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Using a deterministic framework allows us to estimate a function with the purpose of interpolating data in spatial statistics. Radial basis functions are commonly used for scattered data interpolation in a d-dimensional space, however,…

统计计算 · 统计学 2024-04-03 Joaquin Cavieres , Michael Karkulik

Stochasticity plays important roles in reaction systems. Vector fields of probability flux and velocity characterize time-varying and steady-state properties of these systems, including high probability paths, barriers, checkpoints among…

分子网络 · 定量生物学 2018-12-05 Anna Terebus , Chun Liu , Jie Liang

In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

流体动力学 · 物理学 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

This paper presents a distributionally robust stochastic model predictive control (SMPC) approach for linear discrete-time systems subject to unbounded and correlated additive disturbances. We consider hard input constraints and state…

最优化与控制 · 数学 2021-09-21 Christoph Mark , Steven Liu

Inference in discrete graphical models with variational methods is difficult because of the inability to re-parameterize gradients of the Evidence Lower Bound (ELBO). Many sampling-based methods have been proposed for estimating these…

机器学习 · 计算机科学 2020-10-23 Andy Shih , Stefano Ermon

One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven…

材料科学 · 物理学 2017-09-08 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

Spin-glass systems are universal models for representing many-body phenomena in statistical physics and computer science. High quality solutions of NP-hard combinatorial optimization problems can be encoded into low energy states of…

无序系统与神经网络 · 物理学 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

Evaluating accessible conformational space is computationally expensive and thermal motions are partly neglected in computer models of molecular interactions. This produces error into the estimates of binding strength. We introduce a method…

定量方法 · 定量生物学 2016-12-13 Riku Hakulinen , Santeri Puranen

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

机器学习 · 统计学 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

Efficient and reliable generation of global path plans are necessary for safe execution and deployment of autonomous systems. In order to generate planning graphs which adequately resolve the topology of a given environment, many…

机器人学 · 计算机科学 2022-05-24 Alexander Lambert , Brian Hou , Rosario Scalise , Siddhartha S. Srinivasa , Byron Boots

Probabilistic bits (p-bits) are stochastic hardware elements whose output probability can be tuned by an input bias, offering a route to energy-efficient architectures that exploit, rather than suppress, fluctuations. Here we report p-bit…

This paper presents a probabilistic surrogate model for the accelerated design of electric vehicle battery enclosures with a focus on crash performance. The study integrates high-throughput finite element simulations and Gaussian Process…

机器学习 · 计算机科学 2024-08-08 Shadab Anwar Shaikh , Harish Cherukuri , Kranthi Balusu , Ram Devanathan , Ayoub Soulami

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

机器学习 · 计算机科学 2021-06-07 Anji Liu , Guy Van den Broeck

Computational modeling and simulation of fluid-structure interactions constitute a fundamental cornerstone for advancing aerospace engineering endeavors. This paper addresses the notion and implementation of the immersed boundary method for…

计算物理 · 物理学 2025-12-24 Longqing Ge , Qingdong Cai , Yonghao Zhang , Tianbai Xiao

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

最优化与控制 · 数学 2021-02-23 Jon Cockayne , Andrew B. Duncan

In modern engineering, computer simulations are a popular tool to analyse, design, and optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis and robust design are of increasing importance. Hence, an…

统计计算 · 统计学 2017-05-12 R. Schöbi , B. Sudret

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

介观与纳米尺度物理 · 物理学 2023-10-03 V. A. Slipko , Y. V. Pershin

In the context of dynamic emission tomography, the conventional processing pipeline consists of independent image reconstruction of single time frames, followed by the application of a suitable kinetic model to time activity curves (TACs)…

应用统计 · 统计学 2018-08-28 Michele Scipioni , Stefano Pedemonte , Maria Filomena Santarelli , Luigi Landini

This contribution combines a low-rank matrix approximation through Singular Value Decomposition (SVD) with second-order Krylov subspace-based Model Order Reduction (MOR), in order to efficiently propagate input uncertainties through a given…

计算工程、金融与科学 · 计算机科学 2024-08-19 Yannik Hüpel , Ulrich Römer , Matthias Bollhöfer , Sabine Langer

Deep learning (DL) models, despite their remarkable success, remain vulnerable to small input perturbations that can cause erroneous outputs, motivating the recent proposal of probabilistic robustness (PR) as a complementary alternative to…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Zheng Wang , Yi Zhang , Siddartha Khastgir , Carsten Maple , Xingyu Zhao