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We introduce an online mathematical framework for survival analysis, allowing real time adaptation to dynamic environments and censored data. This framework enables the estimation of event time distributions through an optimal second order…

机器学习 · 计算机科学 2024-02-09 Camila Fernandez , Pierre Gaillard , Joseph de Vilmarest , Olivier Wintenberger

Despite their popularity in deep learning and machine learning in general, the theoretical properties of adaptive optimizers such as Adagrad, RMSProp, Adam or AdamW are not yet fully understood. In this paper, we develop a novel framework…

机器学习 · 计算机科学 2022-11-09 Han Nguyen , Hai Pham , Sashank J. Reddi , Barnabás Póczos

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

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

多智能体系统 · 计算机科学 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed

In this paper, we consider smooth convex optimization problems with simple constraints and inexactness in the oracle information such as value, partial or directional derivatives of the objective function. We introduce a unifying framework,…

最优化与控制 · 数学 2020-12-17 Pavel Dvurechensky , Alexander Gasnikov , Alexander Tiurin , Vladimir Zholobov

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

最优化与控制 · 数学 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

Existing approaches to resource allocation for nowadays stochastic networks are challenged to meet fast convergence and tolerable delay requirements. The present paper leverages online learning advances to facilitate stochastic resource…

最优化与控制 · 数学 2017-05-24 Tianyi Chen , Aryan Mokhtari , Xin Wang , Alejandro Ribeiro , Georgios B. Giannakis

The vast majority of optimization and online learning algorithms today require some prior information about the data (often in the form of bounds on gradients or on the optimal parameter value). When this information is not available, these…

机器学习 · 计算机科学 2017-06-07 Ashok Cutkosky , Kwabena Boahen

Optimization lies at the core of modern deep learning, yet existing methods often face a fundamental trade-off between adapting to problem geometry and leveraging curvature utilization. Steepest descent algorithms adapt to different…

Existing trajectory prediction methods exhibit significant performance degradation under distribution shifts during test time. Although test-time training techniques have been explored to enable adaptation, current approaches rely on an…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Yuning Wang , Pu Zhang , Yuan He , Ke Wang , Jianru Xue

We present a novel method for convex unconstrained optimization that, without any modifications, ensures: (i) accelerated convergence rate for smooth objectives, (ii) standard convergence rate in the general (non-smooth) setting, and (iii)…

机器学习 · 计算机科学 2018-09-11 Kfir Y. Levy , Alp Yurtsever , Volkan Cevher

Optimization and generalization are two essential aspects of statistical machine learning. In this paper, we propose a framework to connect optimization with generalization by analyzing the generalization error based on the optimization…

机器学习 · 统计学 2022-10-13 Fusheng Liu , Haizhao Yang , Soufiane Hayou , Qianxiao Li

In this paper, we investigate the framework of Online Convex Optimization (OCO) for online learning. OCO offers a very powerful online learning framework for many applications. In this context, we study a specific framework of OCO called…

机器学习 · 计算机科学 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

Dropout and other feature noising schemes control overfitting by artificially corrupting the training data. For generalized linear models, dropout performs a form of adaptive regularization. Using this viewpoint, we show that the dropout…

机器学习 · 统计学 2013-11-04 Stefan Wager , Sida Wang , Percy Liang

Online optimisation revolves around new data being introduced into a problem while it is still being solved; think of deep learning as more training samples become available. We adapt the idea to dynamic inverse problems such as video…

最优化与控制 · 数学 2021-01-06 Tuomo Valkonen

We introduce a general method for improving the convergence rate of gradient-based optimizers that is easy to implement and works well in practice. We demonstrate the effectiveness of the method in a range of optimization problems by…

机器学习 · 计算机科学 2018-08-23 Atilim Gunes Baydin , Robert Cornish , David Martinez Rubio , Mark Schmidt , Frank Wood

Learning for maximizing AUC performance is an important research problem in Machine Learning and Artificial Intelligence. Unlike traditional batch learning methods for maximizing AUC which often suffer from poor scalability, recent years…

机器学习 · 计算机科学 2016-02-02 Yi Ding , Peilin Zhao , Steven C. H. Hoi , Yew-Soon Ong

It is known that adaptive optimization algorithms represent the key pillar behind the rise of the Machine Learning field. In the Optimization literature numerous studies have been devoted to accelerated gradient methods but only recently…

最优化与控制 · 数学 2024-02-02 Cristian Daniel Alecsa

This paper considers stochastic-constrained stochastic optimization where the stochastic constraint is to satisfy that the expectation of a random function is below a certain threshold. In particular, we study the setting where data samples…

最优化与控制 · 数学 2026-01-27 Yeongjong Kim , Dabeen Lee

We propose a new problem formulation and a corresponding evaluation framework to advance research on unsupervised domain adaptation for semantic image segmentation. The overall goal is fostering the development of adaptive learning systems…

计算机视觉与模式识别 · 计算机科学 2022-03-31 Riccardo Volpi , Pau de Jorge , Diane Larlus , Gabriela Csurka