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Nonlinear regression problem is one of the most popular and important statistical tasks. The first methods like least squares estimation go back to Gauss and Legendre. Recent models and developments in statistics and machine learning like…

统计理论 · 数学 2025-02-20 Vladimir Spokoiny

Recent advances in Deep Learning have greatly improved performance on various tasks such as object detection, image segmentation, sentiment analysis. The focus of most research directions up until very recently has been on beating…

计算机视觉与模式识别 · 计算机科学 2022-11-29 Cristian Simionescu

We introduce mixed model trace regression (MMTR), a mixed model linear regression extension for scalar responses and high-dimensional matrix-valued covariates. MMTR's fixed effects component is equivalent to trace regression, with an…

统计方法学 · 统计学 2025-03-19 Ian Hultman , Sanvesh Srivastava

Contrastive Learning (CL) performances as a rising approach to address the challenge of sparse and noisy recommendation data. Although having achieved promising results, most existing CL methods only perform either hand-crafted data or…

信息检索 · 计算机科学 2023-11-22 Xiuyuan Qin , Huanhuan Yuan , Pengpeng Zhao , Junhua Fang , Fuzhen Zhuang , Guanfeng Liu , Victor Sheng

A simple method for adding uncertainty to neural network regression tasks via estimation of a general probability distribution is described. The methodology supports estimation of heteroscedastic, asymmetric uncertainties by a simple…

大气与海洋物理 · 物理学 2021-09-16 Elizabeth A. Barnes , Randal J. Barnes , Nicolas Gordillo

To improve the robustness of graph neural networks (GNN), graph structure learning (GSL) has attracted great interest due to the pervasiveness of noise in graph data. Many approaches have been proposed for GSL to jointly learn a clean graph…

机器学习 · 计算机科学 2023-07-06 Shaogao Lv , Gang Wen , Shiyu Liu , Linsen Wei , Ming Li

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

机器学习 · 计算机科学 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Anomaly detection tools and methods present a key capability in modern cyberphysical and failure prediction systems. Despite the fast-paced development in deep learning architectures for anomaly detection, model optimization for a given…

机器学习 · 计算机科学 2023-05-29 Marcin Pietron , Dominik Zurek , Kamil Faber , Roberto Corizzo

Uncertainty estimation is a standard tool to quantify the reliability of modern deep learning models, and crucial for many real-world applications. However, efficient uncertainty estimation methods for spiking neural networks, particularly…

机器学习 · 计算机科学 2024-12-03 Tao Sun , Sander Bohté

Mixture density networks are neural networks that produce Gaussian mixtures to represent continuous multimodal conditional densities. Standard training procedures involve maximum likelihood estimation using the negative log-likelihood (NLL)…

机器学习 · 计算机科学 2026-02-12 Yutao Chen , Jasmine Bayrooti , Steven Morad

State-of-the-art neural network language models (NNLMs) represented by long short term memory recurrent neural networks (LSTM-RNNs) and Transformers are becoming highly complex. They are prone to overfitting and poor generalization when…

计算与语言 · 计算机科学 2022-08-30 Boyang Xue , Shoukang Hu , Junhao Xu , Mengzhe Geng , Xunying Liu , Helen Meng

Data-driven turbulence modeling has been considered an effective method for improving the prediction accuracy of Reynolds-averaged Navier-Stokes equations. Related studies aimed to solve the discrepancy of traditional turbulence modeling by…

流体动力学 · 物理学 2020-10-19 Yuhui Yin , Pu Yang , Yufei Zhang , Haixin Chen , Song Fu

Incremental gradient (IG) methods, such as stochastic gradient descent and its variants are commonly used for large scale optimization in machine learning. Despite the sustained effort to make IG methods more data-efficient, it remains an…

机器学习 · 计算机科学 2020-11-18 Baharan Mirzasoleiman , Jeff Bilmes , Jure Leskovec

The shuffled linear regression problem aims to recover linear relationships in datasets where the correspondence between input and output is unknown. This problem arises in a wide range of applications including survey data, in which one…

统计计算 · 统计学 2022-10-03 Efe Onaran , Soledad Villar

Neural network ensembles, such as Bayesian neural networks (BNNs), have shown success in the areas of uncertainty estimation and robustness. However, a crucial challenge prohibits their use in practice. BNNs require a large number of…

机器学习 · 计算机科学 2022-07-15 Namuk Park , Songkuk Kim

Geometry-aware optimization algorithms, such as Muon, have achieved remarkable success in training deep neural networks (DNNs). These methods leverage the underlying geometry of DNNs by selecting appropriate norms for different layers and…

机器学习 · 计算机科学 2026-02-04 Jie Hao , Xiaochuan Gong , Jie Xu , Zhengdao Wang , Mingrui Liu

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

统计理论 · 数学 2025-09-23 Xin Bing , Xin He , Chao Wang

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

计算机视觉与模式识别 · 计算机科学 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

机器学习 · 计算机科学 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

This paper describes the RRMSE (Relative Root Mean Square Error) based weights to weight the occurrences of predictive values before averaging for the ensemble voting regression. The core idea behind ensemble regression is to combine…

机器学习 · 计算机科学 2022-07-12 Shikun Chen , Nguyen Manh Luc
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