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Approximate Bayesian computation (ABC) has become an essential tool for the analysis of complex stochastic models when the likelihood function is numerically unavailable. However, the well-established statistical method of empirical…

Computation · Statistics 2015-06-05 K. L. Mengersen , P. Pudlo , C. P. Robert

Density functional theory (DFT) serves as the basis for computational discovery in materials science and chemistry, yet each calculation demands extensive human effort: adjusting algorithms when convergence stalls, revising plans when…

Materials Science · Physics 2026-05-27 Penghui Yang , Zhonghan Zhang , Yue Li , Xinrun Wag , Yanchen Deng , Yuhao Lu , Bijun Tang , Zheng Liu , Bo An

In large-scale computation of physics problems, one often encounters the problem of determining a multi-dimensional function, which can be time-consuming when computing each point in this multi-dimensional space is already time-demanding.…

Quantum Gases · Physics 2020-03-11 Juan Yao , Yadong Wu , Jahyun Koo , Binghai Yan , Hui Zhai

Active learning in computer experiments aims at allocating resources in an intelligent manner based on the already observed data to satisfy certain objectives such as emulating or optimizing a computationally expensive function. There are…

Methodology · Statistics 2025-01-24 Difan Song , V. Roshan Joseph

A major challenge in modern reinforcement learning (RL) is efficient control of dynamical systems from high-dimensional sensory observations. Learning controllable embedding (LCE) is a promising approach that addresses this challenge by…

Machine Learning · Computer Science 2020-06-25 Brandon Cui , Yinlam Chow , Mohammad Ghavamzadeh

We propose Deep Asymmetric Multitask Feature Learning (Deep-AMTFL) which can learn deep representations shared across multiple tasks while effectively preventing negative transfer that may happen in the feature sharing process.…

Machine Learning · Computer Science 2018-07-03 Hae Beom Lee , Eunho Yang , Sung Ju Hwang

Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

Materials Science · Physics 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

Neural simulation-based inference is a powerful class of machine-learning-based methods for statistical inference that naturally handles high-dimensional parameter estimation without the need to bin data into low-dimensional summary…

Data Analysis, Statistics and Probability · Physics 2025-06-16 ATLAS Collaboration

Predicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provides a first-principles route to connect microscopic…

Computational Physics · Physics 2026-01-01 Edoardo Monti , Peter Yatsyshin , Konstantinos Gkagkas , Andrew B. Duncan

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Evan Saraivanov , Kunhao Zhong , Vivian Miranda , Supranta S. Boruah , Tim Eifler , Elisabeth Krause

Stochastic systems in biology often exhibit substantial variability within and between cells. This variability, as well as having dramatic functional consequences, provides information about the underlying details of the system's behaviour.…

Quantitative Methods · Quantitative Biology 2015-11-09 Iain G. Johnston

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…

Strongly Correlated Electrons · Physics 2021-02-10 John Rogers , Tsung-Han Lee , Sahar Pakdel , Wenhu Xu , Vladimir Dobrosavljević , Yong-Xin Yao , Ove Christiansen , Nicola Lanatà

Active learning (AL) is a prominent technique for reducing the annotation effort required for training machine learning models. Deep learning offers a solution for several essential obstacles to deploying AL in practice but introduces many…

Computation and Language · Computer Science 2022-05-10 Akim Tsvigun , Artem Shelmanov , Gleb Kuzmin , Leonid Sanochkin , Daniil Larionov , Gleb Gusev , Manvel Avetisian , Leonid Zhukov

Bayesian inference with stochastic models is often difficult because their likelihood functions involve high-dimensional integrals. Approximate Bayesian Computation (ABC) avoids evaluating the likelihood function and instead infers model…

Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of natural language processing and reasoning tasks. However, their performance in the foundational domain of arithmetic remains unsatisfactory. When…

Artificial Intelligence · Computer Science 2024-10-11 Junyu Lai , Jiahe Xu , Yao Yang , Yunpeng Huang , Chun Cao , Jingwei Xu

Numerical reasoning over text is a challenging task of Artificial Intelligence (AI), requiring reading comprehension and numerical reasoning abilities. Previous approaches use numerical reasoning programs to represent the reasoning process.…

Artificial Intelligence · Computer Science 2022-10-21 Jiaxin Zhang , Yashar Moshfeghi

How to accurately predict the properties of molecules is an essential problem in AI-driven drug discovery, which generally requires a large amount of annotation for training deep learning models. Annotating molecules, however, is quite…

Machine Learning · Computer Science 2022-05-24 Kuangqi Zhou , Kaixin Wang , Jiashi Feng , Jian Tang , Tingyang Xu , Xinchao Wang

Active learning (AL) has found wide applications in medical image segmentation, aiming to alleviate the annotation workload and enhance performance. Conventional uncertainty-based AL methods, such as entropy and Bayesian, often rely on an…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Siteng Ma , Haochang Wu , Aonghus Lawlor , Ruihai Dong

Active learning has been studied extensively as a method for efficient data collection. Among the many approaches in literature, Expected Error Reduction (EER) (Roy and McCallum) has been shown to be an effective method for active learning:…

Machine Learning · Computer Science 2022-11-18 Stephen Mussmann , Julia Reisler , Daniel Tsai , Ehsan Mousavi , Shayne O'Brien , Moises Goldszmidt

Reliable deep learning models require not only accurate predictions but also well-calibrated confidence estimates to ensure dependable uncertainty estimation. This is crucial in safety-critical applications like autonomous driving, which…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Hanieh Shojaei Miandashti , Qianqian Zou , Claus Brenner