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Standard sparse pseudo-input approximations to the Gaussian process (GP) cannot handle complex functions well. Sparse spectrum alternatives attempt to answer this but are known to over-fit. We suggest the use of variational inference for…

机器学习 · 统计学 2015-03-23 Yarin Gal , Richard Turner

Solving tough clinical questions that require both image and text understanding is still a major challenge in healthcare AI. In this work, we propose Q-FSRU, a new model that combines Frequency Spectrum Representation and Fusion (FSRU) with…

计算机视觉与模式识别 · 计算机科学 2025-08-19 Rakesh Thakur , Yusra Tariq

Generalized Additive Models (GAMs) balance predictive accuracy and interpretability, but manually configuring their structure is challenging. We propose using the multi-objective genetic algorithm NSGA-II to automatically optimize GAMs,…

机器学习 · 计算机科学 2026-02-19 Kaaustaaub Shankar , Kelly Cohen

We present a combination of the recently developed double incremental expansion of potential energy surfaces with the well-established adaptive density-guided approach to grid construction. This unique methodology is based on the use of an…

化学物理 · 物理学 2020-06-24 Denis G. Artiukhin , Emil Lund Klinting , Carolin König , Ove Christiansen

A conventional Bayesian approach to prediction uses the posterior distribution to integrate out parameters in a density for unobserved data conditional on the observed data and parameters. When the true posterior is intractable, it is…

统计方法学 · 统计学 2026-02-27 Lucas Kock , Scott A. Sisson , G. S. Rodrigues , David J. Nott

We study optical spectra of finite electronic quantum systems at frequencies smaller than the plasma frequency using a quasi-classical approach. This approach includes collective effects and enables us to analyze how the nature of the…

介观与纳米尺度物理 · 物理学 2009-10-31 M. Santer , B. Mehlig

Combined-resolution simulations are an effective way to study molecular properties across a range of length- and time-scales. These simulations can benefit from adaptive boundaries that allow the high-resolution region to adapt (change size…

计算物理 · 物理学 2018-05-09 Jason A. Wagoner , Vijay S. Pande

Multimodal sentiment analysis (MSA) leverages information fusion from diverse modalities (e.g., text, audio, visual) to enhance sentiment prediction. However, simple fusion techniques often fail to account for variations in modality…

机器学习 · 计算机科学 2025-10-03 Han Wu , Yanming Sun , Yunhe Yang , Derek F. Wong

The key challenge of time-resolved Raman spectroscopy is the identification of the constituent species and the analysis of the kinetics of the underlying reaction network. In this work we present an integral approach that allows for…

数值分析 · 数学 2017-09-15 Robert Luce , Peter Hildebrandt , Uwe Kuhlmann , Jörg Liesen

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

In experimental physics, it is essential to understand electromagnetic (EM) wave scattering across EM spectrum, from radio waves to X-rays, and is pivotal in driving photonics innovations. Recent advancements have uncovered phenomena like…

光学 · 物理学 2024-02-23 Deepanshu Trivedi , Arjuna Madanayake , Alex Krasnok

We describe a simplified approach to simulating Raman spectra using ab initio molecular dynamics (AIMD) calculations. Our protocol relies on on-the-fly calculations of approximate molecular polarizabilities using a sum over orbitals (as…

We discuss a symmetry-adapted algebraic (or vibron) model for molecular spectroscopy. The model is formulated in terms of tensor operators under the molecular point group. In this way, we have identified interactions that are absent in…

化学物理 · 物理学 2017-11-02 R. Bijker , A. Frank , R. Lemus , J. M. Arias , F. Perez-Bernal

This paper develops a formal critique of scalar fiscal aggregation in the IS LM BP/Mundell Fleming framework. It shows that when fiscal policy is composed of heterogeneous instruments current purchases, public investment and transfers to…

综合经济学 · 经济学 2026-05-06 Ricardo Alonzo Fernandez Salguero

We present a first-principles-based multiscale simulation framework for quantitative predictions of the high-energy part of the Ultraviolet Photoelectron Spectroscopy (UPS) spectra of amorphous molecular solids. The approach combines a…

The paper examines the Fractional Fourier Transform (FRFT) based technique as a tool for obtaining probability density function and its derivatives, and mainly for fitting stochastic model with the fundamental probabilistic relationships of…

统计方法学 · 统计学 2021-07-13 A. H. Nzokem

A novel method combining the ensemble refinement by maximum entropy principle and the force field fitting approach is presented. Its formulation allows to continuously interpolate in between these two methods, which can thus be interpreted…

化学物理 · 物理学 2024-01-30 Ivan Gilardoni , Thorben Fröhlking , Giovanni Bussi

Audio signal processing frequently requires time-frequency representations and in many applications, a non-linear spacing of frequency-bands is preferable. This paper introduces a framework for efficient implementation of invertible signal…

泛函分析 · 数学 2013-05-17 Nicki Holighaus , Monika Dörfler , Gino Angelo Velasco , Thomas Grill

Efficient ways to prepare fermionic ground states on quantum computers are in high demand and different techniques have been developed over the last years. Despite having a vast set of methods, it is still unclear which method performs well…

量子物理 · 物理学 2024-03-19 Jakob S. Kottmann , Francesco Scala

We extend the varying coefficient functional linear model to the nonlinear model and propose a varying coefficient functional additive model. The proposed method can represent the relationship between functional predictors and a scalar…

统计方法学 · 统计学 2020-05-27 Hidetoshi Matsui