Restricted programming model puts bounds on the way you implement the framework.
2. Since network bandwidth is scarce, a number of optimization in the system are therefore targeted at reducing the amount of data sent across the network.

Apache’s Hadoop MapReduce

Apache, after Google published the paper on MapReduce and Google File System (GFS <ref>http://www.cs.rochester.edu/meetings/sosp2003/papers/p125-ghemawat.pdf Google File System</ref>) introduced it's own implementation of the same. The important thing to note here is that Apache made this framework open-source. This framework transparently provides both reliability and data motion to applications. Hadoop has prominent users such as Yahoo! and Facebook. (Good Read!<ref>http://en.wikipedia.org/wiki/Apache_Hadoop Apache Hadoop</ref>)

The key to the whole system is data locality. The idea that network is slow and data plentiful, in a lot of processing frameworks you will bring the data to the processing Hadoop brings the computation to the data. In some cases the data is so large that this is the only processing option. Map Reduce provides the framework of processing the data on a Hadoop cluster that is stored in the Hadoop File System (HDFS).

MapReduce1 (MRV1)

Hadoop MapRed is based on a “pull” model where multiple “TaskTrackers” poll the “JobTracker” for tasks (either map task or reduce task).

Apache Hadoop MapReduce

The figure above depicts the execution of the job.<ref>http://horicky.blogspot.com/2008/11/hadoop-mapreduce-implementation.html Pragmatic Guide</ref>

• Client program uploads files to the Hadoop Distributed File System (HDFS) location and notifies the JobTracker which in turn returns the Job ID to the client.
• The Jobtracker allocates map tasks to the TaskTrackers.
• JobTracker determines appropriate jobs based on how busy the TaskTracker is.
• TaskTracker forks MapTask which extracts input data and invokees the user provided "map" function which fills in the buffer with key/value pairs until it is full.
• The buffer is eventually flushed into two files.
• After all the MapTask completes (all splits are done), the TaskTracker will notify the JobTracker which keeps track of the overall progress of job.
• When done, the JobTracker notifies TaskTracker to jump to reduce phase. This again follows same method where reduce task is forked.
• The output of each reducer is written to a temporary output file in HDFS. When the reducer finishes processing all keys, the temp output file will be renamed atomically to its final output filename.

YARN

While the initial implementation of MRV1 on Hadoop was successful, heavy use of the product did show some pain points in the MRV1 implementation. Notably heavy processing load would cause the JobTracker to be a large bottleneck. In order to help remove this bottleneck, YARN was implemented. YARN is an application framework that solely does resource management for Hadoop clusters. Now not only can you run Map Reduce jobs, but you can also put other in cluster implementation under the YARN resource management. Allowing you to properly allocate resources across your cluster. YARN at it's simplest is the separation of the work that the JobTracker would do into two new processes. The resource manager (ResourceManager) and the job scheduling and monitor task (ApplicationMaster).

The map reduce API changes only in that applications need to change imports. However, the execution of the job changes significantly. Yarn does work in units called containers. Containers represent a unit of work that can be done on a cluster. Upon job submission, the ResourceManager allocates a container for the ApplicationMaster. This ApplicationMaster runs on a DataNode in the cluster. To run the application manager requests that a NodeManager launch the ApplicationMaster in that container. The ApplicationMaster then determines based on the input splits, the number of map tasks to create. Once this information is known the ApplicationMaster, requests the container resources from the ResourceManager Based on the locality of data and available resources, the ResourceManager decides where to run the map tasks. The ApplicationMaster then asks the NodeManagers on the assigned nodes to start the map tasks.

Spark

Just as YARN was implemented to address some of the short comings of MRV1, Spark is a new execution framework to help remove some of the inefficiencies and startup latency of MapReduce. Spark takes greater advantage of available memory on the nodes in the cluster, and will start job execution immediately. Where MapReduce will wait until distribution of code to all the nodes. Spark also adds a number of things into the framework, such as streaming and ingestion and the ability to do SQL queries within the applications.

Phoenix

Phoenix<ref> http://csl.stanford.edu/~christos/publications/2007.cmp_mapreduce.hpca.pdf Evaluating MapReduce for Multi-core and Multiprocessor Systems</ref> implements MapReduce for shared-memory systems. Its goal is to support efficient execution on multiple cores without burdening the programmer with concurrency management. Phoenix consists of a simple API that is visible to application programmers and an efficient runtime that handles parallelization, resource management, and fault recovery.

Phoenix API

The current Phoenix implementation provides an API for C and C++.

• The first set is provided by Phoenix and is used by the programmer’s application code to initialize the system and emit output pairs (1 required and 2 optional functions).
  
• The second set includes the functions that the programmer defines (3 required and 2 optional functions).
  

Apart from the Map and Reduce functions, the user provides functions that partition the data before each step and a function that implements key comparison. The function arguments are declared as void pointers wherever possible to provide flexibility in their declaration and fast use without conversion overhead. The data structure used to communicate basic function information and buffer allocation between the user code and run-time is of type scheduler_args_t (MapReduce Header File). There are additional data structure types to facilitate communication between the Splitter, Map, Partition, and Reduce functions. These types use pointers whenever possible to implement communication without actually copying significant amounts of data.

The Phoenix API does not rely on any specific compiler options and does not require a parallelizing compiler. However, it assumes that its functions can freely use stack-allocated and heap-allocated structures for private data. It also assumes that there is no communication through shared-memory structures other than the input/output buffers for these functions. For C/C++, these assumptions cannot be checked statically for arbitrary programs. Although there are stringent checks within the system to ensure valid data are communicated between user and run-time code, eventually it is the task of user to provide functionally correct code.

Phoenix MapReduce

The Phoenix run-time was developed on top of POSIX threads, but can be easily ported to other shared memory thread packages. The figure above shows the basic data flow for the run-time system.

• The run-time is controlled by the scheduler, which is initiated by user code.
• The scheduler creates and manages the threads that run all Map and Reduce tasks. It also manages the buffers used for task communication.
• The programmer provides the scheduler with all the required data and function pointers through the scheduler_args_t structure.
• After initialization, the scheduler determines the number of cores to use for this computation. For each core, it spawns a worker thread that is dynamically assigned some number of Map and Reduce tasks.

To start the Map stage, the scheduler uses the Splitter to divide input pairs into equally sized units to be processed by the Map tasks. The Splitter is called once per Map task and returns a pointer to the data the Map task will process. The Map tasks are allocated dynamically to workers and each one emits intermediate <key,value> pairs. The Partition function splits the intermediate pairs into units for the Reduce tasks. The function ensures all values of the same key go to the same unit. Within each buffer, values are ordered by key to assist with the final sorting. At this point, the Map stage is over. The scheduler must wait for all Map tasks to complete before initiating the Reduce stage.

Reduce tasks are also assigned to workers dynamically, similar to Map tasks. The one difference is that, while with Map tasks there is complete freedom in distributing pairs across tasks, with Reduce all values for the same key must be processed in one task. Hence, the Reduce stage may exhibit higher imbalance across workers and dynamic scheduling is more important. The output of each Reduce task is already sorted by key. As the last step, the final output from all tasks is merged into a single buffer, sorted by keys.

Buffer Management

Two types of temporary buffers are necessary to store data between the various stages. All buffers are allocated in shared memory but are accessed in a well specified way by a few functions. To re-arrange buffers (e.g., split across tasks), pointer manipulation is done instead of the actual pairs, which may be large in size. The intermediate buffers are not directly visible to user code. Map-Reduce buffers are used to store the intermediate output pairs. Each worker has its own set of buffers. The buffers are initially sized to a default value and then resized dynamically as needed. At this stage, there may be multiple pairs with the same key. To accelerate the Partition function, the Emit intermediate function stores all values for the same key in the same buffer. At the end of the Map task, each buffer is sorted by key order. Reduce- Merge buffers are used to store the outputs of Reduce tasks before they are sorted. At this stage, each key has only one value associated with it. After sorting, the final output is available in the user allocated Output data buffer.

Pros and Cons

• Advantages

1. Phoenix is fast and scalable across all workloads
2. On clusters of machines, the combiner function reduces the number of key-value pairs that must be exchanged between machines. These combiners contribute to better data locality and lower memory allocation pressure, resulting in substantial number of applications being scalable.

• Disadvantages<ref>http://csl.stanford.edu/~christos/publications/2011.phoenixplus.mapreduce.pdf Phoenix++: Modular MapReduce for Shared Memory Systems</ref>

1. Due to shared memory there is an inefficient key-Value storage since containers must provide fast lookup and retrieval over potentially large data-set, all the while coordinating accesses across multiple threads
2. Ineffective Combiner : However, on SMP machines memory allocation costs tend to dominate, even more than the memory traffic. Combiners fail to reduce the memory allocation pressure, since generated key-value pairs must still be stored. Further, by the time the combiners are run, those pairs may no longer be in the cache causing expensive memory access penalties.
3. Phoenix implements internally grouping tasks into chunks to reduce scheduling costs and amortize per-task overhead. This design enables the user-implemented optimizations described in the previous two sections. However, it also has two drawbacks. Firstly, since the code for grouping tasks is pushed into user code, map function becomes more complicated due to the extra code to deal with chunks. Secondly, if the user leverages the exposed chunk to improve performance, the framework can no longer freely adjust the chunk size since doing so will affect the efficiency of the map function.

Map Reduce on Graphics Processors

Challenges

Compared with CPUs, the hardware architecture of GPUs differs significantly. For instance, current GPUs have over one hundred SIMD (Single Instruction Multiple Data) processors whereas current multi-core CPUs offer a much smaller number of cores. Moreover, most GPUs do not support atomic operations or locks.

Due to the architectural differences, there are following three technical challenges in implementing the MapReduce framework on the GPU.

1. The synchronization overhead in the run-time system of the framework must be low so that the system can scale to hundreds of processors.
2. Due to the lack of dynamic thread scheduling on current GPUs, it is essential to allocate work evenly across threads on the GPU to exploit its massive thread parallelism.
3. The core tasks of MapReduce programs, including string processing, file manipulation and concurrent reads and writes, are unconventional to GPUs and must be handled efficiently.

Mars, MapReduce framework on the GPU was designed and implemented with these challenges in mind.<ref>http://www.ece.rutgers.edu/~parashar/Classes/08-09/ece572/readings/mars-pact-08.pdf Mars: A MapReduce Framework on Graphic Processors</ref>

Mars API

Mars provides a small set of APIs that are similar to those of CPU-based MapReduce. Run-time system utilizes a large number of GPU threads for Map or Reduce tasks, and automatically assigns each thread a small number of key/value pairs to work on. As a result, the massive thread parallelism on the GPU is well utilized. To avoid any conflict between concurrent writes, Mars has a lock-free scheme with low runtime overhead on the massive thread parallelism of the GPU. This scheme guarantees the correctness of parallel execution with little synchronization overhead.

Mars has two kinds of APIs, the user-implemented APIs, which the users implement, and the system-provided APIs, which the users can use as library calls.

• Mars has the following user-implemented APIs. These APIs are implemented with C/C++. void* type has been used so that the developer can manipulate strings and other complex data types conveniently.

//MAP_COUNT counts result size of the map function.
voidMAP_COUNT(void *key, void *val, int keySize, int valSize);

//The map function.
voidMAP(void *key, void* val, int keySize, int valSize);

//REDUCE_COUNT counts result size of the reduce function.
void REDUCE_COUNT(void* key, void* vals, int keySize, int valCount);

//The reduce function.
void REDUCE(void* key, void* vals, int keySize, int valCount);

• Mars has the following four system-provided APIs. The emit functions are used in user-implemented map and reduce functions to output the intermediate/final results.

//Emit the key size and the value size inMAP_COUNT.
void EMIT_INTERMEDIATE_COUNT(int keySize, int valSize);

//Emit an intermediate result in MAP.
void EMIT_INTERMEDIATE(void* key, void* val, int keySize, int valSize);

//Emit the key size and the value size in REDUCE_COUNT.
void EMIT_COUNT(int keySize, int valSize);

//Emit a final result in REDUCE.
void EMIT(void *key, void* val, int keySize, int valSize);

Overall, the APIs in Mars are similar to those in the existing MapReduce frameworks such as Hadoop and Phoenix. The major difference is that Mars needs two APIs to implement the functionality of each CPU-based API. One is to count the size of results, and the other one is to output the results. This is because the GPU does not support atomic operations, and the Mars runtime uses a two-step design for the result output.

Implementation Details

• Since the GPU does not support dynamic memory allocation on the device memory during the execution of the GPU code, arrays are used as the main data structure.
• The input data, the intermediate result and the final result are stored in three kinds of arrays, i.e., the key array, the value array and the directory index. The directory index consists of an entry of <key offset, key size, value offset, value size> for each key/value pair.
• Given a directory index entry, the key or the value at the corresponding offset in the key array or the value array is fetched.
• With the array structure, for the input data as well as for the result output the space on the device memory is allocated before executing the GPU program. However, the sizes of the output from the map and the reduce stages are unknown. The output scheme for the map stage is similar to that for the reduce stage.

First, each map task outputs three counts, i.e., the number of intermediate results, the total size of keys (in bytes) and the total size of values (in bytes) generated by the map task. Based on key sizes (or value sizes) of all map tasks, the run-time system computes a prefix sum on these sizes and produces an array of write locations. A write location is the start location in the output array for the corresponding map task to write. Based on the number of intermediate results, the run-time system computes a prefix sum and produces an array of start locations in the output directory index for the corresponding map task. Through these prefix sums, the sizes of the arrays for the intermediate result is also known. Thus, the run-time allocates arrays in the device memory with the exact size for storing the intermediate results.

Second, each map task outputs the intermediate key/value pairs to the output array and updates the directory index. Since each map has its deterministic and non-overlapping positions to write to, the write conflicts are avoided. This two-step scheme does not require the hardware support of atomic functions. It is suitable for the massive thread parallelism on the GPU. However, it doubles the map computation in the worst case. The overhead of this scheme is application dependent, and is usually much smaller than that in the worst case.

Optimization Techniques

Memory Optimizations

Two memory optimizations are used to reduce the number of memory requests in order to improve the memory bandwidth utilization.

• Coalesced accesses

The GPU feature of coalesced accesses is utilized to improve the memory performance. The memory accesses of each thread to the data arrays are designed according to the coalesced access pattern when applicable. Suppose there are T threads in total and the number of key/value pairs is N in the map stage. Thread i processes the (i + T • k )th (k=0,..,N/T) key/value pair. Due to the SIMD property of the GPU, the memory addresses from the threads within a thread group are consecutive and these accesses are coalesced into one. The figure below illustrates the map stage with and without the coalesced access optimization.

• Accesses using built-in vector types

Accessing the values in the device memory can be costly, because the data values are often of different sizes and the accesses are hardly coalesced. Fortunately, GPUs such as G80 support built-in vector types such as char4 and int4. Reading built-in vectors fetches the entire vector in a single memory request. Compared with reading char or int, the number of memory requests is greatly reduced and the memory performance is improved.

Thread parallelism

The thread configuration, i.e., the number of thread groups and the number of threads per thread group, is related to multiple factors including, (1) the hardware configuration such as the number of multiprocessors and the on-chip computation resources such as the number of registers on each multiprocessor, (2) the computation characteristics of the map and the reduce tasks, e.g., they are memory- or computation-intensive. Since the map and the reduce functions are implemented by the developer, and their costs are unknown to the runtime system, it is difficult to find the optimal setting for the thread configuration at run time.

Handling variable-sized types

The variable-sized types are supported with the directory index. If two key/value pairs need to be swapped, their corresponding entries in the directory index are swapped without modifying the key and the value arrays. This choice is to save the swapping cost since the directory entries are typically much smaller than the key/value pairs. Even though swapping changes the order of entries in the directory index, the array layout is preserved and therefore accesses to the directory index can still be coalesced after swaps. Since strings are a typical variable-sized type, and string processing is common in web data analysis tasks, a GPU-based string manipulation library was developed for Mars. The operations in the library include strcmp, strcat, memset and so on. The APIs of these operations are consistent with those in C/C++ library on the CPU. The difference is that simple algorithms for these GPU-based string operations were used, since they usually handle small strings within a map or a reduce task. In addition, char4 is used to implement strings to optimize the memory performance.

Hashing

Hashing is used in the sort algorithm to store the results with the same key value consecutively. In that case, it is not needed that the results with the key values are in their strict ascending/ decreasing order. The hashing technique that hashes a key into a 32-bit integer is used, and the records are sorted according to their hash values. When two records are compared, their hash values are compared first. Only when their hash values are the same, their keys are fetched and compared. Given a good hash function, the probability of comparing the keys is low.

File manipulation

Currently, the GPU cannot directly access the data in the hard disk. Thus, the file manipulation with the assistance of the CPU is performed in three phases. First, the file I/O on the CPU is performed and the file data is loaded into a buffer in the main memory. To reduce the I/O stall, multiple threads are used to perform the I/O task. Second, the preprocessing on the buffered data is performed and the input key/value pairs are obtained. Finally, the input key/value pairs are copied to the GPU device memory.

Pros and Cons

• Advantages

1. Provides a performance speedup of accessing data by using built-in vector types. These vector types reduces the number of memory requests and improves the bandwidth utilization.
2. Applications written on Mars may or may not have the reduce stage and thus improves speedup.

• Disadvantages

1. GPU based applications are much more complex
2. Mars currently handles data that can fit into the device memory but has not yet been checked to support massive data sets

More Examples

Basic MapReduce Patterns <ref>https://highlyscalable.wordpress.com/2012/02/01/mapreduce-patterns/</ref>

Counting and Summing

Suppose you wanted to count the number of occurrences for each word in a set of documents. The documents could be anything; a log file or an http page.

The simpliest approach is just to simply emit "1" for each term that a document possesses and then have the reducer add them up.

class Mapper
      method Map(docid id, doc d)
         for all term t in doc d do
            Emit(term t, count 1)
 
class Reducer
   method Reduce(term t, counts [c1, c2,...])
      sum = 0
      for all count c in [c1, c2,...] do
          sum = sum + c
      Emit(term t, count sum)

However this approach requires a high amount of dummy counters emitted by the mapper. A way to clean this up is to make the mapper count the terms for it's document.

class Mapper
   method Map(docid id, doc d)
      H = new AssociativeArray
      for all term t in doc d do
          H{t} = H{t} + 1
      for all term t in H do
         Emit(term t, count H{t})

To expand on this idea, it's better to use a combiner so that counter may be accumulated for more than one document.

class Mapper
   method Map(docid id, doc d)
      for all term t in doc d do
         Emit(term t, count 1)
 
class Combiner
   method Combine(term t, [c1, c2,...])
      sum = 0
      for all count c in [c1, c2,...] do
          sum = sum + c
      Emit(term t, count sum)
 
class Reducer
   method Reduce(term t, counts [c1, c2,...])
      sum = 0
      for all count c in [c1, c2,...] do
          sum = sum + c
      Emit(term t, count sum)

Distributed Task Execution

A large computational problem that can be divided into equal parts and then combined together for a final result is a standard Map-Reduce problem. The problem is split into a set of specifications and specifications are stored as input data for the mappers. Each mapper takes a specification, executes the computation and then emits the results.

class Mapper
   method Map(specid id, spec s)
      result = 0
      result = calculate(specid id, spec s )
      Emit(result r)
 
class Reducer
   method Reduce(results [r1, r2,...])
      sum = 0
      for all result r in [r1, r2,...] do
          sum = sum + r
      Emit(result sum)

Further examples

Below are a few simple examples of programs that can be easily expressed as MapReduce computations.

• Distributed Grep: The map function emits a line if it matches a given pattern. The reduce function is an identity function that just copies the supplied intermediate data to the output.
  
• Count of URL Access Frequency: The map function processes logs of web page requests and outputs <URL, 1>. The reduce function adds together all values for the same URL and emits a <URL, total count> pair.
  
• Reverse Web-Link Graph: The map function outputs <target, source> pairs for each link to a target URL found in a page named "source". The reduce function concatenates the list of all source URLs associated with a given target URL and emits the pair: <target, list(source)>.
  
• Term-Vector per Host: A term vector summarizes the most important words that occur in a document or a set of documents as a list of <word, frequency> pairs. The map function emits a <hostname, term vector> pair for each input document (where the hostname is extracted from the URL of the document). The reduce function is passed all per-document term vectors for a given host. It adds these term vectors together, throwing away infrequent terms, and then emits a final <hostname, term vector> pair.
  
• Inverted Index: The map function parses each document, and emits a sequence of <word, document ID> pairs. The reduce function accepts all pairs for a given word, sorts the corresponding document IDs and emits a <word, list(document ID)> pair. The set of all output pairs forms a simple inverted index. It is easy to augment this computation to keep track of word positions.

Summary

Google’s MapReduce runtime implementation targets large clusters of Linux PCs connected through Ethernet switches. Tasks are forked using remote procedure calls. Buffering and communication occurs by reading and writing files on a distributed file system. The locality optimizations focus mostly on avoiding remote file accesses. While such a system is effective with distributed computing, it leads to very high overheads if used with shared-memory systems that facilitate communication through memory and are typically of much smaller scale.

Phoenix, implementation of MapReduce uses shared memory and minimizes the overheads of task spawning and data communication. With Phoenix,the programmer can provide a simple, functional expression of the algorithm and leaves parallelization and scheduling to the runtime system.Phoenix leads to scalable performance for both multi-core chips and conventional symmetric multiprocessors. Phoenix automatically handles key scheduling decisions during parallel execution. Despite runtime overheads, results have shown that performance of Phoenix to that of parallel code written in P-threads API are almost similar. Nevertheless,there are also applications that do not fit naturally in the MapReduce model for which P-threads code performs significantly better.

Graphics processors have emerged as a commodity platform for parallel computing. However, the developer requires the knowledge of the GPU architecture and much effort in developing GPU applications. Such difficulty is even more for complex and performance centric tasks such as web data analysis. Since MapReduce has been successful in easing the development of web data analysis tasks, one can use a GPU-based MapReduce for these applications. With the GPU-based framework, the developer writes their code using the simple and familiar MapReduce interfaces. The runtime on the GPU is completely hidden from the developer by the framework.

The framework is followed by criticisms as well. Google was awarded the patent for MapReduce, but it can be argued that this technology is similar to many other already existing ones. There are programming models that are similar to MapReduce like Algorithm Skeletons (Parallelism Patterns) <ref>http://en.wikipedia.org/wiki/Algorithmic_skeleton#Frameworks_and_libraries</ref>, Sector/Sphere <ref>http://en.wikipedia.org/wiki/Sector/Sphere</ref>, Datameer Analytics Solution <ref>http://en.wikipedia.org/wiki/Datameer</ref>. Algorithm Skeletons are a high-level parallel programming model for parallel and distributed computing.This frameowrk libraries are used for a number of applications. Sector/Sphere is a distributed file system targeting data storage over a large number of commodity computers. Sphere is the programming framework that supports massive in-storage parallel data processing for data stored in Sector. Additionally, Sector/Sphere is unique in its ability to operate in a wide area network (WAN) setting. Datameer Analytics Solution (DAS) is a business integration platform for Hadoop and includes data source integration, an analytics engine with a spreadsheet interface designed for business users with over 180 analytic functions and visualization including reports, charts and dashboards.

References

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Suggested Reading

1. Algorithm Skeleton
2. Sector/Sphere
3. Datameer Analytic Solution