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In this paper, we present a significant improvement of Quick Hypervolume algorithm, one of the state-of-the-art algorithms for calculating exact hypervolume of the space dominated by a set of d-dimensional points. This value is often used…

神经与进化计算 · 计算机科学 2017-08-14 Andrzej Jaszkiewicz

The F-measure, which has originally been introduced in information retrieval, is nowadays routinely used as a performance metric for problems such as binary classification, multi-label classification, and structured output prediction.…

The literature has proposed various robust alternatives to empirical risk minimisation to address failure modes such as distribution shift, label noise and finite-sample degeneracies. Examples include distributionally robust optimization,…

机器学习 · 计算机科学 2026-05-28 Jonas Hanselle , Valentin Margraf , Clemens Damke , Eyke Hüllermeier

Single-image super-resolution is the process of increasing the resolution of an image, obtaining a high-resolution (HR) image from a low-resolution (LR) one. By leveraging large training datasets, convolutional neural networks (CNNs)…

计算机视觉与模式识别 · 计算机科学 2021-09-29 Marija Vella , João F. C. Mota

Simplex-structured matrix factorization (SSMF) is a generalization of nonnegative matrix factorization, a fundamental interpretable data analysis model, and has applications in hyperspectral unmixing and topic modeling. To obtain…

数值分析 · 数学 2025-01-10 Maryam Abdolali , Giovanni Barbarino , Nicolas Gillis

Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

机器学习 · 计算机科学 2019-09-10 Zhenyue Zhang , Yuqing Xia

Existing analyses of optimization in deep learning are either continuous, focusing on (variants of) gradient flow, or discrete, directly treating (variants of) gradient descent. Gradient flow is amenable to theoretical analysis, but is…

机器学习 · 计算机科学 2021-12-30 Omer Elkabetz , Nadav Cohen

We study randomized algorithms for constrained optimization, in abstract frameworks that include, in strictly increasing generality: convex programming; LP-type problems; violator spaces; and a setting we introduce, consistent spaces. Such…

计算几何 · 计算机科学 2019-06-04 Kenneth L. Clarkson , Bernd Gärtner , Johannes Lengler , May Szedlak

In the literature on hyper-parameter tuning, a number of recent solutions rely on low-fidelity observations (e.g., training with sub-sampled datasets) in order to efficiently identify promising configurations to be then tested via…

机器学习 · 计算机科学 2022-12-05 Pedro Mendes , Maria Casimiro , Paolo Romano , David Garlan

Enhancing the generalisation abilities of neural networks (NNs) through integrating noise such as MixUp or Dropout during training has emerged as a powerful and adaptable technique. Despite the proven efficacy of noise in NN training, there…

机器学习 · 计算机科学 2024-04-04 Martin Ferianc , Ondrej Bohdal , Timothy Hospedales , Miguel Rodrigues

Consider a network of $N$ decentralized computing agents collaboratively solving a nonconvex stochastic composite problem. In this work, we propose a single-loop algorithm, called DEEPSTORM, that achieves optimal sample complexity for this…

最优化与控制 · 数学 2023-04-14 Gabriel Mancino-Ball , Shengnan Miao , Yangyang Xu , Jie Chen

Hyperparameter tuning is an important task of machine learning, which can be formulated as a bilevel program (BLP). However, most existing algorithms are not applicable for BLP with non-smooth lower-level problems. To address this, we…

最优化与控制 · 数学 2024-03-04 He Chen , Haochen Xu , Rujun Jiang , Anthony Man-Cho So

In certain real-world optimization scenarios, practitioners are not interested in solving multiple problems but rather in finding the best solution to a single, specific problem. When the computational budget is large relative to the cost…

机器学习 · 计算机科学 2026-02-10 Judith Echevarrieta , Etor Arza , Aritz Pérez , Josu Ceberio

This paper proposes a novel algorithm for semisupervised learning. This algorithm learns graph cuts that maximize the margin with respect to the labels induced by the harmonic function solution. We motivate the approach, compare it to…

机器学习 · 计算机科学 2026-04-30 Branislav Kveton , Michal Valko , Ali Rahimi , Ling Huang

As machine learning applications grow increasingly ubiquitous and complex, they face an increasing set of requirements beyond accuracy. The prevalent approach to handle this challenge is to aggregate a weighted combination of requirement…

机器学习 · 计算机科学 2026-01-07 Aneesh Barthakur , Luiz F. O. Chamon

A core issue with learning to optimize neural networks has been the lack of generalization to real world problems. To address this, we describe a system designed from a generalization-first perspective, learning to update optimizer…

机器学习 · 计算机科学 2021-06-09 Diogo Almeida , Clemens Winter , Jie Tang , Wojciech Zaremba

Hyperparameter optimization is both a practical issue and an interesting theoretical problem in training of deep architectures. Despite many recent advances the most commonly used methods almost universally involve training multiple and…

机器学习 · 计算机科学 2019-09-10 Vlad Pushkarov , Jonathan Efroni , Mykola Maksymenko , Maciej Koch-Janusz

Support vector machine is an important and fundamental technique in machine learning. Soft-margin SVM models have stronger generalization performance compared with the hard-margin SVM. Most existing works use the hinge-loss function which…

最优化与控制 · 数学 2021-05-18 Lu Sitong , Li Qinana

We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

最优化与控制 · 数学 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

We extend the work of Narasimhan and Bilmes [30] for minimizing set functions representable as a difference between submodular functions. Similar to [30], our new algorithms are guaranteed to monotonically reduce the objective function at…

数据结构与算法 · 计算机科学 2013-08-27 Rishabh Iyer , Jeff Bilmes