Music Recommendation

Repository for the project of the Scalable and Cloud Computing course @unibo, a.y. 2022-23.

Inspired by the Million Song Dataset challenge on Kaggle, a comparison of various solutions to the problem exploiting the MapReduce paradigm and providing an environment for sequential, parallel and distributed execution. Hence, we aim to provide not only a comparison between the different algorithms, but also an analysis of the behaviours of these algorithms across the different executions.

The different algorithms produced can be found in the src/main/scala/ directory as scala worksheet files. To execute the algorithms, one should download the Echo Nest Taste Profile Subset dataset from http://millionsongdataset.com/tasteprofile/ and place the train_triplets.txt file under the src/main/resources/ directory (we advise working on a subset of it; dataExtraction.ipynb can be a useful tool to do that). Once executed, the results of the training will be available through a text file with the same name of the algorithm which can be found under target/scala-2.12/classes/models/. Make sure to also have an empty file in src/main/resources/models/ with the same name of the model (in case not, create it, as it will be used to dynamically create the path for the output model, which will still be found under the target/scala-2.12/classes/models/ path).

We plan to implement the following algorithms:

UserBasedModel
ItemBasedModel
LinearCombinationModel
AggregationModel
StochasticAggregationModel

How to execute code on Google Cloud Platform

Be sure that:
- Every file path in code is in the local path (e.g., "train_100_50.txt" instead of "~/MusicRecommender/.../train_100_50.txt")
- All files are loaded with Source.fromResource instead of Source.fromFile
- You have already created a Google Cloud Project (here's a guide)
- You have already installed Google Cloud CLI (here's a guide)
Create an assembly .jar package using the following command (in the project directory):
```
sbt clean assembly
```
- (Optional, but strongly recommended) You can check if the code works: go to MusicReccomender/target/scala-2.12/ and run
```
  java -jar package.jar
```
Create a new bucket inside the project in Google Cloud Platform (in this example it is called mr)
Copy the package created inside MusicReccomender/target/scala-2.12/ to the bucket with the following command:
```
gsutil cp package.jar gs://mr
```
Create a Compute Engine Cluster on Google Cloud Platform
- Be careful to choose the correct linux image, which is 2.1 (Debian 11, Hadoop 3.3, Spark 3.3) first release: 22/01/2021
- You can plan the elimination of the cluster so that you won't waste credits
Create and send a new job by:
1. Selecting the created cluster
2. Choosing Spark job as "Type of job"
3. Typing gs://mr/package.jar in "Main class or jar"

Experiments

We designed three kind of experiments: the first two are meant to compare the scalability of the proposed solution and the efficiency of the models scaling on the number of test (1) or train (2) users, while the third one is meant to compare the models to find which one is the best, using as evaluation function the mean average precision, following the challenge spirit in which the problem has first been proposed (Kaggle); this is done only on the distributed version on Google Cloud Platform, making use of the proven scalability to compute the models on a much bigger dataset.

Local Experiments

The following results are obtained on an Intel® Core™ i5-8250U Processor, 6M Cache, up to 3.40 GHz, 4 cores, 8 threads. All times are in ms.

Incrementing the number of test users

Sequential:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	42857	70839
100	50	5679	253379	516129
100	100	6620	739567	1403311

Parallel:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	15507	25829
100	50	5679	105049	233113
100	100	6620	210372	402987

Incrementing the number of train users

Sequential:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	42857	70839
200	10	8763	136434	166437
300	10	11660	277385	464244
400	10	14497	484250	415634
500	10	16785	1090257	823119

Parallel:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	15507	25829
200	10	8763	46980	63112
300	10	11660	118278	185948
400	10	14497	201378	159863
500	10	16785	425118	330385

Google Cloud Platform Results

The following sequential and parallel results are obtained on a single node with a Google's N1 Processor with 4 virtual CPUs and 15GB of RAM, while distributed results are obtained on 4 worker nodes, each with a Google's N1 Processor with 4 virtual CPUs and 15GB of RAM. All times are in ms.

Regarding the distributed execution, we reported the results for both approaches (distributing over songs and locally parallelize over test users and vice versa), to study their behaviour over different numbers of users and songs.

Incrementing the number of Test Users

Sequential:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	58175	95395
100	50	5679	655528	732643
100	100	6620	1453406	1803859

Parallel:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	53851	52474
100	50	5679	359120	376764
100	100	6620	733755	1061279

Distributed:

TrainUsers	TestUsers	Songs	ubm1	ubm2	ibm1	ibm2
100	10	4798	32020	42351	7790	7126
100	50	5679	95183	213722	98225	27701
100	100	6620	147121	424269	193660	68685

Incrementing the number of Train Users

Sequential:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	58175	95395
200	10	8763	272104	249830
300	10	11660	513474	635022
400	10	14497	832376	625668
500	10	16785	1635081	1334183

Parallel:

TrainUsers	TestUsers	Songs	ubm	ibm
100	10	4798	53851	52474
200	10	8763	146988	113650
300	10	11660	220897	378365
400	10	14497	384275	301811
500	10	16785	799185	622275

Distributed

TrainUsers	TestUsers	Songs	ubm1	ubm2	ibm1	ibm2
100	10	4798	32020	42351	7790	7126
200	10	8763	59725	95462	47734	18244
300	10	11660	162974	202068	109075	42347
400	10	14497	155877	125346	70841	66695
500	10	16785	313024	250710	138590	114828
1000	10	17748	1484891	1420594	574715	606498

Models comparison over 1000 train users and 100 test users

For each model, its mean average precision (mAP) value is reported.

Songs	NewSongs	ubm	ibm	lcm	am	scm
28720	2176	0.0385800219	0.142942848	0.1369886698	0.0950991402	0.101490377

Classification:

Item based model
Linear combination model
Stochastic combination model
Aggregation model
User based model

Models comparison over 2000 train users and 100 test users

For each model, its mean average precision (mAP) value is reported.

Songs	NewSongs	ubm	ibm	lcm	am	scm
44451	1865	0.0296820445	0.1549078628	0.0923070961	0.0770281485	0.0666806146

Classification:

Item based model
Linear combination model
Aggregation model
Stochastic combination model
User based model

Some notes about combination models and future experiments

All combination models have been realized such that a parameter alpha specifies how to weight the contributions from the user based and the item based model (as alpha and 1 - alpha, respectively). This means that one could eventually try all combinations of contributions from the two models, possibly finding a value for alpha such that at least the linear combination model gives better results than one singular model (in out case, the item based model), as it happens in the paper. For example, in our case one could think to weight the item based model more than the user based one (alpha=0.5 by default, giving the same weights to both models). It is also possible to calculate the two models separately and then importing them in a new execution to try these experiments on combinations without the need to recompute both models each time.

Experiment logs

Results with 100 train users and 10 test users

Songs: 4798
New songs: 262
Elapsed time for (Sequential) user-based model: 42857ms (42857364180ns)
Elapsed time for (Parallel) user-based model: 15507ms (15507377234ns)
Elapsed time for (Sequential) item-based model: 70839ms (70839461276ns)
Elapsed time for (Parallel) item-based model: 25829ms (25829145704ns)
Elapsed time for (Sequential) linear-combination model: 25ms (25468308ns)
Elapsed time for (Parallel) linear-combination model: 18ms (18808361ns)
Elapsed time for (Sequential) aggregation model: 25ms (25376443ns)
Elapsed time for (Parallel) aggregation model: 22ms (22824598ns)
Elapsed time for (Sequential) stochastic-combination model: 22ms (22814212ns)
Elapsed time for (Parallel) stochastic-combination model: 18ms (18587216ns)
Elapsed time for (Sequential) user-based model mAP: 441ms (441693398ns)
Elapsed time for (Parallel) user-based model mAP: 165ms (165774138ns)
Elapsed time for (Sequential) item-based model mAP: 461ms (461173721ns)
Elapsed time for (Parallel) item-based model mAP: 180ms (180187672ns)
Elapsed time for (Sequential) linear-combination model mAP: 398ms (398532015ns)
Elapsed time for (Parallel) linear-combination model mAP: 172ms (172372507ns)
Elapsed time for (Sequential) aggregation model mAP: 312ms (312546899ns)
Elapsed time for (Parallel) aggregation model mAP: 152ms (152993251ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 242ms (242267654ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 96ms (96231460ns)
(Sequential) user-based model mAP: 0.0618047983
(Parallel) user-based model mAP: 0.0618047983
(Sequential) item-based model mAP: 0.0990458015
(Parallel) item-based model mAP: 0.0990458015
(Sequential) linear-combination model mAP: 0.1025445293
(Parallel) linear-combination model mAP: 0.1025445293
(Sequential) aggregation model model mAP: 0.0637131952
(Parallel) aggregation model mAP: 0.0637131952
(Sequential) stochastic-combination model mAP: 0.0676572156
(Parallel) stochastic-combination model mAP: 0.0766630316

Results with 100 train users and 50 test users

Songs: 5679
New songs: 1394
Elapsed time for (Sequential) user-based model: 253379ms (253379538871ns)
Elapsed time for (Parallel) user-based model: 105049ms (105049963306ns)
Elapsed time for (Sequential) item-based model: 516129ms (516129726810ns)
Elapsed time for (Parallel) item-based model: 233113ms (233113107429ns)
Elapsed time for (Sequential) linear-combination model: 79ms (79054214ns)
Elapsed time for (Parallel) linear-combination model: 108ms (108582538ns)
Elapsed time for (Sequential) aggregation model: 168ms (168176485ns)
Elapsed time for (Parallel) aggregation model: 125ms (125442087ns)
Elapsed time for (Sequential) stochastic-combination model: 104ms (104458823ns)
Elapsed time for (Parallel) stochastic-combination model: 94ms (94851867ns)
Elapsed time for (Sequential) user-based model mAP: 4352ms (4352763743ns)
Elapsed time for (Parallel) user-based model mAP: 1970ms (1970362190ns)
Elapsed time for (Sequential) item-based model mAP: 5411ms (5411032642ns)
Elapsed time for (Parallel) item-based model mAP: 2138ms (2138962086ns)
Elapsed time for (Sequential) linear-combination model mAP: 5562ms (5562102258ns)
Elapsed time for (Parallel) linear-combination model mAP: 1624ms (1624478566ns)
Elapsed time for (Sequential) aggregation model mAP: 6203ms (6203478859ns)
Elapsed time for (Parallel) aggregation model mAP: 1806ms (1806769783ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 4919ms (4919265860ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 1396ms (1396721153ns)
(Sequential) user-based model mAP: 0.0320140683
(Parallel) user-based model mAP: 0.0320140683
(Sequential) item-based model mAP: 0.0730435327
(Parallel) item-based model mAP: 0.0730435327
(Sequential) linear-combination model mAP: 0.0732291573
(Parallel) linear-combination model mAP: 0.0732291573
(Sequential) aggregation model model mAP: 0.0461427795
(Parallel) aggregation model mAP: 0.0461427795
(Sequential) stochastic-combination model mAP: 0.054275165
(Parallel) stochastic-combination model mAP: 0.0504545796

Results with 100 train users and 100 test users

Songs: 6620
New songs: 2480
Elapsed time for (Sequential) user-based model: 739567ms (739567071965ns)
Elapsed time for (Parallel) user-based model: 210372ms (210372828326ns)
Elapsed time for (Sequential) item-based model: 1403311ms (1403311659284ns)
Elapsed time for (Parallel) item-based model: 402987ms (402987760631ns)
Elapsed time for (Sequential) linear-combination model: 194ms (194027395ns)
Elapsed time for (Parallel) linear-combination model: 146ms (146129808ns)
Elapsed time for (Sequential) aggregation model: 282ms (282815925ns)
Elapsed time for (Parallel) aggregation model: 242ms (242000556ns)
Elapsed time for (Sequential) stochastic-combination model: 195ms (195633915ns)
Elapsed time for (Parallel) stochastic-combination model: 121ms (121013083ns)
Elapsed time for (Sequential) user-based model mAP: 17711ms (17711445931ns)
Elapsed time for (Parallel) user-based model mAP: 5738ms (5738134130ns)
Elapsed time for (Sequential) item-based model mAP: 18828ms (18828945757ns)
Elapsed time for (Parallel) item-based model mAP: 6157ms (6157341845ns)
Elapsed time for (Sequential) linear-combination model mAP: 20731ms (20731335757ns)
Elapsed time for (Parallel) linear-combination model mAP: 5324ms (5324153841ns)
Elapsed time for (Sequential) aggregation model mAP: 17257ms (17257004635ns)
Elapsed time for (Parallel) aggregation model mAP: 6826ms (6826038612ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 14665ms (14665562865ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 6211ms (6211425487ns)
(Sequential) user-based model mAP: 0.0165354986
(Parallel) user-based model mAP: 0.0165354986
(Sequential) item-based model mAP: 0.0394516174
(Parallel) item-based model mAP: 0.0394516174
(Sequential) linear-combination model mAP: 0.0404551622
(Parallel) linear-combination model mAP: 0.0404551622
(Sequential) aggregation model model mAP: 0.026037198
(Parallel) aggregation model mAP: 0.026037198
(Sequential) stochastic-combination model mAP: 0.0272929769
(Parallel) stochastic-combination model mAP: 0.0232938355

Results with 200 train users and 10 test users

Songs: 8763
New songs: 180
Elapsed time for (Sequential) user-based model: 136434ms (136434211069ns)
Elapsed time for (Parallel) user-based model: 46980ms (46980268034ns)
Elapsed time for (Sequential) item-based model: 166437ms (166437036452ns)
Elapsed time for (Parallel) item-based model: 63112ms (63112854374ns)
Elapsed time for (Sequential) linear-combination model: 35ms (35896897ns)
Elapsed time for (Parallel) linear-combination model: 25ms (25774293ns)
Elapsed time for (Sequential) aggregation model: 50ms (50446720ns)
Elapsed time for (Parallel) aggregation model: 28ms (28951610ns)
Elapsed time for (Sequential) stochastic-combination model: 32ms (32615643ns)
Elapsed time for (Parallel) stochastic-combination model: 31ms (31329748ns)
Elapsed time for (Sequential) user-based model mAP: 430ms (430709814ns)
Elapsed time for (Parallel) user-based model mAP: 231ms (231304470ns)
Elapsed time for (Sequential) item-based model mAP: 607ms (607535794ns)
Elapsed time for (Parallel) item-based model mAP: 283ms (283896505ns)
Elapsed time for (Sequential) linear-combination model mAP: 564ms (564789426ns)
Elapsed time for (Parallel) linear-combination model mAP: 314ms (314617792ns)
Elapsed time for (Sequential) aggregation model mAP: 440ms (440703079ns)
Elapsed time for (Parallel) aggregation model mAP: 224ms (224796267ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 472ms (472007082ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 243ms (243478770ns)
(Sequential) user-based model mAP: 0.0674074074
(Parallel) user-based model mAP: 0.0674074074
(Sequential) item-based model mAP: 0.1117592593
(Parallel) item-based model mAP: 0.1117592593
(Sequential) linear-combination model mAP: 0.1085185185
(Parallel) linear-combination model mAP: 0.1085185185
(Sequential) aggregation model model mAP: 0.1066666667
(Parallel) aggregation model mAP: 0.1066666667
(Sequential) stochastic-combination model mAP: 0.0787962963
(Parallel) stochastic-combination model mAP: 0.0926851852

Results with 300 train users and 10 test users

Songs: 11660
New songs: 299
Elapsed time for (Sequential) user-based model: 277385ms (277385960888ns)
Elapsed time for (Parallel) user-based model: 118278ms (118278364427ns)
Elapsed time for (Sequential) item-based model: 464244ms (464244584608ns)
Elapsed time for (Parallel) item-based model: 185948ms (185948456337ns)
Elapsed time for (Sequential) linear-combination model: 44ms (44629761ns)
Elapsed time for (Parallel) linear-combination model: 33ms (33530636ns)
Elapsed time for (Sequential) aggregation model: 55ms (55272364ns)
Elapsed time for (Parallel) aggregation model: 67ms (67517837ns)
Elapsed time for (Sequential) stochastic-combination model: 42ms (42072013ns)
Elapsed time for (Parallel) stochastic-combination model: 19ms (19174736ns)
Elapsed time for (Sequential) user-based model mAP: 716ms (716026485ns)
Elapsed time for (Parallel) user-based model mAP: 407ms (407989568ns)
Elapsed time for (Sequential) item-based model mAP: 1136ms (1136933714ns)
Elapsed time for (Parallel) item-based model mAP: 457ms (457322012ns)
Elapsed time for (Sequential) linear-combination model mAP: 932ms (932210084ns)
Elapsed time for (Parallel) linear-combination model mAP: 432ms (432270977ns)
Elapsed time for (Sequential) aggregation model mAP: 737ms (737421888ns)
Elapsed time for (Parallel) aggregation model mAP: 281ms (281846488ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 716ms (716559469ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 275ms (275453178ns)
(Sequential) user-based model mAP: 0.1521579869
(Parallel) user-based model mAP: 0.1521579869
(Sequential) item-based model mAP: 0.2049370919
(Parallel) item-based model mAP: 0.2049370919
(Sequential) linear-combination model mAP: 0.2063306259
(Parallel) linear-combination model mAP: 0.2063306259
(Sequential) aggregation model model mAP: 0.1652810957
(Parallel) aggregation model mAP: 0.1652810957
(Sequential) stochastic-combination model mAP: 0.1807214525
(Parallel) stochastic-combination model mAP: 0.1717590381

Results with 400 train users and 10 test users

Songs: 14497
New songs: 155
Elapsed time for (Sequential) user-based model: 484250ms (484250895513ns)
Elapsed time for (Parallel) user-based model: 201378ms (201378619877ns)
Elapsed time for (Sequential) item-based model: 415634ms (415634469106ns)
Elapsed time for (Parallel) item-based model: 159863ms (159863170761ns)
Elapsed time for (Sequential) linear-combination model: 47ms (47734294ns)
Elapsed time for (Parallel) linear-combination model: 37ms (37730827ns)
Elapsed time for (Sequential) aggregation model: 55ms (55604232ns)
Elapsed time for (Parallel) aggregation model: 45ms (45141359ns)
Elapsed time for (Sequential) stochastic-combination model: 40ms (40383968ns)
Elapsed time for (Parallel) stochastic-combination model: 45ms (45322117ns)
Elapsed time for (Sequential) user-based model mAP: 704ms (704006043ns)
Elapsed time for (Parallel) user-based model mAP: 453ms (453804142ns)
Elapsed time for (Sequential) item-based model mAP: 725ms (725913616ns)
Elapsed time for (Parallel) item-based model mAP: 420ms (420842369ns)
Elapsed time for (Sequential) linear-combination model mAP: 736ms (736513671ns)
Elapsed time for (Parallel) linear-combination model mAP: 389ms (389822436ns)
Elapsed time for (Sequential) aggregation model mAP: 599ms (599806086ns)
Elapsed time for (Parallel) aggregation model mAP: 356ms (356975997ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 589ms (589438205ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 386ms (386097244ns)
(Sequential) user-based model mAP: 0.143609831
(Parallel) user-based model mAP: 0.143609831
(Sequential) item-based model mAP: 0.1968356375
(Parallel) item-based model mAP: 0.1968356375
(Sequential) linear-combination model mAP: 0.2011367127
(Parallel) linear-combination model mAP: 0.2011367127
(Sequential) aggregation model model mAP: 0.1312442396
(Parallel) aggregation model mAP: 0.1312442396
(Sequential) stochastic-combination model mAP: 0.1542089094
(Parallel) stochastic-combination model mAP: 0.1542089094

Results with 500 train users and 10 test users

Songs: 16785
New songs: 244
Elapsed time for (Sequential) user-based model: 1090257ms (1090257841293ns)
Elapsed time for (Parallel) user-based model: 425118ms (425118696144ns)
Elapsed time for (Sequential) item-based model: 823119ms (823119431191ns)
Elapsed time for (Parallel) item-based model: 330385ms (330385806410ns)
Elapsed time for (Sequential) linear-combination model: 61ms (61367983ns)
Elapsed time for (Parallel) linear-combination model: 36ms (36519326ns)
Elapsed time for (Sequential) aggregation model: 67ms (67567455ns)
Elapsed time for (Parallel) aggregation model: 44ms (44929172ns)
Elapsed time for (Sequential) stochastic-combination model: 110ms (110850397ns)
Elapsed time for (Parallel) stochastic-combination model: 78ms (78716238ns)
Elapsed time for (Sequential) user-based model mAP: 971ms (971745933ns)
Elapsed time for (Parallel) user-based model mAP: 614ms (614552047ns)
Elapsed time for (Sequential) item-based model mAP: 1060ms (1060226717ns)
Elapsed time for (Parallel) item-based model mAP: 501ms (501448199ns)
Elapsed time for (Sequential) linear-combination model mAP: 963ms (963367047ns)
Elapsed time for (Parallel) linear-combination model mAP: 467ms (467187741ns)
Elapsed time for (Sequential) aggregation model mAP: 1031ms (1031745672ns)
Elapsed time for (Parallel) aggregation model mAP: 410ms (410641312ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 740ms (740897767ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 290ms (290752657ns)
(Sequential) user-based model mAP: 0.1661316029
(Parallel) user-based model mAP: 0.1661316029
(Sequential) item-based model mAP: 0.280976776
(Parallel) item-based model mAP: 0.280976776
(Sequential) linear-combination model mAP: 0.2721116315
(Parallel) linear-combination model mAP: 0.2721116315
(Sequential) aggregation model model mAP: 0.2748162243
(Parallel) aggregation model mAP: 0.2748162243
(Sequential) stochastic-combination model mAP: 0.2099743039
(Parallel) stochastic-combination model mAP: 0.210208496

GCP with 100 train users and 10 test users

Songs: 4798
New songs: 262
Elapsed time for (Sequential) user-based model: 58175ms (58175637838ns)
Elapsed time for (Parallel) user-based model: 53851ms (53851335760ns)
Elapsed time for (Distributed) user-based1: 32020ms (32020236095ns)
Elapsed time for (Distributed) user-based2: 42351ms (42351342324ns)
Elapsed time for (Sequential) item-based model: 95395ms (95395813912ns)
Elapsed time for (Parallel) item-based model: 52474ms (52474346061ns)
Elapsed time for (Distributed) item-based1: 7790ms (7790517548ns)
Elapsed time for (Distributed) item-based2: 7126ms (7126385975ns)
Elapsed time for (Sequential) linear-combination model: 43ms (43001399ns)
Elapsed time for (Parallel) linear-combination model: 30ms (30947247ns)
Elapsed time for (Distributed) linear combination: 929ms (929160615ns)
Elapsed time for (Sequential) aggregation model: 37ms (37521982ns)
Elapsed time for (Parallel) aggregation model: 71ms (71014601ns)
Elapsed time for (Distributed) aggregation model: 658ms (658879738ns)
Elapsed time for (Sequential) stochastic-combination model: 29ms (29390764ns)
Elapsed time for (Parallel) stochastic-combination model: 21ms (21979575ns)
Elapsed time for (Distributed) stochastic combination model: 484ms (484372595ns)
Elapsed time for (Sequential) user-based model mAP: 452ms (452958276ns)
Elapsed time for (Parallel) user-based model mAP: 207ms (207369356ns)
Elapsed time for (Distributed) user-based model mAP: 635ms (635369429ns)
Elapsed time for (Sequential) item-based model mAP: 576ms (576920448ns)
Elapsed time for (Parallel) item-based model mAP: 355ms (355273819ns)
Elapsed time for (Distributed) item-based model mAP: 387ms (387956319ns)
Elapsed time for (Sequential) linear-combination model mAP: 510ms (510430481ns)
Elapsed time for (Parallel) linear-combination model mAP: 299ms (299033756ns)
Elapsed time for (Distributed) linear-combination model mAP: 377ms (377338776ns)
Elapsed time for (Sequential) aggregation model mAP: 395ms (395335099ns)
Elapsed time for (Parallel) aggregation model mAP: 216ms (216700655ns)
Elapsed time for (Distributed) aggregation model mAP: 425ms (425087107ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 339ms (339214053ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 195ms (195296050ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 343ms (343252870ns)
(Sequential) user-based model mAP: 0.0618047983
(Parallel) user-based model mAP: 0.0618047983
(Distributed) user-based model mAP: 0.0618047983
(Sequential) item-based model mAP: 0.0990458015
(Parallel) item-based model mAP: 0.0990458015
(Distributed) item-based model mAP: 0.0990458015
(Sequential) linear-combination model mAP: 0.1025445293
(Parallel) linear-combination model mAP: 0.1025445293
(Distributed) linear-combination model mAP: 0.1025445293
(Sequential) aggregation model model mAP: 0.0637131952
(Parallel) aggregation model mAP: 0.0637131952
(Distributed) aggregation model model mAP: 0.0637131952
(Sequential) stochastic-combination model mAP: 0.0682569975
(Parallel) stochastic-combination model mAP: 0.0751272265
(Distributed) stochastic-combination model mAP: 0.069692839

GCP with 100 train users and 50 test users

Songs: 5679
New songs: 1394
Elapsed time for (Sequential) user-based model: 655528ms (655528740788ns)
Elapsed time for (Parallel) user-based model: 359120ms (359120014416ns)
Elapsed time for (Distributed) user-based1: 95183ms (95183929502ns)
Elapsed time for (Distributed) user-based2: 213722ms (213722236503ns)
Elapsed time for (Sequential) item-based model: 732643ms (732643430327ns)
Elapsed time for (Parallel) item-based model: 376764ms (376764789156ns)
Elapsed time for (Distributed) item-based1: 98225ms (98225442292ns)
Elapsed time for (Distributed) item-based2: 27701ms (27701237273ns)
Elapsed time for (Sequential) linear-combination model: 114ms (114233213ns)
Elapsed time for (Parallel) linear-combination model: 103ms (103899498ns)
Elapsed time for (Distributed) linear combination: 2560ms (2560212721ns)
Elapsed time for (Sequential) aggregation model: 283ms (283632211ns)
Elapsed time for (Parallel) aggregation model: 240ms (240741137ns)
Elapsed time for (Distributed) aggregation model: 2439ms (2439683732ns)
Elapsed time for (Sequential) stochastic-combination model: 148ms (148734243ns)
Elapsed time for (Parallel) stochastic-combination model: 98ms (98070158ns)
Elapsed time for (Distributed) stochastic combination model: 2060ms (2060960893ns)
Elapsed time for (Sequential) user-based model mAP: 6940ms (6940301366ns)
Elapsed time for (Parallel) user-based model mAP: 3809ms (3809971695ns)
Elapsed time for (Distributed) user-based model mAP: 4465ms (4465218766ns)
Elapsed time for (Sequential) item-based model mAP: 7571ms (7571172538ns)
Elapsed time for (Parallel) item-based model mAP: 3945ms (3945749021ns)
Elapsed time for (Distributed) item-based model mAP: 4964ms (4964142348ns)
Elapsed time for (Sequential) linear-combination model mAP: 7336ms (7336390079ns)
Elapsed time for (Parallel) linear-combination model mAP: 3966ms (3966774390ns)
Elapsed time for (Distributed) linear-combination model mAP: 4092ms (4092735442ns)
Elapsed time for (Sequential) aggregation model mAP: 8849ms (8849501325ns)
Elapsed time for (Parallel) aggregation model mAP: 4630ms (4630480849ns)
Elapsed time for (Distributed) aggregation model mAP: 5817ms (5817036211ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 6581ms (6581419016ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 3488ms (3488122302ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 3103ms (3103679799ns)
(Sequential) user-based model mAP: 0.0320140683
(Parallel) user-based model mAP: 0.0320140683
(Distributed) user-based model mAP: 0.0320140683
(Sequential) item-based model mAP: 0.0730435327
(Parallel) item-based model mAP: 0.0730435327
(Distributed) item-based model mAP: 0.0730435327
(Sequential) linear-combination model mAP: 0.0732291573
(Parallel) linear-combination model mAP: 0.0732291573
(Distributed) linear-combination model mAP: 0.0732291573
(Sequential) aggregation model model mAP: 0.0461427795
(Parallel) aggregation model mAP: 0.0461427795
(Distributed) aggregation model model mAP: 0.0461427795
(Sequential) stochastic-combination model mAP: 0.0544634029
(Parallel) stochastic-combination model mAP: 0.0468094833
(Distributed) stochastic-combination model mAP: 0.0528467816

GCP with 100 train users and 100 test users

Songs: 6620
New songs: 2480
Elapsed time for (Sequential) user-based model: 1453406ms (1453406413461ns)
Elapsed time for (Parallel) user-based model: 733755ms (733755635985ns)
Elapsed time for (Distributed) user-based1: 147121ms (147121170586ns)
Elapsed time for (Distributed) user-based2: 424269ms (424269381726ns)
Elapsed time for (Sequential) item-based model: 1803859ms (1803859724567ns)
Elapsed time for (Parallel) item-based model: 1061279ms (1061279555871ns)
Elapsed time for (Distributed) item-based1: 193660ms (193660286090ns)
Elapsed time for (Distributed) item-based2: 68685ms (68685996627ns)
Elapsed time for (Sequential) linear-combination model: 305ms (305689384ns)
Elapsed time for (Parallel) linear-combination model: 403ms (403991220ns)
Elapsed time for (Distributed) linear combination: 4315ms (4315320767ns)
Elapsed time for (Sequential) aggregation model: 457ms (457062157ns)
Elapsed time for (Parallel) aggregation model: 386ms (386013535ns)
Elapsed time for (Distributed) aggregation model: 6069ms (6069394901ns)
Elapsed time for (Sequential) stochastic-combination model: 577ms (577378045ns)
Elapsed time for (Parallel) stochastic-combination model: 389ms (389767363ns)
Elapsed time for (Distributed) stochastic combination model: 3783ms (3783811305ns)
Elapsed time for (Sequential) user-based model mAP: 20357ms (20357906557ns)
Elapsed time for (Parallel) user-based model mAP: 10999ms (10999264390ns)
Elapsed time for (Distributed) user-based model mAP: 10193ms (10193798538ns)
Elapsed time for (Sequential) item-based model mAP: 23144ms (23144904340ns)
Elapsed time for (Parallel) item-based model mAP: 12996ms (12996608280ns)
Elapsed time for (Distributed) item-based model mAP: 11333ms (11333303544ns)
Elapsed time for (Sequential) linear-combination model mAP: 22430ms (22430335776ns)
Elapsed time for (Parallel) linear-combination model mAP: 11414ms (11414745953ns)
Elapsed time for (Distributed) linear-combination model mAP: 18913ms (18913232322ns)
Elapsed time for (Sequential) aggregation model mAP: 24708ms (24708000927ns)
Elapsed time for (Parallel) aggregation model mAP: 13230ms (13230178771ns)
Elapsed time for (Distributed) aggregation model mAP: 18505ms (18505648503ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 20616ms (20616275484ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 10746ms (10746474657ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 11020ms (11020421021ns)
(Sequential) user-based model mAP: 0.0165354986
(Parallel) user-based model mAP: 0.0165354986
(Distributed) user-based model mAP: 0.0165354986
(Sequential) item-based model mAP: 0.0394516174
(Parallel) item-based model mAP: 0.0394516174
(Distributed) item-based model mAP: 0.0394516174
(Sequential) linear-combination model mAP: 0.0404551622
(Parallel) linear-combination model mAP: 0.0404551622
(Distributed) linear-combination model mAP: 0.0404551622
(Sequential) aggregation model model mAP: 0.026037198
(Parallel) aggregation model mAP: 0.026037198
(Distributed) aggregation model model mAP: 0.026037198
(Sequential) stochastic-combination model mAP: 0.0301067135
(Parallel) stochastic-combination model mAP: 0.0280217284
(Distributed) stochastic-combination model mAP: 0.0290859303

GCP with 200 train users and 10 test users

Songs: 8763
New songs: 180
Elapsed time for (Sequential) user-based model: 272104ms (272104848879ns)
Elapsed time for (Parallel) user-based model: 146988ms (146988939783ns)
Elapsed time for (Distributed) user-based1: 59725ms (59725581508ns)
Elapsed time for (Distributed) user-based2: 95462ms (95462669753ns)
Elapsed time for (Sequential) item-based model: 249830ms (249830617586ns)
Elapsed time for (Parallel) item-based model: 113650ms (113650211767ns)
Elapsed time for (Distributed) item-based1: 47734ms (47734644822ns)
Elapsed time for (Distributed) item-based2: 18244ms (18244475993ns)
Elapsed time for (Sequential) linear-combination model: 47ms (47410182ns)
Elapsed time for (Parallel) linear-combination model: 32ms (32178193ns)
Elapsed time for (Distributed) linear combination: 1604ms (1604338317ns)
Elapsed time for (Sequential) aggregation model: 69ms (69162881ns)
Elapsed time for (Parallel) aggregation model: 49ms (49962981ns)
Elapsed time for (Distributed) aggregation model: 1231ms (1231156378ns)
Elapsed time for (Sequential) stochastic-combination model: 42ms (42390397ns)
Elapsed time for (Parallel) stochastic-combination model: 45ms (45704704ns)
Elapsed time for (Distributed) stochastic combination model: 1137ms (1137404684ns)
Elapsed time for (Sequential) user-based model mAP: 467ms (467654374ns)
Elapsed time for (Parallel) user-based model mAP: 371ms (371685224ns)
Elapsed time for (Distributed) user-based model mAP: 1290ms (1290212320ns)
Elapsed time for (Sequential) item-based model mAP: 862ms (862356942ns)
Elapsed time for (Parallel) item-based model mAP: 520ms (520080699ns)
Elapsed time for (Distributed) item-based model mAP: 1090ms (1090271325ns)
Elapsed time for (Sequential) linear-combination model mAP: 709ms (709940618ns)
Elapsed time for (Parallel) linear-combination model mAP: 469ms (469383492ns)
Elapsed time for (Distributed) linear-combination model mAP: 741ms (741782964ns)
Elapsed time for (Sequential) aggregation model mAP: 578ms (578254604ns)
Elapsed time for (Parallel) aggregation model mAP: 390ms (390699269ns)
Elapsed time for (Distributed) aggregation model mAP: 550ms (550742238ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 574ms (574419748ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 272ms (272123627ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 617ms (617888150ns)
(Sequential) user-based model mAP: 0.0674074074
(Parallel) user-based model mAP: 0.0674074074
(Distributed) user-based model mAP: 0.0674074074
(Sequential) item-based model mAP: 0.1117592593
(Parallel) item-based model mAP: 0.1117592593
(Distributed) item-based model mAP: 0.1117592593
(Sequential) linear-combination model mAP: 0.1085185185
(Parallel) linear-combination model mAP: 0.1085185185
(Distributed) linear-combination model mAP: 0.1085185185
(Sequential) aggregation model model mAP: 0.1066666667
(Parallel) aggregation model mAP: 0.1066666667
(Distributed) aggregation model model mAP: 0.1066666667
(Sequential) stochastic-combination model mAP: 0.1040740741
(Parallel) stochastic-combination model mAP: 0.0989814815
(Distributed) stochastic-combination model mAP: 0.0757407407

GCP with 300 train users and 10 test users

Songs: 11660
New songs: 299
Elapsed time for (Sequential) user-based model: 513474ms (513474835482ns)
Elapsed time for (Parallel) user-based model: 220897ms (220897243579ns)
Elapsed time for (Distributed) user-based1: 162974ms (162974656940ns)
Elapsed time for (Distributed) user-based2: 202068ms (202068498129ns)
Elapsed time for (Sequential) item-based model: 635022ms (635022705931ns)
Elapsed time for (Parallel) item-based model: 378365ms (378365846228ns)
Elapsed time for (Distributed) item-based1: 109075ms (109075509142ns)
Elapsed time for (Distributed) item-based2: 42347ms (42347346322ns)
Elapsed time for (Sequential) linear-combination model: 60ms (60638515ns)
Elapsed time for (Parallel) linear-combination model: 49ms (49544830ns)
Elapsed time for (Distributed) linear combination: 1704ms (1704897767ns)
Elapsed time for (Sequential) aggregation model: 76ms (76549110ns)
Elapsed time for (Distributed) aggregation model: 1223ms (1223364907ns)
Elapsed time for (Parallel) aggregation model: 46ms (46226635ns)
Elapsed time for (Sequential) stochastic-combination model: 61ms (61203819ns)
Elapsed time for (Parallel) stochastic-combination model: 43ms (43150582ns)
Elapsed time for (Distributed) stochastic combination model: 1176ms (1176701812ns)
Elapsed time for (Sequential) user-based model mAP: 1003ms (1003983244ns)
Elapsed time for (Parallel) user-based model mAP: 524ms (524008462ns)
Elapsed time for (Distributed) user-based model mAP: 1136ms (1136203413ns)
Elapsed time for (Sequential) item-based model mAP: 1385ms (1385536381ns)
Elapsed time for (Parallel) item-based model mAP: 756ms (756806573ns)
Elapsed time for (Distributed) item-based model mAP: 1164ms (1164101859ns)
Elapsed time for (Sequential) linear-combination model mAP: 1122ms (1122234784ns)
Elapsed time for (Parallel) linear-combination model mAP: 706ms (706187033ns)
Elapsed time for (Distributed) linear-combination model mAP: 1074ms (1074936398ns)
Elapsed time for (Sequential) aggregation model mAP: 958ms (958655855ns)
Elapsed time for (Parallel) aggregation model mAP: 510ms (510040426ns)
Elapsed time for (Distributed) aggregation model mAP: 985ms (985196120ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 929ms (929581272ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 568ms (568268995ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 1476ms (1476176598ns)
(Sequential) user-based model mAP: 0.1521579869
(Parallel) user-based model mAP: 0.1521579869
(Distributed) user-based model mAP: 0.1521579869
(Sequential) item-based model mAP: 0.2049370919
(Parallel) item-based model mAP: 0.2049370919
(Distributed) item-based model mAP: 0.2049370919
(Sequential) linear-combination model mAP: 0.2063306259
(Parallel) linear-combination model mAP: 0.2063306259
(Distributed) linear-combination model mAP: 0.2063306259
(Sequential) aggregation model model mAP: 0.1652810957
(Parallel) aggregation model mAP: 0.1652810957
(Distributed) aggregation model model mAP: 0.1652810957
(Sequential) stochastic-combination model mAP: 0.1789417105
(Parallel) stochastic-combination model mAP: 0.1798375538
(Distributed) stochastic-combination model mAP: 0.1719222806

GCP with 400 train users and 10 test users

Songs: 14497
New songs: 155
Elapsed time for (Sequential) user-based model: 832376ms (832376707399ns)
Elapsed time for (Parallel) user-based model: 384275ms (384275605015ns)
Elapsed time for (Distributed) user-based1: 155877ms (155877622249ns)
Elapsed time for (Distributed) user-based2: 125346ms (125346254580ns)
Elapsed time for (Sequential) item-based model: 625668ms (625668772218ns)
Elapsed time for (Parallel) item-based model: 301811ms (301811331916ns)
Elapsed time for (Distributed) item-based1: 70841ms (70841287114ns)
Elapsed time for (Distributed) item-based2: 66695ms (66695686731ns)
Elapsed time for (Sequential) linear-combination model: 81ms (81285222ns)
Elapsed time for (Parallel) linear-combination model: 131ms (131164707ns)
Elapsed time for (Distributed) linear combination: 1721ms (1721914413ns)
Elapsed time for (Sequential) aggregation model: 101ms (101266968ns)
Elapsed time for (Parallel) aggregation model: 84ms (84696671ns)
Elapsed time for (Distributed) aggregation model: 1851ms (1851172322ns)
Elapsed time for (Sequential) stochastic-combination model: 70ms (70677752ns)
Elapsed time for (Parallel) stochastic-combination model: 67ms (67535615ns)
Elapsed time for (Distributed) stochastic combination model: 1270ms (1270652268ns)
Elapsed time for (Sequential) user-based model mAP: 826ms (826859843ns)
Elapsed time for (Parallel) user-based model mAP: 550ms (550445058ns)
Elapsed time for (Distributed) user-based model mAP: 933ms (933694767ns)
Elapsed time for (Sequential) item-based model mAP: 1065ms (1065890482ns)
Elapsed time for (Parallel) item-based model mAP: 754ms (754424823ns)
Elapsed time for (Distributed) item-based model mAP: 685ms (685739359ns)
Elapsed time for (Sequential) linear-combination model mAP: 990ms (990476621ns)
Elapsed time for (Parallel) linear-combination model mAP: 685ms (685955805ns)
Elapsed time for (Distributed) linear-combination model mAP: 885ms (885055663ns)
Elapsed time for (Sequential) aggregation model mAP: 800ms (800535461ns)
Elapsed time for (Parallel) aggregation model mAP: 574ms (574064035ns)
Elapsed time for (Distributed) aggregation model mAP: 598ms (598422401ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 775ms (775346316ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 506ms (506862046ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 668ms (668666705ns)
(Sequential) user-based model mAP: 0.143609831
(Parallel) user-based model mAP: 0.143609831
(Distributed) user-based model mAP: 0.143609831
(Sequential) item-based model mAP: 0.1968356375
(Parallel) item-based model mAP: 0.1968356375
(Distributed) item-based model mAP: 0.1968356375
(Sequential) linear-combination model mAP: 0.2011367127
(Parallel) linear-combination model mAP: 0.2011367127
(Distributed) linear-combination model mAP: 0.2011367127
(Sequential) aggregation model model mAP: 0.1312442396
(Parallel) aggregation model mAP: 0.1312442396
(Distributed) aggregation model model mAP: 0.1312442396
(Sequential) stochastic-combination model mAP: 0.1812442396
(Parallel) stochastic-combination model mAP: 0.181781874
(Distributed) stochastic-combination model mAP: 0.1753302611

GCP with 500 train users and 10 test users

Songs: 16785
New songs: 244
Elapsed time for (Sequential) user-based model: 1635081ms (1635081337343ns)
Elapsed time for (Parallel) user-based model: 799185ms (799185599123ns)
Elapsed time for (Distributed) user-based1: 313024ms (313024202265ns)
Elapsed time for (Distributed) user-based2: 250710ms (250710844884ns)
Elapsed time for (Sequential) item-based model: 1334183ms (1334183493280ns)
Elapsed time for (Parallel) item-based model: 622275ms (622275174180ns)
Elapsed time for (Distributed) item-based1: 138590ms (138590795829ns)
Elapsed time for (Distributed) item-based2: 114828ms (114828347368ns)
Elapsed time for (Sequential) linear-combination model: 80ms (80275271ns)
Elapsed time for (Parallel) linear-combination model: 78ms (78162441ns)
Elapsed time for (Distributed) linear combination: 2095ms (2095842940ns)
Elapsed time for (Sequential) aggregation model: 122ms (122355039ns)
Elapsed time for (Parallel) aggregation model: 75ms (75601571ns)
Elapsed time for (Distributed) aggregation model: 2055ms (2055686834ns)
Elapsed time for (Sequential) stochastic-combination model: 241ms (241857960ns)
Elapsed time for (Parallel) stochastic-combination model: 139ms (139012745ns)
Elapsed time for (Distributed) stochastic combination model: 1636ms (1636384274ns)
Elapsed time for (Sequential) user-based model mAP: 1502ms (1502964618ns)
Elapsed time for (Parallel) user-based model mAP: 894ms (894087673ns)
Elapsed time for (Distributed) user-based model mAP: 1118ms (1118585507ns)
Elapsed time for (Sequential) item-based model mAP: 1426ms (1426947763ns)
Elapsed time for (Parallel) item-based model mAP: 835ms (835000030ns)
Elapsed time for (Distributed) item-based model mAP: 999ms (999477942ns)
Elapsed time for (Sequential) linear-combination model mAP: 1253ms (1253600616ns)
Elapsed time for (Parallel) linear-combination model mAP: 847ms (847565595ns)
Elapsed time for (Distributed) linear-combination model mAP: 1032ms (1032727448ns)
Elapsed time for (Sequential) aggregation model mAP: 1253ms (1253506318ns)
Elapsed time for (Parallel) aggregation model mAP: 681ms (681685749ns)
Elapsed time for (Distributed) aggregation model mAP: 1011ms (1011418927ns)
Elapsed time for (Sequential) stochastic-combination model mAP: 1012ms (1012065861ns)
Elapsed time for (Parallel) stochastic-combination model mAP: 564ms (564852782ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 928ms (928529292ns)
(Sequential) user-based model mAP: 0.1661316029
(Parallel) user-based model mAP: 0.1661316029
(Distributed) user-based model mAP: 0.1661316029
(Sequential) item-based model mAP: 0.280976776
(Parallel) item-based model mAP: 0.280976776
(Distributed) item-based model mAP: 0.280976776
(Sequential) linear-combination model mAP: 0.2721116315
(Parallel) linear-combination model mAP: 0.2721116315
(Distributed) linear-combination model mAP: 0.2721116315
(Sequential) aggregation model model mAP: 0.2748162243
(Parallel) aggregation model mAP: 0.2748162243
(Distributed) aggregation model model mAP: 0.2748162243
(Sequential) stochastic-combination model mAP: 0.2300172391
(Parallel) stochastic-combination model mAP: 0.2035031226
(Distributed) stochastic-combination model mAP: 0.210296318

GCP with 1000 train users and 10 test users

Songs: 17748
New songs: 1885
Elapsed time for (Distributed) user-based1: 1484891ms (1484891183020ns)
Elapsed time for (Distributed) item-based1: 574715ms (574715471321ns)
Elapsed time for (Distributed) user-based2: 1420594ms (1420594878316ns)
Elapsed time for (Distributed) item-based2: 606498ms (606498590813ns)
Elapsed time for (Distributed) linear combination: 11212ms (11212173798ns)
Elapsed time for (Distributed) aggregation model: 12169ms (12169649857ns)
Elapsed time for (Distributed) stochastic combination model: 10572ms (10572380416ns)
Elapsed time for (Distributed) user-based model mAP: 12487ms (12487388953ns)
Elapsed time for (Distributed) item-based model mAP: 13396ms (13396437813ns)
Elapsed time for (Distributed) linear-combination model mAP: 13107ms (13107499441ns)
Elapsed time for (Distributed) aggregation model mAP: 12161ms (12161913984ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 11728ms (11728255668ns)
(Distributed) user-based model mAP: 0.0308797122
(Distributed) item-based model mAP: 0.1107832411
(Distributed) linear-combination model mAP: 0.1128872417
(Distributed) aggregation model model mAP: 0.0713676829
(Distributed) stochastic-combination model mAP: 0.0811107242

GCP with 1000 train users and 100 test users

Songs: 28720
New songs: 2176
Elapsed time for (Distributed) user-based1: 6456360ms (6456360527017ns)
Elapsed time for (Distributed) item-based1: 2188633ms (2188633285944ns)
Elapsed time for (Distributed) user-based2: 5607922ms (5607922651110ns)
Elapsed time for (Distributed) item-based2: 2940547ms (2940547519188ns)
Elapsed time for (Distributed) linear combination: 24083ms (24083653467ns)
Elapsed time for (Distributed) aggregation model: 25625ms (25625904375ns)
Elapsed time for (Distributed) stochastic combination model: 23222ms (23222672280ns)
Elapsed time for (Distributed) user-based model mAP: 69804ms (69804751039ns)
Elapsed time for (Distributed) item-based model mAP: 72479ms (72479420315ns)
Elapsed time for (Distributed) linear-combination model mAP: 71194ms (71194940111ns)
Elapsed time for (Distributed) aggregation model mAP: 70002ms (70002738736ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 69433ms (69433599409ns)
(Distributed) user-based model mAP: 0.0385800219
(Distributed) item-based model mAP: 0.142942848
(Distributed) linear-combination model mAP: 0.1369886698
(Distributed) aggregation model model mAP: 0.0950991402
(Distributed) stochastic-combination model mAP: 0.101490377

GCP with 2000 train users and 100 test users

Songs: 44451
New songs: 1865
Elapsed time for (Distributed) user-based1: 24727672ms (24727672988947ns)
Elapsed time for (Distributed) item-based1: 16157675ms (16157675183404ns)
Elapsed time for (Distributed) linear combination: 60038ms (60038994146ns)
Elapsed time for (Distributed) aggregation model: 61191ms (61191362477ns)
Elapsed time for (Distributed) stochastic combination model: 50780ms (50780938492ns)
Elapsed time for (Distributed) user-based model mAP: 68756ms (68756818058ns)
Elapsed time for (Distributed) item-based model mAP: 74989ms (74989210957ns)
Elapsed time for (Distributed) linear-combination model mAP: 62710ms (62710235048ns)
Elapsed time for (Distributed) aggregation model mAP: 62156ms (62156142078ns)
Elapsed time for (Distributed) stochastic-combination model mAP: 62575ms (62575104084ns)
(Distributed) user-based model mAP: 0.0296820445
(Distributed) item-based model mAP: 0.1549078628
(Distributed) linear-combination model mAP: 0.0923070961
(Distributed) aggregation model model mAP: 0.0770281485
(Distributed) stochastic-combination model mAP: 0.0666806146

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