- 1. Basics
- 2. Review committee
- 3. Operating principles
- 4. Schedule
- 5. Submission
- 5.1. Registration
- 5.2. Github repo
- 5.3. Licensing
- 5.4. Verification
- 5.5. Submission content
- 5.6. Directory structure
- 5.7. <system_desc_id>.json metadata
- 5.8. <system_desc_id>_<implementation_id>_<scenario>.json metadata
- 5.9. Logging requirements
- 5.10. Source code requirements for replication
- 5.11. Source code requirements for inference inspection
- 5.12. Source code requirements for training inspection
- 5.13. Compliance Testing
- 6. Review
- 7. Publication
- 8. After publication
- 9. Appendices
These rules describe the submission, review, and publication process for all MLPerf benchmark suites. There are separate rules that govern what to submit for each MLPerf benchmark suite, including:
Unless otherwise stated all rules apply to closed and open.
The MLPerf submission, review, and publication process is overseen by a review committee.
The review committee consists of the following people:
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The chair or chairs of the following working groups:
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[ Inference or training, whichever is being submitted ] results
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[ Inference or training, whichever is being submitted ] submitters
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[ Inference or training, whichever is being submitted ] special topics
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Power
-
-
Until such time a permanent host organization exists:
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The general chair
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-
When a permanent host organization exists:
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The executive director
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The chairperson of the board
-
-
For v0.5 only, and only for the review process: One representative of each accelerator vendor (as opposed an OEM or system vendor) who submitted and is not otherwise represented above, provide that in the opinion of the majority of the above said representative is a significant contributor to MLPerf through active participation in one or more working groups.
If representatives of a single organization, its parents, subsidiaries, affiliates, or contractors hold multiple positions on this list, only one such representative is eligible to serve on the review committee.
The review committee is chaired by the relevant results working group chair, e.g. training results working chair during a training submission review. For this reason, the results working groups may never have multiple chairs.
The review committee makes decisions during properly scheduled meetings. The base meeting schedule is dictated by the review process. The review committee chair may schedule additional meetings during the review process in the course of any meeting or by emailing all committee members (e.g. mlperf-chairs mailing list) at least 24 hours in advance.
The review committee has a quorum if it includes an eligible chair and at four other eligible members.
Review committee meetings are typically held at a specific location determined by the review committee chair and in-person attendance is encouraged, but virtual attendance is to be enabled and allowed.
Review committee meetings are open only to the review committee and all submitters in the current submission round.
The review committee agenda is set by, and decisions are tracked, using issues filed against the Github submission repo. In general, issues must be filed as dictated by the review process schedule. Exceptions are discouraged but may be allowed during a meeting by a vote of the review committee. In general, issues are decided in the order filed, but the chair may choose a different order if circumstances warrant.
The review committee should attempt to decide issues through discussion and grudging consensus whenever possible. However, if the review committee and all submitters are unable to reach a grudging consensus, the review committee will vote to decide the issue.
Review committee votes are determined by a majority of eligible review committee members attending a meeting. In the event of a tie, the committee chair has the casting vote. Votes are initiated by the chair, and are cast openly and may be cast verbally or using a shared spreadsheet or other voting software.
The review committee operates on balance of interests rather than by avoiding conflict of interest. Members may cast votes on all matters, including those directly affecting benchmark submissions made by their organization, as a practical response to the fact that competitors are also on the review committee.
Because the submission round is confidential to the submitters, the review committee agenda, deliberations, and specific decisions are confidential and shared only with committee members and submitters for that round. The general nature of decisions may be shared outside the review process because such decisions may expose the need for rules changes.
The private submission repo will be deleted when the next MLPerf submission repo is created, or after 90 days.
Review committee decisions do not create precedents. Instead, the decisions should be explicitly incorporated into the rules through the normal process.
MLPerf’s purpose is to produce fair and useful benchmark results.
The MLPerf review committee reserves the right to amend these rules and/or exclude submissions that conflict with this purpose with a two-thirds (rounded up) vote. For instance, if the schedule is discovered to be untenable in practice, it may be amended. If a submission is judged to be deceptive or not of interest to the community, it may be excluded.
The role of the review process is to ensure fairness of submissions, not to litigate details in an effort to disquality competitors. For example:
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Reviewing submitters should discuss issues with owning submitters after filing objections, and attempt to resolve the issue if possible.
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If an objection is supported by the review committee, the objecting submitter should communicate with the owning submitter to ensure a satisfactory fix.
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Issues in submission that are agreed to require correction, but that do not meaningfully impact performance (less than 2% cumulative performance difference) or competitive ordering may be waived by the review committee, subject to its discretion, and with the understanding that the submitter will correct the issue in future submissions.
MLPerf has several submission rounds each year. Each submission round follows a detailed schedule.
The submission schedule is to be set yearly, and must be approved by both the inference and training submitters meetings. The following is the remaining 2019 submission schedule.
Submission round |
Submission date |
Inference v0.5 |
October 11th |
The following is the draft 2020 submission schedule:
Submission round |
Submission date |
Training v0.7 |
June 26 |
Inference v0.7 |
September 4 |
Training v0.8 |
November 13 [tentative] |
Each submission round has the following detailed schedule, which has three major phases:
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Submission
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Review
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Objection filing
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Objection review
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Objection revision
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Publication
Each of these phases is described in more detail later in this document.
Day |
Meeting or deadline (all deadlines are 11:59pm San Jose unless otherwise specified) |
Week -2 |
Presubmission |
Monday |
|
Tuesday |
|
Wednesday |
Submitters must sign CLA and provide primary and secondary POCs with Github handles and email addresses |
Thursday |
|
Friday |
Submitters WG chair creates submission repo. Gives all submitters access. Sends submitter POCs test email requesting they make a test submission to confirm access. |
Week -1 |
Presubmission |
Monday |
|
Tuesday |
|
Wednesday |
|
Thursday |
|
Friday |
All “due in advance” writeups due (e.g. for inference calibration / weight transformation) |
Submitters WG chair distributes random seed(s) for load generation (inference only) |
|
Week 0 |
Submission |
Monday |
|
Tuesday |
|
Wednesday |
|
Thursday |
Last opportunity to notify chair that you will not submit |
Friday |
1:00pm San Jose: Submit all required artifacts to the Github repo |
1:30pm San Jose: Results summary distributed by the Submitters working group chair |
|
Week 1 |
Review: objection filing |
Monday |
Begin drafting neutral press release [general chair until org, then executive director] |
Tuesday |
Review committee meeting, discuss objections |
Wednesday |
|
Thursday |
Review committee meeting, discuss objections |
Friday |
Objections due in Github, audit results due in GitHub for open and closed |
Week 2 |
Review: objection review |
Monday |
Submitter response to objections |
Tuesday |
Review committee meeting, makes easy decisions and requests information about difficult ones |
Wednesday |
Requested information due |
Distribute neutral press release for comment by [general chair until org, then executive director] |
|
Thursday |
Review committee meeting, makes any remaining decisions |
Friday |
|
Week 3 |
Review: objection revision |
Monday |
Must declare all intended hyperparameter borrowing (training only) |
Tuesday |
Review committee meeting, discusses any fixes and borrowing |
Wednesday |
Final code due |
Thursday |
Review committee meeting, decides to approve/reject fixes if required |
Approve final draft of press release" |
|
Friday |
1:00pm San Jose: Final results in human readable form due |
1:00pm San Jose: Final opportunity to withdraw some or all results |
|
1:30pm San Jose: Results summary distributed by Submitters WG chair |
|
Week 4 |
Publication |
Monday |
Press and analyst pre-briefings allowed under embargo, all briefings to include neutral press release |
1:00pm San Jose: Draft of results page available for comment |
|
Tuesday |
1:00pm San Jose: Corrections to results page due |
5:00pm San Jose: Results page and press release live on staging site |
|
Wednesday |
10:00am San Jose: results and PR public, press embargo ends |
The submission process defines how to submit code and results for review and eventual publication.
Submitters must register with the submitters working group and begin attending meetings at least eight weeks before the deadline. In order to register, a submitter or their org must sign the relevant CLA and provide primary and secondary github handles and primary and secondary POC email address.
MLPerf will provide a private Github repository for submissions. Each submitter will submit one or more pull requests containing their submission to the appropriate Github repo before the submission deadline. Pull requests may be amended up until the deadline.
All submissions of code must be made under the MLPerf CLA, which is temporarily the Google open source CLA. Per the CLA, all submissions of code will be Apache 2 compatible. Third party libraries need not be Apache 2 licensed.
A submission must pass the package checker script and the result summarizer script must be capable of extracting the correct results. Specifically, the following commands must not generate errors:
python3 -m mlperf_logging.package_checker <YOUR SUBMISSION_FOLDER> training 0.7.0 python3 -m mlperf_logging.result_summarizer <YOUR SUBMISSION_FOLDER> training 0.7.0
A submission must contain the following:
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Metadata for the systems under test
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Code that implements the benchmarks
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Metadata that describes each system-implementation combination tested
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Scripts that setup and execute each system-implementation tested
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Result logs for each system-implementation tested
A submission is for one code base for the benchmarks submitted. An org may make multiple submissions. A submission should take the form of a directory with the following structure. The structure must be followed regardless of the actual location of the actual code, e.g. in the MLPerf repo or an external code host site.
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<submitting_organization>/
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systems/
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<system_desc_id>.json
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benchmarks/
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<benchmark_name per reference>/ [TODO: rename the reference directories]
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implementations/
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<implementation_id>/
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<arbitrary stuff>
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-
<system_desc_id>/
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<system_desc_id>_<implementation_id>.json
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README.md
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setup.sh (one-time configuration script)
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init_datasets.sh (one-time dataset init script)
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run_and_time.sh (run the benchmark and produce a result)
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-
-
-
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results/
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<system_desc_id>/
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<benchmark>/
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result_<i>.txt # log file
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-
-
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System names and implementation names may be arbitrary.
Training benchmark directory names must be one of { resnet, ssd, maskrcnn, transformer, gnmt, ncf, minigo }.
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<submitting_organization>/
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systems/
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<system_desc_id>.json # combines hardware and software stack information
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code/
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<benchmark_name per reference>/
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<implementation_id>/
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<Code interface with loadgen and other arbitrary stuff>
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-
-
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measurements/
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<system_desc_id>/
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<benchmark>/
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<scenario>
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<system_desc_id>_<implementation_id>_<scenario>.json
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README.md
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user.conf
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mlperf.conf
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calibration_process.adoc
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-
-
-
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results/
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<system_desc_id>/
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<benchmark>/
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<scenario>
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performance/
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run_x/ # 5 runs for Server scenario, 1 run for the other scenarios
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mlperf_log_summary.txt
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mlperf_log_detail.txt
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-
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accuracy/
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mlperf_log_summary.txt
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mlperf_log_detail.txt
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mlperf_log_accuracy.json # truncated by truncate_accuracy_log.py if too large
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accuracy.txt # stdout of reference accuracy scripts
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-
-
-
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compliance_checker_log.txt
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compliance/
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<system_desc_id>/
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<benchmark>/
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<scenario>
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<test_id>
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performance/
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run_1/ # 1 run for every scenario
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mlperf_log_summary.txt
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mlperf_log_detail.txt
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-
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accuracy/
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accuracy.txt # for TEST01 only, generated from truncate_accuracy_log.py
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mlperf_log_accuracy.json # only necessary for TEST01
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baseline_accuracy.txt # only for TEST01 if accuracy check fails
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compliance_accuracy.txt # only for TEST01 if accuracy check fails
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verify_performance.txt
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verify_accuracy.txt # for TEST01 only
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-
-
-
-
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System names and implementation names may be arbitrary.
<benchmark> must be one of {resnet50, ssd-mobilenet, ssd-resnet34, rnnt, bert-99, bert-99.9, dlrm-99, dlrm-99.9, 3d-unet-99, 3d-unet-99.9}. The postfix '-99' and '-99.9' indicate that the accuracy must be >= 99% or 99.9% of the target accuracy.
<scenario> must be one of {Offline, Server, SingleStream, MultiStream}.
<test_id> must be one of {TEST01, TEST04-A, TEST04-B, TEST05}.
Here is the list of mandatory files for all submissions in any division/category. However, your submission should still include all software information and related information for results replication.
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mlperf_log_summary.txt
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mlperf_log_detail.txt
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mlperf_log_accuracy.json
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user.conf
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calibration or weight transformation related code if the original MLPerf models are not used
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actual models if the models are not deterministically generated
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READMEs to enable users to replicate performance results
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code which interfaces with the loadgen
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<system_desc_id>_<implementation_id>_<scenario>.json
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<system_desc_id>.json
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compliance_checker_log.txt
For some models mlperf_log_accuracy.json can get very large. Because of this we truncate mlperf_log_accuracy.log in submissions using a tool. A submiter will run the tool before submitting to mlperf and keep the original mlperf_log_accuracy.log files inside their organization. The original files might be requested by mlperf during submission review so you need to store them. Run the tool as follows, assuming <SOURCE> is your local subumission tree and <DEST> the location of the github submission repo:
# from top of the inference source tree
python3 tools/submission/truncate_accuracy_log.py --input <SOURCE> --output <DEST>
The file <system_desc_id>.json should contain the following metadata describing the system:
Field |
Meaningful response required |
Cloud example |
On-premise example1 |
On-premise example2 |
submitter |
Yes |
David Kanter |
David Kanter |
|
division |
Yes |
closed |
Closed |
Open |
system_type |
Yes |
datacenter |
datacenter |
edge |
status |
Yes |
available |
available |
available |
system_name |
Yes |
tpu-v3 |
8ball |
8ball |
number_of_nodes |
Yes |
1 |
1 |
1 |
host_processors_per_node |
Yes |
1 |
2 |
2 |
host_processor_model_name |
Yes |
Intel Skylake |
Intel Xeon Platinum 8164 |
Intel Xeon Platinum 8164 |
host_processor_core_count |
Yes, or vcpu |
26 |
26 |
|
host_processor_vcpu_count |
Yes, or core |
96 |
||
host_processor_frequency |
2000MHz |
2000MHz |
||
host_processor_caches |
L1: 32KB I + 32KB D per core, L2: 1MB I+D per core, L3: 37.75MB I+D per chip |
L1: 32KB I + 32KB D per core, L2: 1MB I+D per core, L3: 37.75MB I+D per chip |
||
host_processor_interconnect |
3x 10.6GT/s UPI |
3x 10.6GT/s UPI |
||
host_memory_capacity |
Yes |
128GB |
384GB |
384GB |
host_storage_type |
Yes |
SSD |
SSD |
SSD |
host_storage_capacity |
Yes |
1 200 GB + 1 50 GB |
800GB |
800GB |
host_networking |
N/A |
N/A |
||
host_networking_topology |
N/A |
N/A |
||
host_memory_configuration |
12 x 32GB 2Rx4 PC4-2666V-R |
12 x 32GB 2Rx4 PC4-2666V-R |
||
accelerators_per_node |
Yes |
16 |
4 |
4 |
accelerator_model_name |
Yes |
tpu-v3 |
Nvidia Tesla V100 |
Nvidia Tesla V100 |
accelerator_host_interconnect |
PCIe 3.0 x16 |
PCIe 3.0 x16 |
||
accelerator_frequency |
1230MHz |
1230MHz |
||
accelerator_on-chip_memories |
L1: 80x 128KB, L2: 6MB per chip |
L1: 80x 128KB, L2: 6MB per chip |
||
accelerator_memory_configuration |
Yes |
HBM |
HBM2 |
HBM2 |
accelerator_memory_capacity |
Yes |
32 GB |
32GB |
32GB |
accelerator_interconnect |
6x 25GT/s NVLink |
6x 25GT/s NVLink |
||
accelerator_interconnect_topology |
Direct |
Mesh |
||
cooling |
Liquid |
Air-cooled |
||
hw_notes |
I overclocked it! |
Miscellaneous notes |
||
framework |
Yes |
TensorFlow 1.14 commit hash = faf9db515c4bf550daacc1c3a22fedf3ff5dde63 |
PyTorch, NGC19.05 |
PyTorch, NGC19.05 |
other_software_stack |
Yes |
TPU stack 1.14.1.dev20190518, python 3.6, sacrebleu 1.2.11 |
cuda 10.2.0.163, cudnn 7.6.0.64, cublas 10.2.0.163, gcc 5.4.0 |
cuda 10.2.0.163, cudnn 7.6.0.64, cublas 10.2.0.163, gcc 5.4.0 |
operating_system |
Yes |
Ubuntu 16.04 |
Ubuntu 18.04.1 LTS |
Ubuntu 18.04.1 LTS |
sw_notes |
extra notes here |
extra notes here |
The file <system_desc_id>_<implementation_id>.json should metadata describing use of the specified implementation on the specified system.
Field |
Meaningful response required |
DK_Example_1 |
DK_Example_2 |
Starting weights filename? |
Yes |
https://zenodo.org/record/2269307/files/mobilenet_v1_1.0_224.tgz |
https://zenodo.org/record/2269307/files/mobilenet_v1_1.0_224.tgz |
Weight transformations? |
Yes |
No |
Yes (URL_to_calibration_writeup) |
Weight data type(s) |
Yes |
fp32 |
bf16 |
Input data type(s) |
Yes |
fp32 |
bf16 |
Retraining |
Yes |
No |
Yes (URL_to_writeup) |
For Training, the results logs must be verified and stamped by the training log verification script [TODO log]. The easiest way to produce such a log is to use the
For Inference, the results logs must have been produced by the [standard load generator](https://github.com/mlperf/inference/tree/master/loadgen). Power information may be appended using the standard power information appending script [TODO link or remove].
The following section applies to all submissions in all divisions.
The source code must be sufficient to reproduce the results of the submission, given all source components specified. Any software component that would be required to substantially reproduce the submission must be uniquely identified using one of the following methods:
Software Component |
Possible methods for replication |
Considered “Available” for Category purposes (see later section) |
Source code or binary included in the submission repo |
--- |
Yes |
Depends only on public Github repo |
Commit hash or tag |
Yes |
Depends only on public Github repo plus one or more PRs |
Commit hash or tag, and PR number(s) |
Yes |
Depends only on an available binary (could be free to download or for purchase / customers only) |
Name and version, or url |
Yes, if the binary is a Beta or Production release |
Depends on private source code from an internal source control system |
Unique source identifier [i.e., gitlab hash, p4 CL, etc] |
No |
Private binary |
Checksum |
No |
The following section applies to all submissions in the Closed division. We encourage Open division submissions to be as transparent as possible. We will re-examine in v0.6.
For inference, the source code, pseudo-code, or prose description must be sufficient to determine:
-
The connection to the loadgen
-
Preprocessing
-
The architecture of the model, and the operations performed
-
Weights (please notify results chair if > 2 GB combined)
-
Weight transformations
-
If weight transformations are non-deterministic, then any randomness seeds used must be included in the submission.
-
For the inference server scenario, the source code, pseudo-code, or prose must be sufficient to determine:
-
Online batching, meaning how the server batches queries for processing
For training, the source code must be sufficient to verify all aspects of a Closed submission including but not limited to: * Data preprocessing * Data traversal order * Model * Model initialization * Optimizer used * Hyperparameters used * Evaluation frequency * Evaluation method
This requirement applies even to Open submissions, though the aspects do not need to match the reference.
Submitters must run the compliance tests to verify that their submission achieves a basic level of compliance with a subset of the MLPerf rules. If compliance testing identifies a potential issue with the submission, the onus is on the submitter to provide an adequate explanation to the working group.
Refer to the documentation found under https://github.com/mlperf/inference/tree/master/compliance/nvidia
During the review process, only certain groups are allowed to inspect results and code.
Group |
Can Inspect |
Review committee |
All results, all code |
Submitters |
All results, all code |
Public |
No results, no code |
Each submitter is required to review at least one other submission. Required reviews are assigned as follows:
-
Stack rank submissions by number of results.
-
Assign reviewers in pairs walking down the stack rank
-
If an odd number of reviewers, the bottom 3 in the stack rank will review each other.
Submitters must officially file objections to other submitter’s code by creating a GitHub issue prior to the “Filing objections” deadline that cites the offending lines, the rules section violated, and, if pertinent, corresponding lines of the reference implementation that are not equivalent.
Each submitter must file objections with a “by <org>” tag and a “against <org>” tag. Multiple organizations may append their “by <org>” to an existing objection if desired. If an objector comes to believe the objection is in error they may remove their “by <org>” tag. All objections with no “by <org>” tags at the end of the filing deadline will be closed.
Submitters should file an objection, then discuss with the submitter to verify if the objection is correct. Following filing of an issue but before resolution, both objecting submitter and owning submitter may add comments to help the review committee understand the problem.
If the owning submitter acknowledges the problem, they may append the “fix_required” tag and begin to fix the issue.
The review committee will review each objection, and either establish consensus or vote. If the committee votes to support an objection, it will provide some basic guidance on an acceptable fix and append the “fix_required” tag. If the committee votes against an objection, it will close the issue.
Code should be updated via a pull request prior to the “fixing objections” deadline. Following submission of all fixes, the objecting submitter should confirm that the objection has been addressed with the objector(s) and ask them to remove their “by <org> tags.
If the objector is not satisfied by the fix, then the review committee will decide the issue at its final review meeting. The review committee may vote to accept a fix and close the issue, or reject a fix and request the submission be moved to open or withdrawn.
Hyperparameters may be updated in accordance with the training rules prior to the final code due date.
MLPerf will publish all results simultaneously via an update to the results page. After publication, code and results are public and free for use under the MLPerf Terms of Use.
Each results table will contain the following information:
Field |
Description |
TBD |
TBD |
Results will be divided into categories based on the availability of the hardware and software components
Category |
Hardware |
Software |
Available in cloud |
Available for rent in the cloud |
Available |
Available on premise |
Available for purchase |
Available |
Preview |
Must be available for rent or purchase in time for the next submission or within 180 days whichever is longer |
Available except for software required to support substantially new hardware |
Research, Development, or Internal |
Does not meet the above requirements |
Does not meet the above requirements |
Available cloud systems must (1) have available pricing (either publicly advertised or available by request), (2) have been rented by at least one third party, (3) have public evidence of availability (web page saying product is available, statement by company, etc), and (4) be “reasonably available” for rent by additional third parties by the submission date.
An on-premise system is Available if all of its components that substantially determine ML performance are Available either individually or in aggregate (development boards that meet the substantially determine clause are allowed). An Available component or system must (1) have available pricing (either publicly advertised or available by request), (2) have been shipped to at least one third party, (3) have public evidence of availability (web page saying product is available, statement by company, etc), and (4) be “reasonably available” for purchase by additional third parties by the submission date. In addition, submissions for on-premise systems must describe the system and its components in sufficient detail to enable third parties to build a similar system.
In both cases, “reasonably available” means:
-
Supply and lead times are appropriate for system scale, i.e. on-demand and in quantity for the smallest systems and a few months and with limited supply for the largest systems.
-
Access to rent or purchase may be subject to conditions that are common to generally available products (such as financial qualifications, size of customer, support burden, export restrictions, etc.) but is not otherwise restricted (i.e. no “early access” approval requirements).
However, it is allowed for the qualifying pre-submission rentals/purchases to have been made with restrictions such as “early access” approval.
Available systems must use an Available software stack. A software stack consists of the set of software components that substantially determine ML performance but are not in the uploaded source code. For instance, for training this includes at a minimum any required ML framework (e.g. TensorFlow, pyTorch) and ML accelerator library (e.g. cuDNN, MKL). An Available software stack consists of only Available software components.
An Available software component must be well supported for general use. For open source software, you must base the software on any commit in an "official" repo plus a PR to support a particular architecture. For binaries, the binary must be made available as release, or as a "beta" release with the requirement that optimizations will be included in a future "official" release. The beta must be made available to customers as a clear part of the release sequence. The software must be available at the time of submission.
A Preview system is a system which will meet the requirements of an Available system within 180 days of the submission date, or by the next MLPerf submission date, whichever is more, and which the submitter commits to submitting as an Available system by that time. If it is not submitted in that submission round with equal or better performance (allowing for noise), the Preview submission will be marked as invalid. Systems are exempt from this requirement if the submitted benchmarks are retired or changed to such a degree as no longer reasonably runnable on that system.
If a Preview system contains a newly developed hardware component (e.g. a new ML accelerator) that is a substantial contributor to the determination of ML performance, then for that submission only, the “Available software stack” requirement is waived for software that is necessary to support that component. Otherwise, Preview systems must meet the same Available software stack requirements as an Available system. For example, the first shipping version of a new accelerator need not meet the Available _software stack requirements, but subsequent SKUs of that accelerator are not considered newly developed, and must meet _Available software stack requirements.
A research, development, or internal (RDI) component does not meet the requirements for an available or preview component. An RDI system is a system containing one or more RDI components. The RDI components may not be submitted as Available components until the submission cycle after next or 181 days whichever is longer
Any use of published results in connection with the MLPerf trademark must follow the [terms of use.](https://github.com/mlperf/policies/blob/master/TERMS%20OF%20USE.md)
If a substantial issue (>5% cumulative change) with a closed division result is discovered after publication and confirmed by the review committee, the result may be fixed if possible in a two week timeframe, otherwise moved to the open division if possible, or marked non-compliant if necessary.
The appendices contain additional information.