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This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

The learning from imbalanced data is a deeply studied problem in standard classification and, in recent times, also in multilabel classification. A handful of multilabel resampling methods have been proposed in late years, aiming to balance…

机器学习 · 计算机科学 2018-02-15 Francisco Charte , Antonio J. Rivera , María J. del Jesus , Francisco Herrera

Waveform templates are a powerful tool for extracting and characterizing gravitational wave signals, acting as highly restrictive priors on the signal morphologies that allow us to extract weak events buried deep in the instrumental noise.…

广义相对论与量子宇宙学 · 物理学 2014-03-26 Laura Sampson , Neil Cornish , Nicolas Yunes

Label Shift has been widely believed to be harmful to the generalization performance of machine learning models. Researchers have proposed many approaches to mitigate the impact of the label shift, e.g., balancing the training data.…

机器学习 · 计算机科学 2022-12-09 Jiahui Cheng , Minshuo Chen , Hao Liu , Tuo Zhao , Wenjing Liao

Label distribution learning can characterize the polysemy of an instance through label distributions. However, some noise and uncertainty may be introduced into the label space when processing label distribution data due to artificial or…

机器学习 · 计算机科学 2022-10-18 Qimeng Guo , Zhuoran Zheng , Xiuyi Jia , Liancheng Xu

Binary relevance is a simple approach to solve multi-label learning problems where an independent binary classifier is built per each label. A common challenge with this in real-world applications is that the label space can be very large,…

信息检索 · 计算机科学 2019-05-29 Dora Jambor , Peng Yu

An evolving problem in the field of spatial and ecological statistics is that of preferential sampling, where biases may be present due to a relationship between sample data locations and a response of interest. This field of research bears…

统计方法学 · 统计学 2022-03-11 Daniel Vedensky , Paul A. Parker , Scott H. Holan

A major challenge in sample-based inference (SBI) for Bayesian neural networks is the size and structure of the networks' parameter space. Our work shows that successful SBI is possible by embracing the characteristic relationship between…

机器学习 · 计算机科学 2024-05-29 Emanuel Sommer , Lisa Wimmer , Theodore Papamarkou , Ludwig Bothmann , Bernd Bischl , David Rügamer

This paper considers binary and multilabel classification problems in a setting where labels are missing independently and with a known rate. Missing labels are a ubiquitous phenomenon in extreme multi-label classification (XMC) tasks, such…

机器学习 · 计算机科学 2021-09-24 Erik Schultheis , Rohit Babbar

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

数值分析 · 数学 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

Heteroscedastic regression is the task of supervised learning where each label is subject to noise from a different distribution. This noise can be caused by the labelling process, and impacts negatively the performance of the learning…

机器学习 · 计算机科学 2021-07-12 Vincent Mai , Waleed Khamies , Liam Paull

We consider a framework for determining and estimating the conditional pairwise relationships of variables when the observed samples are contaminated with measurement error in high dimensional settings. Assuming the true underlying…

统计方法学 · 统计学 2019-07-05 Michael Byrd , Linh Nghiem , Monnie McGee

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

统计计算 · 统计学 2015-01-15 Brendon J. Brewer

The present operation of the ground-based network of gravitational-wave laser interferometers in "enhanced" configuration brings the search for gravitational waves into a regime where detection is highly plausible. The development of…

宇宙学与河外天体物理 · 物理学 2015-03-13 John Veitch , Alberto Vecchio

In this work, we develop a Bayesian framework for solving inverse problems in which the unknown parameter belongs to a space of Radon measures taking values in a separable Hilbert space. The inherent ill-posedness of such problems is…

统计理论 · 数学 2025-05-02 Phuoc-Truong Huynh

We consider multi-label prediction problems with large output spaces under the assumption of output sparsity -- that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting…

机器学习 · 计算机科学 2009-06-02 Daniel Hsu , Sham M. Kakade , John Langford , Tong Zhang

In many real-world pattern recognition scenarios, such as in medical applications, the corresponding classification tasks can be of an imbalanced nature. In the current study, we focus on binary, imbalanced classification tasks, i.e.~binary…

机器学习 · 计算机科学 2020-12-01 Peter Bellmann , Heinke Hihn , Daniel A. Braun , Friedhelm Schwenker

Label quality issues, such as noisy labels and imbalanced class distributions, have negative effects on model performance. Automatic reweighting methods identify problematic samples with label quality issues by recognizing their negative…

人机交互 · 计算机科学 2023-12-11 Weikai Yang , Yukai Guo , Jing Wu , Zheng Wang , Lan-Zhe Guo , Yu-Feng Li , Shixia Liu

The bispectrum provides a characteristic signature of gravitational instability that can be used to probe the Gaussianity of the initial conditions and the bias of the galaxy distribution. We study how this signature is affected by redshift…

天体物理学 · 物理学 2009-10-30 Roman Scoccimarro , H. M. P. Couchman , Joshua A. Frieman

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

数值分析 · 数学 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag