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We provide finite-sample distribution approximations, that are uniform in the parameter, for inference in linear mixed models. Focus is on variances and covariances of random effects in cases where existing theory fails because their…

Statistics Theory · Mathematics 2025-07-29 Karl Oskar Ekvall , Matteo Bottai

Estimating the unknown density from which a given independent sample originates is more difficult than estimating the mean, in the sense that for the best popular non-parametric density estimators, the mean integrated square error converges…

Statistics Theory · Mathematics 2021-09-08 Pierre L'Ecuyer , Florian Puchhammer , Amal Ben Abdellah

Current state-of-the-art deep learning systems for visual object recognition and detection use purely supervised training with regularization such as dropout to avoid overfitting. The performance depends critically on the amount of labeled…

Computer Vision and Pattern Recognition · Computer Science 2015-04-16 Scott Reed , Honglak Lee , Dragomir Anguelov , Christian Szegedy , Dumitru Erhan , Andrew Rabinovich

It is well known that, under very weak assumptions, multiobjective optimization problems admit $(1+\varepsilon,\dots,1+\varepsilon)$-approximation sets (also called $\varepsilon$-Pareto sets) of polynomial cardinality (in the size of the…

Optimization and Control · Mathematics 2023-05-25 Cristina Bazgan , Arne Herzel , Stefan Ruzika , Clemens Thielen , Daniel Vanderpooten

The original ImageNet benchmark enforces a single-label assumption, despite many images depicting multiple objects. This leads to label noise and limits the richness of the learning signal. Multi-label annotations more accurately reflect…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Junyu Chen , Md Yousuf Harun , Christopher Kanan

Tracking multiple objects through time is an important part of an intelligent transportation system. Random finite set (RFS)-based filters are one of the emerging techniques for tracking multiple objects. In multi-object tracking (MOT), a…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Nida Ishtiaq , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Reza Hoseinnezhad

Adaptive track initiation remains a crucial component of many modern multi-target tracking systems. For labeled random finite sets multi-object filters, prior work has been established to construct a labeled multi-object birth density using…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Jennifer Bondarchuk , Anthony Trezza , Donald J. Bucci

A Bernoulli Mixture Model (BMM) is a finite mixture of random binary vectors with independent dimensions. The problem of clustering BMM data arises in a variety of real-world applications, ranging from population genetics to activity…

Machine Learning · Computer Science 2019-06-18 Amir Najafi , Abolfazl Motahari , Hamid R. Rabiee

There is a rich literature on Bayesian methods for density estimation, which characterize the unknown density as a mixture of kernels. Such methods have advantages in terms of providing uncertainty quantification in estimation, while being…

Methodology · Statistics 2024-04-10 Shounak Chattopadhyay , Antik Chakraborty , David B. Dunson

This paper investigates the asymptotic behavior of the Multi-set Allocation Occupancy (MAO) distribution, which models the count vector $X=(X_{=0},\ldots,X_{=T})$ from $T$ independent rounds of sampling without replacement of size $m$ from…

Probability · Mathematics 2026-02-24 Xing-gang Mao

We consider the approximation of Poisson type problems where the source is given by a singular measure and the domain is a convex polygonal or polyhedral domain. First, we prove the well-posedness of the Poisson problem when the source…

Numerical Analysis · Mathematics 2018-09-12 Irene Drelichman , Ricardo Durán , Ignacio Ojea

Collecting high quality data for object detection tasks is challenging due to the inherent subjectivity in labeling the boundaries of an object. This makes it difficult to not only collect consistent annotations across a dataset but also to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Darryl Hannan , Timothy Doster , Henry Kvinge , Adam Attarian , Yijing Watkins

Label noise poses a significant challenge in Earth Observation (EO), often degrading the performance and reliability of supervised Machine Learning (ML) models. Yet, given the critical nature of several EO applications, developing robust…

This paper introduces key machine learning operations that allow the realization of robust, joint 6D pose estimation of multiple instances of objects either densely packed or in unstructured piles from RGB-D data. The first objective is to…

Robotics · Computer Science 2019-10-14 Chaitanya Mitash , Bowen Wen , Kostas Bekris , Abdeslam Boularias

We investigate probabilistic decoupling of labels supplied for training, from the underlying classes for prediction. Decoupling enables an inference scheme general enough to implement many classification problems, including supervised,…

Machine Learning · Computer Science 2019-05-30 Jeppe Nørregaard , Lars Kai Hansen

Bayesian methods are appealing in their flexibility in modeling complex data and ability in capturing uncertainty in parameters. However, when Bayes' rule does not result in tractable closed-form, most approximate inference algorithms lack…

Machine Learning · Computer Science 2016-05-09 Bo Dai , Niao He , Hanjun Dai , Le Song

In partial multi-label learning (PML), each instance is associated with a set of candidate labels containing both ground-truth and noisy labels. The presence of noisy labels disrupts the correspondence between features and labels, degrading…

Machine Learning · Computer Science 2026-04-13 Yu Chen , Weijun Lv , Yue Huang , Xiaozhao Fang , Jie Wen , Yong Xu , Guanbin Li

This paper proposes a novel semi-supervised method on object recognition. First, based on Boost Picking, a universal algorithm, Boost Picking Teaching (BPT), is proposed to train an effective binary-classifier just using a few labeled data…

Computer Vision and Pattern Recognition · Computer Science 2019-08-17 Fuqiang Liu , Fukun Bi , Liang Chen

In this paper, we consider Bayesian point estimation and predictive density estimation in the binomial case. After presenting preliminary results on these problems, we compare the risk functions of the Bayes estimators based on the…

Statistics Theory · Mathematics 2021-09-13 Yasuyuki Hamura

We report the application of implicit likelihood inference to the prediction of the macro-parameters of strong lensing systems with neural networks. This allows us to perform deep learning analysis of lensing systems within a well-defined…

Instrumentation and Methods for Astrophysics · Physics 2023-01-25 Ronan Legin , Yashar Hezaveh , Laurence Perreault-Levasseur , Benjamin Wandelt