A deep learning approach to structured signal recovery

A Mousavi, AB Patel… - 2015 53rd annual allerton …, 2015 - ieeexplore.ieee.org
In this paper, we develop a new framework for sensing and recovering structured signals. In
contrast to compressive sensing (CS) systems that employ linear measurements, sparse …

Near-optimal adaptive compressed sensing

ML Malloy, RD Nowak - IEEE Transactions on Information …, 2014 - ieeexplore.ieee.org
This paper proposes a simple adaptive sensing and group testing algorithm for sparse
signal recovery. The algorithm, termed compressive adaptive sense and search (CASS), is …

Low-rank matrix and tensor completion via adaptive sampling

A Krishnamurthy, A Singh - Advances in neural information …, 2013 - proceedings.neurips.cc
We study low rank matrix and tensor completion and propose novel algorithms that employ
adaptive sampling schemes to obtain strong performance guarantees for these problems …

The adaptive complexity of maximizing a submodular function

E Balkanski, Y Singer - Proceedings of the 50th annual ACM SIGACT …, 2018 - dl.acm.org
In this paper we study the adaptive complexity of submodular optimization. Informally, the
adaptive complexity of a problem is the minimal number of sequential rounds required to …

An exponential speedup in parallel running time for submodular maximization without loss in approximation

E Balkanski, A Rubinstein, Y Singer - … of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
In this paper we study the adaptivity of submodular maximization. Adaptivity quantifies the
number of sequential rounds that an algorithm makes when function evaluations can be …

Distilled sensing: Adaptive sampling for sparse detection and estimation

J Haupt, RM Castro, R Nowak - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
Adaptive sampling results in significant improvements in the recovery of sparse signals in
white Gaussian noise. A sequential adaptive sampling-and-refinement procedure called …

On the fundamental limits of adaptive sensing

E Arias-Castro, EJ Candes… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Suppose we can sequentially acquire arbitrary linear measurements of an n-dimensional
vector x resulting in the linear model y= A x+ z, where z represents measurement noise. If …

Efficient algorithms for robust one-bit compressive sensing

L Zhang, J Yi, R ** - international conference on machine …, 2014 - proceedings.mlr.press
While the conventional compressive sensing assumes measurements of infinite precision,
one-bit compressive sensing considers an extreme setting where each measurement is …

Non-monotone submodular maximization in exponentially fewer iterations

E Balkanski, A Breuer, Y Singer - Advances in Neural …, 2018 - proceedings.neurips.cc
In this paper we consider parallelization for applications whose objective can be expressed
as maximizing a non-monotone submodular function under a cardinality constraint. Our …

Sample complexity for 1-bit compressed sensing and sparse classification

A Gupta, R Nowak, B Recht - 2010 IEEE International …, 2010 - ieeexplore.ieee.org
This paper considers the problem of identifying the support set of a high-dimensional sparse
vector, from noise-corrupted 1-bit measurements. We present passive and adaptive …