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Inversion of various inclusions, that characterize continuity in topological spaces, results in numerous variants of quotient and perfect maps. In the framework of convergences, the said inclusions are no longer equivalent, and each of them…

General Topology · Mathematics 2020-06-18 Szymon Dolecki

With the precipitous decline in response rates, researchers and pollsters have been left with highly non-representative samples, relying on constructed weights to make these samples representative of the desired target population. Though…

Methodology · Statistics 2024-03-05 Erin Hartman , Chad Hazlett , Ciara Sterbenz

Recently, machine learning potentials (MLP) largely enhances the reliability of molecular dynamics, but its accuracy is limited by the underlying $\textit{ab initio}$ methods. A viable approach to overcome this limitation is to refine the…

Chemical Physics · Physics 2024-06-28 Bin Han , Kuang Yu

To improve model generalization, model designers often restrict the features that their models use, either implicitly or explicitly. In this work, we explore the design space of leveraging such feature priors by viewing them as distinct…

Machine Learning · Computer Science 2022-07-18 Saachi Jain , Dimitris Tsipras , Aleksander Madry

In the design of efficient simulation algorithms, one is often beset with a poor choice of proposal distributions. Although the performance of a given simulation kernel can clarify a posteriori how adequate this kernel is for the problem at…

Statistics Theory · Mathematics 2010-10-11 R. Douc , A. Guillin , J. -M. Marin , C. P. Robert

In complex systems, feedback loops can build intricate emergent phenomena, so that a description of the whole system cannot be easily derived from the properties of the individual parts. Here we propose that inter-molecular frustration…

Molecular Networks · Quantitative Biology 2011-09-26 Andre M. Lindo , Bruno F. Faria , Fernao V. de Abreu

The quantified constraint satisfaction problem (QCSP) is a powerful framework for modelling computational problems. The general intractability of the QCSP has motivated the pursuit of restricted cases that avoid its maximal complexity. In…

Computational Complexity · Computer Science 2007-05-23 Hubie Chen

Numerical approaches to the correlated electron problem have achieved considerable success, yet are still constrained by several bottlenecks, including high order polynomial or exponential scaling in system size, long autocorrelation times,…

Strongly Correlated Electrons · Physics 2022-12-14 S. Johnston , E. Khatami , R. T. Scalettar

Conducting research often involves managing multiple disconnected tools for survey design, data collection, response analysis, and report generation, leading to inefficiencies, increased error risks, and challenges in ensuring…

Computation · Statistics 2025-08-11 Clievins Selva

We developed a phase correction method for broadband terahertz time-domain spectroscopy in reflection geometry, which allows us to obtain quantitative and accurate values for the complex refractive index of materials. The process is…

We consider the problem of improving kernel approximation via randomized feature maps. These maps arise as Monte Carlo approximation to integral representations of kernel functions and scale up kernel methods for larger datasets. Based on…

Machine Learning · Computer Science 2018-10-31 Marina Munkhoeva , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

We recount recent history behind building compact models of nonlinear, complex processes and identifying their relevant macroscopic patterns or "macrostates". We give a synopsis of computational mechanics, predictive rate-distortion theory,…

Statistical Mechanics · Physics 2014-12-31 James P. Crutchfield , Ryan G. James , Sarah Marzen , Dowman P. Varn

Microplastics (MPs) are ubiquitous in all ecosystems, affecting wildlife and, ultimately, human health. The complexity of natural samples plus the unspecificity of their treatments to isolate polymers renders the characterization of…

Instrumentation and Detectors · Physics 2025-04-01 Adrian Lopez-Rosales , Jose Andrade , Borja Ferreiro , Soledad Muniategui

Molecular Property Prediction (MPP) is vital for drug discovery, crop protection, and environmental science. Over the last decades, diverse computational techniques have been developed, from using simple physical and chemical properties and…

Machine Learning · Computer Science 2024-04-08 Afnan Sultan , Jochen Sieg , Miriam Mathea , Andrea Volkamer

Evaluating modern ML models is hard. The strong incentive for researchers and companies to report a state-of-the-art result on some metric often leads to questionable research practices (QRPs): bad practices which fall short of outright…

Machine Learning · Computer Science 2024-10-31 Gavin Leech , Juan J. Vazquez , Niclas Kupper , Misha Yagudin , Laurence Aitchison

Powder X-ray diffraction (pXRD) experiments are a cornerstone for materials structure characterization. Despite their widespread application, analyzing pXRD diffractograms still presents a significant challenge to automation and a…

Coreference resolution is essential for natural language understanding and has been long studied in NLP. In recent years, as the format of Question Answering (QA) became a standard for machine reading comprehension (MRC), there have been…

Computation and Language · Computer Science 2021-06-10 Mingzhu Wu , Nafise Sadat Moosavi , Dan Roth , Iryna Gurevych

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…

Reliable evaluation protocols are of utmost importance for reproducible NLP research. In this work, we show that sometimes neither metric nor conventional human evaluation is sufficient to draw conclusions about system performance. Using…

Computation and Language · Computer Science 2021-01-25 Yevgeniy Puzikov

Explicit rate of convergence in variance (or more general entropies) is obtained for a class of Piecewise Deterministic Markov Processes such as the TCP process, relying on functional inequalities. A method to establish Poincar\'e (and more…

Probability · Mathematics 2015-09-14 Pierre Monmarché