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Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
Random matrices free probability sparsity trigonometric expansions uncertainty principle convex optimization duality in optimization total-variation minimization image reconstruction linear programming
2015/6/17
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal f ∈ CN and a randomly chosen set of frequencies Ω. Is it pos...
Differential Privacy versus Quantitative Information Flow
Differential Privacy Quantitative Information Flow
2011/2/23
Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if th...
Impact of Mistiming on the Achievable Information Rate of Rake Receivers in DS-UWB Systems
Impact of Mistiming Information Rate of Rake Receivers DS-UWB Systems
2011/2/24
In this paper, we investigate the impact of mistiming on the performance of Rake receivers in direct-sequence ultra-wideband (DS-UWB) systems from the perspective of the achievable information rate.
Concentration of the information in data with log-concave distributions
Concentration entropy log-concave distributions
2011/2/28
A concentration property of the functional −log f(X) is demonstrated,when a random vector X has a log-concave density f on Rn.This concentration property implies in particular an extension of th...
The performance of mutual information for mixture of bivariate normal distributions based on robust kernel estimation
Mutual Information Kernel Density Minimum Volume Ellipsoid
2010/9/25
Mutual Information (MI) measures the degree of association between variables in nonlinear model as well as linear models. It can also be used to measure the dependency between variables in mixture dis...
Optimal Joint Scheduling and Resource Allocation in OFDMA Downlink Systems with Imperfect Channel-State Information
Optimal Joint Scheduling Resource Allocation OFDMA Downlink Systems
2010/11/8
In this paper, we address the problem of joint scheduling and resource allocation for the downlink of an orthogonal frequency division multiple access (OFDMA) based wireless network. Since perfect cu...
Information Physics: The New Frontier
entropy information physics lattice measure order poset probability quantification
2010/12/13
At this point in time, two major areas of physics, statistical mechanics and quantum mechanics,
rest on the foundations of probability and entropy. The last century saw several significant
fundament...
Information Capacity of Energy Harvesting Sensor Nodes
Optimal energy management policies energy harvesting sensor networks energy buffer network life time
2010/12/13
Sensor nodes with energy harvesting sources are gaining popularity due to their ability to improve the network life time and are becoming a preferred choice supporting ’green
communication’.
Underlay Cognitive Radio with Full or Partial Channel Quality Information
Underlay Cognitive Radio with Full Partial Channel Quality Information
2010/12/7
Underlay cognitive radios (UCRs) allow a secondary user to enter a primary user’s spectrum through intelligent utilization of multiuser channel quality information (CQI) and sharing of codebook. The a...
Cooperation under Incomplete Information on the Discount Factors
Cooperation Incomplete Information Discount Factors
2011/3/2
I would like to thank my advisor, professor Eilon Solan, for the time, effort and goodwill he invested helping me with my research. I would also like to thank professor Dov Samet and proffesor Ehud Le...
Information denoising and quantization by diffusion reaction model
signal restoration reaction-diffusion model partial differential equations numerical approximation
2009/1/7
We present a new diffusion reaction model for signal denoising
and quantization. We first discuss on classical quantization methods
and present the most popular denoising models. Then we construct o...
Information geometry of the power inverse Gaussian distribution
power inverse Gaussian distribution information geometry ]Kullback divergence geometric structure
2009/1/7
The power inverse Gaussian distribution is a common distri-
bution in reliability analysis and lifetime models. In this paper, we give
the geometric structures of the power inverse Gaussian manifold...
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
Convex functions Jensen's Inequality Entropy Mappings
2008/7/1
Some new inequalities which counterpart Jensen's discrete inequality and improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in...
Generalized Relative Information and Information Inequalities
Relative information Csisz'{a}r's $f-$divergence $chi ^2-$divergence Hellinger's discrimination Relative information of type s Information inequalities
2008/7/1
Generalized Relative Information and Information Inequalities.