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There is a fundamental limitation in the prediction performance that a machine learning model can achieve due to the inevitable uncertainty of the prediction target. In classification problems, this can be characterized by the Bayes error,…

Machine Learning · Computer Science 2023-03-14 Takashi Ishida , Ikko Yamane , Nontawat Charoenphakdee , Gang Niu , Masashi Sugiyama

Information on natural phenomena and engineering systems is typically contained in data. Data can be corrupted by systematic errors in models and experiments. In this paper, we propose a tool to uncover the spatiotemporal solution of the…

Fluid Dynamics · Physics 2023-06-21 Daniel Kelshaw , Luca Magri

Type Ia Supernovae (SNe Ia) are considered the most reliable \textit{standard candles} and they have played an invaluable role in cosmology since the discovery of the Universe's accelerated expansion. During the last decades, the SNe Ia…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-12 Maria Giovanna Dainotti , Giada Bargiacchi , Malgorzata Bogdan , Salvatore Capozziello , Shigehiro Nagataki

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

Methodology · Statistics 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

As AI becomes prevalent in high-risk domains and decision-making, it is essential to test for potential harms and biases. This urgency is reflected by the global emergence of AI regulations that emphasise fairness and adequate testing, with…

Machine Learning · Computer Science 2025-07-25 Varsha Ramineni , Hossein A. Rahmani , Emine Yilmaz , David Barber

This paper proposes an online, provably robust, and scalable Bayesian approach for changepoint detection. The resulting algorithm has key advantages over previous work: it provides provable robustness by leveraging the generalised Bayesian…

Machine Learning · Statistics 2023-05-15 Matias Altamirano , François-Xavier Briol , Jeremias Knoblauch

Standard evaluations of Bayesian deep learning methods assume that metric estimates are reliable, but we show this assumption fails under data scarcity. Method rankings are not only unreliable at small $n$, but also dataset-dependent in…

Machine Learning · Computer Science 2026-04-28 Qishi Zhan , Minxuan Hu , Guansu Wang , Jiaxin Liu , Liang He

The existence of multiple subclasses of type Ia supernovae (SNeIa) has been the subject of great debate in the last decade. One major challenge inevitably met when trying to infer the existence of one or more subclasses is the time…

Systematic error, which is not determined by chance, often refers to the inaccuracy (involving either the observation or measurement process) inherent to a system. In this paper, we exhibit some long-neglected but frequent-happening…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Yan Wang , Yuhang Li , Ruihao Gong

Bayesian optimization is used in many areas of AI for the optimization of black-box processes and has achieved impressive improvements of the state of the art for a lot of applications. It intelligently explores large and complex design…

Materials Science · Physics 2021-08-03 Lars Kotthoff , Hud Wahab , Patrick Johnson

Causal inference is made challenging by confounding, selection bias, and other complications. A common approach to addressing these difficulties is the inclusion of auxiliary data on the superpopulation of interest. Such data may measure a…

Methodology · Statistics 2024-04-16 Jaron J. R. Lee , AmirEmad Ghassami , Ilya Shpitser

Data-driven risk analysis involves the inference of probability distributions from measured or simulated data. In the case of a highly reliable system, such as the electricity grid, the amount of relevant data is often exceedingly limited,…

Methodology · Statistics 2017-07-11 Simon H. Tindemans , Goran Strbac

The Supernova Legacy Survey (SNLS) has produced a high-quality, homogeneous sample of Type Ia supernovae (SNe Ia) out to redshifts greater than z=1. In its first four years of full operation (to June 2007), the SNLS discovered more than…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 K. Perrett , D. Balam , M. Sullivan , C. Pritchet , A. Conley , R. Carlberg , P. Astier , C. Balland , S. Basa , D. Fouchez , J. Guy , D. Hardin , I. M. Hook , D. A. Howell , R. Pain , N. Regnault

The observation of strongly lensed Type Ia supernovae enables both the luminosity and angular diameter distance to a source to be measured simultaneously using a single observation. This feature can be used to measure the distance duality…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-03 Fabrizio Renzi , Natalie B. Hogg , Matteo Martinelli , Savvas Nesseris

In this third paper of a series on radio weak lensing for cosmology with the Square Kilometre Array, we scrutinise synergies between cosmic shear measurements in the radio and optical/near-IR bands for mitigating systematic effects. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Stefano Camera , Ian Harrison , Anna Bonaldi , Michael L. Brown

We report non-zero weak lensing convergence correlation signal of Type-Ia supernovae from 5-year Supernovae Legacy Survey data. For our analysis we utilize 296 supernovae magnification data from 5-year SNLS in the weak lensing limit. The…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-19 Ayan Mitra , Arnab Paul , Barun Pal , Supratik Pal

Bayesian optimisation is a popular method for efficient optimisation of expensive black-box functions. Traditionally, BO assumes that the search space is known. However, in many problems, this assumption does not hold. To this end, we…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Huong Ha , Svetha Venkatesh

Correctly interpreting observations of sources such as type Ia supernovae (SNe Ia) require knowledge of the power spectrum of matter on AU scales - which is very hard to model accurately. Because under-dense regions account for much of the…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-22 V. C. Busti , R. F. L. Holanda , C. Clarkson

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

Methodology · Statistics 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

The determination of distances using time-series photometry of Type Ia supernovae (SNe Ia) relies on a ~5% empirical correction related to the properties of their host galaxies, e.g., global stellar mass. It is therefore crucial for…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Taylor J. Hoyt , David Rubin , Greg Aldering , Saul Perlmutter , Andrei Cuceu , Ravi Gupta
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