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Advances in computing power enable more widespread use of the mode, which is a natural measure of central tendency since, as the most probable value, it is not influenced by the tails in the distribution. The properties of the half-sample…

Statistics Theory · Mathematics 2007-06-13 David R. Bickel , Rudolf Fruehwirth

The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

State estimation is a key ingredient in most robotic systems. Often, state estimation is performed using some form of least squares minimization. Basically, all error minimization procedures that work on real-world data use robust kernels…

Robotics · Computer Science 2021-02-19 Nived Chebrolu , Thomas Läbe , Olga Vysotska , Jens Behley , Cyrill Stachniss

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

Machine Learning · Computer Science 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

Multimodal learning seeks to utilize data from multiple sources to improve the overall performance of downstream tasks. It is desirable for redundancies in the data to make multimodal systems robust to missing or corrupted observations in…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Md Kaykobad Reza , Ashley Prater-Bennette , M. Salman Asif

This paper presents a novel ensemble learning approach called Residual Likelihood Forests (RLF). Our weak learners produce conditional likelihoods that are sequentially optimized using global loss in the context of previous learners within…

Machine Learning · Statistics 2020-11-05 Yan Zuo , Tom Drummond

We extend the approximate residual balancing (ARB) framework to nonlinear models, answering an open problem posed by Athey et al. (2018). Our approach addresses the challenge of estimating average treatment effects in high-dimensional…

Econometrics · Economics 2025-11-04 Isaac Meza

Neural networks are increasingly used to estimate parameters in quantitative MRI, in particular in magnetic resonance fingerprinting. Their advantages over the gold standard non-linear least square fitting are their superior speed and their…

The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown…

Machine Learning · Computer Science 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Meta-reinforcement learning algorithms provide a data-driven way to acquire policies that quickly adapt to many tasks with varying rewards or dynamics functions. However, learned meta-policies are often effective only on the exact task…

Machine Learning · Computer Science 2023-07-13 Anurag Ajay , Abhishek Gupta , Dibya Ghosh , Sergey Levine , Pulkit Agrawal

Multimodal learning integrates diverse modalities but suffers from modality imbalance, where dominant modalities suppress weaker ones due to inconsistent convergence rates. Existing methods predominantly rely on static modulation or…

Machine Learning · Computer Science 2026-02-11 Zhaocheng Liu , Zhiwen Yu , Xiaoqing Liu

Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy tails. We propose a robust conformal method based on a…

Statistics Theory · Mathematics 2026-04-21 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

Loss function learning is a new meta-learning paradigm that aims to automate the essential task of designing a loss function for a machine learning model. Existing techniques for loss function learning have shown promising results, often…

Machine Learning · Computer Science 2025-10-14 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

Statistics Theory · Mathematics 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Conformal inference provides a rigorous statistical framework for uncertainty quantification in machine learning, enabling well-calibrated prediction sets with precise coverage guarantees for any classification model. However, its reliance…

Many common loss functions such as mean-squared-error, cross-entropy, and reconstruction loss are unnecessarily rigid. Under a probabilistic interpretation, these common losses correspond to distributions with fixed shapes and scales. We…

Machine Learning · Computer Science 2020-10-05 Mark Hamilton , Evan Shelhamer , William T. Freeman

Multi-sensor fusion is central to robust robotic perception, yet most existing systems operate under static sensor configurations, collecting all modalities at fixed rates and fidelity regardless of their situational utility. This rigidity…

Robotics · Computer Science 2026-02-12 Yanchen Liu , Yuang Fan , Minghui Zhao , Xiaofan Jiang

We introduce new estimators for robust machine learning based on median-of-means (MOM) estimators of the mean of real valued random variables. These estimators achieve optimal rates of convergence under minimal assumptions on the dataset.…

Statistics Theory · Mathematics 2017-12-04 Guillaume Lecué , Matthieu Lerasle

This paper introduces a novel framework for model adaptivity in the context of heterogeneous multiscale problems. The framework is based on the idea to interpret model adaptivity as a minimization problem of local error indicators, that are…

Numerical Analysis · Mathematics 2017-12-04 Matthias Maier , Rolf Rannacher