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We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

Machine Learning · Computer Science 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

Spatio-temporal biochemical signaling in a large class of protein-protein interaction networks is well modeled by a reaction-diffusion system. The global existence of the solution to the reaction-diffusion system is determined by the…

Optimization and Control · Mathematics 2013-08-09 Insoon Yang , Claire J. Tomlin

Masked diffusion models (MDMs) offer a promising non-autoregressive alternative for large language modeling. Standard decoding methods for MDMs, such as confidence-based sampling, select tokens independently based on individual token…

Computation and Language · Computer Science 2025-09-23 Daehoon Gwak , Minseo Jung , Junwoo Park , Minho Park , ChaeHun Park , Junha Hyung , Jaegul Choo

We introduce the Diffusion Chain of Lateral Thought (DCoLT), a reasoning framework for diffusion language models. DCoLT treats each intermediate step in the reverse diffusion process as a latent "thinking" action and optimizes the entire…

Computation and Language · Computer Science 2025-11-03 Zemin Huang , Zhiyang Chen , Zijun Wang , Tiancheng Li , Guo-Jun Qi

In this work, we show high order splitting methods of integration without negative steps, allowing us to solve numerically irreversible problems, like reaction-diffusion equations. The methods consist in a suitable affine combinations of…

Numerical Analysis · Mathematics 2014-10-21 Mariano De Leo , Diego Rial , Constanza Sanchez de la Vega

While latent diffusion models (LDMs), such as Stable Diffusion, are designed for high-resolution (HR) image generation, they often struggle with significant structural distortions when generating images at resolutions higher than their…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Boyuan Cao , Jiaxin Ye , Yujie Wei , Hongming Shan

One important property of DIstribution Correction Estimation (DICE) methods is that the solution is the optimal stationary distribution ratio between the optimized and data collection policy. In this work, we show that DICE-based methods…

Machine Learning · Computer Science 2024-11-01 Liyuan Mao , Haoran Xu , Xianyuan Zhan , Weinan Zhang , Amy Zhang

The reaction-diffusion master equation (RDME) is a lattice stochastic reaction-diffusion model that has been used to study spatially distributed cellular processes. The RDME is often interpreted as an approximation to spatially-continuous…

Numerical Analysis · Mathematics 2013-08-05 Samuel A Isaacson

We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Diffusion models (DMs) have achieved state-of-the-art generative performance but suffer from high sampling latency due to their sequential denoising nature. Existing solver-based acceleration methods often face significant image quality…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Ruoyu Wang , Ziyu Li , Beier Zhu , Liangyu Yuan , Hanwang Zhang , Xun Yang , Xiaojun Chang , Chi Zhang

Image restoration is a long-standing problem in low-level computer vision with many interesting applications. We describe a flexible learning framework based on the concept of nonlinear reaction diffusion models for various image…

Computer Vision and Pattern Recognition · Computer Science 2016-08-23 Yunjin Chen , Thomas Pock

Diffusion models have emerged as powerful generative tools across various domains, yet tailoring pre-trained models to exhibit specific desirable properties remains challenging. While reinforcement learning (RL) offers a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Fengyuan Dai , Zifeng Zhuang , Yufei Huang , Siteng Huang , Bangyan Liao , Donglin Wang , Fajie Yuan

Training stability is a persistent challenge in the pre-training of large language models (LLMs), particularly for architectures such as Post-Norm Transformers, which are prone to gradient explosion and dissipation. In this paper, we…

Computation and Language · Computer Science 2025-02-26 Ya Wang , Zhijian Zhuo , Yutao Zeng , Xun Zhou , Jian Yang , Xiaoqing Li

Controlling the behavior of language models (LMs) without re-training is a major open problem in natural language generation. While recent works have demonstrated successes on controlling simple sentence attributes (e.g., sentiment), there…

Computation and Language · Computer Science 2022-05-31 Xiang Lisa Li , John Thickstun , Ishaan Gulrajani , Percy Liang , Tatsunori B. Hashimoto

In this paper, a new re-initialization method for the conservative level-set function is put forward. First, it has been shown that the re-initialization and advection equations of the conservative level-set function are mathematically…

Numerical Analysis · Computer Science 2015-07-29 Tomasz Waclawczyk

Imitation learning is an efficient method for teaching robots a variety of tasks. Diffusion Policy, which uses a conditional denoising diffusion process to generate actions, has demonstrated superior performance, particularly in learning…

Robotics · Computer Science 2025-08-14 Zhuoqun Chen , Xiu Yuan , Tongzhou Mu , Hao Su

Diffusion models have emerged as a powerful class of generative models for molecular design, capable of capturing complex structural distributions and achieving high fidelity in 3D molecule generation. However, their widespread use remains…

Machine Learning · Computer Science 2026-01-15 Adrita Das , Peiran Jiang , Dantong Zhu , Barnabas Poczos , Jose Lugo-Martinez

Diffusion Probabilistic Models (DPMs) have emerged as the de facto approach for high-fidelity image synthesis, operating diffusion processes on continuous VAE latent, which significantly differ from the text generation methods employed by…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Xiaoping Wu , Jie Hu , Xiaoming Wei

Diffusion models (DMs) have significantly advanced the development of real-world image super-resolution (Real-ISR), but the computational cost of multi-step diffusion models limits their application. One-step diffusion models generate…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Jianze Li , Jiezhang Cao , Yong Guo , Wenbo Li , Yulun Zhang

This work develops robust diffusion recursive least squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially…

Machine Learning · Computer Science 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu