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Mixing (or prior) density estimation is an important problem in machine learning and statistics, especially in empirical Bayes $g$-modeling where accurately estimating the prior is necessary for making good posterior inferences. In this…

Machine Learning · Statistics 2024-06-11 Shijie Wang , Saptarshi Chakraborty , Qian Qin , Ray Bai

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

The ratio between two probability density functions is an important component of various tasks, including selection bias correction, novelty detection and classification. Recently, several estimators of this ratio have been proposed. Most…

Methodology · Statistics 2014-04-30 Rafael Izbicki , Ann B. Lee , Chad M. Schafer

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stochastic optimization problems. Recursive constrained…

Statistics Theory · Mathematics 2024-09-05 Vladimir Norkin , Vladimir Kirilyuk

Deep convolutional neural networks, assisted by architectural design strategies, make extensive use of data augmentation techniques and layers with a high number of feature maps to embed object transformations. That is highly inefficient…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Vittorio Mazzia , Francesco Salvetti , Marcello Chiaberge

This paper focuses on the problem of unbounded density ratio estimation -- an understudied yet critical challenge in statistical learning -- and its application to covariate shift adaptation. Much of the existing literature assumes that the…

Machine Learning · Statistics 2026-04-01 Ren-Rui Liu , Jun Fan , Lei Shi , Zheng-Chu Guo

Deep neural networks (DNN) has received increasing attention in machine learning applications in the last several years. Recently, a non-asymptotic error bound has been developed to measure the performance of the fully connected DNN…

Machine Learning · Statistics 2024-05-15 Kejin Wu , Dimitris N. Politis

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

Methodology · Statistics 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

The ability to remove unwanted dependencies from data is crucial in various domains, including fairness, robust learning, and privacy protection. In this work, we propose an encoder-based approach that learns a representation independent of…

Machine Learning · Computer Science 2026-03-05 Kathleen Anderson , Thomas Martinetz

This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

Recent results in nonparametric regression show that for deep learning, i.e., for neural network estimates with many hidden layers, we are able to achieve good rates of convergence even in case of high-dimensional predictor variables,…

Statistics Theory · Mathematics 2019-12-12 Alina Braun , Michael Kohler , Adam Krzyzak

Pre-trained language models have achieved noticeable performance on the intent detection task. However, due to assigning an identical weight to each sample, they suffer from the overfitting of simple samples and the failure to learn complex…

Computation and Language · Computer Science 2021-08-25 Yantao Gong , Cao Liu , Jiazhen Yuan , Fan Yang , Xunliang Cai , Guanglu Wan , Jiansong Chen , Ruiyao Niu , Houfeng Wang

Neural networks have achieved remarkable performance in computer vision, however they are vulnerable to adversarial examples. Adversarial examples are inputs that have been carefully perturbed to fool classifier networks, while appearing…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Rachel Sterneck , Abhishek Moitra , Priyadarshini Panda

We consider the problems of classification and intrinsic dimension estimation on image data. A new subspace based classifier is proposed for supervised classification or intrinsic dimension estimation. The distribution of the data in each…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Liang Liao , Stephen John Maybank

For Deep Neural Networks (DNNs) to become useful in safety-critical applications, such as self-driving cars and disease diagnosis, they must be stable to perturbations in input and model parameters. Characterizing the sensitivity of a DNN…

Machine Learning · Computer Science 2023-07-25 Naman Maheshwari , Nicholas Malaya , Scott Moe , Jaydeep P. Kulkarni , Sudhanva Gurumurthi

Dimensionality reduction is a fundamental task in modern data science. Several projection methods specifically tailored to take into account the non-linearity of the data via local embeddings have been proposed. Such methods are often based…

Machine Learning · Statistics 2026-01-28 Antonio Di Noia , Federico Ravenda , Antonietta Mira

Temporal prediction is inherently uncertain, but representing the ambiguity in natural image sequences is a challenging high-dimensional probabilistic inference problem. For natural scenes, the curse of dimensionality renders explicit…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Pierre-Étienne H. Fiquet , Eero P. Simoncelli

Any continuous conditional distribution of $Y$ given $X$ can be generated from a transform of a known noise distribution $U$ such as the uniform or normal distribution via $Y = g(X, U)$. This paper provides an estimator of such a generative…

Methodology · Statistics 2026-05-05 Jinhang Chai , Jianqing Fan , Yihong Gu

This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample…

Econometrics · Economics 2021-01-29 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

This paper extends previous identification method to the asynchronous sampling scenario, enabling the simultaneous handling of asynchronous, non-uniform, and slow-rate sampling conditions. Moving beyond lumped systems, the proposed…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Yunxiang Ma , Tong Zhou