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Inverse analysis, such as model calibration, often suffers from a lack of informative data in complex real-world scenarios. The standard remedy, designing new experimental setups, is often costly and time-consuming, while readily available…

Computational Engineering, Finance, and Science · Computer Science 2026-01-16 Lea J. Haeusel , Jonas Nitzler , Lea J. Köglmeier , Wolfgang A. Wall

One of the well-known challenges in optimal experimental design is how to efficiently estimate the nested integrations of the expected information gain. The Gaussian approximation and associated importance sampling have been shown to be…

Computation · Statistics 2021-08-17 Quan Long

Using multiple ion beam analysis measurements, or techniques, combined with self-consistent data processing, generally allows extracting more (or more accurate) information from the measurements than processing separately data from single…

Data Analysis, Statistics and Probability · Physics 2022-11-23 Tiago F. Silva , Cleber L. Rodrigues , Manfredo H. Tabacniks , Udo von Toussaint , Matej Mayer

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

Graph-structured data is a type of data to be obtained associated with a graph structure where vertices and edges describe some kind of data correlation. This paper proposes a regression method on graph-structured data, which is based on…

Machine Learning · Computer Science 2025-05-23 Ayano Nakai-Kasai , Tadashi Wadayama

Many information sources are considered into data fusion in order to improve the decision in terms of uncertainty and imprecision. For each technique used for data fusion, the asumption on independance is usually made. We propose in this…

Artificial Intelligence · Computer Science 2015-01-23 Mouloud Kharoune , Arnaud Martin

We present an overview of information theory approach (both in its extensive and nonextensive versions) applied to high energy multiparticle production processes. It will be illustrated by analysis of single particle distributions measured…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We present a unified view of likelihood based Gaussian progress regression for simulation experiments exhibiting input-dependent noise. Replication plays an important role in that context, however previous methods leveraging replicates have…

Methodology · Statistics 2019-01-18 Mickael Binois , Robert B. Gramacy , Michael Ludkovski

Efficient information processing is crucial for both living organisms and engineered systems. The mutual information rate, a core concept of information theory, quantifies the amount of information shared between the trajectories of input…

Molecular Networks · Quantitative Biology 2025-09-01 Manuel Reinhardt , Age J. Tjalma , Anne-Lena Moor , Christoph Zechner , Pieter Rein ten Wolde

Fine-tuning pre-trained language models has become the prevalent paradigm for building downstream NLP models. Oftentimes fine-tuned models are readily available but their training data is not, due to data privacy or intellectual property…

Computation and Language · Computer Science 2025-05-23 Xisen Jin , Xiang Ren , Daniel Preotiuc-Pietro , Pengxiang Cheng

We discuss the correspondence between Gaussian process regression and Geometric Harmonics, two similar kernel-based methods that are typically used in different contexts. Research communities surrounding the two concepts often pursue…

Machine Learning · Statistics 2021-10-07 Felix Dietrich , Juan M. Bello-Rivas , Ioannis G. Kevrekidis

Gaussian processes are a powerful framework for uncertainty-aware function approximation and sequential decision-making. Unfortunately, their classical formulation does not scale gracefully to large amounts of data and modern hardware for…

Machine Learning · Computer Science 2025-07-10 Jihao Andreas Lin

Advanced image fusion methods are devoted to generating the fusion results by aggregating the complementary information conveyed by the source images. However, the difference in the source-specific manifestation of the imaged scene content…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Chunyang Cheng , Tianyang Xu , Xiao-Jun Wu , Hui Li , Xi Li , Zhangyong Tang , Josef Kittler

The characteristics of feature selection, nonlinear combination and multi-task auxiliary learning mechanism of the human visual perception system play an important role in real-world scenarios, but the research of image fusion theory based…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Aiqing Fang , Xinbo Zhao , Jiaqi Yang , Yanning Zhang

This paper presents a method for Bayesian multi-robot peer-to-peer data fusion where any pair of autonomous robots hold non-identical, but overlapping parts of a global joint probability distribution, representing real world inference tasks…

Robotics · Computer Science 2023-03-07 Ofer Dagan , Nisar R. Ahmed

Image fusion is to reduce uncertainty and minimize redundancy in the output while maximizing relevant information from two or more images of a scene into a single composite image that is more informative and is more suitable for visual…

Computer Vision and Pattern Recognition · Computer Science 2013-11-07 Srinivasa Rao Dammavalam , Seetha Maddala , M. H. M. Krishna Prasad

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

Machine Learning · Statistics 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

This paper addresses the integration of additional information sources into a Bayesian optimization framework while ensuring that safety constraints are satisfied. The interdependencies between these information sources are modeled using an…

Machine Learning · Computer Science 2025-05-06 Jannis O. Luebsen , Annika Eichler

In biomanufacturing, developing an accurate model to simulate the complex dynamics of bioprocesses is an important yet challenging task. This is partially due to the uncertainty associated with bioprocesses, high data acquisition cost, and…

Machine Learning · Computer Science 2022-11-29 Yuan Sun , Winton Nathan-Roberts , Tien Dung Pham , Ellen Otte , Uwe Aickelin

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

Methodology · Statistics 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith
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