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Judge Math-Not by Its Parser

Opening — Why this matters now The AI industry has discovered a wonderfully pedestrian way to misread progress: build models that can solve harder math problems, then grade them with evaluators that panic when 2040 minutes is not written as 34 hours. That is not a joke. It is the central irritation behind “Rethinking Math Reasoning Evaluation: A Robust LLM-as-a-Judge Framework Beyond Symbolic Rigidity”, an arXiv paper that examines how mathematical reasoning benchmarks can be distorted by rigid symbolic verification.1 ...

April 27, 2026 · 12 min · Zelina
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Razor Burn: Why LLMs Nick Themselves on Induction and Abduction

TL;DR A new synthetic benchmark (INABHYD) tests inductive and abductive reasoning under Occam’s Razor. LLMs handle toy cases but falter as ontologies deepen or when multiple hypotheses are needed. Even when models “explain” observations, they often pick needlessly complex or trivial hypotheses—precisely the opposite of what scientific discovery and root-cause analysis require. The Big Idea Most reasoning work on LLMs obsesses over deduction (step-by-step proofs). But the real world demands induction (generalize rules) and abduction (best explanation). The paper introduces INABHYD, a programmable benchmark that builds fictional ontology trees (concepts, properties, subtype links) and hides some axioms. The model sees an incomplete world + observations, and must propose hypotheses that both explain all observations and do so parsimoniously (Occam’s Razor). The authors score: ...

September 6, 2025 · 4 min · Zelina
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Search When It Hurts: How UR² Teaches Models to Retrieve Only When Needed

Most “smart” RAG stacks are actually compulsive googlers: they fetch first and think later. UR² (“Unified RAG and Reasoning”) flips that reflex. It trains a model to reason by default and retrieve only when necessary, using reinforcement learning (RL) to orchestrate the dance between internal knowledge and external evidence. Why this matters for builders: indiscriminate retrieval is the silent cost center of LLM systems—extra latency, bigger bills, brittle answers. UR² shows a way to make retrieval selective, structured, and rewarded, yielding better accuracy on exams (MMLU‑Pro, MedQA), real‑world QA (HotpotQA, Bamboogle, MuSiQue), and even math. ...

August 11, 2025 · 5 min · Zelina