Tootfinder

With the emergence of more processors with 64 cores or more, I'm thinking more about whether it makes sense to implement a hypercube virtualised on a single chip with a single vector of memory, or as a literal hypercube of 64 (say) RP2350s. I understand the problems of transferring data across a hypercube, but I don't have a good feeling of how the bus contention on a multicore processor scales. What should I read?

Implementing post scarcity hardware
Prototype work towards building a post-scarcity software system

PRoH: Dynamic Planning and Reasoning over Knowledge Hypergraphs for Retrieval-Augmented Generation
Xiangjun Zai, Xingyu Tan, Xiaoyang Wang, Qing Liu, Xiwei Xu, Wenjie Zhang
https://arxiv.org/abs/2510.12434

PRoH: Dynamic Planning and Reasoning over Knowledge Hypergraphs for Retrieval-Augmented Generation
Knowledge Hypergraphs (KHs) have recently emerged as a knowledge representation for retrieval-augmented generation (RAG), offering a paradigm to model multi-entity relations into a structured form. However, existing KH-based RAG methods suffer from three major limitations: static retrieval planning, non-adaptive retrieval execution, and superficial use of KH structure and semantics, which constrain their ability to perform effective multi-hop question answering. To overcome these limitations, w…

Elevating Medical Image Security: A Cryptographic Framework Integrating Hyperchaotic Map and GRU
Weixuan Li, Guang Yu, Quanjun Li, Junhua Zhou, Jiajun Chen, Yihang Dong, Mengqian Wang, Zimeng Li, Changwei Gong, Lin Tang, Xuhang Chen
https://arxiv.org/abs/2510.12084

Elevating Medical Image Security: A Cryptographic Framework Integrating Hyperchaotic Map and GRU
Chaotic systems play a key role in modern image encryption due to their sensitivity to initial conditions, ergodicity, and complex dynamics. However, many existing chaos-based encryption methods suffer from vulnerabilities, such as inadequate permutation and diffusion, and suboptimal pseudorandom properties. This paper presents Kun-IE, a novel encryption framework designed to address these issues. The framework features two key contributions: the development of the 2D Sin-Cos Pi Hyperchaotic Ma…

Tur\'an densities of stars in uniformly dense hypergraphs
Hao Lin, Wenling Zhou
https://arxiv.org/abs/2510.12576 https://arxiv.org/pdf/2510.12576

Turán densities of stars in uniformly dense hypergraphs
A $3$-uniform hypergraph (or $3$-graph) $H=(V,E)$ is $(d,μ, \text{dot})$-dense if for any subsets $X, Y, Z\subseteq V$, the number of triples $(x,y,z)\in X\times Y\times Y$ with $\{x,y,z\}$ being an edge of $H$ is at least $d|X||Y||Z|-μ|V|^3$. Similarly, we say that $H$ is $(d,μ, \text{dot-edge})$-dense if for any subset $X\subseteq V$ and every pair set $P\subseteq V\times V$, the number of pairs $(x,(y,z))\in X\times P$ with $\{x,y,z\}$ being an edge…

Subvarieties of low degree on general hypersurfaces
Nathan Chen, David Yang
https://arxiv.org/abs/2510.11865 https://arxiv.org/pdf/2510.11865

Subvarieties of low degree on general hypersurfaces
The purpose of this note is to show that the subvarieties of small degree inside a general hypersurface of large degree come from intersecting with linear spaces or other varieties.

🇺🇦 #NowPlaying on KEXP's #Expansions
Slinki:
🎵 Smack
#Slinki
https://hooversoundrecordings.bandcamp.com/album/smack
https://open.spotify.com/track/1PsgDo6gwNaq41HT08VUgD

Ritter Sport muss Niederlage im Verpackungsstreit einstecken
https://www.spiegel.de/wirtschaft/ritter-sport-vs-wacker-schokoladenhersteller-unterliegt-im-verpackungsstre…

Disput zwischen Schokoladenherstellern: Ritter Sport muss Niederlage im Verpackungsstreit einstecken
Die Firma Wacker stellt Haferriegel her. Die Snacks erinnern in ihrer Form an Ritter Sport – wogegen der Schokohersteller gerichtlich vorgegangen ist und unterlag. Zuvor hatte sich der Beklagte einen Seitenhieb erlaubt.

🇺🇦 #NowPlaying on KEXP's #VarietyMix
The Stooges:
🎵 1969
#TheStooges
https://lp-hovercraft.bandcamp.com/track/2022-cover-of-the-stooges-1969

H-harmonic reproducing kernels on the ball
Mat\v{e}j Morav\'ik
https://arxiv.org/abs/2510.11821 https://arxiv.org/pdf/2510.11821

H-harmonic reproducing kernels on the ball
We consider the Szegő reproducing kernel associated with the space of $H$-harmonic functions on the unit ball in n-dimensional space, i.e. functions that are characterized by being annihilated by the hyperbolic Laplacian. This paper derives an explicit series expansion for the reproducing kernel in terms of a triple hypergeometric function introduced of Exton. Moreover, we demonstrate that the Szegő kernel admits a representation as a finite sum of hypergeometric functions. We further show th…

🇺🇦 #NowPlaying on KEXP's #Expansions
submerse:
🎵 Fluid Haunts (Solar Cans)
#submerse
https://hooversoundrecordings.bandcamp.com/album/hooversound-presents-submerse-fluid-haunts