mlsanityData to 7 Oct 2026

Resistive Memory-based Neural Differential Equation Solver for Score-based Diffusion Model

arXiv 2404.05648 ↗First posted 8 Apr 2024cs.AR cs.AI cs.ETcited by 0

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Human brains image complicated scenes when reading a novel. Replicating this imagination is one of the ultimate goals of AI-Generated Content (AIGC). However, current AIGC methods, such as score-based diffusion, are still deficient in terms of rapidity and efficiency. This deficiency is rooted in the difference between the brain and digital computers. Digital computers have physically separated storage and processing units, resulting in frequent data transfers during iterative calculations, incurring large time and energy overheads. This issue is further intensified by the conversion of inherently continuous and analog generation dynamics, which can be formulated by neural differential equations, into discrete and digital operations. Inspired by the brain, we propose a time-continuous and analog in-memory neural differential equation solver for score-based diffusion, employing emerging resistive memory. The integration of storage and computation within resistive memory synapses surmount the von Neumann bottleneck, benefiting the generative speed and energy efficiency. The closed-loop feedback integrator is time-continuous, analog, and compact, physically implementing an infinite-depth neural network. Moreover, the software-hardware co-design is intrinsically robust to analog noise. We experimentally validate our solution with 180 nm resistive memory in-memory computing macros. Demonstrating equivalent generative quality to the software baseline, our system achieved remarkable enhancements in generative speed for both unconditional and conditional generation tasks, by factors of 64.8 and 156.5, respectively. Moreover, it accomplished reductions in energy consumption by factors of 5.2 and 4.1. Our approach heralds a new horizon for hardware solutions in edge computing for generative AI applications.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 27 of its 74 references that are in the map. First posted on arXiv 8 Apr 2024.

Builds on

27 of 74 references.

Closest ancestors · 13

Same direction, newest first

  1. 2023Fast ODE-based Sampling for Diffusion Models in Around 5 Steps30 Nov
  2. 2023Consistency Models2 Mar
  3. 2023Geometry of Score Based Generative Models9 Feb
  4. 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models2 Nov
  5. 2022Diffusion Models: A Comprehensive Survey of Methods and Applications2 Sep
  6. 2022Classifier-Free Diffusion Guidance26 Jul
  7. 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun
  8. 2022Pseudo Numerical Methods for Diffusion Models on Manifolds20 Feb
  9. 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
  10. 2021Improved Denoising Diffusion Probabilistic Models18 Feb
  11. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
  12. 2020Denoising Diffusion Probabilistic Models19 Jun
1 more
  1. 2020Improved Techniques for Training Score-Based Generative Models16 Jun

Other references · 14

  1. 2023Adding Conditional Control to Text-to-Image Diffusion Modelscited by 5,466
  2. 2022Flow Matching for Generative Modelingcited by 5,426
  3. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
  4. 2018Neural Ordinary Differential Equationscited by 3,733
  5. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
  6. 2022DreamFusion: Text-to-3D using 2D Diffusioncited by 3,006
  7. 2021SDEdit: Guided Image Synthesis and Editing with Stochastic Differential Equationscited by 1,903
  8. 2019Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limitcited by 168
  9. 2019Neural SDE: Stabilizing Neural ODE Networks with Stochastic Noisecited by 98
  10. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
  11. 2020SDE-Net: Equipping Deep Neural Networks with Uncertainty Estimatescited by 75
  12. 2023Diffusion Models in NLP: A Surveycited by 16
2 more
  1. 2020One-step regression and classification with crosspoint resistive memory arrayscited by 7
  2. 2022Gradient-based Neuromorphic Learning on Dynamical RRAM Arrayscited by 2

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  3. 2024Diffusion models as probabilistic neural operators for recovering unobserved states of dynamical systems
  4. 2023Diffusion Models for Generative Artificial Intelligence: An Introduction for Applied Mathematicians
  5. 2024An Ordinary Differential Equation Sampler with Stochastic Start for Diffusion Bridge Models
  6. 2023Noise in the reverse process improves the approximation capabilities of diffusion models
  7. 2023Score-based Generative Modeling Through Backward Stochastic Differential Equations: Inversion and Generation
  8. 2026A Tutorial on Diffusion Theory: From Differential Equations to Diffusion Models