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Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Score-based generative models provide state-of-the-art quality for image and audio synthesis. Sampling from these models is performed iteratively, typically employing a discretized series of noise levels and a predefined scheme. In this…

机器学习 · 计算机科学 2021-04-09 Joan Serrà , Santiago Pascual , Jordi Pons

In this article we recover the distribution function (and possible density) of an arbitrary random variable that is subject to an additive measurement error. This problem is also known as deconvolution and has a long tradition in…

统计理论 · 数学 2025-10-07 Henrik Kaiser

Score-based diffusion models are a highly effective method for generating samples from a distribution of images. We consider scenarios where the training data comes from a noisy version of the target distribution, and present an efficiently…

机器学习 · 统计学 2025-09-30 Dennis Elbrächter , Giovanni S. Alberti , Matteo Santacesaria

This paper addresses the deconvolution problem of estimating a square-integrable probability density from observations contaminated with additive measurement errors having a known density. The estimator begins with a density estimate of the…

统计理论 · 数学 2023-04-12 David Kent , David Ruppert

Deep clustering methods improve the performance of clustering tasks by jointly optimizing deep representation learning and clustering. While numerous deep clustering algorithms have been proposed, most of them rely on artificially…

机器学习 · 计算机科学 2024-01-30 Zhanwen Cheng , Feijiang Li , Jieting Wang , Yuhua Qian

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

机器学习 · 计算机科学 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu

Density estimation plays a crucial role in many data analysis tasks, as it infers a continuous probability density function (PDF) from discrete samples. Thus, it is used in tasks as diverse as analyzing population data, spatial locations in…

机器学习 · 计算机科学 2021-07-26 Patrik Puchert , Pedro Hermosilla , Tobias Ritschel , Timo Ropinski

We propose a new test statistic based on a score process for determining the statistical significance of a putative signal that may be a small perturbation to a noisy experimental background. We derive the reference distribution for this…

数据分析、统计与概率 · 物理学 2007-05-23 Ramani S. Pilla , Catherine Loader , Cyrus Taylor

Large-scale supervised classification algorithms, especially those based on deep convolutional neural networks (DCNNs), require vast amounts of training data to achieve state-of-the-art performance. Decreasing this data requirement would…

计算机视觉与模式识别 · 计算机科学 2016-06-15 Maya Kabkab , Azadeh Alavi , Rama Chellappa

Deep learning models frequently make incorrect predictions with high confidence when presented with test examples that are not well represented in their training dataset. We propose a novel and straightforward approach to estimate…

机器学习 · 计算机科学 2019-10-04 Tiago Ramalho , Miguel Miranda

We examine an important setting for engineered systems in which low-power distributed sensors are each making highly noisy measurements of some unknown target function. A center wants to accurately learn this function by querying a small…

机器学习 · 计算机科学 2014-06-26 Maria-Florina Balcan , Chris Berlind , Avrim Blum , Emma Cohen , Kaushik Patnaik , Le Song

We propose a methodology for testing linear hypothesis in high-dimensional linear models. The proposed test does not impose any restriction on the size of the model, i.e. model sparsity or the loading vector representing the hypothesis.…

统计方法学 · 统计学 2019-07-09 Yinchu Zhu , Jelena Bradic

We explain how effective automatic probability density function estimates can be constructed using contemporary Bayesian inference engines such as those based on no-U-turn sampling and expectation propagation. Extensive simulation studies…

机器学习 · 统计学 2021-09-28 M. P. Wand , J. C. F. Yu

Deep neural networks have been widely used in image denoising during the past few years. Even though they achieve great success on this problem, they are computationally inefficient which makes them inappropriate to be implemented in mobile…

图像与视频处理 · 电气工程与系统科学 2021-08-05 Lu Xu , Jiawei Zhang , Xuanye Cheng , Feng Zhang , Xing Wei , Jimmy Ren

This paper considers the problem of testing whether there exists a non-negative solution to a possibly under-determined system of linear equations with known coefficients. This hypothesis testing problem arises naturally in a number of…

计量经济学 · 经济学 2021-09-16 Zheng Fang , Andres Santos , Azeem M. Shaikh , Alexander Torgovitsky

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

机器学习 · 统计学 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

Deep metric learning algorithms have been utilized to learn discriminative and generalizable models which are effective for classifying unseen classes. In this paper, a novel noise tolerant deep metric learning algorithm is proposed. The…

机器学习 · 计算机科学 2019-04-09 Soumyadeep Ghosh , Richa Singh , Mayank Vatsa

Language models have recently been shown capable of performing regression wherein numeric predictions are represented as decoded strings. In this work, we provide theoretical grounds for this capability and furthermore investigate the…

机器学习 · 计算机科学 2025-08-13 Xingyou Song , Dara Bahri

We propose a novel approach to video anomaly detection: we treat feature vectors extracted from videos as realizations of a random variable with a fixed distribution and model this distribution with a neural network. This lets us estimate…

计算机视觉与模式识别 · 计算机科学 2024-03-22 Jakub Micorek , Horst Possegger , Dominik Narnhofer , Horst Bischof , Mateusz Kozinski