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Low-rank adaptation (LoRA) has emerged as a powerful tool for parameter-efficient fine-tuning of large language models (LLMs). This paper studies LoRA under a federated learning setting, enabling collaborative fine-tuning across clients…

Machine Learning · Statistics 2026-05-21 Shuaida He , Liwen Chen , Long Feng

We propose distributed solutions to the problem of Robust Subspace Recovery (RSR). Our setting assumes a huge dataset in an ad hoc network without a central processor, where each node has access only to one chunk of the dataset.…

Numerical Analysis · Mathematics 2018-11-07 Vahan Huroyan , Gilad Lerman

Neural networks are predominantly trained using gradient-based methods, yet in many applications their final predictions remain far from the accuracy attainable within the model's expressive capacity. We introduce Linearized Subspace…

Machine Learning · Computer Science 2026-01-21 Wenbo Cao , Weiwei Zhang

Structured low-rank (SLR) algorithms, which exploit annihilation relations between the Fourier samples of a signal resulting from different properties, is a powerful image reconstruction framework in several applications. This scheme relies…

Machine Learning · Computer Science 2020-08-11 Aniket Pramanik , Hemant Aggarwal , Mathews Jacob

The main focus of this work is a novel framework for the joint reconstruction and segmentation of parallel MRI (PMRI) brain data. We introduce an image domain deep network for calibrationless recovery of undersampled PMRI data. The proposed…

Image and Video Processing · Electrical Eng. & Systems 2021-02-03 Aniket Pramanik , Mathews Jacob

Low-Rank Representation (LRR) highly suffers from discarding the locality information of data points in subspace clustering, as it may not incorporate the data structure nonlinearity and the non-uniform distribution of observations over the…

Machine Learning · Computer Science 2022-03-09 Eysan Mehrbani , Mohammad Hossein Kahaei , Seyed Aliasghar Beheshti

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

We propose a neural network for unsupervised anomaly detection with a novel robust subspace recovery layer (RSR layer). This layer seeks to extract the underlying subspace from a latent representation of the given data and removes outliers…

Machine Learning · Computer Science 2022-01-19 Chieh-Hsin Lai , Dongmian Zou , Gilad Lerman

Learning hash functions/codes for similarity search over multi-view data is attracting increasing attention, where similar hash codes are assigned to the data objects characterizing consistently neighborhood relationship across views.…

Machine Learning · Computer Science 2016-11-18 Lin Wu , Yang Wang

Robust matrix completion (RMC) is a widely used machine learning tool that simultaneously tackles two critical issues in low-rank data analysis: missing data entries and extreme outliers. This paper proposes a novel scalable and learnable…

Machine Learning · Computer Science 2026-05-22 HanQin Cai , Chandra Kundu , Jialin Liu , Wotao Yin

Computational reconstruction plays a vital role in computer vision and computational photography. Most of the conventional optimization and deep learning techniques explore local information for reconstruction. Recently, nonlocal low-rank…

Image and Video Processing · Electrical Eng. & Systems 2023-01-10 Daoyu Li , Hanwen Xu , Miao Cao , Xin Yuan , David J. Brady , Liheng Bian

In this paper, we propose a low-rank representation with symmetric constraint (LRRSC) method for robust subspace clustering. Given a collection of data points approximately drawn from multiple subspaces, the proposed technique can…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Jie Chen , Hua Mao , Yongsheng Sang , Zhang Yi

Despite many modern applications of Deep Neural Networks (DNNs), the large number of parameters in the hidden layers makes them unattractive for deployment on devices with storage capacity constraints. In this paper we propose a Data-Driven…

Machine Learning · Computer Science 2021-07-14 Dimitris Papadimitriou , Swayambhoo Jain

Wisely utilizing the internal and external learning methods is a new challenge in super-resolution problem. To address this issue, we analyze the attributes of two methodologies and find two observations of their recovered details: 1) they…

Computer Vision and Pattern Recognition · Computer Science 2023-02-20 Shuang Wang , Bo Yue , Xuefeng Liang , Peiyuan Ji , Licheng Jiao

We investigate the effect of the dimensionality of the representations learned in Deep Neural Networks (DNNs) on their robustness to input perturbations, both adversarial and random. To achieve low dimensionality of learned representations,…

Machine Learning · Computer Science 2020-02-20 Amartya Sanyal , Varun Kanade , Philip H. S. Torr , Puneet K. Dokania

Low-rank decomposition (LRD) is a state-of-the-art method for visual data reconstruction and modelling. However, it is a very challenging problem when the image data contains significant occlusion, noise, illumination variation, and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chen Chen , Baochang Zhang , Alessio Del Bue , Vittorio Murino

In this work we present Low-rank Deconvolution, a powerful framework for low-level feature-map learning for efficient signal representation with application to signal recovery. Its formulation in multi-linear algebra inherits properties…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 David Reixach

This paper proposes a non-data-driven deep neural network for spectral image recovery problems such as denoising, single hyperspectral image super-resolution, and compressive spectral imaging reconstruction. Unlike previous methods, the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Tatiana Gelvez-Barrera , Jorge Bacca , Henry Arguello

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Super-resolution reconstruction (SRR) is a process aimed at enhancing spatial resolution of images, either from a single observation, based on the learned relation between low and high resolution, or from multiple images presenting the same…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Michal Kawulok , Pawel Benecki , Szymon Piechaczek , Krzysztof Hrynczenko , Daniel Kostrzewa , Jakub Nalepa