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In this paper, we propose a novel approach for outlier detection, called local projections, which is based on concepts of Local Outlier Factor (LOF) (Breunig et al., 2000) and RobPCA (Hubert et al., 2005). By using aspects of both methods,…

We present a locality preserving loss (LPL) that improves the alignment between vector space embeddings while separating uncorrelated representations. Given two pretrained embedding manifolds, LPL optimizes a model to project an embedding…

Machine Learning · Computer Science 2021-03-15 Ashwinkumar Ganesan , Francis Ferraro , Tim Oates

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

Computation · Statistics 2019-05-14 Bin Liu

Partition problems in graphs are extremely important in applications, as shown in the Data science and Machine learning literature. One approach is spectral partitioning based on a Fiedler vector, i.e., an eigenvector corresponding to the…

Combinatorics · Mathematics 2023-06-23 Enide Andrade , Geir Dahl

The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides important geometric and topological information about a space.…

Characterizing shapes of high-dimensional objects via Ricci curvatures plays a critical role in many research areas in mathematics and physics. However, even though several discretizations of Ricci curvatures for discrete combinatorial…

Data Structures and Algorithms · Computer Science 2023-08-14 Bhaskar DasGupta , Elena Grigorescu , Tamalika Mukherjee

The R-package REPPlab is designed to explore multivariate data sets using one-dimensional unsupervised projection pursuit. It is useful in practice as a preprocessing step to find clusters or as an outlier detection tool for multivariate…

Computation · Statistics 2024-09-10 Daniel Fischer , Alain Berro , Klaus Nordhausen , Anne Ruiz-Gazen

The current state of the research in landmark recognition highlights the good accuracy which can be achieved by embedding techniques, such as Fisher vector and VLAD. All these techniques do not exploit spatial information, i.e. consider all…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 Federico Magliani , Navid Mahmoudian Bidgoli , Andrea Prati

Federated learning enables joint training of machine learning models from distributed clients without sharing their local data. One key challenge in federated learning is to handle non-identically distributed data across the clients, which…

Machine Learning · Computer Science 2023-12-25 Tiejin Chen , Yuanpu Cao , Yujia Wang , Cho-Jui Hsieh , Jinghui Chen

We present a novel topology-preserving 3D medial axis computation framework based on volumetric restricted power diagram (RPD), while preserving the medial features and geometric convergence simultaneously, for both 3D CAD and organic…

Graphics · Computer Science 2024-09-16 Ningna Wang , Hui Huang , Shibo Song , Bin Wang , Wenping Wang , Xiaohu Guo

Visual Place Recognition (VPR) is a scene-oriented image retrieval problem in computer vision in which re-ranking based on local features is commonly employed to improve performance. In robotics, VPR is also referred to as Loop Closure…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Bingxi Liu , Hao Chen , Shiyi Guo , Yihong Wu , Jinqiang Cui , Hong Zhang

Misalignment angle will result in a considerable error for the integration of Doppler Velocity Log (DVL) and of Strapdown Inertial Navigation System (SINS). In this paper, a robust initial alignment method for SINS/DVL is proposed to solve…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Xiang Xu , Jing Gui , Yifan Sun , Yiqing Yao , Tao Zhang

Learning the distance metric between pairs of examples is of great importance for visual recognition, especially for person re-identification (Re-Id). Recently, the contrastive and triplet loss are proposed to enhance the discriminative…

Computer Vision and Pattern Recognition · Computer Science 2017-07-26 De Cheng , Yihong Gong , Zhihui Li , Weiwei Shi , Alexander G. Hauptmann , Nanning Zheng

High-dimensional time series forecasting suffers from severe overfitting when the number of predictors exceeds available observations, making standard local projection methods unstable and unreliable. We propose an enhanced Random Subspace…

Machine Learning · Computer Science 2026-03-10 Eman Khalid , Moimma Ali Khan , Zarmeena Ali , Abdullah Illyas , Muhammad Usman , Saoud Ahmed

Autonomous service mobile robots need to consistently, accurately, and robustly localize in human environments despite changes to such environments over time. Episodic non-Markov Localization addresses the challenge of localization in such…

Robotics · Computer Science 2020-08-03 Samer Nashed , Joydeep Biswas

Gradient inversion (GI) attacks present a threat to the privacy of clients in federated learning (FL) by aiming to enable reconstruction of the clients' data from communicated model updates. A number of such techniques attempts to…

Machine Learning · Computer Science 2024-05-03 Huancheng Chen , Haris Vikalo

Gaussian processes (GPs) are popular nonparametric statistical models for learning unknown functions and quantifying the spatiotemporal uncertainty in data. Recent works have extended GPs to model scalar and vector quantities distributed…

We propose a reconstruction-based a posteriori error estimate for linear advection problems in one space dimension. In our framework, a stable variational ultra-weak formulation is adopted, and the equivalence of the $L_2$-norm of the error…

Numerical Analysis · Mathematics 2019-04-24 Alexandre Ern , Martin Vohralík , Mohammad Zakerzadeh

Estimating graphical model structure from high-dimensional and undersampled data is a fundamental problem in many scientific fields. Existing approaches, such as GLASSO, latent variable GLASSO, and latent tree models, suffer from high…

Machine Learning · Statistics 2019-09-18 Greg Ver Steeg , Hrayr Harutyunyan , Daniel Moyer , Aram Galstyan

Visual tracking fundamentally involves regressing the state of the target in each frame of a video. Despite significant progress, existing regression-based trackers still tend to experience failures and inaccuracies. To enhance the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Zhuang Qi , Junlin Zhang , Xin Qi