Suppose that we wish to estimate a vector x ∈ C<sup>n</sup> from a small number of noisy linear measurements of the form y = Ax + z, where z represents measurement noise. When the vector x is… (More)

Suppose that we wish to estimate a vector x from a set of binary paired comparisons of the form “x is closer to p than to q” for various choices of vectors p and q. The problem of… (More)

Suppose that we are able to obtain binary paired comparisons of the form “x is closer to p than to q” for various choices of vectors p and q. Such observations arise in a variety of… (More)

Suppose that we wish to estimate a vector x from a set of binary paired comparisons of the form “x is closer to p than to q” for various choices of vectors p and q. The problem of estimating x from… (More)

Mass spectrometry is one of the primary methods for chemical analysis and serves as a fundamental tool in numerous scientific disciplines. In this paper we consider the design of time-of-flight mass… (More)