Learning-based compressive subsampling
The problem of recovering a structured signal x∈ C p from a set of dimensionality-reduced
linear measurements b= Ax arises in a variety of applications, such as medical imaging …
linear measurements b= Ax arises in a variety of applications, such as medical imaging …
Learning a compressed sensing measurement matrix via gradient unrolling
Linear encoding of sparse vectors is widely popular, but is commonly data-independent–
missing any possible extra (but a priori unknown) structure beyond sparsity. In this paper we …
missing any possible extra (but a priori unknown) structure beyond sparsity. In this paper we …
Numax: A convex approach for learning near-isometric linear embeddings
We propose a novel framework for the deterministic construction of linear, near-isometric
embeddings of a finite set of data points. Given a set of training points X⊂\BBR N, we …
embeddings of a finite set of data points. Given a set of training points X⊂\BBR N, we …
A data-driven and distributed approach to sparse signal representation and recovery
In this paper, we focus on two challenges which offset the promise of sparse signal
representation, sensing, and recovery. First, real-world signals can seldom be described as …
representation, sensing, and recovery. First, real-world signals can seldom be described as …
Learning a compressive sensing matrix with structural constraints via maximum mean discrepancy optimization
M Koller, W Utschick - Signal Processing, 2022 - Elsevier
We introduce a learning-based algorithm to obtain a measurement matrix for compressive
sensing related recovery problems. The focus lies on matrices with a constant modulus …
sensing related recovery problems. The focus lies on matrices with a constant modulus …
Representation and coding of signal geometry
PT Boufounos, S Rane… - Information and Inference …, 2017 - academic.oup.com
Approaches to signal representation and coding theory have traditionally focused on how to
best represent signals using parsimonious representations that incur the lowest possible …
best represent signals using parsimonious representations that incur the lowest possible …
[PDF][PDF] The sparse recovery autoencoder
Linear encoding of sparse vectors is widely popular, but is most commonly dataindependent–
missing any possible extra (but a-priori unknown) structure beyond sparsity. In this paper we …
missing any possible extra (but a-priori unknown) structure beyond sparsity. In this paper we …
Nearly optimal linear embeddings into very low dimensions
We propose algorithms for constructing linear embeddings of a finite dataset V⊂ ℝ d into a k-
dimensional subspace with provable, nearly optimal distortions. First, we propose an …
dimensional subspace with provable, nearly optimal distortions. First, we propose an …
Dimensionality reduction of visual features for efficient retrieval and classification
Visual retrieval and classification are of growing importance for a number of applications,
including surveillance, automotive, as well as web and mobile search. To facilitate these …
including surveillance, automotive, as well as web and mobile search. To facilitate these …
Metric learning with rank and sparsity constraints
Choosing a distance preserving measure or metric is fundamental to many signal
processing algorithms, such as k-means, nearest neighbor searches, hashing, and …
processing algorithms, such as k-means, nearest neighbor searches, hashing, and …