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We propose \textit{Meta-Regularization}, a novel approach for the adaptive choice of the learning rate in first-order gradient descent methods. Our approach modifies the objective function by adding a regularization term on the learning…

机器学习 · 计算机科学 2021-04-13 Guangzeng Xie , Hao Jin , Dachao Lin , Zhihua Zhang

Overfitting is the bane of data analysts, even when data are plentiful. Formal approaches to understanding this problem focus on statistical inference and generalization of individual analysis procedures. Yet the practice of data analysis…

机器学习 · 计算机科学 2015-09-28 Cynthia Dwork , Vitaly Feldman , Moritz Hardt , Toniann Pitassi , Omer Reingold , Aaron Roth

Data augmentation plays a pivotal role in enhancing and diversifying training data. Nonetheless, consistently improving model performance in varied learning scenarios, especially those with inherent data biases, remains challenging. To…

机器学习 · 计算机科学 2024-06-04 Xiaoling Zhou , Wei Ye , Zhemg Lee , Rui Xie , Shikun Zhang

Data deletion algorithms aim to remove the influence of deleted data points from trained models at a cheaper computational cost than fully retraining those models. However, for sequences of deletions, most prior work in the non-convex…

机器学习 · 计算机科学 2021-06-09 Varun Gupta , Christopher Jung , Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi , Chris Waites

Several useful variance-reduced stochastic gradient algorithms, such as SVRG, SAGA, Finito, and SAG, have been proposed to minimize empirical risks with linear convergence properties to the exact minimizer. The existing convergence results…

机器学习 · 计算机科学 2018-02-19 Bicheng Ying , Kun Yuan , Ali H. Sayed

Sequential dependencies present a fundamental bottleneck in deploying large-scale autoregressive models, particularly for real-time applications. While traditional optimization approaches like pruning and quantization often compromise model…

计算与语言 · 计算机科学 2025-10-09 Yunhai Hu , Zining Liu , Zhenyuan Dong , Tianfan Peng , Bradley McDanel , Sai Qian Zhang

Many sequential decision-making problems that are currently automated, such as those in manufacturing or recommender systems, operate in an environment where there is either little uncertainty, or zero risk of catastrophe. As companies and…

机器学习 · 计算机科学 2023-04-04 Marc Rigter

Inverse problems are in many cases solved with optimization techniques. When the underlying model is linear, first-order gradient methods are usually sufficient. With nonlinear models, due to nonconvexity, one must often resort to…

数值分析 · 数学 2023-05-15 Arttu Arjas , Mikko J. Sillanpää , Andreas Hauptmann

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

最优化与控制 · 数学 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

A deep learning system typically suffers from a lack of reproducibility that is partially rooted in hardware or software implementation details. The irreproducibility leads to skepticism in deep learning technologies and it can hinder them…

计算机视觉与模式识别 · 计算机科学 2024-10-15 Jiahao Pang , Muhammad Asad Lodhi , Junghyun Ahn , Yuning Huang , Dong Tian

Bonferroni's correction is a popular tool to address multiplicity but is notorious for its low power when tests are dependent. This paper proposes a practical modification of Bonferroni's correction when test statistics are jointly normal…

统计方法学 · 统计学 2026-02-24 Caleb Hiltunen , Yeonwoo Rho

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

量子物理 · 物理学 2020-10-07 Vincent Martin , Alain Sarlette

In many learning tasks, certain requirements on the processing of individual data samples should arguably be formalized as strict constraints in the underlying optimization problem, rather than by means of arbitrary penalties. We show that,…

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

统计理论 · 数学 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Adjustment of statistical significance levels for repeated analysis in group sequential trials has been understood for some time. Similarly, methods for adjustment accounting for testing multiple hypotheses are common. There is limited…

统计方法学 · 统计学 2023-11-28 Yujie Zhao , Qi Liu , Linda Z. Sun , Keaven M. Anderson

Retrieval systems rely on representations learned by increasingly powerful models. However, due to the high training cost and inconsistencies in learned representations, there is significant interest in facilitating communication between…

机器学习 · 计算机科学 2026-05-20 Simone Ricci , Niccolò Biondi , Federico Pernici , Ioannis Patras , Alberto Del Bimbo

A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

最优化与控制 · 数学 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

The results from most machine learning experiments are used for a specific purpose and then discarded. This results in a significant loss of information and requires rerunning experiments to compare learning algorithms. This also requires…

机器学习 · 统计学 2014-06-06 Michael R. Smith , Andrew White , Christophe Giraud-Carrier , Tony Martinez

Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

统计方法学 · 统计学 2020-07-07 Wessel N. van Wieringen , Harald Binder

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

机器学习 · 计算机科学 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar