Conspiracy and the Fantasy Defense: The Strange Case of the Cannibal Cop

In the notorious Cannibal Cop case, New York police officer Gilberto Valle was accused of conspiring to kidnap, kill, and eat various women of his acquaintance. Valle claimed a fantasy defense, arguing that his expression represented not conspiracy agreement, but fantasy role-play. His conviction and subsequent acquittal raised questions about the freedom of speech, thoughtcrime, and the nature of conspiracy law. Because the essence of conspiracy is agreement, it falls into the category of crimes in which pure speech is the actus reus of the offense. This Note argues that as a result, conspiracy cases in which the fantasy defense is implicated pose special due-process and First Amendment dangers, and concludes that these dangers can be mitigated by a strengthened overt-act requirement

Process reconstruction from incomplete and/or inconsistent data

We analyze how an action of a qubit channel (map) can be estimated from the measured data that are incomplete or even inconsistent. That is, we consider situations when measurement statistics is insufficient to determine consistent probability distributions. As a consequence either the estimation (reconstruction) of the channel completely fails or it results in an unphysical channel (i.e., the corresponding map is not completely positive). We present a regularization procedure that allows us to derive physically reasonable estimates (approximations) of quantum channels. We illustrate our procedure on specific examples and we show that the procedure can be also used for a derivation of optimal approximations of operations that are forbidden by the laws of quantum mechanics (e.g., the universal NOT gate).Comment: 9pages, 5 figure

On limited-memory quasi-Newton methods for minimizing a quadratic function

The main focus in this paper is exact linesearch methods for minimizing a quadratic function whose Hessian is positive definite. We give two classes of limited-memory quasi-Newton Hessian approximations that generate search directions parallel to those of the method of preconditioned conjugate gradients, and hence give finite termination on quadratic optimization problems. The Hessian approximations are described by a novel compact representation which provides a dynamical framework. We also discuss possible extensions of these classes and show their behavior on randomly generated quadratic optimization problems. The methods behave numerically similar to L-BFGS. Inclusion of information from the first iteration in the limited-memory Hessian approximation and L-BFGS significantly reduces the effects of round-off errors on the considered problems. In addition, we give our compact representation of the Hessian approximations in the full Broyden class for the general unconstrained optimization problem. This representation consists of explicit matrices and gradients only as vector components

A sum-of-sinusoids based simulation model for the joint shadowing process in urban peer-to-peer radio channels

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Part-Time Unemployment and Optimal Unemployment Insurance

A significant fraction of the labor force consists of employed workers who are part-time unemployed (underemployed) in the sense that they are unable to work as much as they prefer. This paper develops a search and matching model to study the design of optimal unemployment insurance in an economy with unemployment as well as part-time unemployment. Part-time unemployment provides income insurance and serves as a stepping stone to full-time jobs. Unemployment benefits for part-timers increase the outflow from unemployment to part-time work but reduce the outflow from part-time work to fulltime employment. We examine the optimal structure of benefits for unemployed and underemployed workers. The results indicate non-negligible welfare gains associated with time limits for unemployment benefits as well as for part-time benefits. The welfare gains from optimal UI are larger when wages are fixed than when they are flexible.job search, part-time unemployment, unemployment insurance