from __future__ import annotations import torch from torch import nn from torch.nn import functional as F class LinearSplineLayer(nn.Module): def __init__( self, input_dimensions: int, output_dimensions: int, grid_points: int, ) -> None: super().__init__() centers = torch.linspace(-1, 1, grid_points) self.register_buffer("centers", centers) self.spacing = float(centers[1] - centers[0]) self.coefficients = nn.Parameter( torch.randn(output_dimensions, input_dimensions, grid_points) * 0.05 ) self.base_weight = nn.Parameter( torch.randn(output_dimensions, input_dimensions) * 0.1 ) self.bias = nn.Parameter(torch.zeros(output_dimensions)) def forward(self, inputs: torch.Tensor) -> torch.Tensor: distance = torch.abs(inputs[:, :, None] - self.centers) basis = F.relu(1 - distance / self.spacing) spline = torch.einsum("big,oig->bo", basis, self.coefficients) return spline + F.linear(inputs, self.base_weight, self.bias) class SplineKAN(nn.Module): def __init__(self) -> None: super().__init__() self.first = LinearSplineLayer(2, 16, 14) self.second = LinearSplineLayer(16, 1, 8) def forward(self, inputs: torch.Tensor) -> torch.Tensor: hidden = torch.tanh(self.first(inputs)) return self.second(hidden) class MatchedMLP(nn.Module): def __init__(self) -> None: super().__init__() self.network = nn.Sequential( nn.Linear(2, 32), nn.Tanh(), nn.Linear(32, 16), nn.Tanh(), nn.Linear(16, 1), ) def forward(self, inputs: torch.Tensor) -> torch.Tensor: return self.network(inputs) def parameter_count(model: nn.Module) -> int: return sum(parameter.numel() for parameter in model.parameters())