Quantum Legacies: Dispatches from an Uncertain World

Policies for an Uncertain World

Defining fitness in an uncertain world

The recently elucidated definition of fitness employed by Fisher in his fundamental theorem of natural selection is combined with reproductive values as appropriately defined in the context of both random environments and continuing fluctuations in the distribution over classes in a class-structured population. We obtain astonishingly simple results, generalisations of the Price Equation and th...

Neural scaling laws for an uncertain world.

Autonomous neural systems must efficiently process information in a wide range of novel environments which may have very different statistical properties. We consider the problem of how to optimally distribute receptors along a 1-dimensional continuum consistent with the following design principles. First, neural representations of the world should obey a neural uncertainty principle-making as ...

Economic Reliability Forecasting in an Uncertain World

Substantial work has applied stochastic techniques to network reliability models. These techniques can estimate risk, variance and uncertainty values. Unfortunately, these models do not address the issues of revenues, return on investment, or the time-value of money. To address these issues, we have developed an Economic Reliability Analysis [ERA] framework at the University of Virginia that fu...

Playing games in an uncertain world

Traditional game theory assumes that the players in the game are aware of the rules of the game. However, in practice, often the players are unaware or have only partial knowledge about the game they are playing. They may also have knowledge that other players have only partial knowledge of the game they are playing, which they can try to exploit. We present a novel mathematical formulation of ...