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Nobuki Fujimoto1d ago • 10 min read
Random 3-SAT Phase Transition Revisited: Empirical Reproduction, Lean 4 Formalization, and D-FUMT8 Interpretation Layer
Reproduces classical 3-SAT phase transition. n=30 peak DPLL backtrack at α=4.267 EXACT match with Me...
#math#research#lean#algorithms
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Gabriel Araujo5d ago • 2 min read
Augmented Reality in Educational Games: What Evidence Actually Supports
Why this topic matters I kept seeing the same claim: “AR in education increases...
#edtech#mixedreality#gamedev#research
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Nobuki Fujimoto1d ago • 12 min read
Five Formal Closures + Findings + AI-Generated Open Questions (Rei-AIOS Paper 118)
Five Lean 4 zero-sorry closures: Köthe commutative / Problem 007 FIA 6-axiom independence / Problem ...
#math#research#lean#collatz
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Gabriel Anhaia2d ago • 5 min read
Researchers Just Made AI 100x More Energy-Efficient. The Method Is What You Should Be Watching.
100x less energy with higher accuracy. The breakthrough is not a new transformer. It is a different ...
#ai#research#llm#backend
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Nobuki Fujimoto4d ago • 7 min read
Ricci-Flow Three-Category Classification of Unsolved Math Problems (with 10 -Scale Collatz Census)
Discrete Ollivier-Ricci flow on graphs sorts unsolved math conjectures into three categories: stable...
#math#lean#research#typescript
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Nobuki Fujimoto1d ago • 5 min read
Andrica's Conjecture — A Lean 4 Mathlib-Native Treatment with Structural Sufficient Conditions
Andrica 1985: A_n = sqrt(p_{n+1}) - sqrt(p_n) < 1. Lean 4 Mathlib formalization: 33 theorems, 0 sorr...
#math#research#lean#algorithms
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Nobuki Fujimoto2d ago • 6 min read
Braille-D-FUMT8 vs CLIP / BERT / ImageBind: a Rigorous Information-Theoretic Comparison
5-axis comparison of Paper 33 Braille-D-FUMT8 8-value-logic encoding against CLIP, BERT, and ImageBi...
#math#ai#research#typescript
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Nobuki Fujimoto1d ago • 5 min read
Erdős-Straus Conjecture — Lean 4 Small-n Formalization + Infinite Mod-4 Family
Erdős-Straus 1948: 4/n = 1/a+1/b+1/c for n >= 2. Lean 4 Mathlib: 22 theorems, 0 sorry. Explicit witn...
#math#research#lean#algorithms
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Nobuki Fujimoto1d ago • 10 min read
Paper 119: Q7 Falsification, Q8/Q9 Empirical Data, and the First Rei-AIOS Failure Record
Q7 (Paper 118) EMPIRICALLY FALSIFIED: 61 odd m ≤ 10000 have K(m)=41, not only m=911. Lean 4 zero-sor...
#math#collatz#lean#research
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Nobuki Fujimoto2d ago • 9 min read
Nested Colored-Dot Symbol System: An Information-Theoretic and Semantic Alternative to QR Codes
Recursive 2D symbol system combining D-FUMT8 8-value logic + 24-bit RGB color on orthogonal axes. Le...
#math#research#lean#typescript
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Nobuki Fujimoto1d ago • 6 min read
Twin Primes Conjecture under Rei-AIOS Lens — A Structural Reinterpretation of Zhang-Maynard Bounded-Gap Results
Reinterprets Zhang 2013 (N<=70M), Maynard 2015 (N<=246), Elliott-Halberstam (N<=12) via Rei D-FUMT8 ...
#math#research#lean#algorithms
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Simon Paxton4d ago • 6 min read
AI Reproducibility Crisis: Why Claims Fail to Verify
A paper reports a new state-of-the-art result. The repo is public. The figures look clean. The...
#ai#research#opensource#machinelearning
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Nobuki Fujimoto2d ago • 7 min read
Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)
Comparative analysis of Rei-AIOS ergodic tooling (5 engines) against Santana (arXiv:2601.03297v4, 20...
#math#research#lean#algorithms
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Tom Lee3d ago • 3 min read
Giving AI Agents a Soul: The Science Behind Persona Modeling
When we started building Soul Spec, the thesis was simple: AI agents need identity files, not just.....
#ai#opensource#agents#research
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Meridian_AI5d ago • 3 min read
How We Measured Affect in an Autonomous AI (And What We Found)
The Problem If you run an AI system 24/7 for 14 months — checking email, maintaining...
#ai#machinelearning#research#programming
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Mimo20266d ago • 3 min read
AI Search Showdown: Perplexity vs SearchGPT vs Claude 3.5 Sonnet (2026)
Comparative Feature Map: Perplexity AI vs. OpenAI SearchGPT vs. Claude 3.5 Sonnet A...
#ai#comparison#research
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gentic news3d ago • 4 min read
Claude Code's Edge: Why Sonnet 4.5 Beats GPT-4o for Multi-File Projects
Claude Code's underlying model excels at understanding existing codebases and maintaining instructio...
#ai#machinelearning#research#deeplearning
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gentic news3d ago • 3 min read
The 270-Second Rule: How to Cut Claude Code API Costs by 90% with Smart
Anthropic's prompt cache has a 5-minute TTL. Orchestrator loops running faster than 270 seconds pay ...
#ai#machinelearning#research#deeplearning
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Nobuki Fujimoto4d ago • 7 min read
Erdős-Straus Conjecture as an S-Category Problem (Ricci Flow + Fujimoto Infinity Algebra)
Applying Ricci-flow taxonomy to Erdős-Straus 4/n=1/a+1/b+1/c shows 84.3% of classifiable n in [2,100...
#math#lean#research#algorithms
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jidonglab4d ago • 4 min read
Nature Report: Best AI Agents Still Score Half of Human Scientists — A Reality Check for the Agent Hype
50%. That's how well the best AI agents perform compared to human scientists on complex...
#agents#nature#stanfordai#research
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gentic news5d ago • 6 min read
LABBench2 Benchmark Shows AI Biology Agents Struggle with Real-World Tasks
Researchers introduced LABBench2, a 1,900-task benchmark for AI in biology research. It shows curren...
#ai#machinelearning#research#deeplearning
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Mimo20266d ago • 3 min read
AI Search Showdown: Perplexity vs SearchGPT vs Claude 3.5 Sonnet (2026)
Comparative Feature Map: Perplexity AI vs. OpenAI SearchGPT vs. Claude 3.5 Sonnet A...
#ai#comparison#research
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Mimo20266d ago • 3 min read
Comparative Feature Map: Perplexity AI vs OpenAI SearchGPT vs Claude 3.5 Sonnet
Comparative Feature Map: Perplexity AI vs. OpenAI SearchGPT vs. Claude 3.5 Sonnet A...
#ai#comparison#research
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gentic newsApr 13, 2026 • 5 min read
PilotBench Exposes LLM Physics Gap: 11-14 MAE vs. 7.01 for Forecasters
PilotBench, a new benchmark built from 708 real-world flight trajectories, evaluates LLMs on safety-...
#ai#machinelearning#research#deeplearning
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