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Numerical resolution of high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality. Starting from the weak formulation of the Lawson-Euler scheme, this paper proposes a stochastic particle method (SPM) by…

Numerical Analysis · Mathematics 2025-02-11 Zhengyang Lei , Sihong Shao , Yunfeng Xiong

This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we formulate the detection task as a constrained likelihood…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Mordechai Roth , Amichai Painsky , Tamir Bendory

A hallmark of object-oriented programming is the ability to perform computation through a set of interacting objects. A common manifestation of this style is the notion of a package, which groups a set of commonly used classes together. A…

Software Engineering · Computer Science 2014-01-21 Shahram Esmaeilsabzali , Rupak Majumdar , Thomas Wies , Damien Zufferey

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

Automated vehicles and logistics robots must often position themselves in narrow environments with high precision in front of a specific target, such as a package or their charging station. Often, these docking scenarios are solved in two…

Robotics · Computer Science 2025-04-07 Oliver Schumann , Michael Buchholz , Klaus Dietmayer

Diffusion-based imitation learning has shown strong promise for robot manipulation. However, most existing policies condition only on the current observation or a short window of recent observations, limiting their ability to resolve…

Robotics · Computer Science 2026-05-22 Zhiyuan Guan , Jianshu Hu , Han Fang , Yunpeng Jiang , Yize Huang , Shujia Li , Xiao Li , Yutong Ban

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts increasing the coverage are accepted. A finite system eventually gets congested, and we study the statistics of congested…

Probability · Mathematics 2023-03-28 P. L. Krapivsky

This paper introduces key machine learning operations that allow the realization of robust, joint 6D pose estimation of multiple instances of objects either densely packed or in unstructured piles from RGB-D data. The first objective is to…

Robotics · Computer Science 2019-10-14 Chaitanya Mitash , Bowen Wen , Kostas Bekris , Abdeslam Boularias

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

We settle the pseudo-polynomial complexity of the Demand Strip Packing (DSP) problem: Given a strip of fixed width and a set of items with widths and heights, the items must be placed inside the strip with the objective of minimizing the…

Data Structures and Algorithms · Computer Science 2025-07-02 Klaus Jansen , Malin Rau , Malte Tutas

Physically disentangling entangled objects from each other is a problem encountered in waste segregation or in any task that requires disassembly of structures. Often there are no object models, and, especially with cluttered irregularly…

Robotics · Computer Science 2021-04-13 Joni Pajarinen , Oleg Arenz , Jan Peters , Gerhard Neumann

Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that arise in quantum physics and random matrix theory. In contrast to traditional structured models like Markov random fields, which become intractable and…

Machine Learning · Statistics 2013-01-11 Alex Kulesza , Ben Taskar

We create mechanically stable (MS) packings of bidisperse disks using an algorithm in which we successively grow or shrink soft repulsive disks followed by energy minimization until the overlaps are vanishingly small. We focus on small…

Statistical Mechanics · Physics 2009-11-11 Guo-Jie Gao , Jerzy Blawzdziewicz , Corey S. O'Hern

The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with…

Statistical Mechanics · Physics 2009-10-31 E. Eisenberg , A. Baram

This work presents a novel dense RGB-D SLAM approach for dynamic planar environments that enables simultaneous multi-object tracking, camera localisation and background reconstruction. Previous dynamic SLAM methods either rely on semantic…

Robotics · Computer Science 2022-10-19 Ran Long , Christian Rauch , Tianwei Zhang , Vladimir Ivan , Tin Lun Lam , Sethu Vijayakumar

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

The wave scattering by moving particles (dynamic scattering) is a well known physical problem routinely occurring in practice. For the particles which are much smaller than the incident wavelength, the static scattering problem can be…

Optics · Physics 2014-02-25 F. G. Bass , V. V. Prosentsov

The Dynamic Saliency Prediction (DSP) task simulates the human selective attention mechanism to perceive the dynamic scene, which is significant and imperative in many vision tasks. Most of existing methods only consider visual cues, while…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Hailong Ning , Bin Zhao , Zhanxuan Hu , Lang He , Ercheng Pei

Static mapping is fundamental to robot navigation, providing a persistent geometric prior and a consistent reference for long-term autonomy. However, dynamic objects leave residual traces and cause surface loss, which reduces map…

Robotics · Computer Science 2026-05-12 Daebeom Kim , Seungjae Lee , Seoyeon Jang , Kevin Christiansen Marsim , Hyun Myung

Picking unseen objects from clutter is a difficult problem because of the variability in objects (shape, size, and material) and occlusion due to clutter. As a result, it becomes difficult for grasping methods to segment the objects…

Robotics · Computer Science 2023-12-21 Prem Raj , Aniruddha Singhal , Vipul Sanap , L. Behera , Rajesh Sinha
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