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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…

数据结构与算法 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

人工智能 · 计算机科学 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 · 物理学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算与语言 · 计算机科学 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,…

分布式、并行与集群计算 · 计算机科学 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…

计算与语言 · 计算机科学 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…

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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

离散数学 · 计算机科学 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…

人工智能 · 计算机科学 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…

计算复杂性 · 计算机科学 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,…

机器学习 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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…

机器学习 · 统计学 2026-02-11 Anastasis Kratsios , Giulia Livieri , A. Martina Neuman