A deep learning approach to structured signal recovery
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 …
contrast to compressive sensing (CS) systems that employ linear measurements, sparse …
Near-optimal adaptive compressed sensing
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 …
signal recovery. The algorithm, termed compressive adaptive sense and search (CASS), is …
Low-rank matrix and tensor completion via adaptive sampling
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 …
adaptive sampling schemes to obtain strong performance guarantees for these problems …
The adaptive complexity of maximizing a submodular function
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 …
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
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 …
number of sequential rounds that an algorithm makes when function evaluations can be …
Distilled sensing: Adaptive sampling for sparse detection and estimation
Adaptive sampling results in significant improvements in the recovery of sparse signals in
white Gaussian noise. A sequential adaptive sampling-and-refinement procedure called …
white Gaussian noise. A sequential adaptive sampling-and-refinement procedure called …
On the fundamental limits of adaptive sensing
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 …
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
While the conventional compressive sensing assumes measurements of infinite precision,
one-bit compressive sensing considers an extreme setting where each measurement is …
one-bit compressive sensing considers an extreme setting where each measurement is …
Non-monotone submodular maximization in exponentially fewer iterations
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 …
as maximizing a non-monotone submodular function under a cardinality constraint. Our …
Sample complexity for 1-bit compressed sensing and sparse classification
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 …
vector, from noise-corrupted 1-bit measurements. We present passive and adaptive …