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The generalization performance of kernel ridge regression (KRR) exhibits a multi-phased pattern that crucially depends on the scaling relationship between the sample size $n$ and the underlying dimension $d$. This phenomenon is due to the…

机器学习 · 计算机科学 2022-05-16 Hong Hu , Yue M. Lu

Two aspects of neural networks that have been extensively studied in the recent literature are their function approximation properties and their training by gradient descent methods. The approximation problem seeks accurate approximations…

机器学习 · 计算机科学 2022-09-20 R. Gentile , G. Welper

Fully supervised deep neural networks for segmentation usually require a massive amount of pixel-level labels which are manually expensive to create. In this work, we develop a multi-task learning method to relax this constraint. We regard…

计算机视觉与模式识别 · 计算机科学 2021-04-07 Rihuan Ke , Aurélie Bugeau , Nicolas Papadakis , Mark Kirkland , Peter Schuetz , Carola-Bibiane Schönlieb

Modern reinforcement learning (RL) often faces an enormous state-action space. Existing analytical results are typically for settings with a small number of state-actions, or simple models such as linearly modeled Q-functions. To derive…

机器学习 · 计算机科学 2023-02-03 Sing-Yuan Yeh , Fu-Chieh Chang , Chang-Wei Yueh , Pei-Yuan Wu , Alberto Bernacchia , Sattar Vakili

Random Fourier features provide a way to tackle large-scale machine learning problems with kernel methods. Their slow Monte Carlo convergence rate has motivated the research of deterministic Fourier features whose approximation error can…

机器学习 · 计算机科学 2021-10-20 Frederiek Wesel , Kim Batselier

Multivariate functions encountered in high-dimensional uncertainty quantification problems often vary most strongly along a few dominant directions in the input parameter space. We propose a gradient-based method for detecting these…

偏微分方程分析 · 数学 2019-11-11 Olivier Zahm , Paul Constantine , Clémentine Prieur , Youssef Marzouk

We propose an algorithm for the adaptation of the learning rate for stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation: to get an estimate…

机器学习 · 统计学 2020-08-28 Antti Koskela , Antti Honkela

We propose a simple architecture for deep reinforcement learning by embedding inputs into a learned Fourier basis and show that it improves the sample efficiency of both state-based and image-based RL. We perform infinite-width analysis of…

机器学习 · 计算机科学 2021-12-07 Alexander C. Li , Deepak Pathak

Neural networks trained by empirical risk minimization often suffer from overfitting, especially to specific samples or domains, which leads to poor generalization. Curriculum Learning (CL) addresses this issue by selecting training samples…

计算机视觉与模式识别 · 计算机科学 2025-08-27 Hiroaki Aizawa , Yoshikazu Hayashi

Attention layers -- which map a sequence of inputs to a sequence of outputs -- are core building blocks of the Transformer architecture which has achieved significant breakthroughs in modern artificial intelligence. This paper presents a…

机器学习 · 计算机科学 2023-07-24 Hengyu Fu , Tianyu Guo , Yu Bai , Song Mei

In artificial neural networks, learning from data is a computationally demanding task in which a large number of connection weights are iteratively tuned through stochastic-gradient-based heuristic processes over a cost-function. It is not…

In contrast to SGD, adaptive gradient methods like Adam allow robust training of modern deep networks, especially large language models. However, the use of adaptivity not only comes at the cost of extra memory but also raises the…

机器学习 · 计算机科学 2022-07-20 Zhiyuan Li , Srinadh Bhojanapalli , Manzil Zaheer , Sashank J. Reddi , Sanjiv Kumar

Multi-task learning (MTL) is a novel framework to learn several tasks simultaneously with a single shared network where each task has its distinct personalized header network for fine-tuning. MTL can be implemented in federated learning…

机器学习 · 计算机科学 2022-03-28 Matin Mortaheb , Cemil Vahapoglu , Sennur Ulukus

Federated learning (FL), as a collaborative distributed training paradigm with several edge computing devices under the coordination of a centralized server, is plagued by inconsistent local stationary points due to the heterogeneity of the…

系统与控制 · 电气工程与系统科学 2023-02-14 Yixing Liu , Yan Sun , Zhengtao Ding , Li Shen , Bo Liu , Dacheng Tao

The current deep learning model is of a single-grade, that is, it learns a deep neural network by solving a single nonconvex optimization problem. When the layer number of the neural network is large, it is computationally challenging to…

机器学习 · 计算机科学 2023-02-02 Yuesheng Xu

Large language models (LLMs) have made fundamental contributions over the last a few years. To train an LLM, one needs to alternatingly run `forward' computations and `backward' computations. The forward computation can be viewed as…

机器学习 · 计算机科学 2024-02-08 Josh Alman , Zhao Song

Benefiting from the spatial cues embedded in depth images, recent progress on RGB-D saliency detection shows impressive ability on some challenge scenarios. However, there are still two limitations. One hand is that the pooling and…

计算机视觉与模式识别 · 计算机科学 2020-07-24 Wei Ji , Jingjing Li , Miao Zhang , Yongri Piao , Huchuan Lu

Multinomial Logit (MNL) is one of the most popular discrete choice models and has been widely used to model ranking data. However, there is a long-standing technical challenge of learning MNL from many real-world ranking data: exact…

机器学习 · 计算机科学 2022-01-03 Jiaqi Ma , Xingjian Zhang , Qiaozhu Mei

Tree-based models are widely recognized for their interpretability and have proven effective in various application domains, particularly in high-stakes domains. However, learning decision trees (DTs) poses a significant challenge due to…

机器学习 · 计算机科学 2026-03-13 Sascha Marton

Deep multi-task learning attracts much attention in recent years as it achieves good performance in many applications. Feature learning is important to deep multi-task learning for sharing common information among tasks. In this paper, we…

机器学习 · 计算机科学 2020-02-13 Pengxin Guo , Chang Deng , Linjie Xu , Xiaonan Huang , Yu Zhang