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In this paper, we consider an elliptic eigenvalue problem with multiscale, randomly perturbed coefficients. For an efficient and accurate approximation of the solutions for many different realizations of the coefficient, we propose a…

数值分析 · 数学 2025-07-08 Dilini Kolombage , Barbara Verfürth

Despite remarkable progress in recent years, Vision Language Models (VLMs) remain prone to overconfidence and hallucinations on tasks such as Visual Question Answering (VQA) and Visual Reasoning. Bayesian methods can potentially improve…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Tobias Jan Wieczorek , Nathalie Daun , Mohammad Emtiyaz Khan , Marcus Rohrbach

Let $(Y_t)_{t\geq 1}$ be a sequence of i.i.d.\ observations and $\{f_\theta,\theta\in \mathbb{R}^d\}$ be a parametric model. We introduce a new online algorithm for computing a sequence $(\hat{\theta}_t)_{t\geq 1}$ which is shown to…

统计理论 · 数学 2020-10-20 Mathieu Gerber , Kari Heine

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

We present methods for online linear optimization that take advantage of benign (as opposed to worst-case) sequences. Specifically if the sequence encountered by the learner is described well by a known "predictable process", the algorithms…

机器学习 · 统计学 2014-05-27 Alexander Rakhlin , Karthik Sridharan

Considering non-stationary environments in online optimization enables decision-maker to effectively adapt to changes and improve its performance over time. In such cases, it is favorable to adopt a strategy that minimizes the negative…

系统与控制 · 电气工程与系统科学 2024-04-05 Siyi Wang , Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson , Sandra Hirche

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

Information visualization significantly enhances human perception by graphically representing complex data sets. The variety of visualization designs makes it challenging to efficiently evaluate all possible designs catering to users'…

统计方法学 · 统计学 2020-04-07 Xiaoning Kang , Xiaoyu Chen , Ran Jin , Hao Wu , Xinwei Deng

We introduce a transformation framework that can be utilized to develop online algorithms with low $\epsilon$-approximate regret in the random-order model from offline approximation algorithms. We first give a general reduction theorem that…

机器学习 · 计算机科学 2023-10-27 Jing Dong , Yuichi Yoshida

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

最优化与控制 · 数学 2021-12-07 Rishabh Gupta , Qi Zhang

In this article, we introduce an adaptive online model update algorithm designed for predictive control applications in networked systems, particularly focusing on power distribution systems. Unlike traditional methods that depend on…

系统与控制 · 电气工程与系统科学 2024-07-18 Vivek Khatana , Chin-Yao Chang , Wenbo Wang

The options framework for hierarchical reinforcement learning has increased its popularity in recent years and has made improvements in tackling the scalability problem in reinforcement learning. Yet, most of these recent successes are…

机器学习 · 计算机科学 2022-03-11 Vittorio Giammarino , Ioannis Ch. Paschalidis

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

数据结构与算法 · 计算机科学 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

机器学习 · 计算机科学 2021-12-08 Gautam Goel , Babak Hassibi

Learning-augmented algorithms have received significant attention in recent years, particularly in the context of online optimization. Motivated by the high computational cost of generating predictions, a growing line of work studies the…

数据结构与算法 · 计算机科学 2026-05-27 Yongho Shin , Phanu Vajanopath

This paper studies a long-term resource allocation problem over multiple periods where each period requires a multi-stage decision-making process. We formulate the problem as an online allocation problem in an episodic finite-horizon…

数据结构与算法 · 计算机科学 2023-10-20 Duksang Lee , William Overman , Dabeen Lee

We introduce OFTER, a time series forecasting pipeline tailored for mid-sized multivariate time series. OFTER utilizes the non-parametric models of k-nearest neighbors and Generalized Regression Neural Networks, integrated with a…

机器学习 · 统计学 2023-04-11 Nikolas Michael , Mihai Cucuringu , Sam Howison

We propose and experimentally demonstrate an innovative stock index prediction method using a weighted optical reservoir computing system. We construct fundamental market data combined with macroeconomic data and technical indicators to…

机器学习 · 计算机科学 2024-08-02 Fang Wang , Ting Bu , Yuping Huang

Online learning constitutes a mathematical and compelling framework to analyze sequential decision making problems in adversarial environments. The learner repeatedly chooses an action, the environment responds with an outcome, and then the…

机器学习 · 计算机科学 2012-10-05 Mehrdad Mahdavi , Tianbao Yang , Rong Jin