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Automated rock classification from mineral composition presents a significant challenge in geological applications, with critical implications for material recycling, resource management, and industrial processing. While existing methods…

Computational Engineering, Finance, and Science · Computer Science 2025-10-17 Iye Szin Ang , Martin Johannes Findl , Elisabeth Hauzinger , Klaus Philipp Sedlazeck , Jyrki Savolainen , Ronald Bakker , Robert Galler , Elmar Rueckert

General predictive models do not provide a measure of confidence in predictions without Bayesian assumptions. A way to circumvent potential restrictions is to use conformal methods for constructing non-parametric confidence regions, that…

Machine Learning · Statistics 2016-09-21 Evgeny Burnaev , Ivan Nazarov

Decision forests are widely used for classification and regression tasks. A lesser known property of tree-based methods is that one can construct a proximity matrix from the tree(s), and these proximity matrices are induced kernels. While…

Machine Learning · Statistics 2024-10-14 Sambit Panda , Cencheng Shen , Joshua T. Vogelstein

As quantum computers become increasingly practical, so does the prospect of using quantum computation to improve upon traditional algorithms. Kernel methods in machine learning is one area where such improvements could be realized in the…

Quantum Physics · Physics 2023-05-30 Ara Ghukasyan , Jack S. Baker , Oktay Goktas , Juan Carrasquilla , Santosh Kumar Radha

Accurate crystal structure determination is critical across all scientific disciplines involving crystalline materials. However, solving and refining inorganic crystal structures from powder X-ray diffraction (PXRD) data is traditionally a…

Materials Science · Physics 2024-09-10 Qi Li , Rui Jiao , Liming Wu , Tiannian Zhu , Wenbing Huang , Shifeng Jin , Yang Liu , Hongming Weng , Xiaolong Chen

When searching for novel inorganic materials, limiting the combination of constituent elements can greatly improve the search efficiency. In this study, we used machine learning to predict elemental combinations with high reactivity for…

Materials Science · Physics 2025-04-30 Yuki Inada , Masaya Fujioka , Haruhiko Morito , Tohru Sugahara , Hisanori Yamane , Yukari Katsura

Understanding how atmospheric molecular clusters form and grow is key to resolving one of the biggest uncertainties in climate modelling: the formation of new aerosol particles. While quantum chemistry offers accurate insights into these…

Machine Learning · Computer Science 2025-09-16 Lauri Seppäläinen , Jakub Kubečka , Jonas Elm , Kai Puolamäki

Many machine learning problems can be formulated as predicting labels for a pair of objects. Problems of that kind are often referred to as pairwise learning, dyadic prediction or network inference problems. During the last decade kernel…

Machine Learning · Statistics 2018-03-06 Michiel Stock , Tapio Pahikkala , Antti Airola , Bernard De Baets , Willem Waegeman

The use of kernel functions is a common technique to extract important features from data sets. A quantum computer can be used to estimate kernel entries as transition amplitudes of unitary circuits. Quantum kernels exist that, subject to…

Scanning probe experiments such as scanning tunneling microscopy (STM) and atomic force microscopy (AFM) on strongly correlated electronic systems often reveal complex pattern formation on multiple length scales. By studying the universal…

Strongly Correlated Electrons · Physics 2019-04-03 L. Burzawa , Shuo Liu , E. W. Carlson

Crystal-structure phase mapping is a core, long-standing challenge in materials science that requires identifying crystal structures, or mixtures thereof, in synthesized materials. Materials science experts excel at solving simple systems…

Recent studies in Learning to Rank have shown the possibility to effectively distill a neural network from an ensemble of regression trees. This result leads neural networks to become a natural competitor of tree-based ensembles on the…

Machine Learning · Computer Science 2024-10-28 F. M. Nardini , C. Rulli , S. Trani , R. Venturini

An outstanding challenge in chemical computation is the many-electron problem where computational methodologies scale prohibitively with system size. The energy of any molecule can be expressed as a weighted sum of the energies of…

Chemical Physics · Physics 2023-01-03 LeeAnn M. Sager-Smith , David A. Mazziotti

In order to make accurate predictions of material properties, current machine-learning approaches generally require large amounts of data, which are often not available in practice. In this work, an all-round framework is presented which…

Materials Science · Physics 2021-07-09 Pierre-Paul De Breuck , Geoffroy Hautier , Gian-Marco Rignanese

Modern approaches to the search of Relative and Global minima of potential energy function of Biomacromolecular structures include techniques of combinatorial optimization like the study of Steiner Points and Steiner Trees. These methods…

Mathematical Physics · Physics 2007-05-23 R. P. Mondaini

The kernel trick is a widely applicable technique in machine learning domains that maps datasets that are difficult to classify into a computationally friendly feature space. As the dimension of the dataset scales, these kernel calculations…

Quantum Physics · Physics 2025-12-15 Collin C. D. Frink , Chaoyang Ti , Stephen K. Gray , Xu Han , Matthew Otten

One central theme in machine learning is function estimation from sparse and noisy data. An example is supervised learning where the elements of the training set are couples, each containing an input location and an output response. In the…

Machine Learning · Computer Science 2023-10-05 Alberto Giaretta , Mauro Bisiacco , Gianluigi Pillonetto

Traditional materials discovery approaches - relying primarily on laborious experiments - have controlled the pace of technology. Instead, computational approaches offer an accelerated path: high-throughput exploration and characterization…

Materials Science · Physics 2018-11-23 Corey Oses

Kernel methods are used extensively in classical machine learning, especially in the field of pattern analysis. In this paper, we propose a kernel-based quantum machine learning algorithm that can be implemented on a near-term, intermediate…

Quantum Physics · Physics 2019-06-11 Roohollah Ghobadi , Jaspreet S. Oberoi , Ehsan Zahedinejhad

In chemical processing and bioprocessing, conventional online sensors are limited to measure only basic process variables like pressure and temperature, pH, dissolved O and CO$_2$ and viable cell density (VCD). The concentration of other…

Quantitative Methods · Quantitative Biology 2020-05-07 Semion Rozov
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