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Due to its conceptual simplicity and generality, compressive neural representation has emerged as a promising alternative to traditional compression methods for managing massive volumetric datasets. The current practice of neural…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Kaiyuan Tang , Chaoli Wang

The multivariate contaminated normal (MCN) distribution represents a simple heavy-tailed generalization of the multivariate normal (MN) distribution to model elliptical contoured scatters in the presence of mild outliers, referred to as…

Methodology · Statistics 2018-10-23 Antonio Punzo , Cristina Tortora

We propose a new structure for the variational auto-encoders (VAEs) prior, with the weakly informative multivariate Student's t-distribution. In the proposed model all distribution parameters are trained, thereby allowing for a more robust…

Machine Learning · Computer Science 2020-04-07 Najmeh Abiri , Mattias Ohlsson

CNNs achieve remarkable performance by leveraging deep, over-parametrized architectures, trained on large datasets. However, they have limited generalization ability to data outside the training domain, and a lack of robustness to noise and…

Convolutional neural networks (CNNs) have gained widespread usage across various fields such as weather forecasting, computer vision, autonomous driving, and medical image analysis due to its exceptional ability to extract spatial…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Alifu Xiafukaiti , Devanshu Garg , Aruto Hosaka , Koichi Yanagisawa , Yuichiro Minato , Tsuyoshi Yoshida

In this paper, we introduce a new three-parameter distribution based on the combination of re-parametrization of the so-called EGNB2 and transmuted exponential distributions. This combination aims to modify the transmuted exponential…

Statistics Theory · Mathematics 2020-02-11 Christophe Chesneau , Hassan S. Bakouch , Muhammad Nauman Khan

We derive a novel variational expectation maximization approach based on truncated posterior distributions. Truncated distributions are proportional to exact posteriors within subsets of a discrete state space and equal zero otherwise. The…

Machine Learning · Statistics 2019-07-12 Jörg Lücke

We propose estimating the scale parameter (mean of the eigenvalues) of the scatter matrix of an unspecified elliptically symmetric distribution using weights obtained by solving Tyler's M-estimator of the scatter matrix. The proposed…

Methodology · Statistics 2023-05-09 Esa Ollila , Daniel P. Palomar , Frederic Pascal

In recent years, image recognition method has been a research hotspot in various fields such as video surveillance, biometric identification, unmanned vehicles, human-computer interaction, and medical image recognition. Existing recognition…

Methodology · Statistics 2025-05-12 Yunzhi Jin , Yanqing Zhang , Niansheng Tang

This paper presents an approach for Evoked Expressions from Videos (EEV) challenge, which aims to predict evoked facial expressions from video. We take advantage of pre-trained models on large-scale datasets in computer vision and audio…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 VanThong Huynh , Guee-Sang Lee , Hyung-Jeong Yang , Soo-Huyng Kim

Tensor decomposition methods are popular tools for learning latent variables given only lower-order moments of the data. However, the standard assumption is that we have sufficient data to estimate these moments to high accuracy. In this…

Machine Learning · Statistics 2019-03-13 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

The variational autoencoder (VAE) typically employs a standard normal prior as a regularizer for the probabilistic latent encoder. However, the Gaussian tail often decays too quickly to effectively accommodate the encoded points, failing to…

Machine Learning · Statistics 2024-03-05 Juno Kim , Jaehyuk Kwon , Mincheol Cho , Hyunjong Lee , Joong-Ho Won

Performance of convolutional neural networks (CNNs) in image analysis tasks is often marred in the presence of acquisition-related distribution shifts between training and test images. Recently, it has been proposed to tackle this problem…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Neerav Karani , Georg Brunner , Ertunc Erdil , Simin Fei , Kerem Tezcan , Krishna Chaitanya , Ender Konukoglu

We develop an unsupervised mixture model for non-negative, skewed and heavy-tailed data, such as losses in actuarial and risk management applications. The mixture has a lognormal component, which is usually appropriate for the body of the…

Methodology · Statistics 2025-05-29 Marco Bee , Flavio Santi

Models based on multivariate t distributions are widely applied to analyze data with heavy tails. However, all the marginal distributions of the multivariate t distributions are restricted to have the same degrees of freedom, making these…

Methodology · Statistics 2016-04-08 Zhichao Jiang , Peng Ding

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

In the real world, data tends to follow long-tailed distributions w.r.t. class or attribution, motivating the challenging Long-Tailed Recognition (LTR) problem. In this paper, we revisit recent LTR methods with promising Vision Transformers…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Zhengzhuo Xu , Shuo Yang , Xingjun Wang , Chun Yuan

We propose a flexible formulation of the multivariate non-central skew t (NCST) distribution, defined by scaling skew-normal random vectors with independent chi-squared variables. This construction extends the classical multivariate t…

Methodology · Statistics 2025-07-15 Abeer M. Hasan , Ying-Ju Chen

Real-world signals typically span across multiple dimensions, that is, they naturally reside on multi-way data structures referred to as tensors. In contrast to standard ``flat-view'' multivariate matrix models which are agnostic to data…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Bruno Scalzo Dees , Anh-Huy Phan , Danilo P. Mandic

A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

Machine Learning · Statistics 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári