6 papers
The Impossibility Region for Detecting Sparse Mixtures using the Higher Criticism
David L. Donoho, Alon Kipnis
Consider a multiple hypothesis testing setting involving rare/weak effects: relatively few tests, out of possibly many, deviate from their null hypothesis behavior. Summarizing the…
Lossy Compression of Decimated Gaussian Random Walks
Georgia Murray, Alon Kipnis, Andrea J. Goldsmith
We consider the problem of estimating a Gaussian random walk from a lossy compression of its decimated version. Hence, the encoder operates on the decimated random walk, and the de…
Mean Estimation from Adaptive One-bit Measurements
Alon Kipnis, John C. Duchi
We consider the problem of estimating the mean of a normal distribution under the following constraint: the estimator can access only a single bit from each sample from this distri…
Compress-and-Estimate Source Coding for a Vector Gaussian Source
Ruiyang Song, Stefano Rini, Alon Kipnis +1
We consider the remote vector source coding problem in which a vector Gaussian source is to be estimated from noisy linear measurements. For this problem, we derive the performance…
Optimal Rate Allocation in Mismatched Multiterminal Source Coding
Ruiyang Song, Stefano Rini, Alon Kipnis +1
We consider a multiterminal source coding problem in which a source is estimated at a central processing unit from lossy-compressed remote observations. Each lossy-encoded observat…
Indirect Rate-Distortion Function of a Binary i.i.d Source
Alon Kipnis, Stefano Rini, Andrea J. Goldsmith
The indirect source-coding problem in which a Bernoulli process is compressed in a lossy manner from its noisy observations is considered. These noisy observations are obtained by…