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We propose a novel explanation method that explains the decisions of a deep neural network by investigating how the intermediate representations at each layer of the deep network were refined during the training process. This way we can a)…

Machine Learning · Computer Science 2021-09-14 Lukas Pfahler , Katharina Morik

We present a sparse representation of model uncertainty for Deep Neural Networks (DNNs) where the parameter posterior is approximated with an inverse formulation of the Multivariate Normal Distribution (MND), also known as the information…

Machine Learning · Computer Science 2020-06-23 Jongseok Lee , Matthias Humt , Jianxiang Feng , Rudolph Triebel

We introduce Constr-DRKM, a deep kernel method for the unsupervised learning of disentangled data representations. We propose augmenting the original deep restricted kernel machine formulation for kernel PCA by orthogonality constraints on…

Machine Learning · Computer Science 2020-12-01 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Most density-based clustering methods largely rely on how well the underlying density is estimated. However, density estimation itself is also a challenging problem, especially the determination of the kernel bandwidth. A large bandwidth…

Machine Learning · Statistics 2015-12-08 Teng Qiu , Yongjie Li

Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

The real-life data have a complex and non-linear structure due to their nature. These non-linearities and the large number of features can usually cause problems such as the empty-space phenomenon and the well-known curse of dimensionality.…

Machine Learning · Computer Science 2025-03-13 Kadir Özçoban , Murat Manguoğlu , Emrullah Fatih Yetkin

Recently deep neural networks have been successfully used for various classification tasks, especially for problems with massive perfectly labeled training data. However, it is often costly to have large-scale credible labels in real-world…

Machine Learning · Computer Science 2019-01-15 Mingxiao An , Yongzhou Chen , Qi Liu , Chuanren Liu , Guangyi Lv , Fangzhao Wu , Jianhui Ma

Multivariate density estimation is of great interest in various scientific and engineering disciplines. In this work, we introduce a new framework called Variance-Reduced Sketching (VRS), specifically designed to estimate multivariate…

Machine Learning · Statistics 2025-05-05 Yifan Peng , Yuehaw Khoo , Daren Wang

Network analysis has played a key role in knowledge discovery and data mining. In many real-world applications in recent years, we are interested in mining multilayer networks, where we have a number of edge sets called layers, which encode…

Social and Information Networks · Computer Science 2022-11-08 Yasushi Kawase , Atsushi Miyauchi , Hanna Sumita

Monocular depth estimation (MDE) methods are often either too computationally expensive or not accurate enough due to the trade-off between model complexity and inference performance. In this paper, we propose a lightweight network that can…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Junjie Hu , Chenyou Fan , Hualie Jiang , Xiyue Guo , Yuan Gao , Xiangyong Lu , Tin Lun Lam

The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy,…

Numerical Analysis · Mathematics 2023-08-23 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

Methodology · Statistics 2026-05-15 Torey Hilbert

In this paper, a neural network-augmented algorithm for noise-robust online dereverberation with a Kalman filtering variant of the weighted prediction error (WPE) method is proposed. The filter stochastic variations are predicted by a deep…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-24 Jean-Marie Lemercier , Joachim Thiemann , Raphael Koning , Timo Gerkmann

This paper addresses the problem of nearly optimal Vapnik--Chervonenkis dimension (VC-dimension) and pseudo-dimension estimations of the derivative functions of deep neural networks (DNNs). Two important applications of these estimations…

Machine Learning · Computer Science 2023-05-16 Yahong Yang , Haizhao Yang , Yang Xiang

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

This paper presents a method to interpret the success of knowledge distillation by quantifying and analyzing task-relevant and task-irrelevant visual concepts that are encoded in intermediate layers of a deep neural network (DNN). More…

Machine Learning · Computer Science 2020-03-26 Xu Cheng , Zhefan Rao , Yilan Chen , Quanshi Zhang

The ever-increasing use of generative models in various fields where tabular data is used highlights the need for robust and standardized validation metrics to assess the similarity between real and synthetic data. Current methods lack a…

Machine Learning · Computer Science 2024-08-01 Patricia A. Apellániz , Ana Jiménez , Borja Arroyo Galende , Juan Parras , Santiago Zazo

Large dimensional least-squares and regularised least-squares problems are expensive to solve. There exist many approximate techniques, some deterministic (like conjugate gradient), some stochastic (like stochastic gradient descent). Among…

Signal Processing · Electrical Eng. & Systems 2021-10-18 Yusuf Pilavcı , Pierre-Olivier Amblard , Simon Barthelmé , Nicolas Tremblay

Regularization plays a vital role in the context of deep learning by preventing deep neural networks from the danger of overfitting. This paper proposes a novel deep learning regularization method named as DL-Reg, which carefully reduces…

Machine Learning · Computer Science 2020-11-05 Maryam Dialameh , Ali Hamzeh , Hossein Rahmani