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The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

Materials Science · Physics 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff

3D scene understanding from single images is a pivotal problem in computer vision with numerous downstream applications in graphics, augmented reality, and robotics. While diffusion-based modeling approaches have shown promise, they often…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Wanhee Lee , Klemen Kotar , Rahul Mysore Venkatesh , Jared Watrous , Honglin Chen , Khai Loong Aw , Daniel L. K. Yamins

Causal Abstraction (CA) theory provides a principled framework for relating causal models that describe the same system at different levels of granularity while ensuring interventional consistency between them. Recent methods for learning…

Machine Learning · Computer Science 2026-01-23 Yorgos Felekis , Theodoros Damoulas , Paris Giampouras

In deformable object manipulation, we often want to interact with specific segments of an object that are only defined in non-deformed models of the object. We thus require a system that can recognize and locate these segments in sensor…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Pit Henrich , Balázs Gyenes , Paul Maria Scheikl , Gerhard Neumann , Franziska Mathis-Ullrich

This thesis presents Regenerative Rejection Sampling (RRS), a novel approximate sampling algorithm inspired by classical Rejection Sampling and Markov Chain Monte Carlo methods. The method constructs a continuous-time regenerative process…

Computation · Statistics 2026-04-01 Tommaso Bozzi

We introduce a sequential model for the deposition and aggregation of particles in the submonolayer regime. Once a particle has been randomly deposited on the substrate, it sticks to the closest atom or island within a distance \ell,…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Yukio Saito

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

PCA is a classical statistical technique whose simplicity and maturity has seen it find widespread use as an anomaly detection technique. However, it is limited in this regard by being sensitive to gross perturbations of the input, and by…

Machine Learning · Computer Science 2017-08-01 Raghavendra Chalapathy , Aditya Krishna Menon , Sanjay Chawla

Sample average approximation (SAA) is a technique for obtaining approximate solutions to stochastic programs that uses the average from a random sample to approximate the expected value that is being optimized. Since the outcome from…

Optimization and Control · Mathematics 2026-01-22 Harshit Kothari , James R. Luedtke

Computer system simulation studies routinely rely on executing a limited number of short application regions, since full end-to-end simulation is prohibitively time-consuming. To preserve representativeness, existing methods employ either…

Hardware Architecture · Computer Science 2026-03-25 Magnus Ekman

Completely random measures (CRMs) and their normalizations are a rich source of Bayesian nonparametric priors. Examples include the beta, gamma, and Dirichlet processes. In this paper we detail two major classes of sequential CRM…

Statistics Theory · Mathematics 2020-05-11 Trevor Campbell , Jonathan H. Huggins , Jonathan P. How , Tamara Broderick

Most existing CNN-based super-resolution (SR) methods are developed based on an assumption that the degradation is fixed and known (e.g., bicubic downsampling). However, these methods suffer a severe performance drop when the real…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Longguang Wang , Yingqian Wang , Xiaoyu Dong , Qingyu Xu , Jungang Yang , Wei An , Yulan Guo

A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed approach are demonstrated by computing…

Mathematical Physics · Physics 2023-05-18 Nunziante Valoroso

We present nonparametric techniques for constructing and verifying density estimates from high-dimensional data whose irregular dependence structure cannot be modelled by parametric multivariate distributions. A low-dimensional…

Applications · Statistics 2009-07-02 Susan M. Buchman , Ann B. Lee , Chad M. Schafer

The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the discrete system of equations is counteracted by…

Computational Engineering, Finance, and Science · Computer Science 2021-02-18 Philipp Junker , Johannes Riesselmann , Daniel Balzani

We use a simple, collision-based, discrete, random abrasion model to compute the profiles for the stoss faces in a bedrock abrasion process. The model is the discrete equivalent of the generalized version of a classical, collision based…

Geophysics · Physics 2018-02-20 Andras A. Sipos , Gabor Domokos , Andrew Wilson , Niels Hovius

We report a detailed and systematic study of wave propagation through a stochastic absorbing random medium. Stochastic absorption is modeled by introducing an attenuation constant per unit length $\alpha$ in the free propagation region of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is sufficient or redundant, and points out the possible local…

Numerical Analysis · Mathematics 2019-05-15 Xin Xu , Xiaopeng Luo

Understanding the dynamic adsorption of colloidal particles at fluid interfaces is essential for applications ranging from emulsion stabilization to interfacial assembly of functional materials. Adsorption dynamics is often described…

Soft Condensed Matter · Physics 2025-07-29 Marina Pasquet , Yu Fu , Joelle Frechette

Employing numerical and theoretical methods, we investigate the structural characteristics of random sequential addition (RSA) of congruent spheres in $d$-dimensional Euclidean space $\mathbb{R}^d$ in the infinite-time or saturation limit…

Statistical Mechanics · Physics 2015-06-25 S. Torquato , O. U. Uche , F. H. Stillinger
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