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We study decision rule approximations for generic multi-stage robust linear optimization problems. We consider linear decision rules for the case when the objective coefficients, the recourse matrices, and the right-hand sides are…

最优化与控制 · 数学 2021-05-04 Guanglin Xu , Grani A. Hanasusanto

Hyperspherical Prototypical Learning (HPL) is a supervised approach to representation learning that designs class prototypes on the unit hypersphere. The prototypes bias the representations to class separation in a scale invariant and known…

机器学习 · 计算机科学 2025-04-18 Martin Lindström , Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

Reinforcement learning suffers from limitations in real practices primarily due to the number of required interactions with virtual environments. It results in a challenging problem because we are implausible to obtain a local optimal…

机器学习 · 计算机科学 2024-10-28 Qizhen Wu , Kexin Liu , Lei Chen

Given a set of $n$ sites from $\mathbb{R}^d$, each having some positive weight factor, the Multiplicatively Weighted Voronoi Diagram is a subdivision of space that associates each cell to the site whose weighted Euclidean distance is…

计算几何 · 计算机科学 2024-03-19 Joachim Gudmundsson , Martin P. Seybold , Sampson Wong

Active learning is an important technique to reduce the number of labeled examples in supervised learning. Active learning for binary classification has been well addressed in machine learning. However, active learning of the reject option…

机器学习 · 计算机科学 2020-04-03 Kulin Shah , Naresh Manwani

We consider a suboptimal solution path algorithm for the Support Vector Machine. The solution path algorithm is an effective tool for solving a sequence of a parametrized optimization problems in machine learning. The path of the solutions…

机器学习 · 计算机科学 2011-05-04 Masayuki Karasuyama , Ichiro Takeuchi

Counterfactual explanations are a central tool in interpretable machine learning, yet computing them exactly for complex models remains challenging. For tree ensembles, predictions are piecewise constant over a large collection of…

机器学习 · 计算机科学 2026-05-08 Awa Khouna , Julien Ferry , Thibaut Vidal

This paper introduces hyperspherical prototype networks, which unify classification and regression with prototypes on hyperspherical output spaces. For classification, a common approach is to define prototypes as the mean output vector over…

机器学习 · 计算机科学 2019-10-28 Pascal Mettes , Elise van der Pol , Cees G. M. Snoek

In many machine learning scenarios, looking for the best classifier that fits a particular dataset can be very costly in terms of time and resources. Moreover, it can require deep knowledge of the specific domain. We propose a new technique…

机器学习 · 计算机科学 2022-07-15 Cristina Cornelio , Michele Donini , Andrea Loreggia , Maria Silvia Pini , Francesca Rossi

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

机器学习 · 计算机科学 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

Likelihood-to-evidence ratio estimation is usually cast as either a binary (NRE-A) or a multiclass (NRE-B) classification task. In contrast to the binary classification framework, the current formulation of the multiclass version has an…

机器学习 · 统计学 2024-07-08 Benjamin Kurt Miller , Christoph Weniger , Patrick Forré

Weakly Supervised Object Detection (WSOD) with only image-level annotation has recently attracted wide attention. Many existing methods ignore the inter-image relationship of instances which share similar characteristics while can certainly…

计算机视觉与模式识别 · 计算机科学 2024-06-28 Yu Zhang , Chuang Zhu , Guoqing Yang , Siqi Chen

In this paper, we provide a new scheme for approximating the weakly efficient solution set for a class of vector optimization problems with rational objectives over a feasible set defined by finitely many polynomial inequalities. More…

最优化与控制 · 数学 2022-05-26 Feng Guo , Liguo Jiao

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

机器学习 · 计算机科学 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

Optimal designs for generalized linear models require a prior knowledge of the regression parameters. At certain values of the parameters we propose particular assumptions which allow to derive a locally optimal design for a model without…

统计理论 · 数学 2019-06-26 Osama Idais

We derive an objective function that can be optimized to give an estimator of the Vapnik- Chervonenkis dimension for model selection in regression problems. We verify our estimator is consistent. Then, we verify it performs well compared to…

统计理论 · 数学 2018-08-17 Merlin Mpoudeu , Bertrand Clarke

We present an approach to adaptively utilize deep neural networks in order to reduce the evaluation time on new examples without loss of accuracy. Rather than attempting to redesign or approximate existing networks, we propose two schemes…

机器学习 · 计算机科学 2017-09-20 Tolga Bolukbasi , Joseph Wang , Ofer Dekel , Venkatesh Saligrama

The wide and rapid adoption of deep learning by practitioners brought unintended consequences in many situations such as in the infamous case of Google Photos' racist image recognition algorithm; thus, necessitated the utilization of the…

机器学习 · 计算机科学 2019-05-24 Mehmet Yigit Yildirim , Mert Ozer , Hasan Davulcu

This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class…

统计方法学 · 统计学 2015-02-25 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

The probabilistic classification vector machine (PCVM) synthesizes the advantages of both the support vector machine and the relevant vector machine, delivering a sparse Bayesian solution to classification problems. However, the PCVM is…

机器学习 · 计算机科学 2020-06-30 Shengfei Lyu , Xing Tian , Yang Li , Bingbing Jiang , Huanhuan Chen
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