PyTorch eager
PyTorch · python · MIT
Kernel source · 45 lines ↓holds 1 record
Use it
Vendorable · source mirrored · MITView source →
No package. Vendor the mirrored source: 45 lines, MIT.
11_4D_tensor_matrix_multiplication.py
curl "https://kernelindex.com/api/v1/implementations/kernelbench-l1-11-4d-tensor-matrix-multiplication-torch?include=source"interfacepython · torch_eager
symbolModel.forward
Compatibility
measured onNVIDIA H100
declared hardwaredeclared only
architectures—
dtypes
Benchmark evidence
2 measurements across 1 GPU, fastest first.
Operation / workload
Hardware
Latency
Rank
Observed
Reported · How evidence levels are derived →
Source and license
sourceavailable
revision digestsha256:330c4e4337f326d742d2ba5512818c2207bc6dca0044822aba9b8535d26554bc
license declaredMIT
license concludedMIT
imported2026-08-26
Kernel source
11_4D_tensor_matrix_multiplication.py45 lines
import torch
import torch.nn as nn
class Model(nn.Module):
"""
Performs 4D tensor-matrix multiplication:
C[b, i, j, k] = sum_l A[b, i, j, l] * B[l, k]
Args:
A (torch.Tensor): Input 4D tensor of shape (b, i, j, l)
B (torch.Tensor): Input matrix of shape (l, k)
Returns:
torch.Tensor: Output 4D tensor of shape (b, i, j, k)
"""
def __init__(self):
super(Model, self).__init__()
def forward(self, A, B):
"""
Performs the 4D tensor-matrix multiplication.
Args:
A (torch.Tensor): Input 4D tensor of shape (b, i, j, l)
B (torch.Tensor): Input matrix of shape (l, k)
Returns:
torch.Tensor: Output 4D tensor of shape (b, i, j, k)
"""
return torch.einsum("bijl,lk->bijk", A, B)
# Test code
b = 8
i = 256
j = 512
l = 256
k = 768
def get_inputs():
A = torch.rand(b, i, j, l)
B = torch.rand(l, k)
return [A, B]
def get_init_inputs():
return [] # No special initialization inputs neededscrolls · 45 lines total
Source code from KernelBench, © 2023 Anne Ouyang, Simon Guo, Azalia Mirhoseini (Scaling Intelligence Lab, Stanford University), MIT License · MIT
Best evidence level for this revision: reported
JSON