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The marginal likelihood is a central tool for drawing Bayesian inference about the number of components in mixture models. It is often approximated since the exact form is unavailable. A bias in the approximation may be due to an incomplete…

Computation · Statistics 2014-11-14 Jeong Eun Lee , Christian P. Robert

Inference is a versatile tool that underlies scientific discovery, machine learning, and everyday decision-making: it describes how an agent updates a probability distribution as partial information is acquired from multiple measurements,…

Statistical Mechanics · Physics 2026-01-27 Nathan Shettell , Alexia Auffèves

Cosmological experiments often employ Bayesian workflows to derive constraints on cosmological and astrophysical parameters from their data. It has been shown that these constraints can be combined across different probes such as Planck and…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-28 Harry Bevins , Will Handley , Pablo Lemos , Peter Sims , Eloy de Lera Acedo , Anastasia Fialkov

Real-world data typically contain a large number of features that are often heterogeneous in nature, relevance, and also units of measure. When assessing the similarity between data points, one can build various distance measures using…

Machine Learning · Statistics 2022-05-27 Aldo Glielmo , Claudio Zeni , Bingqing Cheng , Gabor Csanyi , Alessandro Laio

Imputing missing values is an important preprocessing step in data analysis, but the literature offers little guidance on how to choose between different imputation models. This letter suggests adopting the imputation model that generates a…

Methodology · Statistics 2021-07-13 Moritz Marbach

In this paper, we investigate which questions are challenging for retrieval-based Question Answering (QA). We (i) propose retrieval complexity (RC), a novel metric conditioned on the completeness of retrieved documents, which measures the…

Computation and Language · Computer Science 2024-06-07 Matteo Gabburo , Nicolaas Paul Jedema , Siddhant Garg , Leonardo F. R. Ribeiro , Alessandro Moschitti

Accurate and precise covariance matrices will be important in enabling planned cosmological surveys to detect new physics. Standard methods imply either the need for many N-body simulations in order to obtain an accurate estimate, or a…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-13 Alex Hall , Andy Taylor

According to the principle of polyrepresentation, retrieval accuracy may improve through the combination of multiple and diverse information object representations about e.g. the context of the user, the information sought, or the retrieval…

Information Retrieval · Computer Science 2017-04-07 Christina Lioma , Birger Larsen , Peter Ingwersen

We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on coarse measurements. The approach is motivated by quasi-local numerical effective forward…

Numerical Analysis · Mathematics 2020-05-05 Alfonso Caiazzo , Roland Maier , Daniel Peterseim

Traditional pairwise sequence alignment is based on matching individual samples from two sequences, under time monotonicity constraints. However, in many application settings matching subsequences (segments) instead of individual samples…

Databases · Computer Science 2016-09-28 Shahriar Shariat , Vladimir Pavlovic

Quantitative facts are continually generated by companies and governments, supporting data-driven decision-making. While common facts are structured, many long-tail quantitative facts remain buried in unstructured documents, making them…

Information Retrieval · Computer Science 2025-07-15 Yixuan Cao , Zhengrong Chen , Chengxuan Xia , Kun Wu , Ping Luo

Quantifying bias in retrieval functions through document retrievability scores is vital for assessing recall-oriented retrieval systems. However, many studies investigating retrieval model bias lack validation of their query generation…

Information Retrieval · Computer Science 2024-04-16 Aman Sinha , Priyanshu Raj Mall , Dwaipayan Roy

Recent numerical results show that non-Bayesian knowledge revision may be helpful in search engine training and optimization. In order to demonstrate how basic assumption about about the physical nature (and hence the observed statistics)…

Information Retrieval · Computer Science 2013-05-24 Roman Zapatrin

Capturing the similarities between human language units is crucial for explaining how humans associate different objects, and therefore its computation has received extensive attention, research, and applications. With the ever-increasing…

Computation and Language · Computer Science 2025-09-04 Wenchuan Mu

Plausibility is a formalization of exact tests for parametric models and generalizes procedures such as Fisher's exact test. The resulting tests are based on cumulative probabilities of the probability density function and evaluate…

Statistics Theory · Mathematics 2021-09-13 Stefan Böhringer , Dietmar Lohmann

Lowering the numerical precision of model parameters and computations is widely adopted to improve the efficiency of retrieval systems. However, when computing relevance scores between the query and documents in low-precision, we observe…

Information Retrieval · Computer Science 2026-04-14 Kisu Yang , Yoonna Jang , Hwanseok Jang , Kenneth Choi , Isabelle Augenstein , Heuiseok Lim

Pre-trained language models have contributed significantly to relation extraction by demonstrating remarkable few-shot learning abilities. However, prompt tuning methods for relation extraction may still fail to generalize to those rare or…

Computation and Language · Computer Science 2023-09-20 Xiang Chen , Lei Li , Ningyu Zhang , Chuanqi Tan , Fei Huang , Luo Si , Huajun Chen

Identifying leading measurement units from a large collection is a common inference task in various domains of large-scale inference. Testing approaches, which measure evidence against a null hypothesis rather than effect magnitude, tend to…

Methodology · Statistics 2020-11-17 Nicholas C. Henderson , Michael A. Newton

In information retrieval research, precision and recall have long been used to evaluate IR systems. However, given that a number of retrieval systems resembling one another are already available to the public, it is valuable to retrieve…

Computation and Language · Computer Science 2007-05-23 Atsushi Fujii , Tetsuya Ishikawa

A concept may reflect either a concrete or abstract idea. Given an input image, this paper seeks to retrieve other images that share its central concepts, capturing aspects of the underlying narrative. This goes beyond conventional…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Ori Nizan , Oren Shrout , Ayellet Tal
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