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This article reviews recent advances in convex optimization algorithms for Big Data, which aim to reduce the computational, storage, and communications bottlenecks. We provide an overview of this emerging field, describe contemporary…

最优化与控制 · 数学 2014-11-05 Volkan Cevher , Stephen Becker , Mark Schmidt

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

机器学习 · 计算机科学 2024-10-28 Shudian Zhao , Jan Kronqvist

Cost-sensitive learning relies on the availability of a known and fixed cost matrix. However, in some scenarios, the cost matrix is uncertain during training, and re-train a classifier after the cost matrix is specified would not be an…

机器学习 · 计算机科学 2012-09-11 Rui Wang , Ke Tang

Given any algorithm for convex optimization that uses exact first-order information (i.e., function values and subgradients), we show how to use such an algorithm to solve the problem with access to inexact first-order information. This is…

最优化与控制 · 数学 2024-06-04 Phillip Kerger , Marco Molinaro , Hongyi Jiang , Amitabh Basu

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

Memory-augmented neural networks consisting of a neural controller and an external memory have shown potentials in long-term sequential learning. Current RAM-like memory models maintain memory accessing every timesteps, thus they do not…

机器学习 · 计算机科学 2019-03-21 Hung Le , Truyen Tran , Svetha Venkatesh

We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions, based on adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient, has…

机器学习 · 计算机科学 2017-01-31 Diederik P. Kingma , Jimmy Ba

The optimization-based meta-learning approach is gaining increased traction because of its unique ability to quickly adapt to a new task using only small amounts of data. However, existing optimization-based meta-learning approaches, such…

机器学习 · 计算机科学 2024-12-17 Honglin Yang , Ji Ma , Xiao Yu

In this paper, we study stochastic optimization of areas under precision-recall curves (AUPRC), which is widely used for combating imbalanced classification tasks. Although a few methods have been proposed for maximizing AUPRC, stochastic…

机器学习 · 计算机科学 2022-03-07 Guanghui Wang , Ming Yang , Lijun Zhang , Tianbao Yang

This paper studies online optimization under inventory (budget) constraints. While online optimization is a well-studied topic, versions with inventory constraints have proven difficult. We consider a formulation of inventory-constrained…

性能 · 计算机科学 2024-12-20 Qiulin Lin , Hanling Yi , John Pang , Minghua Chen , Adam Wierman , Michael Honig , Yuanzhang Xiao

The Area Under the ROC Curve (AUC) is a crucial metric for machine learning, which evaluates the average performance over all possible True Positive Rates (TPRs) and False Positive Rates (FPRs). Based on the knowledge that a skillful…

机器学习 · 计算机科学 2022-06-24 Zhiyong Yang , Qianqian Xu , Shilong Bao , Yuan He , Xiaochun Cao , Qingming Huang

To address the uncertainty in function types, recent progress in online convex optimization (OCO) has spurred the development of universal algorithms that simultaneously attain minimax rates for multiple types of convex functions. However,…

机器学习 · 计算机科学 2024-05-31 Wenhao Yang , Yibo Wang , Peng Zhao , Lijun Zhang

Effective caching is crucial for the performance of modern-day computing systems. A key optimization problem arising in caching -- which item to evict to make room for a new item -- cannot be optimally solved without knowing the future.…

机器学习 · 计算机科学 2021-06-29 Jakub Chłędowski , Adam Polak , Bartosz Szabucki , Konrad Zolna

Machine Unlearning (MU) aims at removing the influence of specific data points from a trained model, striving to achieve this at a fraction of the cost of full model retraining. In this paper, we analyze the efficiency of unlearning methods…

机器学习 · 统计学 2025-06-24 Martin Van Waerebeke , Marco Lorenzi , Giovanni Neglia , Kevin Scaman

Current techniques for deep neural network (DNN) pruning often involve intricate multi-step processes that require domain-specific expertise, making their widespread adoption challenging. To address the limitation, the Only-Train-Once (OTO)…

计算机视觉与模式识别 · 计算机科学 2024-03-25 Xidong Wu , Shangqian Gao , Zeyu Zhang , Zhenzhen Li , Runxue Bao , Yanfu Zhang , Xiaoqian Wang , Heng Huang

We apply the PAC-Bayes theory to the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable generalization guarantees (PAC-bounds) and explicit trade-off…

机器学习 · 计算机科学 2023-02-16 Michael Sucker , Peter Ochs

At its core, machine learning seeks to train models that reliably generalize beyond noisy observations; however, the theoretical vacuum in which state-of-the-art universal approximation theorems (UATs) operate isolates them from this goal,…

机器学习 · 统计学 2025-09-03 Anastasis Kratsios , Tin Sum Cheng , Daniel Roy

Continual learning, the setting where a learning agent is faced with a never ending stream of data, continues to be a great challenge for modern machine learning systems. In particular the online or "single-pass through the data" setting…

机器学习 · 计算机科学 2019-10-31 Rahaf Aljundi , Lucas Caccia , Eugene Belilovsky , Massimo Caccia , Min Lin , Laurent Charlin , Tinne Tuytelaars

We exploit analogies between first-order algorithms for constrained optimization and non-smooth dynamical systems to design a new class of accelerated first-order algorithms for constrained optimization. Unlike Frank-Wolfe or projected…

最优化与控制 · 数学 2025-05-02 Michael Muehlebach , Michael I. Jordan

Safe learning and optimization deals with learning and optimization problems that avoid, as much as possible, the evaluation of non-safe input points, which are solutions, policies, or strategies that cause an irrecoverable loss (e.g.,…

机器学习 · 计算机科学 2021-06-25 Youngmin Kim , Richard Allmendinger , Manuel López-Ibáñez
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