185 citations · 1.7k across the 78 of their papers we have counts for
6 papers · 1 filter
Noisy Deductive Reasoning: How Humans Construct Math, and How Math Constructs Universes
David H. Wolpert, David Kinney
We present a computational model of mathematical reasoning according to which mathematics is a fundamentally stochastic process. That is, on our model, whether or not a given formu…
Stochastic thermodynamics and fluctuation theorems for non-linear systems
Jan Korbel, David H. Wolpert
We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distributio…
What is important about the No Free Lunch theorems?
David H. Wolpert
The No Free Lunch theorems prove that under a uniform distribution over induction problems (search problems or learning problems), all induction algorithms perform equally. As I di…
Strengthened second law for multi-dimensional systems coupled to multiple thermodynamic reservoirs
David H. Wolpert
The second law of thermodynamics can be formulated as a restriction on the evolution of the entropy of any system undergoing Markovian dynamics. Here I show that this form of the s…
Fluctuation theorems for multiple co-evolving systems
David H. Wolpert
All previously derived thermodynamic fluctuation theorems (FTs) that concern multiple co-evolving systems have required that each system can only change its state during an associa…
Minimal entropy production due to constraints on rate matrix dependencies in multipartite processes
David H Wolpert
I consider multipartite processes in which there are constraints on each subsystem's rate matrix, restricting which other subsystems can directly affect its dynamics. I derive a st…