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This paper investigates regret minimization, statistical inference, and their interplay in high-dimensional online decision-making based on the sparse linear context bandit model. We integrate the $\varepsilon$-greedy bandit algorithm for…

机器学习 · 计算机科学 2025-05-20 Congyuan Duan , Wanteng Ma , Jiashuo Jiang , Dong Xia

Proper confidence calibration of deep neural networks is essential for reliable predictions in safety-critical tasks. Miscalibration can lead to model over-confidence and/or under-confidence; i.e., the model's confidence in its prediction…

机器学习 · 计算机科学 2023-08-08 Shuang Ao , Stefan Rueger , Advaith Siddharthan

This letter studies the problem of online multi-step-ahead prediction for unknown linear stochastic systems. Using conditional distribution theory, we derive an optimal parameterization of the prediction policy as a linear function of…

机器学习 · 计算机科学 2025-11-18 Jiachen Qian , Yang Zheng

Recent works have shown that deep neural networks can achieve super-human performance in a wide range of image classification tasks in the medical imaging domain. However, these works have primarily focused on classification accuracy,…

计算机视觉与模式识别 · 计算机科学 2020-09-10 Gongbo Liang , Yu Zhang , Xiaoqin Wang , Nathan Jacobs

In this paper, we broaden the horizon of online convex optimization (OCO), and consider multi-objective OCO, where there are $K$ distinct loss function sequences, and an algorithm has to choose its action at time $t$, before the $K$ loss…

机器学习 · 计算机科学 2026-02-11 Rahul Vaze , Sumiran Mishra

In this work, we propose an efficient minimax optimal global optimization algorithm for multivariate Lipschitz continuous functions. To evaluate the performance of our approach, we utilize the average regret instead of the traditional…

机器学习 · 计算机科学 2022-06-07 Kaan Gokcesu , Hakan Gokcesu

Kalman and H-infinity filters, the most popular paradigms for linear state estimation, are designed for very specific specific noise and disturbance patterns, which may not appear in practice. State observers based on the minimization of…

系统与控制 · 电气工程与系统科学 2022-12-09 Jean-Sébastien Brouillon , Florian Dörfler , Giancarlo Ferrari-Trecate

Reliable confidence estimation for the predictions is important in many safety-critical applications. However, modern deep neural networks are often overconfident for their incorrect predictions. Recently, many calibration methods have been…

机器学习 · 计算机科学 2023-03-07 Fei Zhu , Zhen Cheng , Xu-Yao Zhang , Cheng-Lin Liu

In this paper, we improve the kernel alignment regret bound for online kernel learning in the regime of the Hinge loss function. Previous algorithm achieves a regret of $O((\mathcal{A}_TT\ln{T})^{\frac{1}{4}})$ at a computational complexity…

机器学习 · 计算机科学 2024-03-14 Junfan Li , Shizhong Liao

Online bilevel optimization (OBO) has emerged as a powerful framework for many machine learning problems. Prior works have developed several algorithms that minimize the standard bilevel local regret or the window-averaged bilevel local…

机器学习 · 计算机科学 2026-05-12 Tingkai Jia , Haiguang Wang , Cheng Chen

We consider online learning problems where the aim is to achieve regret which is efficient in the sense that it is the same order as the lowest regret amongst K experts. This is a substantially stronger requirement that achieving…

机器学习 · 计算机科学 2019-11-12 Daron Anderson , Douglas J. Leith

We consider the problem of online prediction in a marginally stable linear dynamical system subject to bounded adversarial or (non-isotropic) stochastic perturbations. This poses two challenges. Firstly, the system is in general…

机器学习 · 计算机科学 2020-11-24 Udaya Ghai , Holden Lee , Karan Singh , Cyril Zhang , Yi Zhang

We develop the first general semi-bandit algorithm that simultaneously achieves $\mathcal{O}(\log T)$ regret for stochastic environments and $\mathcal{O}(\sqrt{T})$ regret for adversarial environments without knowledge of the regime or the…

机器学习 · 计算机科学 2019-09-27 Julian Zimmert , Haipeng Luo , Chen-Yu Wei

The filtering problem of causally estimating a desired signal from a related observation signal is investigated through the lens of regret optimization. Classical filter designs, such as $\mathcal H_2$ (Kalman) and $\mathcal H_\infty$,…

最优化与控制 · 数学 2022-11-23 Oron Sabag , Babak Hassibi

Calibration has emerged as a foundational goal in ``trustworthy machine learning'', in part because of its strong decision theoretic semantics. Independent of the underlying distribution, and independent of the decision maker's utility…

机器学习 · 统计学 2025-10-28 Shayan Kiyani , Hamed Hassani , George Pappas , Aaron Roth

We consider the problem of nonstochastic control with a sequence of quadratic losses, i.e., LQR control. We provide an efficient online algorithm that achieves an optimal dynamic (policy) regret of $\tilde{O}(\text{max}\{n^{1/3}…

机器学习 · 计算机科学 2022-06-22 Dheeraj Baby , Yu-Xiang Wang

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance…

机器学习 · 计算机科学 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

We derive an algorithm that achieves the optimal (within constants) pseudo-regret in both adversarial and stochastic multi-armed bandits without prior knowledge of the regime and time horizon. The algorithm is based on online mirror descent…

机器学习 · 计算机科学 2022-03-03 Julian Zimmert , Yevgeny Seldin

We study the problem of \emph{dynamic regret minimization} in $K$-armed Dueling Bandits under non-stationary or time varying preferences. This is an online learning setup where the agent chooses a pair of items at each round and observes…

机器学习 · 计算机科学 2022-06-14 Aadirupa Saha , Shubham Gupta

Prompt tuning of large-scale vision-language models such as CLIP enables efficient task adaptation without updating model weights. However, it often leads to poor confidence calibration and unreliable predictive uncertainty. We address this…