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It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

计算机视觉与模式识别 · 计算机科学 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

Astronomical images suffer a constant presence of multiple defects that are consequences of the intrinsic properties of the acquisition equipments, and atmospheric conditions. One of the most frequent defects in astronomical imaging is the…

天体物理仪器与方法 · 物理学 2015-06-15 Simon Beckouche , Jean-Luc Starck , Jalal Fadili

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

Existing work in continual learning (CL) focuses on mitigating catastrophic forgetting, i.e., model performance deterioration on past tasks when learning a new task. However, the training efficiency of a CL system is under-investigated,…

机器学习 · 计算机科学 2022-09-21 Zifeng Wang , Zheng Zhan , Yifan Gong , Geng Yuan , Wei Niu , Tong Jian , Bin Ren , Stratis Ioannidis , Yanzhi Wang , Jennifer Dy

This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering,…

计算机视觉与模式识别 · 计算机科学 2013-08-07 H. Lakshman , W. -Q Lim , H. Schwarz , D. Marpe , G. Kutyniok , T. Wiegand

The iterations of many sparse estimation algorithms are comprised of a fixed linear filter cascaded with a thresholding nonlinearity, which collectively resemble a typical neural network layer. Consequently, a lengthy sequence of algorithm…

机器学习 · 计算机科学 2016-05-11 Bo Xin , Yizhou Wang , Wen Gao , David Wipf

Learned sparse retrieval (LSR) is a family of first-stage retrieval methods that are trained to generate sparse lexical representations of queries and documents for use with an inverted index. Many LSR methods have been recently introduced,…

信息检索 · 计算机科学 2023-03-28 Thong Nguyen , Sean MacAvaney , Andrew Yates

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

信息论 · 计算机科学 2013-09-06 Christoph Studer , Richard G. Baraniuk

In conventional sparse representations based dictionary learning algorithms, initial dictionaries are generally assumed to be proper representatives of the system at hand. However, this may not be the case, especially in some systems…

计算机视觉与模式识别 · 计算机科学 2017-01-17 Yigit Oktar , Mehmet Turkan

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

信号处理 · 电气工程与系统科学 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

This paper seeks to combine dictionary learning and hierarchical image representation in a principled way. To make dictionary atoms capturing additional information from extended receptive fields and attain improved descriptive capacity, we…

计算机视觉与模式识别 · 计算机科学 2019-11-11 Tong Zhang , Fatih Porikli

This work presents an approach for image reconstruction in clinical low-dose tomography that combines principles from sparse signal processing with ideas from deep learning. First, we describe sparse signal representation in terms of…

机器学习 · 统计学 2023-11-27 Jevgenija Rudzusika , Thomas Koehler , Ozan Öktem

Dictionary Learning (DL) is one of the leading sparsity promoting techniques in the context of image classification, where the "dictionary" matrix D of images and the sparse matrix X are determined so as to represent a redundant image…

数值分析 · 数学 2022-03-10 Domitilla Brandoni , Margherita Porcelli , Valeria Simoncini

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…

信息检索 · 计算机科学 2026-04-21 Hiun Kim , Tae Kwan Lee , Taeryun Won

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

数值分析 · 数学 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song

State-of-the-art learned reconstruction methods often rely on black-box modules that, despite their strong performance, raise questions about their interpretability and robustness. Here, we build on a recently proposed image reconstruction…

图像与视频处理 · 电气工程与系统科学 2026-05-19 Joshua Schulz , David Schote , Christoph Kolbitsch , Kostas Papafitsoros , Andreas Kofler

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…

机器学习 · 统计学 2016-05-26 Simeng Qu , Xiao Wang

Seismic data quality is vital to geophysical applications, so methods of data recovery, including denoising and interpolation, are common initial steps in the seismic data processing flow. We present a method to perform simultaneous…

地球物理 · 物理学 2017-06-07 Lingchen Zhu , Entao Liu , James H. McClellan

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…

机器学习 · 计算机科学 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

Block-sparse regularization is already well-known in active thermal imaging and is used for multiple measurement based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Samim Ahmadi , Jan Christian Hauffen , Linh Kästner , Peter Jung , Giuseppe Caire , Mathias Ziegler