Deep Self-Evolving Reasoning (Oct 2025)

Title: Deep Self-Evolving Reasoning (Oct 2025)
Link: http://arxiv.org/abs/2510.17498v1
Date: October 2025

Summary:
This paper introduces Deep Self-Evolving Reasoning (DSER), a probabilistic framework that substantially extends the reasoning capabilities of open-weight large language models (LLMs) on complex tasks, even when their inherent verification and refinement abilities are weak. DSER conceptualizes iterative reasoning as a Markov chain, where convergence to a correct solution is assured as long as the probability of improvement marginally exceeds that of degradation. By executing multiple parallel, long-horizon self-evolving processes, DSER amplifies these small positive tendencies to asymptotically approach correct answers. Empirical evaluations on the AIME 2024-2025 benchmark demonstrate that DSER enables the DeepSeek-R1-0528-Qwen3-8B model to solve 5 out of 9 previously unsolvable problems and significantly improve overall performance, even surpassing its 600B-parameter teacher through majority voting. The work also highlights fundamental limitations of current open-weight reasoners and proposes a research agenda for developing intrinsic self-evolving capabilities.

Key Topics:
Deep Self-Evolving Reasoning (DSER)
Large Language Models (LLMs)
Iterative Reasoning
Markov Chain
Self-Verification
Self-Refinement
Olympiad-level Problems
Open-Weight Models
Chain-of-Thought (CoT) Reasoning

Chapters:
00:00 - Small LLM Fragility & DSER
00:54 - DSER's Probabilistic Solution
01:36 - 8B Model Beats 600B
02:28 - Stochastic Reasoning Framework
04:11 - Markov Chains & Convergence
06:08 - DSER Implementation Cycle
07:58 - AIME Benchmark Performance
09:30 - High Cost: 10 Million Tokens
10:47 - Guiding Future AI Development
12:25 - DSER vs. Verification Frameworks
13:11 - DSER's Impact & Research Direction

Stock video credits:
Colin Jones - https://www.pexels.com/@larchmedia
Yaroslav Shuraev - https://www.pexels.com/@yaroslav-shuraev
Dan Cristian Pădureț - https://www.pexels.com/@paduret
cottonbro studio - https://www.pexels.com/@cottonbro
StefWithAnF - https://www.pexels.com/@stefwithanf-1...
KATRIN BOLOVTSOVA - https://www.pexels.com/@ekaterina-bol...
Kelly - https://www.pexels.com/@kelly
Kindel Media - https://www.pexels.com/@kindelmedia
Pixabay - https://www.pexels.com/@pixabay
Soumya - https://www.pexels.com/@soumya-1446957
@svetjekolem - https://www.pexels.com/@svetjekolem
Engin Akyurt - https://www.pexels.com/@enginakyurt
crazy motions - https://www.pexels.com/@crazy-motions...
Pressmaster - https://www.pexels.com/@pressmaster
Pavel Danilyuk - https://www.pexels.com/@pavel-danilyuk
Silviu Din - https://www.pexels.com/@silviu-din-16...
Mikhail Nilov - https://www.pexels.com/@mikhail-nilov
José Alfredo Munguía Lira - https://www.pexels.com/@rectorretro
Charlie Mounsey - https://www.pexels.com/@charlie-mouns...
Danil Shostak - https://www.pexels.com/@danil-shostak...
Pachon in Motion - https://www.pexels.com/@pachon-in-mot...
Anthony 🙂 - https://www.pexels.com/@inspiredimages
Trippy Lagoon - https://www.pexels.com/@trippy-lagoon...
Stas Knop - https://www.pexels.com/@stasknop
Oleg Gamulinskii - https://www.pexels.com/@oleg-gamulins...