Dictionary Learning

152 papers with code • 0 benchmarks • 6 datasets

Dictionary Learning is an important problem in multiple areas, ranging from computational neuroscience, machine learning, to computer vision and image processing. The general goal is to find a good basis for given data. More formally, in the Dictionary Learning problem, also known as sparse coding, we are given samples of a random vector $y\in\mathbb{R}^n$, of the form $y=Ax$ where $A$ is some unknown matrix in $\mathbb{R}^{n×m}$, called dictionary, and $x$ is sampled from an unknown distribution over sparse vectors. The goal is to approximately recover the dictionary $A$.

Source: Polynomial-time tensor decompositions with sum-of-squares

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Latest papers with no code

Dynamic fault detection and diagnosis of industrial alkaline water electrolyzer process with variational Bayesian dictionary learning

no code yet • 15 Apr 2024

A novel robust dynamic variational Bayesian dictionary learning (RDVDL) monitoring approach is proposed to improve the reliability and safety of AWE operation.

Multi-Branch Generative Models for Multichannel Imaging with an Application to PET/CT Joint Reconstruction

no code yet • 12 Apr 2024

This paper presents a proof-of-concept approach for learned synergistic reconstruction of medical images using multi-branch generative models.

Decentralized Collaborative Learning Framework with External Privacy Leakage Analysis

no code yet • 1 Apr 2024

This paper presents two methodological advancements in decentralized multi-task learning under privacy constraints, aiming to pave the way for future developments in next-generation Blockchain platforms.

Image Deraining via Self-supervised Reinforcement Learning

no code yet • 27 Mar 2024

The work aims to recover rain images by removing rain streaks via Self-supervised Reinforcement Learning (RL) for image deraining (SRL-Derain).

Parametric PDE Control with Deep Reinforcement Learning and Differentiable L0-Sparse Polynomial Policies

no code yet • 22 Mar 2024

Optimal control of parametric partial differential equations (PDEs) is crucial in many applications in engineering and science.

Dictionary Learning Improves Patch-Free Circuit Discovery in Mechanistic Interpretability: A Case Study on Othello-GPT

no code yet • 19 Feb 2024

Sparse dictionary learning has been a rapidly growing technique in mechanistic interpretability to attack superposition and extract more human-understandable features from model activations.

An SVD-free Approach to Nonlinear Dictionary Learning based on RVFL

no code yet • 6 Feb 2024

The proposed RVFL-based nonlinear Dictionary Learning (RVFLDL) learns a dictionary as a sparse-to-dense feature map from nonlinear sparse coefficients to the dense input features.

Learning a Gaussian Mixture for Sparsity Regularization in Inverse Problems

no code yet • 29 Jan 2024

In inverse problems, it is widely recognized that the incorporation of a sparsity prior yields a regularization effect on the solution.

Convergence and complexity of block majorization-minimization for constrained block-Riemannian optimization

no code yet • 16 Dec 2023

Block majorization-minimization (BMM) is a simple iterative algorithm for nonconvex optimization that sequentially minimizes a majorizing surrogate of the objective function in each block coordinate while the other block coordinates are held fixed.

Learning Interpretable Queries for Explainable Image Classification with Information Pursuit

no code yet • 16 Dec 2023

To solve the optimization problem, we propose a new query dictionary learning algorithm inspired by classical sparse dictionary learning.