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We propose a method to probe the local density of states (LDOS) of atomic systems that provides both spatial and energy resolution. The method combines atomic and tunneling techniques to supply a simple, yet quantitative and operational,…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Daniel Gruss , Chih-Chun Chien , Julio Barreiro , Massimiliano Di Ventra , Michael Zwolak

We present a new use of Answer Set Programming (ASP) to discover the molecular structure of chemical samples based on the relative abundance of elements and structural fragments, as measured in mass spectrometry. To constrain the…

Logic in Computer Science · Computer Science 2026-02-25 Nils Küchenmeister , Alex Ivliev , Markus Krötzsch

Super-symmetric tensors - a higher-order extension of scatter matrices - are becoming increasingly popular in machine learning and computer vision for modelling data statistics, co-occurrences, or even as visual descriptors. However, the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 Piotr Koniusz , Anoop Cherian

The delocalization error of popular density functional approximations (DFAs) leads to diversified problems in present-day density functional theory calculations. For achieving a universal elimination of delocalization error, we develop a…

Chemical Physics · Physics 2017-09-07 Chen Li , Xiao Zheng , Neil Qiang Su , Weitao Yang

Cancer is one of the most challenging diseases because of its complexity, variability, and diversity of causes. It has been one of the major research topics over the past decades, yet it is still poorly understood. To this end, multifaceted…

Quantitative Methods · Quantitative Biology 2022-12-22 Ehtisham Fazal , Muhammad Sohail Ibrahim , Seongyong Park , Imran Naseem , Abdul Wahab

The most common statistic used to analyze large-scale structure surveys is the correlation function, or power spectrum. Here, we show how `slicing' the correlation function on local density brings sensitivity to interesting non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-15 Mark C. Neyrinck , István Szapudi , Nuala McCullagh , Alex Szalay , Bridget Falck , Jie Wang

Our aim was to generalize some theorems about the saturation of ultra-powers to reduced powers. Naturally, we deal via saturation for types consisting of atomic formulas. We succeed to generalize the theory of dense linear is maximal and so…

Logic · Mathematics 2023-08-24 Saharon Shelah

Compressive Sensing (CS) has been applied successfully in a wide variety of applications in recent years, including photography, shortwave infrared cameras, optical system research, facial recognition, MRI, etc. In wireless sensor networks…

Networking and Internet Architecture · Computer Science 2013-11-20 Xi Xu , Rashid Ansari , Ashfaq Khokhar

We apply a number of atomic decomposition schemes across the standard QM7 dataset -- a small model set of organic molecules at equilibrium geometry -- to inspect the possible emergence of trends among contributions to atomization energies…

Chemical Physics · Physics 2023-04-19 Frederik Ø. Kjeldal , Janus J. Eriksen

Atom probe tomography (APT) is a powerful microscopy technique to characterize nano-sized clusters of the alloying elements in the bulk of reactor pressure vessel (RPV) steels. These clusters are known to dominantly determine the evolution…

Materials Science · Physics 2024-06-06 N. Castin , P. Klups , M. Konstantinovic , G. Bonny , M. I. Pascuet , M. Moody , L. Malerba

Recent advancements in Artificial Neural Networks have significantly improved human activity recognition using multiple time-series sensors. While employing numerous sensors with high-frequency sampling rates usually improves the results,…

Signal Processing · Electrical Eng. & Systems 2024-10-11 Mengxi Liu , Zimin Zhao , Daniel Geißler , Bo Zhou , Sungho Suh , Paul Lukowicz

Machine learning can reveal new insights into X-ray spectroscopy of liquids when the local atomistic environment is presented to the model in a suitable way. Many unique structural descriptor families have been developed for this purpose.…

Chemical Physics · Physics 2024-08-26 E. A. Eronen , A. Vladyka , Ch. J. Sahle , J. Niskanen

$ $Future surveys could obtain tighter constraints on the cosmological parameters with the galaxy power spectrum than with the Cosmic Microwave Background. However, the inclusion of multiple overlapping tracers, redshift bins, and more…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Yan Lai , Cullan Howlett , Tamara M. Davis

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

Compressed sensing is a method that allows a significant reduction in the number of samples required for accurate measurements in many applications in experimental sciences and engineering. In this work, we show that compressed sensing can…

Chemical Physics · Physics 2015-06-05 X. Andrade , J. N. Sanders , A. Aspuru-Guzik

We present a new interatomic potential for solids and liquids called Spectral Neighbor Analysis Potential (SNAP). The SNAP potential has a very general form and uses machine-learning techniques to reproduce the energies, forces, and stress…

Estimating many local expectation values over time is a central measurement bottleneck in quantum simulation and device characterization. We study the task of reconstructing the Pauli-signal matrix $S_{ij}=\text{Tr}(O_i \rho(t_j))$ for a…

Quantum Physics · Physics 2026-02-16 Joseph Barreto , Daniel Lidar

A set of molecular descriptors whose length is independent of molecular size is developed for machine learning models that target thermodynamic and electronic properties of molecules. These features are evaluated by monitoring performance…

We study sparse principal component analysis in the high-dimensional, sample-limited regime, aiming to recover a leading component supported on a few coordinates. Despite extensive progress, most methods and analyses are tailored to the…

Information Theory · Computer Science 2025-12-18 Mengchu Xu , Jian Wang , Yonina C. Eldar
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