Image Denoising With Symplectic Adjoint Guidance Updates

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Solution Overview

Problem

Existing guided image generation methods using diffusion models face challenges with low flexibility due to training-based approaches and inaccuracies in training-free methods, particularly in face ID-guided generation, leading to misalignment and memory inefficiencies in gradient backpropagation.

Innovation Solution

The Symplectic Adjoint Guidance (SAG) method employs a training-free approach that uses multi-step denoising and a symplectic adjoint method for numerical integration to compute guidance updates, reducing memory usage and improving gradient backpropagation accuracy by iteratively applying guidance updates based on image generation prompts and reference images.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If training-based approaches are used for guided image generation, then guidance accuracy is improved, but flexibility deteriorates due to training requirements

Engineering Contradiction:
Improveguidance accuracyVSAvoidflexibility
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent replaces the training-based mechanical system with a training-free mathematical approach using symplectic adjoint integration. Instead of training a model to learn guidance mappings, the system uses numerical integration of adjoint differential equations to compute guidance updates on-the-fly, achieving both accuracy and flexibility.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent changes the fundamental parameter of the approach from trained weights to numerical integration parameters. By using symplectic adjoint integration with configurable timestep counts and integration steps, the system achieves accurate guidance without training, allowing flexible adaptation to different guidance conditions.

Inventive Principle:
Principle #35Parameter changes

2Adaptability or versatility

If training-free methods are used for guided image generation, then flexibility is improved, but guidance accuracy deteriorates due to misalignment issues

Engineering Contradiction:
ImproveflexibilityVSAvoidguidance accuracy
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The patent replaces simple training-free gradient backpropagation with a sophisticated symplectic adjoint integration system. This numerical integration approach accurately tracks gradient flow through the diffusion process, eliminating misalignment issues while maintaining training-free flexibility.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent implements feedback through the adjoint integration process, where gradients are continuously computed and applied throughout the diffusion timesteps. This feedback mechanism ensures accurate guidance by continuously adjusting the generated image based on the guidance condition, preventing misalignment.

Inventive Principle:
Principle #23Feedback

3Device complexity

If conventional gradient backpropagation is used, then implementation simplicity is improved, but memory efficiency deteriorates

Engineering Contradiction:
Improveimplementation simplicityVSAvoidmemory usage
Core Design Contradiction:
Device complexityVSQuantity of substance

Solution Approach 1:

The patent segments the gradient backpropagation process into discrete integration timesteps. By dividing the backward pass into multiple smaller integration steps, the system processes gradients incrementally, reducing peak memory requirements while maintaining computational accuracy through the symplectic integration scheme.

Inventive Principle:
Principle #1Segmentation

4Manufacturing precision

If multi-step denoising with guidance updates is applied, then image generation accuracy is improved, but computational complexity increases

Engineering Contradiction:
Improveimage generation accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent extracts the guidance computation from the main diffusion loop and performs it through separate adjoint integration passes. By separating the forward diffusion process from the backward guidance integration, the system reduces computational complexity while maintaining multi-step denoising accuracy through targeted guidance updates.

Inventive Principle:
Principle #2Taking out (Extraction)

Data Source

PatentUS20250245791A1Image denoising with guidance updates
Publication Date: 2025.07.31 LEMON INC(GB)
  • US20250245791A1 patent drawing
  • US20250245791A1 patent drawing
  • US20250245791A1 patent drawing

AI summary

A computing system including one or more processing devices configured to receive an image generation prompt and a reference image. Over a plurality of denoising timesteps, the one or more processing devices compute a guided image by applying denoising updates to a generated image at a denoising diffusion model. At a subset of the denoising timesteps, computing the guided image further includes applying guidance updates to the generated image based on the image generation prompt, the reference image, and a generated image set. The one or more processing devices compute each guidance update by performing a forward pass and a backward pass in first and second integration timesteps. A size of the generated image set and numbers of the first and second integration timesteps are each equal to a predefined integration timestep count. The one or more processing devices output a final generated image computed in a final denoising timestep.