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The AI paradigm shift most people missed in 2025, and why it matters for 2026

Published:Jan 2, 2026 04:17
1 min read
r/singularity

Analysis

The article highlights a shift in AI development from focusing solely on scale to prioritizing verification and correctness. It argues that progress is accelerating in areas where outputs can be checked and reused, such as math and code. The author emphasizes the importance of bridging informal and formal reasoning and views this as 'industrializing certainty'. The piece suggests that understanding this shift is crucial for anyone interested in AGI, research automation, and real intelligence gains.
Reference

Terry Tao recently described this as mass-produced specialization complementing handcrafted work. That framing captures the shift precisely. We are not replacing human reasoning. We are industrializing certainty.

Analysis

This paper introduces a new quasi-likelihood framework for analyzing ranked or weakly ordered datasets, particularly those with ties. The key contribution is a new coefficient (τ_κ) derived from a U-statistic structure, enabling consistent statistical inference (Wald and likelihood ratio tests). This addresses limitations of existing methods by handling ties without information loss and providing a unified framework applicable to various data types. The paper's strength lies in its theoretical rigor, building upon established concepts like the uncentered correlation inner-product and Edgeworth expansion, and its practical implications for analyzing ranking data.
Reference

The paper introduces a quasi-maximum likelihood estimation (QMLE) framework, yielding consistent Wald and likelihood ratio test statistics.

Research#llm📝 BlogAnalyzed: Dec 28, 2025 21:57

The Erdos Problem Benchmark

Published:Dec 28, 2025 04:23
1 min read
r/singularity

Analysis

This article discusses the Erdos Problem Benchmark, maintained by Terry Tao, as a compelling benchmark for AI capabilities in mathematics. The author highlights Tao's reputation as a reliable voice on AI's mathematical abilities. The post suggests the benchmark's significance and proposes a 'benchmark' flair for the subreddit. The linked resources provide access to the benchmark and further context on the topic. The article emphasizes the importance of evaluating AI's mathematical reasoning and problem-solving skills.

Key Takeaways

Reference

Terry Tao is quietly maintaining one of the most intriguing and interesting benchmarks available, imho.