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We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

机器学习 · 计算机科学 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

A cardinal obstacle to performing quantum-mechanical simulations of strongly-correlated matter is that, with the theoretical tools presently available, sufficiently-accurate computations are often too expensive to be ever feasible. Here we…

We study the problem of clustering sequences of unlabeled point sets taken from a common metric space. Such scenarios arise naturally in applications where a system or process is observed in distinct time intervals, such as biological…

数据结构与算法 · 计算机科学 2017-10-17 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

We propose a deep amortized clustering (DAC), a neural architecture which learns to cluster datasets efficiently using a few forward passes. DAC implicitly learns what makes a cluster, how to group data points into clusters, and how to…

机器学习 · 计算机科学 2019-10-01 Juho Lee , Yoonho Lee , Yee Whye Teh

Automated fact-checking based on machine learning is a promising approach to identify false information distributed on the web. In order to achieve satisfactory performance, machine learning methods require a large corpus with reliable…

计算与语言 · 计算机科学 2019-11-05 Andreas Hanselowski , Christian Stab , Claudia Schulz , Zile Li , Iryna Gurevych

Purpose: Machine learning is broadly used for clinical data analysis. Before training a model, a machine learning algorithm must be selected. Also, the values of one or more model parameters termed hyper-parameters must be set. Selecting…

机器学习 · 计算机科学 2018-12-10 Xueqiang Zeng , Gang Luo

A Greek weight associated to a parameterized random variable $Z(\lambda)$ is a random variable $\pi$ such that $\nabla_{\lambda}E[\phi(Z(\lambda))]=E[\phi(Z(\lambda))\pi]$ for any function $\phi$. The importance of the set of Greek weights…

概率论 · 数学 2007-10-25 Romuald Elie , Jean-David Fermanian , Nizar Touzi

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

机器学习 · 计算机科学 2026-05-26 Agustinus Kristiadi

Ongoing efforts that span over decades show a rise of AI methods for accelerating scientific discovery, yet accelerating discovery in mathematics remains a persistent challenge for AI. Specifically, AI methods were not effective in creation…

人工智能 · 计算机科学 2026-01-30 Michael Shalyt , Uri Seligmann , Itay Beit Halachmi , Ofir David , Rotem Elimelech , Ido Kaminer

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

形式语言与自动机理论 · 计算机科学 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

The estimation of modal parameters from a set of noisy measured data is a highly judgmental task, with user expertise playing a significant role in distinguishing between estimated physical and noise modes of a test-piece. Various methods…

应用统计 · 统计学 2017-09-13 Vahid Yaghoubi , Majid K. Vakilzadeh , Thomas J. S. Abrahamsson

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

统计方法学 · 统计学 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Bayesian mechanics is a new approach to studying the mathematics and physics of interacting stochastic processes. Here, we provide a worked example of a physical mechanics for classical objects, which derives from a simple application…

经典物理 · 物理学 2023-03-28 Dalton A R Sakthivadivel

This paper presents a systematic literature review focusing on the application of machine learning techniques for deriving observational constraints in cosmology. The goal is to evaluate and synthesize existing research to identify…

宇宙学与河外天体物理 · 物理学 2025-10-14 Luis Rojas , Sebastián Espinoza , Esteban González , Carlos Maldonado , Fei Luo

Clustering is a fundamental machine learning task which has been widely studied in the literature. Classic clustering methods follow the assumption that data are represented as features in a vectorized form through various representation…

机器学习 · 计算机科学 2022-06-16 Sheng Zhou , Hongjia Xu , Zhuonan Zheng , Jiawei Chen , Zhao li , Jiajun Bu , Jia Wu , Xin Wang , Wenwu Zhu , Martin Ester

Classical Shadow Tomography (Huang, Kueng and Preskill, Nature Physics 2020) is a method for creating a classical snapshot of an unknown quantum state, which can later be used to predict the value of an a-priori unknown observable on that…

量子物理 · 物理学 2025-07-15 Zvika Brakerski , Nir Magrafta , Tomer Solomon

Automatic grading is not a new approach but the need to adapt the latest technology to automatic grading has become very important. As the technology has rapidly became more powerful on scoring exams and essays, especially from the 1990s…

计算与语言 · 计算机科学 2020-04-20 Neslihan Suzen , Alexander Gorban , Jeremy Levesley , Evgeny Mirkes

This paper explores artificial intelligence (AI) methods for the approximate compiling of unitaries, focusing on the use of fixed two-qubit gates and arbitrary single-qubit rotations typical in superconducting hardware. Our approach…

量子物理 · 物理学 2024-08-01 David Kremer , Victor Villar , Sanjay Vishwakarma , Ismael Faro , Juan Cruz-Benito

In industrial machine learning pipelines, data often arrive in parts. Particularly in the case of deep neural networks, it may be too expensive to train the model from scratch each time, so one would rather use a previously learned model…