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A globally-adaptive curvilinear coordinate formalism is shown to be easily convertible to a class of curvilinear transformations locally optimized around atom sites by a few parameters. Parameter transferability is established for a…

Materials Science · Physics 2009-10-31 D. R. Hamann

This work proposes a new method to select the augmentation parameters in the operator splitting quadratic program (OSQP) algorithm so as to reduce the computation time of overall algorithm. The selection is based upon the information of…

Optimization and Control · Mathematics 2025-03-25 Avinash Kumar

This paper presents a LiDAR odometry estimation framework called Generalized LOAM. Our proposed method is generalized in that it can seamlessly fuse various local geometric shapes around points to improve the position estimation accuracy…

Robotics · Computer Science 2022-11-01 Kohei Honda , Kenji Koide , Masashi Yokozuka , Shuji Oishi , Atsuhiko Banno

This paper studies a proximal alternating direction method of multipliers (ADMM) with variable metric indefinite proximal terms for linearly constrained convex optimization problems. The proximal ADMM plays an important role in many…

Optimization and Control · Mathematics 2019-07-01 Yan Gu , Nobuo Yamashita

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

Methodology · Statistics 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

This article proposes a biconvex modification to convex biclustering in order to improve its performance in high-dimensional settings. In contrast to heuristics that discard a subset of noisy features a priori, our method jointly learns and…

Machine Learning · Statistics 2026-04-13 Sam Rosen , Eric C. Chi , Jason Xu

We present a novel and effective binary representation for convex shapes. We show the equivalence between the shape convexity and some properties of the associated indicator function. The proposed method has two advantages. Firstly, the…

Numerical Analysis · Mathematics 2020-02-25 Shousheng Luo , Xue-Cheng Tai , Yang Wang

A scheme is presented for accurately propagating the gravitational field constraints in finite difference implementations of numerical relativity. The method is based on similar techniques used in astrophysical magnetohydrodynamics and…

Astrophysics · Physics 2009-11-10 David L. Meier

We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on curves for instance. The proposed principle and algorithm are…

Numerical Analysis · Mathematics 2019-02-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat , Pierre Weiss

We present a new perspective on graph-based methods for collaborative ranking for recommender systems. Unlike user-based or item-based methods that compute a weighted average of ratings given by the nearest neighbors, or low-rank…

Machine Learning · Computer Science 2016-02-17 Da Kuang , Zuoqiang Shi , Stanley Osher , Andrea Bertozzi

Novelty detection aims to automatically identify out-of-distribution (OOD) data, without any prior knowledge of them. It is a critical step in data monitoring, behavior analysis and other applications, helping enable continual learning in…

Machine Learning · Computer Science 2021-12-21 Jingbo Sun , Li Yang , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar , Deliang Fan , Yu Cao

Dimension reduction and data quantization are two important methods for reducing data complexity. In the paper, we study the methodology of first reducing data dimension by random projection and then quantizing the projections to ternary or…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Weizhi Lu , Mingrui Chen , Kai Guo , Weiyu Li

One-shot LiDAR localization refers to the ability to estimate the robot pose from one single point cloud, which yields significant advantages in initialization and relocalization processes. In the point cloud domain, the topic has been…

Robotics · Computer Science 2023-09-19 Pengyu Yin , Haozhi Cao , Thien-Minh Nguyen , Shenghai Yuan , Shuyang Zhang , Kangcheng Liu , Lihua Xie

Binary concepts are empirically used by humans to generalize efficiently. And they are based on Bernoulli distribution which is the building block of information. These concepts span both low-level and high-level features such as "large vs…

Machine Learning · Computer Science 2023-03-23 Zizhao Hu , Mohammad Rostami

We present a dimension-incremental method for function approximation in bounded orthonormal product bases to learn the solutions of various differential equations. Therefore, we decompose the source function of the differential equation…

Numerical Analysis · Mathematics 2025-05-20 Daniel Potts , Fabian Taubert

Binary and sparse ternary weights in neural networks enable faster computations and lighter representations, facilitating their use on edge devices with limited computational power. Meanwhile, vanilla RNNs are highly sensitive to changes in…

Machine Learning · Computer Science 2025-05-07 Armand Foucault , Franck Mamalet , François Malgouyres

This paper presents a majorized alternating direction method of multipliers (ADMM) with indefinite proximal terms for solving linearly constrained $2$-block convex composite optimization problems with each block in the objective being the…

Optimization and Control · Mathematics 2015-06-24 Min Li , Defeng Sun , Kim-Chuan Toh

The Random Hypersurface Model (RHM) is introduced that allows for estimating a shape approximation of an extended object in addition to its kinematic state. An RHM represents the spatial extent by means of randomly scaled versions of the…

Systems and Control · Computer Science 2013-04-19 Marcus Baum , Uwe D. Hanebeck

We propose a two-step estimating procedure for generalized additive partially linear models with clustered data using estimating equations. Our proposed method applies to the case that the number of observations per cluster is allowed to…

Statistics Theory · Mathematics 2013-02-20 Shujie Ma

Ordinal regression refers to classifying object instances into ordinal categories. Ordinal regression is crucial for applications in various areas like facial age estimation, image aesthetics assessment, and even cancer staging, due to its…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Jinhong Wang , Jintai Chen , Jian Liu , Dongqi Tang , Danny Z. Chen , Jian Wu