complexity on Dan MacKinlayhttps://danmackinlay.name/tags/complexity.htmlRecent content in complexity on Dan MacKinlayHugo -- gohugo.ioen-usSat, 09 Apr 2022 15:32:42 +0800This is a simulationhttps://danmackinlay.name/notebook/this_is_a_simulation.htmlSat, 09 Apr 2022 15:32:42 +0800https://danmackinlay.name/notebook/this_is_a_simulation.htmlAre we living in a simulation? Conspiracies as simulation Limits to knowledge Incoming References Bekenstein limits, (quantum) information theory and physics, dreams in the minds of gods etc…
Are we living in a simulation? Scott Aaronson, Your yearly dose of is-the-universe-a-simulation:
[…] to whatever extent we believe the Bekenstein bound […] we believe that in quantum gravity, any bounded physical system (with a short-wavelength cutoff, yada yada) lives in a Hilbert space of a finite number of qubits, perhaps \(~10^69\) qubits per square meter of surface area.Submodular functions, maximizinghttps://danmackinlay.name/notebook/submodular.htmlMon, 09 Jul 2018 09:11:00 +1000https://danmackinlay.name/notebook/submodular.htmlReferences Submodular functions arise in economics of multi-agent games and in various discrete optimization problems that look like problems facing me, but not so much that I actually have anything useful to say. I am mostly making this note so I remember the connection with implicit layers via convex relaxations.
References Balkanski, Eric, and Yaron Singer. 2018a. “Approximation Guarantees for Adaptive Sampling,” 17. ———. 2018b. “The Adaptive Complexity of Maximizing a Submodular Function,” 37.Computational complexityhttps://danmackinlay.name/notebook/computational_complexity.htmlFri, 17 Oct 2014 05:21:09 +0000https://danmackinlay.name/notebook/computational_complexity.html References Not my area, but I should note my favourite “wow, cool” readings somewhere.
NP-complete Problems and Physical Reality Hector Zainil’s various projects What actually would simulating the whole world entail? References Roughgarden, Tim. 2018. “Complexity Theory, Game Theory, and Economics.” arXiv:1801.00734 [Cs, Econ], January.