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In this work, we propose to study the global geometrical properties of generative models. We introduce a new Riemannian metric to assess the similarity between any two data points. Importantly, our metric is agnostic to the parametrization…

Machine Learning · Computer Science 2024-07-17 Beomsu Kim , Michael Puthawala , Jong Chul Ye , Emanuele Sansone

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

Our goal in this research is to study a more realistic environment in which we can conduct weakly-supervised multi-modal instance-level product retrieval for fine-grained product categories. We first contribute the Product1M datasets, and…

Multimedia · Computer Science 2022-06-20 Xiao Dong , Xunlin Zhan , Yunchao Wei , Xiaoyong Wei , Yaowei Wang , Minlong Lu , Xiaochun Cao , Xiaodan Liang

Active learning is a promising alternative to alleviate the issue of high annotation cost in the computer vision tasks by consciously selecting more informative samples to label. Active learning for object detection is more challenging and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Jiaxi Wu , Jiaxin Chen , Di Huang

While generative models have recently become ubiquitous in many scientific areas, less attention has been paid to their evaluation. For molecular generative models, the state-of-the-art examines their output in isolation or in relation to…

Complex systems are characterised by a tight, nontrivial interplay of their constituents, which gives rise to a multi-scale spectrum of emergent properties. In this scenario, it is practically and conceptually difficult to identify those…

Statistical Mechanics · Physics 2022-10-19 Roi Holtzman , Marco Giulini , Raffaello Potestio

Quantifying the directionality of information flow is instrumental in understanding, and possibly controlling, the operation of many complex systems, such as transportation, social, neural, or gene-regulatory networks. The standard Transfer…

Information Theory · Computer Science 2020-01-09 Jingjing Zhang , Osvaldo Simeone , Zoran Cvetkovic , Eugenio Abela , Mark Richardson

Generative models have the ability to synthesize data points drawn from the data distribution, however, not all generated samples are high quality. In this paper, we propose using a combination of coresets selection methods and ``entropic…

Machine Learning · Computer Science 2023-02-02 Omead Pooladzandi , Pasha Khosravi , Erik Nijkamp , Baharan Mirzasoleiman

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…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Jiyeon Han , Hwanil Choi , Yunjey Choi , Junho Kim , Jung-Woo Ha , Jaesik Choi

Labeling a classification dataset implies to define classes and associated coarse labels, that may approximate a smoother and more complicated ground truth. For example, natural images may contain multiple objects, only one of which is…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Raphael Baena , Lucas Drumetz , Vincent Gripon

Target-oriented discovery under limited evaluation budgets requires making reliable progress in high-dimensional, heterogeneous design spaces where each new measurement is costly, whether experimental or high-fidelity simulation. We present…

Machine Learning · Computer Science 2026-02-04 Yixuan Zhang , Zhiyuan Li , Weijia He , Mian Dai , Chen Shen , Teng Long , Hongbin Zhang

Recent advances in text-to-image generation have improved the quality of synthesized images, but evaluations mainly focus on aesthetics or alignment with text prompts. Thus, it remains unclear whether these models can accurately represent a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Hsin-Ping Huang , Xinyi Wang , Yonatan Bitton , Hagai Taitelbaum , Gaurav Singh Tomar , Ming-Wei Chang , Xuhui Jia , Kelvin C. K. Chan , Hexiang Hu , Yu-Chuan Su , Ming-Hsuan Yang

Uncertainty quantification in Large Language Models (LLMs) is crucial for applications where safety and reliability are important. In particular, uncertainty can be used to improve the trustworthiness of LLMs by detecting factually…

Machine Learning · Computer Science 2024-05-31 Alexander Nikitin , Jannik Kossen , Yarin Gal , Pekka Marttinen

This paper serves a twofold purpose. First, a unified perspective on diversity indices is introduced based on an entropic basis. It is shown that the class of all linear combinations of the entropic basis, referred to as the class of linear…

Statistics Theory · Mathematics 2020-01-22 Zhiyi Zhang , Michael Grabchak

In this work, we introduce Entropy Area Score (EAS), a simple yet effective metric to quantify uncertainty in the answer generation process of reasoning large language models (LLMs). EAS requires neither external models nor repeated…

Artificial Intelligence · Computer Science 2025-08-29 Yongfu Zhu , Lin Sun , Guangxiang Zhao , Weihong Lin , Xiangzheng Zhang

The uncertainty measurement of classifiers' predictions is especially important in applications such as medical diagnoses that need to ensure limited human resources can focus on the most uncertain predictions returned by machine learning…

Machine Learning · Computer Science 2019-07-18 Xuchao Zhang , Fanglan Chen , Chang-Tien Lu , Naren Ramakrishnan

Machine learning models have become more and more complex in order to better approximate complex functions. Although fruitful in many domains, the added complexity has come at the cost of model interpretability. The once popular k-nearest…

A sequence of recent papers has considered the role of measurement scales in information retrieval (IR) experimentation, and presented the argument that (only) uniform-step interval scales should be used, and hence that well-known metrics…

Information Retrieval · Computer Science 2022-07-08 Alistair Moffat

Motivation: Entropy measurements on hierarchical structures have been used in methods for information retrieval and natural language modeling. Here we explore its application to semantic similarity. By finding shared ontology terms,…

Computation and Language · Computer Science 2017-06-20 Andrew Warren , Joao Setubal

The application of standard sufficient dimension reduction methods for reducing the dimension space of predictors without losing regression information requires inverting the covariance matrix of the predictors. This has posed a number of…

Methodology · Statistics 2019-10-01 Kabir Opeyemi Olorede , Waheed Babatunde Yahya
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