Sepulveda-Jimenez, Alfredo
Zenodo
Popular and semi-technical commentary increasingly describes generative articial intelli-gence as producing, or disclosing, a form of collective mind shared across its users. Thispaper argues that such framings conate three distinct phenomena functional collectiveintelligence, distributed cognition, and…
Sepulveda-Jimenez, Alfredo
Zenodo
A view of sleep dominated by the prescription “get eight hours” is being replaced, across severalindependent strands of evidence, by a multidimensional model in which continuity, timing, regularity,architecture, and subjective satisfaction carry explanatory weight at least…
Sepulveda-Jimenez, Alfredo
Zenodo
We propose a type discipline for deep learning architectures in which every tensor axiscarries both a name and a sort, and in which the legal operations on an axis are determinedby its sort. Our central thesis…
Sepulveda-Jimenez, Alfredo
Zenodo
Existing forecasts of AI-induced labor displacement collapse a multi-dimensional phenomenononto a single occupation-level probability and, with rare exceptions, condition on capabilityalone. We argue that compression is properly decomposed into four nested but distinctquantitiestask replacement, billable-hour reduction,…
Sepulveda-Jimenez, Alfredo
Zenodo
Hyperbolic representation learning has matured into a substantial subfield over the lastdecade, yet it lacks a principled, finite, conformally invariant capacity functional analogousto the differential entropy of Euclidean information theory. We propose that the renormal-ized volume…
Sepulveda-Jimenez, Alfredo
Zenodo
The recent breakthrough by [Zha+26] demonstrates a provable exponential quantum advantagein processing massive classical data using polylogarithmic quantum space, primarilythrough the innovations of quantum oracle sketching (QOS) and interferometric classicalshadows. This brief manuscript reviews that framework,…
Sepulveda-Jimenez, Alfredo
Zenodo
[Zha+26] introduce quantum oracle sketching (QOS), a streaming algorithm that constructsan approximate phase oracle of a Boolean function f : [N] → {0, 1} from M =Θ(NQ2/ε) classical samples and then executes any quantum query algorithm…
Sepulveda-Jimenez, Alfredo
Zenodo
We present a unified mathematical account of musical sound that links mechanistic acoustics,score structure, and human auditory perception. Starting from the three-dimensional acousticwave equation and modal superposition, we derive resonances of strings and tubes and modelensemble…