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Spectrum sensing allows cognitive radio systems to detect relevant signals in despite the presence of severe interference. Most of the existing spectrum sensing techniques use a particular signal-noise model with certain assumptions and…

Information Theory · Computer Science 2021-12-07 Nupur Choudhury , Kandarpa Kumar Sarma , Chinmoy Kalita , Aradhana Misra

Score-based diffusion models have achieved remarkable empirical success in generating high-quality samples from target data distributions. Among them, the Denoising Diffusion Probabilistic Model (DDPM) is one of the most widely used…

Machine Learning · Statistics 2025-12-16 Yuchen Jiao , Yuchen Zhou , Gen Li

Diffusion models generate samples by reversing a fixed forward diffusion process. Despite already providing impressive empirical results, these diffusion models algorithms can be further improved by reducing the variance of the training…

Machine Learning · Computer Science 2023-02-20 Yilun Xu , Shangyuan Tong , Tommi Jaakkola

Score-based diffusion models represent a significant variant within the diffusion model family and have seen extensive application in the increasingly popular domain of generative tasks. Recent investigations have explored the denoising…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Hao Mo , Yaping Sun , Shumin Yao , Hao Chen , Zhiyong Chen , Xiaodong Xu , Nan Ma , Meixia Tao , Shuguang Cui

Diffusion models trained on different, non-overlapping subsets of a dataset often produce strikingly similar outputs when given the same noise seed. We trace this consistency to a simple linear effect: the shared Gaussian statistics across…

Machine Learning · Computer Science 2026-02-04 Binxu Wang , Jacob Zavatone-Veth , Cengiz Pehlevan

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Score matching is an alternative to maximum likelihood estimation when the normalizing constant is unknown or too costly to evaluate. However, vanilla score matching has shown to be inefficient relative to maximum likelihood estimation for…

Machine Learning · Statistics 2026-05-25 Benedikt Lütke Schwienhorst , Nadja Klein , Johannes Lederer

Diffusion models have achieved remarkable success in generating high-resolution, realistic images across diverse natural distributions. However, their performance heavily relies on high-quality training data, making it challenging to learn…

Machine Learning · Computer Science 2025-05-22 Tianyu Chen , Yasi Zhang , Zhendong Wang , Ying Nian Wu , Oscar Leong , Mingyuan Zhou

We present a mechanism to steer the sampling diversity of denoising diffusion and flow matching models, allowing users to sample from a sharper or broader distribution than the training distribution. We build on the observation that these…

Machine Learning · Computer Science 2026-05-26 Yanbo Xu , Yu Wu , Sungjae Park , Zhizhuo Zhou , Shubham Tulsiani

The recent success of inference-time scaling in large language models has inspired similar explorations in video diffusion. In particular, motivated by the existence of "golden noise" that enhances video quality, prior work has attempted to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Zengqun Zhao , Ziquan Liu , Yu Cao , Shaogang Gong , Zhensong Zhang , Jifei Song , Jiankang Deng , Ioannis Patras

Score estimation is the backbone of score-based generative models (SGMs), especially denoising diffusion probabilistic models (DDPMs). A key result in this area shows that with accurate score estimates, SGMs can efficiently generate samples…

Machine Learning · Statistics 2025-04-08 Sinho Chewi , Alkis Kalavasis , Anay Mehrotra , Omar Montasser

We study denoising score matching (DSM) when the latent distribution is supported on a smooth embedded manifold $M \subset \mathbb{R}^D$. Under ambient Gaussian corruption, the tangent denoising target contains a singular normal-fiber noise…

Machine Learning · Statistics 2026-05-28 Divit Rawal

Multi-task learning for dense prediction is limited by the need for extensive annotation for every task, though recent works have explored training with partial task labels. Leveraging the generalization power of diffusion models, we extend…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Anh-Quan Cao , Ivan Lopes , Raoul de Charette

Large Language Model (LLM) agents can increasingly automate complex reasoning through Test-Time Scaling (TTS), iterative refinement guided by reward signals. However, many real-world tasks involve multi-stage pipeline whose final outcomes…

Machine Learning · Computer Science 2025-12-30 Shuyu Gan , James Mooney , Pan Hao , Renxiang Wang , Mingyi Hong , Qianwen Wang , Dongyeop Kang

Parallel test-time scaling (TTS) is a pivotal approach for enhancing large language models (LLMs), typically by sampling multiple token-based chains-of-thought in parallel and aggregating outcomes through voting or search. Recent advances…

Computation and Language · Computer Science 2026-04-21 Runyang You , Yongqi Li , Meng Liu , Wenjie Wang , Liqiang Nie , Wenjie Li

Diffusion models that are based on iterative denoising have been recently proposed and leveraged in various generation tasks like image generation. Whereas, as a way inherently built for continuous data, existing diffusion models still have…

Computation and Language · Computer Science 2023-04-11 Jiaao Chen , Aston Zhang , Mu Li , Alex Smola , Diyi Yang

Score matching is a popular method for estimating unnormalized statistical models. However, it has been so far limited to simple, shallow models or low-dimensional data, due to the difficulty of computing the Hessian of log-density…

Machine Learning · Computer Science 2019-06-28 Yang Song , Sahaj Garg , Jiaxin Shi , Stefano Ermon

We study the problem of estimating the score function using both implicit score matching and denoising score matching. Assuming that the data distribution exhibiting a low-dimensional structure, we prove that implicit score matching is able…

Statistics Theory · Mathematics 2026-01-01 Konstantin Yakovlev , Anna Markovich , Nikita Puchkin

Diffusion magnetic resonance imaging datasets suffer from low Signal-to-Noise Ratio, especially at high b-values. Acquiring data at high b-values contains relevant information and is now of great interest for microstructural and…

Computer Vision and Pattern Recognition · Computer Science 2016-06-27 Samuel St-Jean , Pierrick Coupé , Maxime Descoteaux

Noise contrastive estimation (NCE) is a popular method for training energy-based models (EBM) with intractable normalisation terms. The key idea of NCE is to learn by comparing unnormalised log-likelihoods of the reference and noisy…

Sound · Computer Science 2025-05-21 Wanli Sun , Anton Ragni