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The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

化学物理 · 物理学 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

计算机视觉与模式识别 · 计算机科学 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

We identify a strong equivalence between neural network based machine learning (ML) methods and the formulation of statistical data assimilation (DA), known to be a problem in statistical physics. DA, as used widely in physical and…

机器学习 · 计算机科学 2017-10-23 H. D. I. Abarbanel , P. J. Rozdeba , S. Shirman

The generalization and learning speed of a multi-class neural network can often be significantly improved by using soft targets that are a weighted average of the hard targets and the uniform distribution over labels. Smoothing the labels…

机器学习 · 计算机科学 2020-06-12 Rafael Müller , Simon Kornblith , Geoffrey Hinton

Despite the fundamental progress in autonomous molecular and materials discovery, data scarcity throughout chemical compound space still severely hampers the use of modern ready-made machine learning models as they rely heavily on the…

化学物理 · 物理学 2023-11-30 Dominik Lemm , Guido Falk von Rudorff , O. Anatole von Lilienfeld

We leverage dimensional analysis and genetic programming (a type of machine learning) to discover two strikingly simple but universal scaling laws, which remain accurate for different materials, processing conditions, and machines in metal…

应用物理 · 物理学 2020-05-28 Zhengtao Gan , Orion L. Kafka , Niranjan Parab , Cang Zhao , Olle Heinonen , Tao Sun , Wing Liu

Generating confidence calibrated outputs is of utmost importance for the applications of deep neural networks in safety-critical decision-making systems. The output of a neural network is a probability distribution where the scores are…

机器学习 · 计算机科学 2021-09-17 Chihuang Liu , Joseph JaJa

The accuracy of any machine learning potential can only be as good as the data used in the fitting process. The most efficient model therefore selects the training data that will yield the highest accuracy compared to the cost of obtaining…

化学物理 · 物理学 2020-07-21 Anders S. Christensen , O. Anatole von Lilienfeld

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

Deep Metric Learning algorithms aim to learn an efficient embedding space to preserve the similarity relationships among the input data. Whilst these algorithms have achieved significant performance gains across a wide plethora of tasks,…

计算机视觉与模式识别 · 计算机科学 2022-09-15 Soumava Kumar Roy , Yan Han , Mehrtash Harandi , Lars Petersson

Distance Metric Learning (DML) seeks to learn a discriminative embedding where similar examples are closer, and dissimilar examples are apart. In this paper, we address the problem of Semi-Supervised DML (SSDML) that tries to learn a metric…

机器学习 · 计算机科学 2021-05-12 Ujjal Kr Dutta , Mehrtash Harandi , Chellu Chandra Sekhar

Analysis and processing of data is a vital part of our modern society and requires vast amounts of computational resources. To reduce the computational burden, compressing and approximating data has become a central topic. We consider the…

数值分析 · 数学 2026-03-17 Jürgen Dölz , Michael Multerer

Multi-label classification is an important learning problem with many applications. In this work, we propose a principled similarity-based approach for multi-label learning called SML. We also introduce a similarity-based approach for…

机器学习 · 统计学 2017-10-31 Ryan A. Rossi , Nesreen K. Ahmed , Hoda Eldardiry , Rong Zhou

Electron density is a fundamental quantity, which can in principle determine all ground state electronic properties of a given system. Although machine learning (ML) models for electron density based on either an atom-centered basis or a…

化学物理 · 物理学 2024-10-08 Chaoqiang Feng , Yaolong Zhang , Bin Jiang

Machine learning (ML) is often viewed as a black-box regression technique that is unable to provide considerable scientific insight. ML models are universal function approximators and - if used correctly - can provide scientific information…

Deep neural networks (DNNs) are capable of perfectly fitting the training data, including memorizing noisy data. It is commonly believed that memorization hurts generalization. Therefore, many recent works propose mitigation strategies to…

机器学习 · 统计学 2022-10-28 Carey E. Priebe , Ningyuan Huang , Soledad Villar , Cong Mu , Li Chen

Scaling laws have shaped recent advances in machine learning by enabling predictable scaling of model performance based on model size, computation, and data volume. Concurrently, the rise in computational cost for AI has motivated model…

The use of machine learning models in system identification has increased due to their ability to approximate complex nonlinear dynamics with high accuracy. However, often it is not clear how the performance of trained models scales with…

最优化与控制 · 数学 2026-03-26 Marco Roschkowski , Karim Cherifi , Hannes Gernandt

Active learning is commonly used to train label-efficient models by adaptively selecting the most informative queries. However, most active learning strategies are designed to either learn a representation of the data (e.g., embedding or…

机器学习 · 计算机科学 2022-02-07 Namrata Nadagouda , Austin Xu , Mark A. Davenport

This paper discusses and evaluates ideas of data balancing and data augmentation in the context of mathematical objects: an important topic for both the symbolic computation and satisfiability checking communities, when they are making use…

符号计算 · 计算机科学 2023-08-21 Tereso del Rio , Matthew England
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