Publications de Mahdi Cheraghchi Bashi Astaneh

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

n

items into different pools. Each pool is then tested and defective items are identified. A fundamental question involves minimizing the number of pools required to identify at most

d

d ...

2012

Invertible Extractors and Wiretap Protocols

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

A wiretap protocol is a pair of randomized encoding and decoding functions such that knowledge of a bounded fraction of the encoding of a message reveals essentially no information about the message, while knowledge of the entire encoding reveals the messa ...

2012

Group Testing with Probabilistic Tests: Theory, Design and Application

Martin Vetterli, Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Ali Hormati

Identification of defective members of large populations has been widely studied in the statistics community under the name of group testing. It involves grouping subsets of items into different pools and detecting defective members based on the set of tes ...

Institute of Electrical and Electronics Engineers2011

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

n

items into different pools and identifying defective items based on tests obtained for each pool. Motivated by applications in network tomography, sensor networks and infection propagati ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Improved Constructions for Non-adaptive Threshold Group Testing

Mahdi Cheraghchi Bashi Astaneh

The basic goal in combinatorial group testing is to identify a set of up to d defective items within a large population of size n >> d using a pooling strategy. Namely, the items can be grouped together in pools, and a single measurement would reveal wheth ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

Applications of Derandomization Theory in Coding

Mahdi Cheraghchi Bashi Astaneh

Randomized techniques play a fundamental role in theoretical computer science and discrete mathematics, in particular for the design of efficient algorithms and construction of combinatorial objects. The basic goal in derandomization theory is to eliminate ...

EPFL2010

Bit Precision Analysis for Compressed Sensing

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

This paper studies the stability of some reconstruction algorithms for compressed sensing in terms of the bit precision. Considering the fact that practical digital systems deal with discretized signals, we motivate the importance of the total number of ac ...

2009

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials over a sufficiently large finite field, produces a common zero of the polynom ...

2009

Capacity Achieving Codes from Randomness Conductors

Mahdi Cheraghchi Bashi Astaneh

We give a general framework for construction of small ensembles of capacity achieving linear codes for a wide range of (not necessarily memoryless) discrete symmetric channels, and in particular, the binary erasure and symmetric channels. The main tool use ...

2009

Compressed Sensing with Probabilistic Measurements: A Group Testing Solution

Martin Vetterli, Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Ali Hormati

Detection of defective members of large populations has been widely studied in the statistics community under the name ``group testing'', a problem which dates back to World War~II when it was suggested for syphilis screening. There the main interest is to ...

2009

Noise-Resilient Group Testing: Limitations and Constructions

Mahdi Cheraghchi Bashi Astaneh

We study combinatorial group testing schemes for learning

d

-sparse boolean vectors using highly unreliable disjunctive measurements. We consider an adversarial noise model that only limits the number of false observations, and show that any noise-resilie ...

Springer2009

Invertible Extractors and Wiretap Protocols

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

A wiretap protocol is a pair of randomized encoding and decoding functions such that knowledge of a bounded fraction of the encoding of a message reveals essentially no information about the message, while knowledge of the entire encoding reveals the messa ...

2009

Computational Hardness and Explicit Constructions of Error Correcting Codes

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We outline a procedure for using pseudorandom generators to construct binary codes with good properties, assuming the existence of sufficiently hard functions. Specifically, we give a polynomial time algorithm, which for every integers

n

and

k

, constru ...

2006