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In this work, we propose a model order reduction framework to deal with inverse problems in a non-intrusive setting. Inverse problems, especially in a partial differential equation context, require a huge computational load due to the…

数值分析 · 数学 2024-01-22 Anna Ivagnes , Nicola Demo , Gianluigi Rozza

Deep neural networks are widely used in various domains. However, the nature of computations at each layer of the deep networks is far from being well understood. Increasing the interpretability of deep neural networks is thus important.…

机器学习 · 计算机科学 2018-12-19 Haiping Huang

Dimensional reduction~(DR) maps high-dimensional data into a lower dimensions latent space with minimized defined optimization objectives. The DR method usually falls into feature selection~(FS) and feature projection~(FP). FS focuses on…

机器学习 · 计算机科学 2022-11-24 Zelin Zang , Yongjie Xu , Linyan Lu , Yulan Geng , Senqiao Yang , Stan Z. Li

Recognizing named entities (NEs) is commonly conducted as a classification problem that predicts a class tag for a word or a NE candidate in a sentence. In shallow structures, categorized features are weighted to support the prediction.…

计算与语言 · 计算机科学 2022-02-01 Yanping Chen , Lefei Wu , Qinghua Zheng , Ruizhang Huang , Jun Liu , Liyuan Deng , Junhui Yu , Yongbin Qing , Bo Dong , Ping Chen

Batch Normalization (BN) has become a core design block of modern Convolutional Neural Networks (CNNs). A typical modern CNN has a large number of BN layers in its lean and deep architecture. BN requires mean and variance calculations over…

计算机视觉与模式识别 · 计算机科学 2019-03-04 Wonkyung Jung , Daejin Jung , and Byeongho Kim , Sunjung Lee , Wonjong Rhee , Jung Ho Ahn

In image enhancement tasks, such as low-light and underwater image enhancement, a degraded image can correspond to multiple plausible target images due to dynamic photography conditions. This naturally results in a one-to-many mapping…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Guoxi Huang , Qirui Yang , Ruirui Lin , Zipeng Qi , David Bull , Nantheera Anantrasirichai

Recently, deep learning has been widely applied in functional data analysis (FDA) with notable empirical success. However, the infinite dimensionality of functional data necessitates an effective dimension reduction approach for functional…

机器学习 · 统计学 2025-05-13 Zhongjie Shi , Jun Fan , Linhao Song , Ding-Xuan Zhou , Johan A. K. Suykens

Largest theoretical contribution to Neural Networks comes from VC Dimension which characterizes the sample complexity of classification model in a probabilistic view and are widely used to study the generalization error. So far in the…

机器学习 · 计算机科学 2024-09-05 Linu Pinto , Sasi Gopalan

This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible. In many applications, the spatial distribution of a field needs to be…

机器学习 · 计算机科学 2021-09-01 Roberto Ponciroli , Andrea Rovinelli , Lander Ibarra

To solve high-dimensional parameter-dependent partial differential equations (pPDEs), a neural network architecture is presented. It is constructed to map parameters of the model data to corresponding finite element solutions. To improve…

数值分析 · 数学 2024-03-20 Janina E. Schütte , Martin Eigel

A memory efficient approach to ensembling neural networks is to share most weights among the ensembled models by means of a single reference network. We refer to this strategy as Embedded Ensembling (EE); its particular examples are…

Ensemble methods are known for enhancing the accuracy and robustness of machine learning models by combining multiple base learners. However, standard approaches like greedy or random ensembling often fall short, as they assume a constant…

机器学习 · 计算机科学 2025-06-24 Sebastian Pineda Arango , Maciej Janowski , Lennart Purucker , Arber Zela , Frank Hutter , Josif Grabocka

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

动力系统 · 数学 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

Ensemble learning has gain attention in resent deep learning research as a way to further boost the accuracy and generalizability of deep neural network (DNN) models. Recent ensemble training method explores different training algorithms or…

机器学习 · 计算机科学 2023-01-20 Jingchi Zhang , Huanrui Yang , Hai Li

Neural network pruning has become increasingly crucial due to the complexity of these models and their widespread use in various fields. Existing pruning algorithms often suffer from limitations such as architecture specificity, excessive…

机器学习 · 计算机科学 2024-06-11 Michele Mastromattei , Fabio Massimo Zanzotto

For the task of subdecimeter aerial imagery segmentation, fine-grained semantic segmentation results are usually difficult to obtain because of complex remote sensing content and optical conditions. Recently, convolutional neural networks…

计算机视觉与模式识别 · 计算机科学 2018-08-28 Kai Yue , Lei Yang , Ruirui Li , Wei Hu , Fan Zhang , Wei Li

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Modern day Language Models see extensive use in text classification, yet this comes at significant computational cost. Compute-effective classification models are needed for low-resource environments, most notably on edge devices. We…

机器学习 · 计算机科学 2024-11-22 Stan Loosmore , Alexander Titus

Ensemble methods for supervised machine learning have become popular due to their ability to accurately predict class labels with groups of simple, lightweight "base learners." While ensembles offer computationally efficient models that…

机器学习 · 统计学 2011-09-01 Orianna DeMasi , Juan Meza , David H. Bailey

The remarkable success of Deep Neural Networks(DNN) is driven by gradient-based optimization, yet this process is often undermined by its tendency to produce disordered weight structures, which harms feature clarity and degrades learning…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Anzhe Cheng , Chenzhong Yin , Mingxi Cheng , Shukai Duan , Shahin Nazarian , Paul Bogdan