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In this paper we present a new coherence-based performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. A lower bound for the probability of correctly identifying the support of a sparse signal with additive white Gaussian…

Information Theory · Computer Science 2017-09-28 Ehsan Miandji , Mohammad Emadi , Jonas Unger , Ehsan Afshari

Optimal Transport (OT) based distances are powerful tools for machine learning to compare probability measures and manipulate them using OT maps. In this field, a setting of interest is semi-discrete OT, where the source measure $\mu$ is…

Cost-efficient compressive sensing is challenging when facing large-scale data, {\em i.e.}, data with large sizes. Conventional compressive sensing methods for large-scale data will suffer from low computational efficiency and massive…

Data Structures and Algorithms · Computer Science 2016-03-18 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

Neural Radiance Fields (NeRF) have garnered considerable attention as a paradigm for novel view synthesis by learning scene representations from discrete observations. Nevertheless, NeRF exhibit pronounced performance degradation when…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Zelin Gao , Weichen Dai , Yu Zhang

Accurate 3D scene motion perception significantly enhances the safety and reliability of an autonomous driving system. Benefiting from its all-weather operational capability and unique perceptual properties, 4D mmWave radar has emerged as…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ruiqi Cheng , Huijun Di , Jian Li , Feng Liu , Wei Liang

To provide constraints on their inversion, ocean sound speed profiles (SSPs) often are modeled using empirical orthogonal functions (EOFs). However, this regularization, which uses the leading order EOFs with a minimum-energy constraint on…

Atmospheric and Oceanic Physics · Physics 2023-07-19 Michael Bianco , Peter Gerstoft

Region-based methods have become increasingly popular for model-based, monocular 3D tracking of texture-less objects in cluttered scenes. However, while they achieve state-of-the-art results, most methods are computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Manuel Stoiber , Martin Pfanne , Klaus H. Strobl , Rudolph Triebel , Alin Albu-Schäffer

In [97,99,100], an fl-RDT framework is introduced to characterize \emph{statistical computational gaps} (SCGs). Studying \emph{symmetric binary perceptrons} (SBPs), [100] obtained an \emph{algorithmic} threshold estimate $\alpha_a\approx…

Machine Learning · Computer Science 2026-04-22 Mihailo Stojnic

Deep metric learning aims to learn embeddings that contain semantic similarity information among data points. To learn better embeddings, methods to generate synthetic hard samples have been proposed. Existing methods of synthetic hard…

Computer Vision and Pattern Recognition · Computer Science 2020-04-24 Geonmo Gu , Byungsoo Ko

High-resolution (HR) land-cover mapping is often constrained by the high cost of dense HR annotations. We revisit this problem from the perspective of map super-resolution, which enhances coarse low-resolution (LR) land-cover products into…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Ruiqi Wang , Qi Yu , Jie Ma , Hanlin Wu

Finding corresponding pixels within a pair of images is a fundamental computer vision task with various applications. Due to the specific requirements of different tasks like optical flow estimation and local feature matching, previous…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Songyan Zhang , Xinyu Sun , Hao Chen , Bo Li , Chunhua Shen

In distributed training of deep neural networks, people usually run Stochastic Gradient Descent (SGD) or its variants on each machine and communicate with other machines periodically. However, SGD might converge slowly in training some deep…

Machine Learning · Computer Science 2022-10-14 Mingrui Liu , Zhenxun Zhuang , Yunwei Lei , Chunyang Liao

In this paper, we propose a RGB-D SLAM system that reconstructs a language-aligned dense feature field while sustaining low-latency tracking and mapping. First, we introduce a Top-K Rendering pipeline, a high-throughput and…

Robotics · Computer Science 2026-02-10 Seongbo Ha , Sibaek Lee , Kyungsu Kang , Joonyeol Choi , Seungjun Tak , Hyeonwoo Yu

Exact recovery of $K$-sparse signals $x \in \mathbb{R}^{n}$ from linear measurements $y=Ax$, where $A\in \mathbb{R}^{m\times n}$ is a sensing matrix, arises from many applications. The orthogonal matching pursuit (OMP) algorithm is widely…

Information Theory · Computer Science 2020-08-13 Jinming Wen , Rui Zhang , Wei Yu

Rotating Synthetic Aperture Radar (ROSAR) can generate a 360$^\circ$ image of its surrounding environment using the collected data from a single moving track. Due to its non-linear track, the Back-Projection Algorithm (BPA) is commonly used…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Wei Zhao , Cai Wen , Quan Yuan , Rong Zheng

In this paper, we present coherence-based performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two…

Statistics Theory · Mathematics 2012-09-28 Yuejie Chi , Robert Calderbank

This paper introduces a novel unsupervised neural network model for visual information encoding which aims to address the problem of large-scale visual localization. Inspired by the structure of the visual cortex, the model (namely HSD)…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Sylvain Colomer , Nicolas Cuperlier , Guillaume Bresson , Olivier Romain

Data characterized by high dimensionality and sparsity are commonly used to describe real-world node interactions. Low-rank representation (LR) can map high-dimensional sparse (HDS) data to low-dimensional feature spaces and infer node…

Machine Learning · Computer Science 2024-08-30 Qicong Hu , Hao Wu

Consider the compressed sensing setup where the support $s^*$ of an $m$-sparse $d$-dimensional signal $x$ is to be recovered from $n$ linear measurements with a given algorithm. Suppose that the measurements are such that the algorithm does…

Information Theory · Computer Science 2021-03-10 Mohammad Mehrabi , Aslan Tchamkerten

Space-time adaptive processing (STAP) algorithms with coprime arrays can provide good clutter suppression potential with low cost in airborne radar systems as compared with their uniform linear arrays counterparts. However, the performance…

Signal Processing · Electrical Eng. & Systems 2020-01-07 X. Wang , Z. Yang , J. Huang , R. C. de Lamare