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Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

Data Structures and Algorithms · Computer Science 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

While diffusion models have shown exceptional capabilities in aesthetic image synthesis, they often struggle with complex spatial understanding and reasoning. Existing approaches resort to Multimodal Large Language Models (MLLMs) to enhance…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Wei Chen , Yancheng Long , Mingqiao Liu , Haojie Ding , Yankai Yang , Hongyang Wei , Yi-Fan Zhang , Bin Wen , Fan Yang , Tingting Gao , Han Li , Long Chen

Large language models (LLMs) are typically trained by reinforcement learning (RL) with verifiable rewards (RLVR) and supervised fine-tuning (SFT) on reasoning traces to improve their reasoning abilities. However, how these methods shape…

Artificial Intelligence · Computer Science 2026-05-28 Kohsei Matsutani , Shota Takashiro , Gouki Minegishi , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

We formulate and study analytically and computationally two families of piecewise linear degree one circle maps. These families offer the rare advantage of being non-trivial but essentially solvable models for the phenomenon of mode-locking…

chao-dyn · Physics 2009-10-28 David K. Campbell , Roza Galeeva , Charles Tresser , David J. Uherka

Automatic cell image segmentation methods in connectomics produce merge and split errors, which require correction through proofreading. Previous research has identified the visual search for these errors as the bottleneck in interactive…

Computer Vision and Pattern Recognition · Computer Science 2017-04-05 Daniel Haehn , Verena Kaynig , James Tompkin , Jeff W. Lichtman , Hanspeter Pfister

Existing prompting paradigms structure LLM reasoning in limited topologies: Chain-of-Thought (CoT) produces linear traces, while Tree-of-Thought (ToT) performs branching search. Yet complex reasoning often requires merging intermediate…

Computation and Language · Computer Science 2026-03-24 Fan Huang

In this paper, we propose a paradigm for processing in parallel graph joins in road networks. The methodology we present can be used for distance join processing among the elements of two disjoint sets R,S of nodes from the road network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-27 George Tsatsanifos

Given that rich information is hidden behind ubiquitous numbers in text, numerical reasoning over text should be an essential skill of AI systems. To derive precise equations to solve numerical reasoning problems, previous work focused on…

Computation and Language · Computer Science 2022-11-30 Zhihong Shao , Fei Huang , Minlie Huang

Long Chain-of-Thought (LCoT), achieved by Reinforcement Learning with Verifiable Rewards (RLVR), has proven effective in enhancing the reasoning capabilities of Large Language Models (LLMs). However, reasoning in current LLMs is primarily…

With recent advancements in large language models, methods like chain-of-thought prompting to elicit reasoning chains have been shown to improve results on reasoning tasks. However, tasks that require multiple steps of reasoning still pose…

Computation and Language · Computer Science 2023-12-13 Olga Golovneva , Sean O'Brien , Ramakanth Pasunuru , Tianlu Wang , Luke Zettlemoyer , Maryam Fazel-Zarandi , Asli Celikyilmaz

Recent advances in natural language processing highlight two key factors for improving reasoning in large language models (LLMs): (i) allocating more test-time compute tends to help on harder problems but often introduces redundancy in the…

Computation and Language · Computer Science 2025-11-04 Riccardo Alberghi , Elizaveta Demyanenko , Luca Biggio , Luca Saglietti

Large Language Models (LLMs) excel at many tasks but often falter on complex problems that require structured, multi-step reasoning. We introduce the Diagram of Thought (DoT), a framework that enables a single LLM to build and navigate a…

Computation and Language · Computer Science 2026-05-15 Yifan Zhang , Yang Yuan , Andrew Chi-Chih Yao

We experimentally evaluate the practical state-of-the-art in graph bipartization (Odd Cycle Transversal), motivated by recent advances in near-term quantum computing hardware and the related embedding problems. We assemble a preprocessing…

Discrete Mathematics · Computer Science 2021-03-22 Timothy D. Goodrich , Eric Horton , Blair D. Sullivan

The chain-of-thought technique has been received well in multi-modal tasks. It is a step-by-step linear reasoning process that adjusts the length of the chain to improve the performance of generated prompts. However, human thought processes…

Artificial Intelligence · Computer Science 2024-04-09 Juncheng Yang , Zuchao Li , Shuai Xie , Wei Yu , Shijun Li , Bo Du

Higher-order graph clustering aims to partition the graph using frequently occurring subgraphs. Motif conductance is one of the most promising higher-order graph clustering models due to its strong interpretability. However, existing motif…

Computational Complexity · Computer Science 2024-06-12 Longlong Lin , Tao Jia , Zeli Wang , Jin Zhao , Rong-Hua Li

As graphs grow larger, full-batch GNN training becomes hard for single GPU memory. Therefore, to enhance the scalability of GNN training, some studies have proposed sampling-based mini-batch training and distributed graph learning. However,…

Machine Learning · Computer Science 2024-08-22 Zhengjia Xu , Dingyang Lyu , Jinghui Zhang

Large Language Models (LLMs) reasoning processes are challenging to analyze due to their complexity and the lack of organized visualization tools. We present ReasonGraph, a web-based platform for visualizing and analyzing LLM reasoning…

Computation and Language · Computer Science 2025-03-07 Zongqian Li , Ehsan Shareghi , Nigel Collier

Generating intermediate steps, or Chain of Thought (CoT), is an effective way to significantly improve language models' (LM) multi-step reasoning capability. However, the CoT lengths can grow rapidly with the problem complexity, easily…

Computation and Language · Computer Science 2023-06-13 Soochan Lee , Gunhee Kim

What is a mathematically rigorous way to describe the taxi-pickup distribution in Manhattan, or the profile information in online social networks? A deep understanding of representing those data not only provides insights to the data…

Signal Processing · Electrical Eng. & Systems 2018-03-09 Siheng Chen , Aarti Singh , Jelena Kovačević

We study the statistical behaviour of reasoning probes in a stylized model of looped reasoning, given by Boolean circuits whose computational graph is a perfect $\nu$-ary tree ($\nu\ge 2$) and whose output is appended to the input and fed…

Machine Learning · Statistics 2026-02-11 Anastasis Kratsios , Giulia Livieri , A. Martina Neuman
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