deep-delta-learn

Rust + Burn implementation of Deep Delta Learning (DDL) from the paper "Deep Delta Learning" (arXiv:2601.00417v1).

This repository provides:

• Core Delta operator (delta_update) for matrix-valued states.
• Generator branches for (k(X)), (\beta(X)), and (v(X)).
• A DeltaResidual block (Delta-Res) that wraps branches + the Delta update.

What is Delta-Res?

The Delta-Res update is a rank-1 residual transformation:

• Input state: (X \in \mathbb{R}^{B \times D \times V})
• Parameters from branches: (k \in \mathbb{R}^{B \times D}), (\beta \in \mathbb{R}^{B \times 1}), (v \in \mathbb{R}^{B \times V})
• Update: (X_{l+1} = X_l + \beta(X_l) k(X_l) (v(X_l)^T - k(X_l)^T X_l))

Shape conventions (Burn)

Burn tracks tensor rank at the type level (Tensor<B, const D: usize, ...>), so reductions behave differently than in PyTorch.

Critical conventions in this crate:

• Hidden state is always Tensor<B, 3> with shape [B, D, V].
• Branch outputs are always rank-2: k is [B, D], beta is [B, 1], v is [B, V].

Rank-preserving reductions: Operations like mean_dim and sum_dim are rank-preserving in Burn (e.g., sum_dim(1) on [B, D] yields [B, 1], not [B]).

• In branches.rs (pooling), we use squeeze::<2>() to explicitly drop singleton dimensions and return rank-2 tensors.
• In delta.rs, we leverage the preserved rank (e.g., [B, 1]) for correct broadcasting without needing extra unsqueeze calls.

Build and run

CPU (default):

cargo run --release

WGPU (cross-platform GPU):

cargo run --release --features wgpu

CUDA (NVIDIA GPU):

cargo run --release --features cuda

Run tests:

cargo test

Repository layout

• src/delta.rs: core Delta operators (Eq 2.5).
• src/branches.rs: generator branches for $k, \beta, v$.
• src/nn.rs: DeltaResidual and helper blocks.
• src/backend.rs: backend selection helper for Burn 0.18.
• src/main.rs: simple smoke test binary.