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This paper concerns dictionary learning, i.e., sparse coding, a fundamental representation learning problem. We show that a subgradient descent algorithm, with random initialization, can provably recover orthogonal dictionaries on a natural…

Machine Learning · Computer Science 2019-07-02 Yu Bai , Qijia Jiang , Ju Sun

In this work, we propose a novel information theoretic framework for dictionary learning (DL) and sparse coding (SC) on a statistical manifold (the manifold of probability distributions). Unlike the traditional DL and SC framework, our new…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Rudrasis Chakraborty , Monami Banerjee , Victoria Crawford , Baba C. Vemuri

Learning dictionaries suitable for sparse coding instead of using engineered bases has proven effective in a variety of image processing tasks. This paper studies the optimization of dictionaries on image data where the representation is…

Machine Learning · Computer Science 2016-04-19 Markus Thom , Matthias Rapp , Günther Palm

The sparsity of natural signals and images in a transform domain or dictionary has been extensively exploited in several applications such as compression, denoising and inverse problems. More recently, data-driven adaptation of synthesis…

Machine Learning · Computer Science 2017-04-24 Saiprasad Ravishankar , Raj Rao Nadakuditi , Jeffrey A. Fessler

In this paper, we propose a supervised dictionary learning algorithm that aims to preserve the local geometry in both dimensions of the data. A graph-based regularization explicitly takes into account the local manifold structure of the…

Machine Learning · Computer Science 2018-06-15 Yael Yankelevsky , Michael Elad

Compressed Sensing (CS) takes advantage of signal sparsity or compressibility and allows superb signal reconstruction from relatively few measurements. Based on CS theory, a suitable dictionary for sparse representation of the signal is…

Computer Vision and Pattern Recognition · Computer Science 2014-02-04 Jian Cheng , Tianzi Jiang , Rachid Deriche , Dinggang Shen , Pew-Thian Yap

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

Machine Learning · Computer Science 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

Seismic data inevitably suffers from random noise and missing traces in field acquisition. This limits the utilization of seismic data for subsequent imaging or inversion applications. Recently, dictionary learning has gained remarkable…

Geophysics · Physics 2024-11-12 Murad Almadani , Umair bin Waheed , Mudassir Masood , Yangkang Chen

Parameter-efficient fine-tuning (PEFT) is a scalable approach for adapting large speech foundation models to new domains. While methods such as LoRA and its state-of-the-art variants reduce adaptation costs, they typically allocate…

Sound · Computer Science 2026-01-21 Pu Wang , Shinji Watanabe , Hugo Van hamme

Real--time and accurate construction of regional sound speed profiles (SSP) is important for building underwater positioning, navigation, and timing (PNT) systems as it greatly affect the signal propagation modes such as trajectory. In this…

Signal Processing · Electrical Eng. & Systems 2025-03-31 Wei Huang , Jixuan Zhou , Fan Gao , Jiajun Lu , Sijia Li , Pengfei Wu , Junting Wang , Hao Zhang , Tianhe Xu

Recent years, analysis dictionary learning (ADL) and its applications for classification have been well developed, due to its flexible projective ability and low classification complexity. With the learned analysis dictionary, test samples…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Kun Jiang , Zhaoli Liu , Zheng Liu , Qindong Sun

In this paper we consider the dictionary learning problem for sparse representation. We first show that this problem is NP-hard by polynomial time reduction of the densest cut problem. Then, using successive convex approximation strategies,…

Machine Learning · Computer Science 2015-11-06 Meisam Razaviyayn , Hung-Wei Tseng , Zhi-Quan Luo

Speed-of-sound (SoS) is an emerging ultrasound contrast modality, where pulse-echo techniques using conventional transducers offer multiple benefits. For estimating tissue SoS distributions, spatial domain reconstruction from relative…

Image and Video Processing · Electrical Eng. & Systems 2023-09-04 Can Deniz Bezek , Maxim Haas , Richard Rau , Orcun Goksel

Learned Sparse Retrieval (LSR) such as SPLADE has growing interest for effective semantic 1st stage matching while enjoying the efficiency of inverted indices. A recent work on learning SPLADE models with expanded vocabularies (ESPLADE) was…

Information Retrieval · Computer Science 2026-04-21 Hiun Kim , Tae Kwan Lee , Taeryun Won

We develop a dictionary learning algorithm by minimizing the $\ell_1$ distortion metric on the data term, which is known to be robust for non-Gaussian noise contamination. The proposed algorithm exploits the idea of iterative minimization…

Computer Vision and Pattern Recognition · Computer Science 2015-03-04 Subhadip Mukherjee , Rupam Basu , Chandra Sekhar Seelamantula

Self-supervised learning (SSL)-based speech models are extensively used for full-stack speech processing. However, it has been observed that improving SSL-based speech representations using unlabeled speech for content-related tasks is…

Computation and Language · Computer Science 2024-06-14 Amit Meghanani , Thomas Hain

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

Machine Learning · Statistics 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

Dictionary learning is a cutting-edge area in imaging processing, that has recently led to state-of-the-art results in many signal processing tasks. The idea is to conduct a linear decomposition of a signal using a few atoms of a learned…

Machine Learning · Statistics 2016-05-26 Simeng Qu , Xiao Wang

Many techniques in computer vision, machine learning, and statistics rely on the fact that a signal of interest admits a sparse representation over some dictionary. Dictionaries are either available analytically, or can be learned from a…

Computer Vision and Pattern Recognition · Computer Science 2013-03-22 Simon Hawe , Matthias Seibert , Martin Kleinsteuber

We study in this paper the improvement of one-class support vector machines (OC-SVM) through sparse representation techniques for unsupervised anomaly detection. As Dictionary Learning (DL) became recently a common analysis technique that…

Machine Learning · Computer Science 2024-04-08 Paul Irofti , Iulian-Andrei Hîji , Andrei Pătraşcu , Nicolae Cleju