Sebastian Raschka By Sebastian Raschka, PhD

Controlling Reasoning Effort in LLMs

Read the original on Sebastian Raschka →

How LLMs Learn Low-, Medium-, and High-Effort Reasoning Modes

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at Sebastian Raschka.

arXiv AI
Sep 7

Do LLMs Exhibit Coherent Knowledge Structures in Mathematical Reasoning? A Perspective from Knowledge Space Theory

The paper investigates whether large language models (LLMs) possess coherent, human-like knowledge structures in mathematical reasoning by applying Knowledge Space Theory (KST). Using a KST-based framework, the authors evaluate eight open- and closed-source LLMs and find that they frequently violate knowledge dependencies, fail to leverage related context, and exhibit low overlap in knowledge distributions compared to real human learners. These structural deficiencies remain largely invisible to standard accuracy or LLM-as-judge evaluations, suggesting that current LLMs do not follow a human-like knowledge structure.

By Peng Cui, Heejin Do, Mrinmaya Sachan
arXiv AI
Sep 10

Boosting LLM Reasoning via Human-Inspired Reward Shaping

The paper introduces T2T (Thickening-to-Thinning), a dynamic reward framework for large language models that mimics human learning by separating exploration and consolidation phases. During incorrect attempts, T2T encourages exploration to broaden the search space, while after correct solutions it applies length penalties to promote concise reasoning. Experiments on mathematical benchmarks across five mainstream LLMs show that T2T outperforms standard GRPO and recent baselines, improving overall reasoning performance.

By Wenze Lin, Zhen Yang, Xitai Jiang, Xiaoteng Ma, Gao Huang