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We present a novel class of Physics-Informed Neural Networks that is formulated based on the principles of Evidential Deep Learning, where the model incorporates uncertainty quantification by learning parameters of a higher-order…

机器学习 · 计算机科学 2025-01-28 Hai Siong Tan , Kuancheng Wang , Rafe McBeth

Representation multi-task learning (MTL) has achieved tremendous success in practice. However, the theoretical understanding of these methods is still lacking. Most existing theoretical works focus on cases where all tasks share the same…

机器学习 · 统计学 2025-07-08 Ye Tian , Yuqi Gu , Yang Feng

The Kullback-Leibler divergence or relative entropy is an information-theoretic measure between statistical models that play an important role in measuring a distance between random variables. In the study of complex systems, random fields…

信息论 · 计算机科学 2022-03-25 Alexandre L. M. Levada

Knowledge of the domain of applicability of a machine learning model is essential to ensuring accurate and reliable model predictions. In this work, we develop a new and general approach of assessing model domain and demonstrate that our…

材料科学 · 物理学 2025-03-25 Lane E. Schultz , Yiqi Wang , Ryan Jacobs , Dane Morgan

In networks of independent entities that face similar predictive tasks, transfer machine learning enables to re-use and improve neural nets using distributed data sets without the exposure of raw data. As the number of data sets in business…

机器学习 · 计算机科学 2020-03-31 Robin Hirt , Akash Srivastava , Carlos Berg , Niklas Kühl

Deep neural networks have become increasingly successful at solving classic perception problems such as object recognition, semantic segmentation, and scene understanding, often reaching or surpassing human-level accuracy. This success is…

计算机视觉与模式识别 · 计算机科学 2016-08-09 Joshua C. Peterson , Joshua T. Abbott , Thomas L. Griffiths

We show that the class of strongly connected graphical models with treewidth at most k can be properly efficiently PAC-learnt with respect to the Kullback-Leibler Divergence. Previous approaches to this problem, such as those of Chow ([1]),…

机器学习 · 计算机科学 2012-07-19 Mukund Narasimhan , Jeff A. Bilmes

The dominating NLP paradigm of training a strong neural predictor to perform one task on a specific dataset has led to state-of-the-art performance in a variety of applications (eg. sentiment classification, span-prediction based question…

计算与语言 · 计算机科学 2021-09-06 Paul Michel

In transfer learning, only the last part of the networks - the so-called head - is often fine-tuned. Representation similarity analysis shows that the most significant change still occurs in the head even if all weights are updatable.…

机器学习 · 计算机科学 2022-07-20 Thomas Goerttler , Klaus Obermayer

The families of $f$-divergences (e.g. the Kullback-Leibler divergence) and Integral Probability Metrics (e.g. total variation distance or maximum mean discrepancies) are widely used to quantify the similarity between probability…

统计理论 · 数学 2021-06-08 Rohit Agrawal , Thibaut Horel

Deep neural networks trained on a wide range of datasets demonstrate impressive transferability. Deep features appear general in that they are applicable to many datasets and tasks. Such property is in prevalent use in real-world…

机器学习 · 计算机科学 2019-09-27 Hong Liu , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

机器学习 · 统计学 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

Current approaches in approximate inference for Bayesian neural networks minimise the Kullback-Leibler divergence to approximate the true posterior over the weights. However, this approximation is without knowledge of the final application,…

机器学习 · 统计学 2018-05-11 Adam D. Cobb , Stephen J. Roberts , Yarin Gal

In many domains where data are represented as graphs, learning a similarity metric among graphs is considered a key problem, which can further facilitate various learning tasks, such as classification, clustering, and similarity search.…

机器学习 · 计算机科学 2020-10-06 Guixiang Ma , Nesreen K. Ahmed , Theodore L. Willke , Philip S. Yu

In this work, we investigate the use of three information-theoretic quantities -- entropy, mutual information with the class variable, and a class selectivity measure based on Kullback-Leibler divergence -- to understand and study the…

机器学习 · 计算机科学 2022-12-02 Rana Ali Amjad , Kairen Liu , Bernhard C. Geiger

Diffusion-based classifiers such as those relying on the Personalized PageRank and the Heat kernel, enjoy remarkable classification accuracy at modest computational requirements. Their performance however is affected by the extent to which…

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

机器学习 · 计算机科学 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

Bayesian learning has been recently considered as an effective means of accounting for uncertainty in trained deep network parameters. This is of crucial importance when dealing with small or sparse training datasets. On the other hand,…

机器学习 · 计算机科学 2018-02-13 Harris Partaourides , Sotirios Chatzis

One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of parameters trying to minimize a loss function. These changes are…

机器学习 · 计算机科学 2024-03-14 Rocio Gonzalez-Diaz , Miguel A. Gutiérrez-Naranjo , Eduardo Paluzo-Hidalgo

Measuring the similarity of the internal representations of deep neural networks is an important and challenging problem. Model stitching has been proposed as a possible approach, where two half-networks are connected by mapping the output…

机器学习 · 计算机科学 2024-12-17 András Balogh , Márk Jelasity