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The field of control provides the principles and methods used to design physical and information systems that maintain desirable performance by sensing and automatically adapting to changes in the env...
Geometric Programming Duals of Channel Capacity and Rate Distortion
Channel capacity convex optimization duality
2015/7/10
We show that the Lagrange dual problems of the channel capacity problem with input cost and the rate distortion problem are simple geometric programs. Upper bounds on channel capacity and lower bounds...
Throughput-Centric Routing Algorithm Design
Obliviousrouting interconnection networks multicommodityfl ows
2015/7/10
The increasing application space of interconnection networks now encompasses several applications, such as packet routing and I/O interconnect, where the throughput of a routing algorithm, not just it...
Designing Fast Distributed Iterations via Semidefinite Programming
Designing Fas Distributed Iterations Semidefinite Programming
2015/7/10
The general setting we consider involves a process, iteration, or method in which the computation or communication at each step is local, determined by a given graph, and involves some parameters or c...
Rank Minimization and Applications in System Theory
Rank Minimization Applications System Theory
2015/7/10
In this tutorial paper, we consider the problem of minimizing the rank of a matrix over a convex set. The Rank Minimization Problem (RMP) arises in diverse areas such as control, system identification...
This note considers an n-letter alphabet in which the ith letter is accessed with probability p_i. The problem is to design efficient algorithm for constructing near-optimal, depth-constrained Huffman...
Geometric Programming and its Applications to EDA Problems
Geometric Programming Applications EDA Problems
2015/7/10
Geometric programming (GP) describes a type of optimization problem that has been known since the 1970s, but recently has attracted more attention for several reasons. The first is the development of ...
A Scheme for Robust Distributed Sensor Fusion Based on Average Consensus
Scheme Robust Distributed Sensor Fusion Based Average Consensus
2015/7/10
We consider a network of distributed sensors, where each sensor takes a linear measurement of some unknown parameters, corrupted by independent Gaussian noises. We propose a simple distributed iterati...
Least-Squares Covariance Matrix Adjustment
matrix nearness problems covariance matrix least-squares
2015/7/10
We consider the problem of finding the smallest adjustment to a given symmetric n by n matrix, as measured by the Euclidean or Frobenius norm, so that it satisfies some given linear equalities and ine...
Robust Minimum Variance Beamforming
Ellipsoidal calculus Hadamard product robust beamforming second-order cone programming
2015/7/10
This paper introduces an extension of minimum variance beamforming, also known as Capon's method, that explicitly takes into account variation or uncertainty in the assumed array response. Sources of ...
Tractable Fitting with Convex Polynomials via Sum-of-Squares
Tractable Fitting Convex Polynomials Sum-of-Squares
2015/7/10
We consider the problem of fitting given data (u_1,y_1),...,(u_m,y_m), where u_i in {bf R}^n and y_i in {bf R}, with a convex polynomial f$. A technique to solve this problem using sum of squares pol...
An Interior-Point Method for Large-Scale l1-Regularized Logistic Regression
logistic regression feature selection regularization regularization path
2015/7/10
Logistic regression with l1 regularization has been proposed as a promising method for feature selection in classification problems. In this paper we describe an efficient interior-point method for so...
Beamforming with Uncertain Weights
Regularization robust beamforming robust optimization robust sensor array signal processing
2015/7/10
In this letter, we show that worst-case robust beamforming, with uncertain weights subject to multiplicative variations, can be cast as a convex optimization problem. We interpret this robust beamform...
Dynamic Network Utility Maximization with Delivery Contracts
Dynamic Network Utility Maximization Delivery Contracts
2015/7/10
We consider a multi-period variation of the network utility maximization problem that includes delivery constraints. We allow the flow utilities, link capacities and routing matrices to vary over time...
A Tractable Method for Robust Downlink Beamforming in Wireless Communications
Tractable Method Robust Downlink Beamforming Wireless Communications
2015/7/10
In downlink beamforming in a multiple-input multiple-output (MIMO) wireless communication system, we design beamformers that minimize the power subject to guaranteeing given signal-to-interference noi...