research/problems/mixed_gemm/resources/baseline.py

import torch
import torch.nn.functional as F

def linear_gelu(X: torch.Tensor, W: torch.Tensor, B: torch.Tensor) -> torch.Tensor:
    """
    Baseline linear layer with GELU activation implementation using PyTorch.
    
    Args:
        X: Input tensor of shape (M, K) - input features (float16)
        W: Weight tensor of shape (K, N) - weight matrix (float16)
        B: Bias tensor of shape (N,) - bias vector (float32)
    
    Returns:
        Output tensor of shape (M, N) - output with GELU activation (float16)
    """
    return F.gelu((X @ W) + B).to(torch.float16)