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Large Language Models (LLMs) face challenges in knowledge-intensive reasoning tasks like classic multi-hop question and answering, which involves reasoning across multiple facts. This difficulty arises because the chain of thoughts (CoTs)…

Computation and Language · Computer Science 2025-08-25 Nan Wang , Yongqi Fan , yansha zhu , ZongYu Wang , Xuezhi Cao , Xinyan He , Haiyun Jiang , Tong Ruan , Jingping Liu

Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated…

Signal Processing · Electrical Eng. & Systems 2019-10-17 Bruno Scalzo Dees , Ljubisa Stankovic , Anthony G. Constantinides , Danilo P. Mandic

Direct Preference Optimization (DPO) aligns language models using pairwise preference comparisons, offering a simple and effective alternative to Reinforcement Learning (RL) from human feedback. However, in many practical settings, training…

Machine Learning · Computer Science 2026-05-11 Ning Liu , Chuanneng Sun , Kristina Klinkner , Shervin Malmasi

Researchers have pursued neurosymbolic artificial intelligence (AI) applications for nearly three decades. A marriage of the neural and symbolic components can lead to rapid advancements in AI. Yet, the field has not realized this promise…

Artificial Intelligence · Computer Science 2026-05-12 Margarita Belova , Jiaxin Xiao , Shikhar Tuli , Niraj K. Jha

Recent advances in search-augmented large reasoning models (LRMs) enable the retrieval of external knowledge to reduce hallucinations in multistep reasoning. However, their ability to operate on graph-structured data, prevalent in domains…

Computation and Language · Computer Science 2026-01-14 Jiajin Liu , Yuanfu Sun , Dongzhe Fan , Qiaoyu Tan

Knowledge graph-based retrieval-augmented generation seeks to mitigate hallucinations in Large Language Models (LLMs) caused by insufficient or outdated knowledge. However, existing methods often fail to fully exploit the prior knowledge…

Computation and Language · Computer Science 2025-12-23 Jie Ma , Ning Qu , Zhitao Gao , Rui Xing , Jun Liu , Hongbin Pei , Jiang Xie , Linyun Song , Pinghui Wang , Jing Tao , Zhou Su

Graph Generation is a recently introduced enhanced Column Generation algorithm for solving expanded Linear Programming relaxations of mixed integer linear programs without weakening the expanded relaxations which characterize these methods.…

Optimization and Control · Mathematics 2022-02-04 Julian Yarkony , Amelia Regan

Existing knowledge graphs (KGs) inevitably contain outdated or erroneous knowledge that needs to be removed from knowledge graph embedding (KGE) models. To address this challenge, knowledge unlearning can be applied to eliminate specific…

Artificial Intelligence · Computer Science 2025-07-29 Jiajun Liu , Wenjun Ke , Peng Wang , Yao He , Ziyu Shang , Guozheng Li , Zijie Xu , Ke Ji

Neural Algorithmic Reasoning (NAR) is a paradigm that trains neural networks to execute classic algorithms by supervised learning. Despite its successes, important limitations remain: inability to construct valid solutions without…

Machine Learning · Computer Science 2026-01-30 Alex Schutz , Victor-Alexandru Darvariu , Efimia Panagiotaki , Bruno Lacerda , Nick Hawes

Inspired by the success of large language models, there is a trend toward developing graph foundation models to conduct diverse downstream tasks in various domains. However, current models often require extra fine-tuning to apply their…

Machine Learning · Computer Science 2025-05-16 Kai Wang , Siqiang Luo , Caihua Shan , Yifei Shen

A methodology grounded in model reduction is presented for accelerating the gradient-based solution of a family of linear or nonlinear constrained optimization problems where the constraints include at least one linear Partial Differential…

Numerical Analysis · Mathematics 2020-04-15 Youngsoo Choi , Gabriele Boncoraglio , Spenser Anderson , David Amsallem , Charbel Farhat

Logistics optimization nowadays is becoming one of the hottest areas in the AI community. In the past year, significant advancements in the domain were achieved by representing the problem in a form of graph. Another promising area of…

Machine Learning · Computer Science 2022-05-26 Zangir Iklassov , Dmitrii Medvedev

Acquiring labels are often costly, whereas unlabeled data are usually easy to obtain in modern machine learning applications. Semi-supervised learning provides a principled machine learning framework to address such situations, and has been…

Machine Learning · Computer Science 2017-04-07 Trung Le , Khanh Nguyen , Van Nguyen , Vu Nguyen , Dinh Phung

Combinatorial optimization problems near algorithmic phase transitions represent a fundamental challenge for both classical algorithms and machine learning approaches. Among them, graph coloring stands as a prototypical constraint…

Open-world semi-supervised learning aims at inferring both known and novel classes in unlabeled data, by harnessing prior knowledge from a labeled set with known classes. Despite its importance, there is a lack of theoretical foundations…

Machine Learning · Computer Science 2023-11-08 Yiyou Sun , Zhenmei Shi , Yixuan Li

Graph simulation (using graph schemata or data guides) has been successfully proposed as a technique for adding structure to semistructured data. Design patterns for description (such as meta-classes and homomorphisms between schema…

Databases · Computer Science 2007-05-23 Christoph Koch

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

Machine Learning · Computer Science 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

Large language models (LLMs) often struggle with knowledge-intensive tasks due to hallucinations and outdated parametric knowledge. While Retrieval-Augmented Generation (RAG) addresses this by integrating external corpora, its effectiveness…

Computation and Language · Computer Science 2026-02-04 Su Dong , Qinggang Zhang , Yilin Xiao , Shengyuan Chen , Chuang Zhou , Xiao Huang

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Generalizing to unseen graph tasks without task-pecific supervision remains challenging. Graph Neural Networks (GNNs) are limited by fixed label spaces, while Large Language Models (LLMs) lack structural inductive biases. Recent advances in…

Machine Learning · Computer Science 2025-08-29 Yicong Wu , Guangyue Lu , Yuan Zuo , Huarong Zhang , Junjie Wu