Publications by Jayakrishnan Unnikrishnan

On characterizing protein spatial clusters with correlation approaches

Aleksandra Radenovic, Jayakrishnan Unnikrishnan, Arun Shivanandan

Spatial aggregation of proteins might have functional importance, e.g., in signaling, and nano-imaging can be used to study them. Such studies require accurate characterization of clusters based on noisy data. A set of spatial correlation approaches free o ...

Nature Research2016

Asymptotically Optimal Matching of Multiple Sequences to Source Distributions and Training Sequences

Jayakrishnan Unnikrishnan

Consider a finite set of sources, each producing independent identically distributed observations that follow a unique probability distribution on a finite alphabet. We study the problem of matching a finite set of observed sequences to the set of sources ...

Institute of Electrical and Electronics Engineers2015

On Minimal Trajectories for Mobile Sampling of Bandlimited Fields

Martin Vetterli, Jayakrishnan Unnikrishnan

We study the design of sampling trajectories for stable sampling and the reconstruction of bandlimited spatial fields using mobile sensors. The spectrum is assumed to be a symmetric convex set. As a performance metric we use the path density of the set of ...

Elsevier2015

Accounting for Limited Detection Efficiency and Localization Precision in Cluster Analysis in Single Molecule Localization Microscopy

Aleksandra Radenovic, Jayakrishnan Unnikrishnan, Arun Shivanandan

Single Molecule Localization Microscopy techniques like PhotoActivated Localization Microscopy, with their sub-diffraction limit spatial resolution, have been popularly used to characterize the spatial organization of membrane proteins, by means of quantit ...

Public Library of Science2015

Privacy-Preserving Function Computation by Exploitation of Friendships in Social Networks

Patrick Thiran, Martin Vetterli, Farid Movahedi Naini, Jayakrishnan Unnikrishnan

We study the problem of privacy-preserving computation of functions of data that belong to users in a social network under the assumption that users are willing to share their private data with trusted friends in the network. We demonstrate that such trust ...

Ieee2014

Sampling 2-D Signals on a Union of Lattices that Intersect on a Lattice

Jayakrishnan Unnikrishnan

This paper presents new sufficient conditions under which a field (or image) can be perfectly reconstructed from its samples on a union of two lattices that share a common coarse lattice. In particular, if samples taken on the first lattice can be used to ...

Ieee2014

Sampling and Reconstruction of Spatial Fields using Mobile Sensors

Martin Vetterli, Jayakrishnan Unnikrishnan

Spatial sampling is traditionally studied in a static setting where static sensors scattered around space take measurements of the spatial field at their locations. In this paper we study the emerging paradigm of sampling and reconstructing spatial fields ...

Institute of Electrical and Electronics Engineers2013

On Optimal Sampling Trajectories for Mobile Sensing

Martin Vetterli, Jayakrishnan Unnikrishnan

We study the design of sampling trajectories for stable sampling and reconstruction of bandlimited spatial fields using mobile sensors. As a performance metric we use the path density of a set of sampling trajectories, defined as the total distance travele ...

2013

De-anonymizing Private Data by Matching Statistics

Farid Movahedi Naini, Jayakrishnan Unnikrishnan

2013

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Martin Vetterli, Jayakrishnan Unnikrishnan

Consider the task of sampling and reconstructing a bandlimited spatial field in

\Re^2

using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to incre ...

Institute of Electrical and Electronics Engineers2013

Monitoring network structure and content quality of signal processing articles on wikipedia

Jayakrishnan Unnikrishnan, Tao-Chun Lee

Wikipedia has become a widely-used resource on signal processing. However, the freelance-editing model of Wikipedia makes it challenging to maintain a high content quality. We develop techniques to monitor the network structure and content quality of Signa ...

2013

Sampling and reconstructing spatial fields using mobile sensors

Martin Vetterli, Jayakrishnan Unnikrishnan

The classical approach to sampling time-invariant spatial fields uses static sensors distributed over space. We study a new approach involving mobile sensors that move through space measuring the field values along their paths. A single moving sensor can t ...

Ieee2012

On Optimal Two Sample Homogeneity Tests for Finite Alphabets

Jayakrishnan Unnikrishnan

Suppose we are given two independent strings of data from a known finite alphabet. We are interested in testing the null hypothesis that both the strings were drawn from the same distribution, assuming that the samples within each string are mutually indep ...

Ieee2012

On Sampling a High-Dimensional Bandlimited Field on a Union of Shifted Lattices

Martin Vetterli, Jayakrishnan Unnikrishnan

We study the problem of sampling a high-dimensional bandlimited field on a union of shifted lattices under certain assumptions motivated by some practical sampling applications. Under these assumptions, we show that simple necessary and sufficient conditio ...

Ieee2012

Model-fitting in the presence of outliers

Jayakrishnan Unnikrishnan

We study the problem of parametric model-fitting in a finite alphabet setting. We characterize the weak convergence of the goodness-of-fit statistic with respect to an exponential family when the observations are drawn from some alternate distribution. We ...

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