We present primal-dual decomposition algorithms for convex optimization problems with cost functions f(x) + g(Ax), where f and g have inexpensive proximal operators and A can be decomposed as a sum of two structured matrices. The methods are based on the Douglas–Rachford splitting algorithm applied to various splittings of the primal-dual optimality conditions. We discuss applications to image ...

This report is a survey of self-dual binary codes. We present the fundamental MacWilliams identity and Gleason’s theorem on self-dual binary codes. We also examine the upper bound of minimum weights of self-dual binary codes using the extremal weight enumerator formula. We describe the shadow code of a self-dual code and the restrictions of the weight enumerator of the shadow code. Then using t...

PURPOSE Several isotopes are available for low dose-rate brachytherapy of the prostate. Currently, most implants use a single isotope. However, the use of dual-isotope implants may yield an advantageous combination of characteristics such as half-life and relative biological effectiveness. However, the use of dual-isotope implants complicates treatment planning and quality assurance. Do the ben...

BACKGROUND Turning-while-walking is one of the commonest causes of falls in stroke survivors. It involves cognitive processing and may be challenging when performed concurrently with a cognitive task. Previous studies of dual-tasking involving turning-while-walking in stroke survivors show that the performance of physical tasks is compromised. However, the design of those studies did not addres...

We point out that for two sets of measurements, it can happen that the average of one set is larger than the average of the other set on one scale, but becomes smaller after a non-linear monotone transformation of the individual measurements. We show that the inclusion of error bars is no safeguard against this phenomenon. We give a theorem, however, that limits the amount of “reversal” that ca...

background: the co-existence of under and overnutrition might be influenced by a marked shift in dietary and lifestyle practices of people in developing countries. objective: this study aims to identify the factors associated with the occurrence of a dual form of malnutrition in the same households in a rural district in peninsular malaysia. methods: this study was conducted in two phases. the ...

There are many reasons to take a critical look at the practice's banking relationship(s)--technology advancements, security measures, improvements in available services, recent banking enhancements designed specifically for medical practices, the impact of the financial crisis on bank ratings and stability, changing practice needs, opportunities for operational automation at the practice--and i...

In this paper, we will explain how to perfectly hedge under Heston’s stochastic volatility 17 model with jump-to-default, which is in itself a generalization of the Merton jump-todefault model and a special case of the Heston model with jumps. The hedging instru19 ments we use to build the hedge will be as usual the stock and the bond, but also the Variance Swap (VS) and a Credit Default Swap (...

Proof. Since deterministic mechanisms are just special cases of random mechanisms, Theorem 1 applies: A deterministic mechanism f is strategyproof if and only if it is swap monotonic, upper invariant, and lower invariant. Thus, strategyproofness implies swap monotonicity (i.e., sufficiency in Proposition 5). For necessity, observe that swap monotonicity implies upper and lower invariance for de...