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In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

统计方法学 · 统计学 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

Support points summarize a large dataset through a smaller set of representative points that can be used for data operations, such as Monte Carlo integration, without requiring access to the full dataset. In this sense, support points offer…

机器学习 · 统计学 2025-09-01 Peiqi Zhao , Carlos E. Rodríguez , Ramsés H. Mena , Stephen G. Walker

Real-world ecommerce recommender systems must deliver relevant items under strict tens-of-milliseconds latency constraints despite challenges such as cold-start products, rapidly shifting user intent, and dynamic context including…

信息检索 · 计算机科学 2025-12-16 Han Chen , Steven Zhu , Yingrui Li

We introduce a novel generative smoothness regularization on manifolds (SToRM) model for the recovery of dynamic image data from highly undersampled measurements. The proposed generative framework represents the image time series as a…

图像与视频处理 · 电气工程与系统科学 2021-02-01 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Stanley Kruger , Mathews Jacob

BART (Bayesian Additive Regression Trees) has become increasingly popular as a flexible and scalable nonparametric regression approach for modern applied statistics problems. For the practitioner dealing with large and complex nonlinear…

统计方法学 · 统计学 2018-07-11 Matthew Pratola , Hugh Chipman , Edward George , Robert McCulloch

Bayes additive regression trees(BART) is a nonparametric regression model which has gained wide-spread popularity in recent years due to its flexibility and high accuracy of estimation. Soft BART,one variation of BART,improves both…

机器学习 · 统计学 2023-10-24 Hao Ran , Yang Bai

Although it is an extremely effective, easy-to-use, and increasingly popular tool for nonparametric regression, the Bayesian Additive Regression Trees (BART) model is limited by the fact that it can only produce discontinuous output.…

统计方法学 · 统计学 2025-08-08 Ryan Yee , Soham Ghosh , Sameer K. Deshpande

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression algorithm. The posterior is a distribution over sums of decision trees, and predictions are made by averaging approximate samples from the posterior.…

机器学习 · 统计学 2022-10-19 Omer Ronen , Theo Saarinen , Yan Shuo Tan , James Duncan , Bin Yu

Tensor decompositions play a crucial role in numerous applications related to multi-way data analysis. By employing a Bayesian framework with sparsity-inducing priors, Bayesian Tensor Ring (BTR) factorization offers probabilistic estimates…

机器学习 · 计算机科学 2024-12-05 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

We consider convex, black-box objective functions with additive or multiplicative noise with a high-dimensional parameter space and a data space of lower dimension, where gradients of the map exist, but may be inaccessible. We investigate…

最优化与控制 · 数学 2021-01-20 Jordan R. Hall , Varis Carey

Hierarchical parametric models consisting of observable and latent variables are widely used for unsupervised learning tasks. For example, a mixture model is a representative hierarchical model for clustering. From the statistical point of…

机器学习 · 统计学 2014-01-24 Keisuke Yamazaki

Recent advances in generative artificial intelligence have enabled the creation of high-quality synthetic data that closely mimics real-world data. This paper explores the adaptation of the Stable Diffusion 2.0 model for generating…

机器学习 · 计算机科学 2024-05-07 Eugenio Lomurno , Matteo D'Oria , Matteo Matteucci

Table reasoning with large language models (LLMs) plays a critical role in building intelligent systems capable of understanding and analyzing tabular data. Despite recent progress, existing methods still face key limitations: their…

人工智能 · 计算机科学 2026-01-27 Huajian Zhang , Mingyue Cheng , Yucong Luo , Xiaoyu Tao

In this paper, fast and efficient discrete sine transformation (DST) algorithms are presented based on the factorization of sparse, scaled orthogonal, rotation, rotation-reflection, and butterfly matrices. These algorithms are completely…

信息论 · 计算机科学 2016-01-19 Sirani M. Perera

During the last decade, considerable effort has been made to perform automatic classification of variable stars using machine learning techniques. Traditionally, light curves are represented as a vector of descriptors or features used as…

天体物理仪器与方法 · 物理学 2020-02-12 Ignacio Becker , Karim Pichara , Márcio Catelan , Pavlos Protopapas , Carlos Aguirre , Fatemeh Nikzat

Space-time adaptive processing (STAP) is an effective tool for detecting a moving target in spaceborne or airborne radar systems. Statistical-based STAP methods generally need sufficient statistically independent and identically distributed…

信息论 · 计算机科学 2010-08-26 Ke Sun , Hao Zhang , Gang Li , Huadong Meng , Xiqin Wang

Distinguishing active galaxies from star-forming galaxies is essential for understanding galaxy evolution. Diagnostic methods like the BPT (Baldwin, Phillips, and Terlevich) diagram use optical emission-line ratios to separate galaxies.…

Statistical Inference is the process of determining a probability distribution over the space of parameters of a model given a data set. As more data becomes available this probability distribution becomes updated via the application of…

无序系统与神经网络 · 物理学 2022-04-28 David S. Berman , Jonathan J. Heckman , Marc Klinger

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Generative modeling for tabular data has recently gained significant attention in the Deep Learning domain. Its objective is to estimate the underlying distribution of the data. However, estimating the underlying distribution of tabular…

机器学习 · 计算机科学 2024-12-10 Aníbal Silva , André Restivo , Moisés Santos , Carlos Soares