5 papers
Computational Prosopography across a Millennium: Mathematically Oriented Lineages Traced from the Fields Medalists
Hiroyuki Chuma, Kanji Otsuka, Yoichi Sato
We reconstruct the mentor--student network through which documented scholarly training passed across roughly nine centuries, and subject both the network and the means of reconstru…
How to Build Marcus's Algebraic Mind: From Minsky's Emotion-Machine Viewpoint
Hiroyuki Chuma, Kanji Otsuka, Yoichi Sato
This paper reports a step that had already been taken. Marcus's three components of an adequate cognitive architecture -- variables, recursive structure, individuals vs kinds -- le…
How to Build Marcus's Algebraic Mind: From Thagard's Brain--Mind Viewpoint
Hiroyuki Chuma, Kanji Otsuka, Yoichi Sato
This paper reports a convergence neither program was looking for. Marcus's The Algebraic Mind named three things any architecture needs -- operations over variables, recursive stru…
How to Build Marcus's Algebraic Mind: Algebro-Deterministic Substrate over Galois Fields
Hiroyuki Chuma, Kanji Otsuk, Yoichi Sato
In The Algebraic Mind (2001), Marcus held that any adequate cognitive architecture needs operations over variables, recursively structured representations, and an individual/kind d…
Beyond LLMs, Sparse Distributed Memory, and Neuromorphics <A Hyper-Dimensional SRAM-CAM "VaCoAl" for Ultra-High Speed, Ultra-Low Power, and Low Cost>
Hiroyuki Chuma, Kanji Otsuka, Yoichi Sato
VaCoAl (Python: PyVaCoAl) attacks the Binding Problem algebraically rather than statistically: an SRAM/DRAM-CAM organised end-to-end around one primitive, XOR-and-shift over GF(2)…