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In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

机器学习 · 统计学 2026-03-23 Xinyu Liu , Hai Zhang

Diffusion-based generative models are extremely effective in generating high-quality images, with generated samples often surpassing the quality of those produced by other models under several metrics. One distinguishing feature of these…

机器学习 · 计算机科学 2022-10-25 Ashwini Pokle , Zhengyang Geng , Zico Kolter

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a powerful family of generative models that can yield high-fidelity samples and competitive log-likelihoods across a range of domains, including image and speech synthesis.…

机器学习 · 计算机科学 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

Mammography is the most commonly used imaging modality for breast cancer screening, driving an increasing demand for deep-learning techniques to support large-scale analysis. However, the development of accurate and robust methods is often…

图像与视频处理 · 电气工程与系统科学 2025-07-28 Xin Li , Kaixiang Yang , Qiang Li , Zhiwei Wang

While deep neural networks (NN) significantly advance image compressed sensing (CS) by improving reconstruction quality, the necessity of training current CS NNs from scratch constrains their effectiveness and hampers rapid deployment.…

计算机视觉与模式识别 · 计算机科学 2025-02-04 Bin Chen , Zhenyu Zhang , Weiqi Li , Chen Zhao , Jiwen Yu , Shijie Zhao , Jie Chen , Jian Zhang

Hyperspectral unmixing while considering endmember variability is usually performed by the normal compositional model (NCM), where the endmembers for each pixel are assumed to be sampled from unimodal Gaussian distributions. However, in…

计算机视觉与模式识别 · 计算机科学 2018-03-14 Yuan Zhou , Anand Rangarajan , Paul D. Gader

Recent advances in generative modeling with diffusion processes (DPs) enabled breakthroughs in image synthesis. Despite impressive image quality, these models have various prompt compliance problems, including low recall in generating…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Deepak Sridhar , Abhishek Peri , Rohith Rachala , Nuno Vasconcelos

Restricted Boltzmann machines (RBMs) and their extensions, called 'deep-belief networks', are powerful neural networks that have found applications in the fields of machine learning and artificial intelligence. The standard way to training…

机器学习 · 计算机科学 2018-10-25 Haik Manukian , Fabio L. Traversa , Massimiliano Di Ventra

Reverse sampling and score-distillation have emerged as main workhorses in recent years for image manipulation using latent diffusion models (LDMs). While reverse diffusion sampling often requires adjustments of LDM architecture or feature…

计算机视觉与模式识别 · 计算机科学 2024-09-24 Jeongsol Kim , Geon Yeong Park , Jong Chul Ye

Gaussian processes (GPs) are flexible models that can capture complex structure in large-scale dataset due to their non-parametric nature. However, the usage of GPs in real-world application is limited due to their high computational cost…

机器学习 · 统计学 2018-11-06 Congzheng Song , Yiming Sun

A diffusion probabilistic model (DPM), which constructs a forward diffusion process by gradually adding noise to data points and learns the reverse denoising process to generate new samples, has been shown to handle complex data…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Zhengxiong Luo , Dayou Chen , Yingya Zhang , Yan Huang , Liang Wang , Yujun Shen , Deli Zhao , Jingren Zhou , Tieniu Tan

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…

计算机视觉与模式识别 · 计算机科学 2024-12-30 Xiaoping Wu , Jie Hu , Xiaoming Wei

Data compression is a critical technology for large-scale plasma simulations. Storing complete particle information requires Terabyte-scale data storage, and analysis requires ad-hoc scalable post-processing tools. We propose a…

计算工程、金融与科学 · 计算机科学 2025-04-24 Andong Hu , Luca Pennati , Ivy Peng , Stefano Markidis

Accurate learning of system dynamics is becoming increasingly crucial for advanced control and decision-making in engineering. However, real-world systems often exhibit multiple channels and highly nonlinear transition dynamics, challenging…

机器学习 · 统计学 2025-10-20 Tengjie Zheng , Jilan Mei , Di Wu , Lin Cheng , Shengping Gong

Inverse design refers to the problem of optimizing the input of an objective function in order to enact a target outcome. For many real-world engineering problems, the objective function takes the form of a simulator that predicts how the…

We introduce the Fixed Point Diffusion Model (FPDM), a novel approach to image generation that integrates the concept of fixed point solving into the framework of diffusion-based generative modeling. Our approach embeds an implicit fixed…

计算机视觉与模式识别 · 计算机科学 2024-01-18 Xingjian Bai , Luke Melas-Kyriazi

We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

机器学习 · 计算机科学 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Seismic imaging from sparsely acquired data faces challenges such as low image quality, discontinuities, and migration swing artifacts. Existing convolutional neural network (CNN)-based methods struggle with complex feature distributions…

地球物理 · 物理学 2024-08-01 Xingchen Shi , Shijun Cheng , Weijian Mao , Wei Ouyang

Saddle point search schemes are widely used to identify the transition state of different processes, like chemical reactions, surface and bulk diffusion, surface adsorption, and many more. In solid-state materials with relatively large…

材料科学 · 物理学 2024-02-22 Seyyedfaridoddin Fattahpour , Sara Kadkhodaei

Denoising Diffusion Probabilistic Models (DDPMs) have gained great attention in adversarial purification. Current diffusion-based works focus on designing effective condition-guided mechanisms while ignoring a fundamental problem, i.e., the…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Jiancheng Zhang , Peiran Dong , Yongyong Chen , Yin-Ping Zhao , Song Guo