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To achieve parsimonious inference in per-pixel labeling tasks with a limited computational budget, we propose a \emph{Pixel-wise Attentional Gating} unit (\emph{PAG}) that learns to selectively process a subset of spatial locations at each…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Shu Kong , Charless Fowlkes

This paper presents a GPU implementation of two foreground object segmentation algorithms: Gaussian Mixture Model (GMM) and Pixel Based Adaptive Segmenter (PBAS) modified for RGB-D data support. The simultaneous use of colour (RGB) and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Piotr Janus , Tomasz Kryjak , Marek Gorgon

Derivatives of differential equation solutions are commonly for parameter estimation, fitting neural differential equations, and as model diagnostics. However, with a litany of choices and a Cartesian product of potential methods, it can be…

Numerical Analysis · Computer Science 2021-07-21 Yingbo Ma , Vaibhav Dixit , Mike Innes , Xingjian Guo , Christopher Rackauckas

We study two practically important cases of model based clustering using Gaussian Mixture Models: (1) when there is misspecification and (2) on high dimensional data, in the light of recent advances in Gradient Descent (GD) based…

Machine Learning · Statistics 2020-07-28 Siva Rajesh Kasa , Vaibhav Rajan

Shape optimization is of great significance in structural engineering, as an efficient geometry leads to better performance of structures. However, the application of gradient-based shape optimization for structural and architectural design…

Mathematical Software · Computer Science 2023-06-30 Gaoyuan Wu

The extraction of the model parameters is as important as the development of compact model itself because simulation accuracy is fully determined by the accuracy of the parameters used. This study proposes an efficient model-parameter…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Michihiro Shintani , Aoi Ueda , Takashi Sato

While 3D Gaussian Splatting enables high-quality real-time rendering, existing Gaussian-based frameworks for 3D semantic segmentation still face significant challenges in boundary recognition accuracy. To address this, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Zehao Li , Wenwei Han , Yujun Cai , Hao Jiang , Baolong Bi , Shuqin Gao , Honglong Zhao , Zhaoqi Wang

Attention mechanisms play a crucial role in the neural revolution of Natural Language Processing (NLP). With the growth of attention-based models, several pruning techniques have been developed to identify and exploit sparseness, making…

Computation and Language · Computer Science 2024-05-20 Ileana Rugina , Rumen Dangovski , Li Jing , Preslav Nakov , Marin Soljačić

We present a suite of techniques for jointly optimizing triangle meshes and shading models to match the appearance of reference scenes. This capability has a number of uses, including appearance-preserving simplification of extremely…

Graphics · Computer Science 2021-04-12 Jon Hasselgren , Jacob Munkberg , Jaakko Lehtinen , Miika Aittala , Samuli Laine

We present a fast, differentiable, GPU-accelerated optimization method for ray path tracing in environments containing planar reflectors and straight diffraction edges. Based on Fermat's principle, our approach reformulates the path-finding…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Jérome Eertmans , Sophie Lequeu , Benoît Legat , Laurent Jacques , Claude Oestges

3D Gaussian Splatting (3DGS) has enabled high-fidelity virtualization with fast rendering and optimization for novel view synthesis. On the other hand, triangle mesh models still remain a popular choice for surface reconstruction but suffer…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Xinpeng Liu , Fumio Okura

This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code generation is done via automatic differentiation (AD) with…

We present a GPU-based Locality Sensitive Hashing (LSH) algorithm to speed up beam search for sequence models. We utilize the winner-take-all (WTA) hash, which is based on relative ranking order of hidden dimensions and thus resilient to…

Computation and Language · Computer Science 2018-06-05 Xing Shi , Shizhen Xu , Kevin Knight

Reducing the triangle count in complex 3D models is a basic geometry preprocessing step in graphics pipelines such as efficient rendering and interactive editing. However, most existing mesh simplification methods exhibit a few issues.…

Graphics · Computer Science 2025-09-09 Seonghun Oh , Xiaodi Yuan , Xinyue Wei , Ruoxi Shi , Fanbo Xiang , Minghua Liu , Hao Su

We present JAX-PF, an open-source, GPU-accelerated, and differentiable Phase Field (PF) software package, supporting both explicit and implicit time stepping schemes. Leveraging the modern computing architecture JAX, JAX-PF achieves high…

Computational Physics · Physics 2026-01-13 Fanglei Hu , Jiachen Guo , Stephen Niezgoda , Wing Kam Liu , Jian Cao

We leverage automatic differentiation (AD) and probabilistic programming to develop an end-to-end optimization algorithm for batch triangulation of a large number of unknown objects. Given noisy detections extracted from noisily geo-located…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Jonathan P. Chen , Fritz Obermeyer , Vladimir Lyapunov , Lionel Gueguen , Noah D. Goodman

Visualization of large vector line data is a core task in geographic and cartographic systems. Vector maps are often displayed at different cartographic generalization levels, traditionally by using several discrete levels-of-detail (LODs).…

Graphics · Computer Science 2020-06-18 Alireza Amiraghdam , Alexandra Diehl , Renato Pajarola

Differentiable programming allows for derivatives of functions implemented via computer code to be calculated automatically. These derivatives are calculated using automatic differentiation (AD). This thesis explores two applications of…

Plasma Physics · Physics 2024-10-16 Nick McGreivy

The application of operator overloading algorithmic differentiation (AD) to computer programs in order to compute the derivative is quite common. But, the replacement of the underlying computational floating point type with the specialized…

Mathematical Software · Computer Science 2026-02-18 Max Sagebaum , Nicolas R. Gauger

Solving partial differential equations (PDEs) on shapes underpins many shape analysis and engineering tasks; yet, prevailing PDE solvers operate on polygonal/triangle meshes while modern 3D assets increasingly live as neural…

Machine Learning · Computer Science 2026-05-29 Lilian Welschinger , Yilin Liu , Zican Wang , Niloy Mitra