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Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

统计方法学 · 统计学 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

The success of diffusion models has driven interest in performing conditional sampling via training-free guidance of the denoising process to solve image restoration and other inverse problems. A popular class of methods, based on Diffusion…

机器学习 · 统计学 2025-06-17 Gregory Bellchambers

Noise plagues many numerical datasets, where the recorded values in the data may fail to match the true underlying values due to reasons including: erroneous sensors, data entry/processing mistakes, or imperfect human estimates. We consider…

机器学习 · 统计学 2024-03-14 Hang Zhou , Jonas Mueller , Mayank Kumar , Jane-Ling Wang , Jing Lei

The development of high-dimensional white noise test is important in both statistical theories and applications, where the dimension of the time series can be comparable to or exceed the length of the time series. This paper proposes…

统计理论 · 数学 2023-07-20 Dachuan Chen , Fengyi Song , Long Feng

Score-based tests have been used to study parameter heterogeneity across many types of statistical models. This chapter describes a new self-normalization approach for score-based tests of mixed models, which addresses situations where…

统计方法学 · 统计学 2023-06-13 Ting Wang , Edgar Merkle

This paper explores the use of score-based diffusion models for Bayesian image reconstruction. Diffusion models are an efficient tool for generative modeling. Diffusion models can also be used for solving image reconstruction problems. We…

图像与视频处理 · 电气工程与系统科学 2025-10-06 Michael T. McCann , Hyungjin Chung , Jong Chul Ye , Marc L. Klasky

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

最优化与控制 · 数学 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

The goal of the paper is to develop a specific application of the convex optimization based hypothesis testing techniques developed in A. Juditsky, A. Nemirovski, "Hypothesis testing via affine detectors," Electronic Journal of Statistics…

统计理论 · 数学 2018-01-09 Yang Cao , Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski , Yao Xie

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

机器学习 · 计算机科学 2023-09-21 Song Mei , Yuchen Wu

We introduce a score-based generative sampling method for solving the nonlinear filtering problem with robust accuracy. A major drawback of existing nonlinear filtering methods, e.g., particle filters, is the low stability. To overcome this…

最优化与控制 · 数学 2023-06-16 Feng Bao , Zezhong Zhang , Guannan Zhang

In astronomy, there is an opportunity to enhance the practice of validating models through statistical techniques, specifically to account for measurement error uncertainties. While models are commonly used to describe observations, there…

天体物理仪器与方法 · 物理学 2023-08-09 Fiorenzo Stoppa , Eric Cator , Gijs Nelemans

Existing distantly supervised relation extractors usually rely on noisy data for both model training and evaluation, which may lead to garbage-in-garbage-out systems. To alleviate the problem, we study whether a small clean dataset could…

计算与语言 · 计算机科学 2022-09-15 Yufang Liu , Ziyin Huang , Yijun Wang , Changzhi Sun , Man Lan , Yuanbin Wu , Xiaofeng Mou , Ding Wang

Given samples (x_1,...,x_m) and (z_1,...,z_n) which we believe are independent realizations of random variables X and Z respectively, where we further believe that Z=X+Y with Y independent of X, the problem is to estimate the distribution…

统计计算 · 统计学 2007-08-22 Colin Mallows

Often the question arises whether $Y$ can be predicted based on $X$ using a certain model. Especially for highly flexible models such as neural networks one may ask whether a seemingly good prediction is actually better than fitting pure…

统计方法学 · 统计学 2024-04-30 Michał Ciszewski , Jakob Söhl , Ton Leenen , Bart van Trigt , Geurt Jongbloed

Motivated by applications in high-dimensional data analysis where strong signals often stand out easily and weak ones may be indistinguishable from the noise, we develop a statistical framework to provide a novel categorization of the data…

统计方法学 · 统计学 2013-05-02 X. Jessie Jeng

Convolutional neural networks (CNNs) define the current state-of-the-art for image recognition. With their emerging popularity, especially for critical applications like medical image analysis or self-driving cars, confirmability is…

计算机视觉与模式识别 · 计算机科学 2018-01-08 Keyang Zhou , Bernhard Kainz

Deep sequence models are receiving significant interest in current machine learning research. By representing probability distributions that are fit to data using maximum likelihood estimation, such models can model data on general…

系统与控制 · 电气工程与系统科学 2024-09-09 Kristian Løvland , Bjarne Grimstad , Lars Struen Imsland

In health related machine learning applications, the training data often corresponds to a non-representative sample from the target populations where the learners will be deployed. In anticausal prediction tasks, selection biases often make…

机器学习 · 统计学 2020-11-10 Elias Chaibub Neto , Phil Snyder , Solveig K Sieberts , Larsson Omberg

Morden deep ensembles technique achieves strong uncertainty estimation performance by going through multiple forward passes with different models. This is at the price of a high storage space and a slow speed in the inference (test) time.…

机器学习 · 计算机科学 2024-03-13 Ha Manh Bui , Anqi Liu

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

机器学习 · 计算机科学 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier