On Tuesday, November 09, 2021, at 9:06 AM, James Bowery wrote: > First of all, in the word "value" you finally touch on the relevant > characteristic of lossy compression that brings them into confluence with > sensors and measurement: the value function that drives both evolution and > AGI's decisions (aka "utility function") is an open parameter in AGI > formulations such as AIXI = AIT⊗SDT = Algorithmic Information Theory ⊗ > Sequential Decision Theory. Lossy compression belongs on the Sequential > Decision Theory side of the ⊗ just as does the fitness function of evolution > belong on the decision side of biological evolution. It's a matter of > economics -- of engineering -- of technology -- of "ought" but NOT of "is". > > "is" belongs on the AIT side of the ⊗. "is" is lossless but only with > respect to the data provided by the evolutionary process in the form of > sensors. The cognitive process also has economic constraints about what data > can be retained -- memorized -- and that _to_ involves a "lossy" process that > limits what AIT can do -- even given infinite resources, which are not > available to AIT in any event. But that doesn't mean AIT throws data away -- > it just means AIT never has certainty that it has achieved the smallest, > lossless, memorization of the data provided by evolution.
That is a very interesting relationship you are describing. Haven’t thought about it like that. Part of the reason I’m researching this to read the post you just made explaining it so simultaneously general and succinct. That’s quite amazing I’ll be pondering it for a while… Granted this discussion became confused (or more confused) when two topics got mixed, the issue of measurement loss as you describe and a previous discussion on the topic of lossy/lossless duality in compressors. Are the topics closely coupled? It was moving towards compressive actions, verses compressors, the 1 to 1 mapping Matt is referring to. A simple example is a compressor categorized as lossy performing lossless compression depending on the data being compressed, post measurement. Put simply, is it possible that a lossy compressor compresses some data losslessly? You have to agree that it happens, no? The sort of interzone region in the lossy/lossless duality is important I believe as my research led there, one basic reason is power consumptive choices made by an AGI on processing data. Another reason is the transmissive processing characteristics of the two… but I believe there are deeper things going on when you took at the topology of all compressors and their data mappings with the physical thermodynamics and informational thermodynamics. You're description "AIXI = AIT⊗SDT = Algorithmic Information Theory ⊗ Sequential Decision Theory" encourages that. ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T5ff6237e11d945fb-M07b800498befb920660cf9ec Delivery options: https://agi.topicbox.com/groups/agi/subscription
