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Numerosity perception is foundational to mathematical learning, but its computational bases are strongly debated. Some investigators argue that humans are endowed with a specialized system supporting numerical representation; others argue…

计算机视觉与模式识别 · 计算机科学 2019-07-17 Alberto Testolin , Serena Dolfi , Mathijs Rochus , Marco Zorzi

Evaluation metrics in image synthesis play a key role to measure performances of generative models. However, most metrics mainly focus on image fidelity. Existing diversity metrics are derived by comparing distributions, and thus they…

计算机视觉与模式识别 · 计算机科学 2022-06-28 Jiyeon Han , Hwanil Choi , Yunjey Choi , Junho Kim , Jung-Woo Ha , Jaesik Choi

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

统计理论 · 数学 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

Entropy measures of probability distributions are widely used measures in ecology, biology, genetics, and in other fields, to quantify species diversity of a community. Unfortunately, entropy-based diversity indices, or diversity indices…

种群与进化 · 定量生物学 2014-08-14 Karim T. Abou-Moustafa

Distance metric learning (DML) approaches learn a transformation to a representation space where distance is in correspondence with a predefined notion of similarity. While such models offer a number of compelling benefits, it has been…

机器学习 · 统计学 2016-03-03 Oren Rippel , Manohar Paluri , Piotr Dollar , Lubomir Bourdev

This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a data-dependent manner. Our bounds improve previous bounds…

机器学习 · 计算机科学 2022-08-04 Kenji Kawaguchi , Zhun Deng , Kyle Luh , Jiaoyang Huang

Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves several challenges, including the choice of features to…

机器学习 · 计算机科学 2024-09-04 Alexandre Benatti , Luciano da F. Costa

Decomposition analysis is a critical tool for understanding the social and spatial dimensions of segregation and diversity. In this paper, I highlight the conceptual, mathematical, and empirical distinctions between segregation and…

统计方法学 · 统计学 2024-02-22 Elizabeth Roberto

We use citation data of scientific articles produced by individual nations in different scientific domains to determine the structure and efficiency of national research systems. We characterize the scientific fitness of each nation (that…

物理与社会 · 物理学 2015-06-22 Giulio Cimini , Andrea Gabrielli , Francesco Sylos Labini

Dense crowd counting aims to predict thousands of human instances from an image, by calculating integrals of a density map over image pixels. Existing approaches mainly suffer from the extreme density variances. Such density pattern shift…

计算机视觉与模式识别 · 计算机科学 2019-08-09 Chenfeng Xu , Kai Qiu , Jianlong Fu , Song Bai , Yongchao Xu , Xiang Bai

Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

最优化与控制 · 数学 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

Classifier ensemble generally should combine diverse component classifiers. However, it is difficult to give a definitive connection between diversity measure and ensemble accuracy. Given a list of available component classifiers, how to…

机器学习 · 计算机科学 2014-06-06 Xu-Cheng Yin , Chun Yang , Hong-Wei Hao

This paper focuses on the problem of unbounded density ratio estimation -- an understudied yet critical challenge in statistical learning -- and its application to covariate shift adaptation. Much of the existing literature assumes that the…

机器学习 · 统计学 2026-04-01 Ren-Rui Liu , Jun Fan , Lei Shi , Zheng-Chu Guo

Robustness and Effectiveness are critical aspects of developing dense retrieval models for real-world applications. It is known that there is a trade-off between the two. Recent work has addressed scaling laws of effectiveness in dense…

信息检索 · 计算机科学 2025-06-02 Yu-An Liu , Ruqing Zhang , Jiafeng Guo , Maarten de Rijke , Yixing Fan , Xueqi Cheng

Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning of individual units may be important, there has…

机器学习 · 计算机科学 2023-11-17 Meenakshi Khosla , Alex H. Williams

We introduce a novel framework for uncertainty quantification in clustering that combines martingale posterior distributions with density-based clustering. Unlike classical model-based approaches, which define clusters at the latent level…

机器学习 · 统计学 2026-04-20 Nicola Bariletto , Stephen G. Walker

Uncertainty estimation has been widely studied in medical image segmentation as a tool to provide reliability, particularly in deep learning approaches. However, previous methods generally lack effective supervision in uncertainty…

计算机视觉与模式识别 · 计算机科学 2025-10-15 Yuzhu Li , An Sui , Fuping Wu , Xiahai Zhuang

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

统计理论 · 数学 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

In the context of industrially mass-manufactured products, quality management is based on physically inspecting a small sample from a large batch and reasoning about the batch's quality conformance. When complementing physical inspections…

应用统计 · 统计学 2024-02-22 Simon Cramer , Tobias Müller , Robert H. Schmitt

Given a probability measure with density, Fermat distances and density-driven metrics are conformal transformations of the Euclidean metric that shrink distances in high density areas and enlarge distances in low density areas. Although…

统计理论 · 数学 2026-01-22 Jérôme Taupin , Frédéric Chazal