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The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

系统与控制 · 电气工程与系统科学 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

Probabilistic machine learning enabled by the Bayesian formulation has recently gained significant attention in the domain of automated reasoning and decision-making. While impressive strides have been made recently to scale up the…

新兴技术 · 计算机科学 2020-04-22 Kezhou Yang , Akul Malhotra , Sen Lu , Abhronil Sengupta

We present a Bayesian Neural Radiance Field (NeRF), which explicitly quantifies uncertainty in the volume density by modeling uncertainty in the occupancy, without the need for additional networks, making it particularly suited for…

计算机视觉与模式识别 · 计算机科学 2025-01-03 Sibeak Lee , Kyeongsu Kang , Seongbo Ha , Hyeonwoo Yu

Bayesian inference is a widely used technique for real-time characterization of quantum systems. It excels in experimental characterization in the low data regime, and when the measurements have degrees of freedom. A decisive factor for its…

量子物理 · 物理学 2025-07-10 Alexandra Ramôa , Raffaele Santagati , Nathan Wiebe

We provide a method for approximating Bayesian inference using rejection sampling. We not only make the process efficient, but also dramatically reduce the memory required relative to conventional methods by combining rejection sampling…

机器学习 · 计算机科学 2015-12-04 Nathan Wiebe , Christopher Granade , Ashish Kapoor , Krysta M Svore

In recent years, researchers in decision analysis and artificial intelligence (AI) have used Bayesian belief networks to build models of expert opinion. Using standard methods drawn from the theory of computational complexity, workers in…

人工智能 · 计算机科学 2013-04-05 R. Martin Chavez , Gregory F. Cooper

New schemes that exploit the unique properties of Nitrogen-Vacancy (NV) centers in diamond are presently being explored as a platform for high-resolution magnetic sensing. Here we focus on the ability of a NV center to monitor an adjacent…

介观与纳米尺度物理 · 物理学 2011-10-12 Abdelghani Laraoui , Jonathan S. Hodges , Colm Ryan , Carlos A. Meriles

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

广义相对论与量子宇宙学 · 物理学 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

This work focuses on improving uncertainty estimation in the field of object classification from RGB images and demonstrates its benefits in two robotic applications. We employ a (BNN), and evaluate two practical inference techniques to…

This paper deals with the robust estimation problem of a signal given noisy observations. We assume that the actual statistics of the signal and observations belong to a ball about the nominal statistics. This ball is formed by placing a…

最优化与控制 · 数学 2017-05-02 Mattia Zorzi

This study explores hardware implementation of Robust Amplitude Estimation (RAE) on IBM quantum devices, demonstrating its application in quantum chemistry for one- and two-qubit Hamiltonian systems. Known for potentially offering quadratic…

In Bayesian optimization, accounting for the importance of the output relative to the input is a crucial yet challenging exercise, as it can considerably improve the final result but often involves inaccurate and cumbersome entropy…

机器学习 · 计算机科学 2020-12-30 Antoine Blanchard , Themistoklis Sapsis

Parametric stochastic simulators are ubiquitous in science, often featuring high-dimensional input parameters and/or an intractable likelihood. Performing Bayesian parameter inference in this context can be challenging. We present a neural…

机器学习 · 统计学 2021-10-27 Benjamin Kurt Miller , Alex Cole , Patrick Forré , Gilles Louppe , Christoph Weniger

The next generation of cosmological surveys is expected to generate unprecedented high-quality data, consequently increasing the already substantial computational costs of Bayesian statistical methods. This will pose a significant challenge…

宇宙学与河外天体物理 · 物理学 2024-03-22 Evan Saraivanov , Kunhao Zhong , Vivian Miranda , Supranta S. Boruah , Tim Eifler , Elisabeth Krause

The nitrogen-vacancy (NV) center in diamond is a solid-state spin defect that has been widely adopted for quantum sensing and quantum information processing applications. Typically, experiments are performed either with a single isolated NV…

量子物理 · 物理学 2025-03-19 Matthew Cambria , Saroj Chand , Caitlin Reiter , Shimon Kolkowitz

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

统计方法学 · 统计学 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

We study the problem of estimating the mode and maximum of an unknown regression function in the presence of noise. We adopt the Bayesian approach by using tensor-product B-splines and endowing the coefficients with Gaussian priors. In the…

统计理论 · 数学 2018-03-16 William Weimin Yoo , Subhashis Ghosal

Sensors based on single spins can enable magnetic field detection with very high sensitivity and spatial resolution. Previous work has concentrated on sensing of a constant magnetic field or a periodic signal. Here, we instead investigate…

量子物理 · 物理学 2017-06-01 Cristian Bonato , Dominic W. Berry

Solid state spins in diamond, in particular negatively charged nitrogen-vacancy centers (NV), are leading contenders in the field of quantum sensing. While addressing of single NVs offers nanoscale spatial resolution, many implementations…

量子物理 · 物理学 2023-01-11 Yuchun Zhu , Elena Losero , Christophe Galland , Valentin Goblot

In non-linear estimations, it is common to assess sampling uncertainty by bootstrap inference. For complex models, this can be computationally intensive. This paper combines optimization with resampling: turning stochastic optimization into…

计量经济学 · 经济学 2022-05-09 Jean-Jacques Forneron