Chain-of-Reasoning: Towards Unified Mathematical Reasoning in Large Language Models via a Multi-Paradigm Perspective

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Yu, Yiyao, Zhang, Yuxiang, Zhang, Dongdong, Liang, Xiao, Zhang, Hengyuan, Zhang, Xingxing, Yang, Ziyi, Khademi, Mahmoud, Awadalla, Hany, Wang, Junjie, Yang, Yujiu, Wei, Furu
Formato:	Preprint
Publicado:	2025
Materias:	Computation and Language
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Scaling Laws of Synthetic Data for Language Models
por: Qin, Zeyu, et al.
Publicado: (2025)

ShifCon: Enhancing Non-Dominant Language Capabilities with a Shift-based Multilingual Contrastive Framework
por: Zhang, Hengyuan, et al.
Publicado: (2024)

MathScale: Scaling Instruction Tuning for Mathematical Reasoning
por: Tang, Zhengyang, et al.
Publicado: (2024)

Solving Math Word Problems via Cooperative Reasoning induced Language Models
por: Zhu, Xinyu, et al.
Publicado: (2022)

A Survey of Reasoning in Autonomous Driving Systems: Open Challenges and Emerging Paradigms
por: Yu, Kejin, et al.
Publicado: (2026)

A Paradigm Shift in Machine Translation: Boosting Translation Performance of Large Language Models
por: Xu, Haoran, et al.
Publicado: (2023)

Understanding Multimodal Deep Neural Networks: A Concept Selection View
por: Shang, Chenming, et al.
Publicado: (2024)

Mitigating the Reasoning Tax in Vision-Language Fine-Tuning with Input-Adaptive Depth Aggregation
por: Ren, Yiming, et al.
Publicado: (2026)

Chain-of-Dictionary Prompting Elicits Translation in Large Language Models
por: Lu, Hongyuan, et al.
Publicado: (2023)

SciAgent: Tool-augmented Language Models for Scientific Reasoning
por: Ma, Yubo, et al.
Publicado: (2024)

Reasoning-Oriented Programming: Chaining Semantic Gadgets to Jailbreak Large Vision Language Models
por: Zou, Quanchen, et al.
Publicado: (2026)

Explore-Execute Chain: Towards an Efficient Structured Reasoning Paradigm
por: Yang, Kaisen, et al.
Publicado: (2025)

Examining False Positives under Inference Scaling for Mathematical Reasoning
por: Wang, Yu, et al.
Publicado: (2025)

Mathematical Computation and Reasoning Errors by Large Language Models
por: Zhang, Liang, et al.
Publicado: (2025)

Unlocking Multimodal Mathematical Reasoning via Process Reward Model
por: Luo, Ruilin, et al.
Publicado: (2025)

Think-with-Rubrics: From External Evaluator to Internal Reasoning Guidance
por: Yu, Jiachen, et al.
Publicado: (2026)

Agent models: Internalizing Chain-of-Action Generation into Reasoning models
por: Zhang, Yuxiang, et al.
Publicado: (2025)

Preference Optimization for Reasoning with Pseudo Feedback
por: Jiao, Fangkai, et al.
Publicado: (2024)

Efficiently Editing Mixture-of-Experts Models with Compressed Experts
por: He, Yifei, et al.
Publicado: (2025)

Generative Universal Verifier as Multimodal Meta-Reasoner
por: Zhang, Xinchen, et al.
Publicado: (2025)

VideoZoomer: Reinforcement-Learned Temporal Focusing for Long Video Reasoning
por: Ding, Yang, et al.
Publicado: (2025)

Exploring the Mystery of Influential Data for Mathematical Reasoning
por: Ni, Xinzhe, et al.
Publicado: (2024)

RemoteReasoner: Towards Unifying Geospatial Reasoning Workflow
por: Yao, Liang, et al.
Publicado: (2025)

Reasoning with Exploration: An Entropy Perspective
por: Cheng, Daixuan, et al.
Publicado: (2025)

Bootstrap Your Own Context Length
por: Wang, Liang, et al.
Publicado: (2024)

Markov Chain of Thought for Efficient Mathematical Reasoning
por: Yang, Wen, et al.
Publicado: (2024)

VEN-VL: A Visual Ensemble MoE Framework for Effective and Efficient Multi-Modal Understanding
por: Wu, Yinghao, et al.
Publicado: (2026)

Multimodal Mathematical Reasoning with Diverse Solving Perspective
por: Shi, Wenhao, et al.
Publicado: (2025)

Think Only When You Need with Large Hybrid-Reasoning Models
por: Jiang, Lingjie, et al.
Publicado: (2025)

Reasoning as State Transition: A Representational Analysis of Reasoning Evolution in Large Language Models
por: Zhang, Siyuan, et al.
Publicado: (2026)

DeepSeekMath-V2: Towards Self-Verifiable Mathematical Reasoning
por: Shao, Zhihong, et al.
Publicado: (2025)

Uni-cot: Towards Unified Chain-of-Thought Reasoning Across Text and Vision
por: Qin, Luozheng, et al.
Publicado: (2025)

Improve Vision Language Model Chain-of-thought Reasoning
por: Zhang, Ruohong, et al.
Publicado: (2024)

A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoning
por: Yang, Tianyu, et al.
Publicado: (2026)

Towards Thinking-Optimal Scaling of Test-Time Compute for LLM Reasoning
por: Yang, Wenkai, et al.
Publicado: (2025)

Incremental Residual Concept Bottleneck Models
por: Shang, Chenming, et al.
Publicado: (2024)

Haibu Mathematical-Medical Intelligent Agent:Enhancing Large Language Model Reliability in Medical Tasks via Verifiable Reasoning Chains
por: Zhang, Yilun, et al.
Publicado: (2025)

See Less, See Right: Bi-directional Perceptual Shaping For Multimodal Reasoning
por: Zhang, Shuoshuo, et al.
Publicado: (2025)

Exploring the Compositional Deficiency of Large Language Models in Mathematical Reasoning
por: Zhao, Jun, et al.
Publicado: (2024)

Harder Is Better: Boosting Mathematical Reasoning via Difficulty-Aware GRPO and Multi-Aspect Question Reformulation
por: Dai, Yanqi, et al.
Publicado: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"74cbe74f4ffa95a2e096cd3c146b3f49"
language	"es"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790867608.1928 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "74cbe74f4ffa95a2e096cd3c146b3f49" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=74cbe74f4ffa95a2e096cd3c146b3f49; language=es; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"52047"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_11110/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_11110/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790867608.1879
REQUEST_TIME	1790867608

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler