C-DAC's efforts: application kernels on HPC cluster with GPU accelerators
Bibliographic record
Abstract
We describe the problem of parallelization of finite difference method (FDM) and finite element method (FEM) computations for certain class of partial differential equations (PDEs) on High Performance Computing (HPC) GPU cluster. For FDM, the structured grids have been employed and optimal data rearrangement operations are performed in GPU computations. For FEM, unstructured triangular and hexahedral meshes are generated and graph partitioning METIS [14] software is used to generate load-balanced sub-domains. The iterative methods have been used to solve result algebraic matrix system of linear equations. A combination of MPI with CUDA and OpenCL enabled NVIDIA as well as OpenCL based AMD-ATI GPUs of HPC GPU Cluster have been used in our experiments [4,6,7,8]. Our experiments indicate that the MPI-CUDA codes based on FDM and FEM achieves nearly 6x speed-ups for large mesh sizes in comparison to host-cpu implementation of the same code. The un-optimized OpenCL implementation GPU times have shown marginal improvement in speed-ups whereas counterpart the CUDA codes achieved maximum speedup of 4x to 6x on HPC GPU Cluster. We presented performance analysis for different mesh sizes that prove performance capabilities of performance and scalability of FDM and FEM computations GPU cluster.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.009 | 0.004 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".