In this paper, the problem of bridge consensus is presented and solved. Bridge consensus consists of a network of nodes, some of whom are participating and others are non-participating. The objective is for all the agents to reach average consensus of the participating nodes initial values in a distributed and scalable manner. To do this, the nodes must use the network connections of the non-pa...

Logistic regression learns a parameterized mapping from feature vectors to probability vectors and is for example central to estimating click rates for ads on web pages. The parameter is found by minimizing the logistic loss. However minimizing any convex loss summed over a set of examples is prone to outliers. We define a versatile method for designing non-convex losses that ameliorate the eff...

Geochemical reaction rate laws are often measured using crushed minerals in well-mixed laboratory systems that are designed to eliminate mass transport limitations. Such rate laws are often used directly in reactive transport models to predict the reaction and transport of chemical species in consolidated porous media found in subsurface environments. Due to the inherent heterogeneities of poro...

D aniel Sui has sent me a written version of comments presented by five geographers at a panel on the first law of geography organized by him at the 2003 AAG meeting in New Orleans. The comments seem to fall into two camps: some reject the idea of ‘‘laws’’ in geography, and others feel that my notion has been of some merit. Interestingly, several other laws are cited in the comments; two by Isa...

Because of risk aversion, any sensible investment valuation system should value less projects that contribute more to the aggregate risk, i.e., have a larger income elasticity net benefits. In theory, this is done by adjusting discount rates consumption betas. But in reality, for various reasons (Arrow-Lind and WACC fallacies, market failures), most public private institutions people use rate r...