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We present a versatile open-source framework designed to facilitate efficient, numerically-tailored Matrix-Matrix Multiplications (MMMs). The framework offers two primary contributions: first, a fine-tuned, automated pipeline for arithmetic…

Mathematical Software · Computer Science 2024-06-06 Louis Ledoux , Marc Casas

We present a novel convex formulation that weakly couples the Material Point Method (MPM) with rigid body dynamics through frictional contact, optimized for efficient GPU parallelization. Our approach features an asynchronous time-splitting…

Robotics · Computer Science 2025-07-08 Chang Yu , Wenxin Du , Zeshun Zong , Alejandro Castro , Chenfanfu Jiang , Xuchen Han

A fundamental problem in robotic perception is matching identical objects or data, with applications such as loop closure detection, place recognition, object tracking, and map fusion. While the problem becomes considerably more challenging…

Robotics · Computer Science 2021-12-01 Parker C. Lusk , Ronak Roy , Kaveh Fathian , Jonathan P. How

In this paper, we propose a tightly-coupled SLAM system fused with RGB, Depth, IMU and structured plane information. Traditional sparse points based SLAM systems always maintain a mass of map points to model the environment. Huge number of…

Robotics · Computer Science 2022-07-05 Danpeng Chen , Shuai Wang , Weijian Xie , Shangjin Zhai , Nan Wang , Hujun Bao , Guofeng Zhang

Large language models (LLMs) have demonstrated remarkable performance across a wide range of language processing tasks. However, this success comes at the cost of substantial computation and memory requirements, which significantly impedes…

Machine Learning · Computer Science 2026-01-21 Fen-Yu Hsieh , Yun-Chang Teng , Ding-Yong Hong , Jan-Jan Wu

This paper develops a memory-efficient approach for Sequential Pattern Mining (SPM), a fundamental topic in knowledge discovery that faces a well-known memory bottleneck for large data sets. Our methodology involves a novel hybrid trie data…

Databases · Computer Science 2024-07-30 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

Mechanical metamaterials utilize geometry to achieve exceptional mechanical properties, including those not typically possible for traditional materials. To achieve these properties, it is necessary to identify the proper structures and…

Applied Physics · Physics 2024-10-11 Jiakun Liu , Adam Taylor , Sage Fulco , Sumukh S. Pande , Kevin T. Turner

Handling sparse and unstructured geometric data, such as point clouds or event-based vision, is a pressing challenge in the field of machine vision. Recently, sequence models such as Transformers and state-space models entered the domain of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Mark Schöne , Yash Bhisikar , Karan Bania , Khaleelulla Khan Nazeer , Christian Mayr , Anand Subramoney , David Kappel

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Hidden Markov Model (HMM) combined with Gaussian Process (GP) emission can be effectively used to estimate the hidden state with a sequence of complex input-output relational observations. Especially when the spectral mixture (SM) kernel is…

Machine Learning · Computer Science 2020-01-08 Yohan Jung , Jinkyoo Park

Accurate and robust modelling of large deformation three dimensional contact interaction is an important area of engineering, but it is also challenging from a computational mechanics perspective. This is particularly the case when there is…

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

This paper applies the Recursive Projection Method (RPM) to the problem of finding the effective mechanical response of a periodic heterogeneous solid. Previous works apply the Fast Fourier Transform (FFT) in combination with various…

Computational Engineering, Finance, and Science · Computer Science 2020-03-18 Xiaoyao Peng , Dhriti Nepal , Kaushik Dayal

High-quality digital terrain models derived from airborne laser scanning (ALS) data are essential for a wide range of geospatial analyses, and their generation typically relies on robust ground filtering (GF) to separate point clouds across…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Nannan Qin , Pengjie Tao , Haiyan Guan , Zhizhong Kang , Lingfei Ma , Xiangyun Hu , Jonathan Li

We consider a class of optimization problems for sparse signal reconstruction which arise in the field of Compressed Sensing (CS). A plethora of approaches and solvers exist for such problems, for example GPSR, FPC AS, SPGL1, NestA,…

Optimization and Control · Mathematics 2013-11-19 Kimon Fountoulakis , Jacek Gondzio , Pavel Zhlobich

Sparse matrices, more specifically SpGEMM kernels, are commonly found in a wide range of applications, spanning graph-based path-finding to machine learning algorithms (e.g., neural networks). A particular challenge in implementing SpGEMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Kaustubh Shivdikar

In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space. As in multiscale finite…

Numerical Analysis · Mathematics 2015-06-12 Yalchin Efendiev , Juan Galvis , Thomas Y. Hou

Dense geometric matching determines the dense pixel-wise correspondence between a source and support image corresponding to the same 3D structure. Prior works employ an encoder of transformer blocks to correlate the two-frame features.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Shengjie Zhu , Xiaoming Liu

Existing Deep Learning frameworks exclusively use either Parameter Server(PS) approach or MPI parallelism. In this paper, we discuss the drawbacks of such approaches and propose a generic framework supporting both PS and MPI programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-12 Amith R Mamidala , Georgios Kollias , Chris Ward , Fausto Artico