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Materials with bespoke properties have long been identified by computational searches, and their experimental realisation is now coming within reach through autonomous laboratories. Scattering experiments are central to verifying the atomic…

The classification of random objects within metric spaces without a vector structure has attracted increasing attention. However, the complexity inherent in such non-Euclidean data often restricts existing models to handle only a limited…

统计方法学 · 统计学 2024-03-20 Shuaida He , Jiaqi Li , Xin Chen

Scoring rules are an important tool for evaluating the performance of probabilistic forecasting schemes. In the binary case, scoring rules (which are strictly proper) allow for a decomposition into terms related to the resolution and to the…

大气与海洋物理 · 物理学 2015-05-13 Jochen Bröcker

Correlation testing provides a quick method of discriminating amongst potential terms to include in a nuclear mass formula or functional and is a necessary tool for further nuclear mass models; however a firm mathematical foundation of the…

核理论 · 物理学 2013-05-14 M. G. Bertolli

Mutual information is fundamentally important for measuring statistical dependence between variables and for quantifying information transfer by signaling and communication mechanisms. It can, however, be challenging to evaluate for…

信息论 · 计算机科学 2014-07-29 Clive G. Bowsher , Margaritis Voliotis

The classic supervised classification algorithms are efficient, but time-consuming, complicated and not interpretable, which makes it difficult to analyze their results that limits the possibility to improve them based on real observations.…

计算与语言 · 计算机科学 2018-03-05 Hussam Hamdan

We prove an elementary yet useful inequality bounding the maximal value of certain linear programs. This leads directly to a bound on the martingale difference for arbitrarily dependent random variables, providing a generalization of some…

泛函分析 · 数学 2007-05-23 Leonid Kontorovich

By combining a parameterized Hermitian matrix, the realignment matrix of the bipartite density matrix $\rho$ and the vectorization of its reduced density matrices, we present a family of separability criteria, which are stronger than the…

量子物理 · 物理学 2015-11-03 Shu-Qian Shen , Meng-Yuan Wang , Ming Li , Shao-Ming Fei

We study a separable design for computing information measures, where the information measure is computed from learned feature representations instead of raw data. Under mild assumptions on the feature representations, we demonstrate that a…

信息论 · 计算机科学 2025-01-28 Xiangxiang Xu , Lizhong Zheng

Image Captioning is a current research task to describe the image content using the objects and their relationships in the scene. To tackle this task, two important research areas converge, artificial vision, and natural language…

计算机视觉与模式识别 · 计算机科学 2023-02-15 Othón González-Chávez , Guillermo Ruiz , Daniela Moctezuma , Tania A. Ramirez-delReal

We consider a natural measure of relevance: the reduction in optimal prediction risk in the presence of side information. For any given loss function, this relevance measure captures the benefit of side information for performing inference…

信息论 · 计算机科学 2015-12-23 Jiantao Jiao , Thomas Courtade , Kartik Venkat , Tsachy Weissman

Strictly proper kernel scores are well-known tool in probabilistic forecasting, while characteristic kernels have been extensively investigated in the machine learning literature. We first show that both notions coincide, so that insights…

泛函分析 · 数学 2017-12-15 Ingo Steinwart , Johanna F. Ziegel

This report describes metrics for the evaluation of the effectiveness of segment-based retrieval based on existing binary information retrieval metrics. This metrics are described in the context of a task for the hyperlinking of video…

信息检索 · 计算机科学 2013-12-09 Robin Aly , Maria Eskevich , Roeland Ordelman , Gareth J. F. Jones

Discovering interpretable patterns for classification of sequential data is of key importance for a variety of fields, ranging from genomics to fraud detection or more generally interpretable decision-making. In this paper, we propose a…

机器学习 · 计算机科学 2023-02-23 Marine Collery , Philippe Bonnard , François Fages , Remy Kusters

We construct a probabilistic coherence measure for information sets which determines a partial coherence ordering. This measure is applied in constructing a criterion for expanding our beliefs in the face of new information. A number of…

人工智能 · 计算机科学 2007-05-23 Luc Bovens , Stephan Hartmann

With increasing volume of data being used across machine learning tasks, the capability to target specific subsets of data becomes more important. To aid in this capability, the recently proposed Submodular Mutual Information (SMI) has been…

机器学习 · 计算机科学 2024-10-28 Nathan Beck , Truong Pham , Rishabh Iyer

Information Extraction processes in handwritten documents tend to rely on obtaining an automatic transcription and performing Named Entity Recognition (NER) over such transcription. For this reason, in publicly available datasets, the…

Written language is a complex communication signal capable of conveying information encoded in the form of ordered sequences of words. Beyond the local order ruled by grammar, semantic and thematic structures affect long-range patterns in…

物理与社会 · 物理学 2010-05-17 Marcelo A. Montemurro , Damian Zanette

Prediction algorithms that quantify the expected benefit of a given treatment conditional on patient characteristics can critically inform medical decisions. Quantifying the performance of treatment benefit prediction algorithms is an…

统计方法学 · 统计学 2023-05-17 Yuan Xia , Paul Gustafson , Mohsen Sadatsafavi

Transformation of Machine Learning (ML) from a boutique science to a generally accepted technology has increased importance of reproduction and transportability of ML studies. In the current work, we investigate how corpus characteristics…

计算与语言 · 计算机科学 2018-03-20 Marina Sokolova , Victoria Bobicev