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We offer a survey of recent results on covariance estimation for heavy-tailed distributions. By unifying ideas scattered in the literature, we propose user-friendly methods that facilitate practical implementation. Specifically, we…

Methodology · Statistics 2019-03-12 Yuan Ke , Stanislav Minsker , Zhao Ren , Qiang Sun , Wen-Xin Zhou

We study the empirical version of halfspace depths with the objective of establishing a connection between the rates of convergence and the tail behaviour of the corresponding underlying distributions. The intricate interplay between the…

Statistics Theory · Mathematics 2025-06-03 Sibsankar Singha , Marie Kratz , Sreekar Vadlamani

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

Robotics · Computer Science 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

Image and multimodal machine learning tasks are very challenging to solve in the case of poorly distributed data. In particular, data availability and privacy restrictions exacerbate these hurdles in the medical domain. The state of the art…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Rafael Elberg , Denis Parra , Mircea Petrache

The distribution of data in the world (eg, internet, etc.) significantly differs from the well-curated datasets and is often over-populated with samples from common categories. The algorithms designed for well-curated datasets perform…

Machine Learning · Computer Science 2025-07-30 Harsh Rangwani

The full potential of large pretrained models remains largely untapped in control domains like robotics. This is mainly because of the scarcity of data and the computational challenges associated with training or fine-tuning these large…

Machine Learning · Computer Science 2024-03-11 Zuxin Liu , Jesse Zhang , Kavosh Asadi , Yao Liu , Ding Zhao , Shoham Sabach , Rasool Fakoor

We consider the problem of inference for non-stationary time series with heavy-tailed error distribution. Under a time-varying linear process framework we show that there exists a suitable local approximation by a stationary process with…

Statistics Theory · Mathematics 2024-07-09 Fumiya Akashi , Konstantinos Fokianos , Junichi Hirukawa

This paper introduces a flexible framework for the estimation of the conditional tail index of heavy tailed distributions. In this framework, the tail index is computed from an auxiliary linear regression model that facilitates estimation…

Econometrics · Economics 2024-09-23 João Nicolau , Paulo M. M. Rodrigues

Predicting the future trajectories of the traffic agents is a gordian technique in autonomous driving. However, trajectory prediction suffers from data imbalance in the prevalent datasets, and the tailed data is often more complicated and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Yuning Wang , Pu Zhang , Lei Bai , Jianru Xue

Many problems in science and engineering require making predictions based on few observations. To build a robust predictive model, these sparse data may need to be augmented with simulated data, especially when the design space is…

Real-world data is laden with outlying values. The challenge for machine learning is that the learner typically has no prior knowledge of whether the feedback it receives (losses, gradients, etc.) will be heavy-tailed or not. In this work,…

Machine Learning · Statistics 2020-12-16 Matthew J. Holland

Class-incremental learning is dedicated to the development of deep learning models that are capable of acquiring new knowledge while retaining previously learned information. Most methods focus on balanced data distribution for each task,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Linjie Li , Zhenyu Wu , Jiaming Liu , Yang Ji

This paper studies the long-tailed semi-supervised learning (LTSSL) with distribution mismatch, where the class distribution of the labeled training data follows a long-tailed distribution and mismatches with that of the unlabeled training…

Machine Learning · Computer Science 2025-08-12 Yaxin Hou , Yuheng Jia

Main challenges in long-tailed recognition come from the imbalanced data distribution and sample scarcity in its tail classes. While techniques have been proposed to achieve a more balanced training loss and to improve tail classes data…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Bo Liu , Haoxiang Li , Hao Kang , Nuno Vasconcelos , Gang Hua

Purpose. Given the high level of expertise required for navigation and interpretation of ultrasound images, computational simulations can facilitate the training of such skills in virtual reality. With ray-tracing based simulations,…

Image and Video Processing · Electrical Eng. & Systems 2021-01-22 Lin Zhang , Tiziano Portenier , Orcun Goksel

This paper is concerned with sample size determination methodology for prediction models. We propose combining the individual calculations via a learning-type curve. We suggest two distinct ways of doing so, a deterministic skeleton of a…

Methodology · Statistics 2024-05-24 Alimu Dayimu , Nikola Simidjievski , Nikolaos Demiris , Jean Abraham

Classification on long-tailed distributed data is a challenging problem, which suffers from serious class-imbalance and accordingly unpromising performance especially on tail classes. Recently, the ensembling based methods achieve the…

Machine Learning · Computer Science 2022-03-28 Bolian Li , Zongbo Han , Haining Li , Huazhu Fu , Changqing Zhang

In risk management, tail risks are of crucial importance. The quality of a tail model, which is determined by data from an unknown distribution, depends critically on the subset of data used to model the tail. Based on a suitably weighted…

Methodology · Statistics 2021-01-19 Ingo Hoffmann , Christoph J. Börner

Over the last few decades power law distributions have been suggested as forming generative mechanisms in a variety of disparate fields, such as, astrophysics, criminology and database curation. However, fitting these heavy tailed…

Computation · Statistics 2014-08-26 Colin S. Gillespie

Despite the fast progress of deep learning, one standing challenge is the gap of the observed training samples and the underlying true distribution. There are multiple reasons for the causing of this gap e.g. sampling bias, noise etc. In…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Yanbiao Ma , Wei Dai , Bowei Liu , Jiayi Chen , Wenke Huang , Guancheng Wan , Zhiwu Lu , Junchi Yan
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