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For optimization problems with nonlinear constraints, linearly constrained Lagrangian (LCL) methods sequentially minimize a Lagrangian function subject to linearized constraints. These methods converge rapidly near a solution but may not be…

Optimization and Control · Mathematics 2007-05-23 Michael P. Friedlander , Michael A Saunders

Approximating the solutions of boundary value problems governed by partial differential equations with neural networks is challenging, largely due to the difficult training process. This difficulty can be partly explained by the spectral…

Numerical Analysis · Mathematics 2025-11-03 Alexander Heinlein , Taniya Kapoor

Achieving robust spatial reasoning remains a fundamental challenge for current Multimodal Foundation Models (MFMs). Existing methods either overfit statistical shortcuts via 3D grounding data or remain confined to 2D visual perception,…

Artificial Intelligence · Computer Science 2026-03-11 Shouwei Ruan , Bin Wang , Zhenyu Wu , Qihui Zhu , Yuxiang Zhang , Hang Su , Yubin Wang

Answering complex queries over incomplete knowledge graphs (KGs) is a challenging job. Most previous works have focused on learning entity/relation embeddings and simulating first-order logic operators with various neural networks. However,…

Computation and Language · Computer Science 2025-03-04 Tianle Xia , Liang Ding , Guojia Wan , Yibing Zhan , Bo Du , Dacheng Tao

The success of graph embeddings or node representation learning in a variety of downstream tasks, such as node classification, link prediction, and recommendation systems, has led to their popularity in recent years. Representation learning…

Machine Learning · Computer Science 2018-09-07 Saba A. Al-Sayouri , Danai Koutra , Evangelos E. Papalexakis , Sarah S. Lam

Complex networks can model a range of different systems, from the human brain to social connections. Some of those networks have a large number of nodes and links, making it impractical to analyze them directly. One strategy to simplify…

Disordered Systems and Neural Networks · Physics 2023-04-06 Matheus de C. Loures , Alan Albert Piovesana , José Antônio Brum

Large language models (LLMs) have achieved impressive performance on knowledge-intensive tasks, yet they often struggle with multi-step reasoning due to the unstructured nature of retrieved context. While retrieval-augmented generation…

Computation and Language · Computer Science 2026-01-30 Pengcheng Jiang , Lang Cao , Ruike Zhu , Minhao Jiang , Yunyi Zhang , Jiaming Shen , Jimeng Sun , Jiawei Han

Large Language Models (LLMs) equipped with external tools have demonstrated enhanced performance on complex reasoning tasks. The widespread adoption of this tool-augmented reasoning is hindered by the scarcity of domain-specific tools. For…

Computation and Language · Computer Science 2025-10-10 Murong Yue , Zhiwei Liu , Liangwei Yang , Jianguo Zhang , Zuxin Liu , Haolin Chen , Ziyu Yao , Silvio Savarese , Caiming Xiong , Shelby Heinecke , Huan Wang

Deep learning has been widely used in many fields, but the model training process usually consumes massive computational resources and time. Therefore, designing an efficient neural network training method with a provable convergence…

Machine Learning · Computer Science 2023-07-14 Lianke Qin , Zhao Song , Yuanyuan Yang

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks…

Machine Learning · Computer Science 2018-10-16 Alex Nowak-Vila , David Folqué , Joan Bruna

Large pre-trained language models have been shown to store factual knowledge in their parameters, and achieve state-of-the-art results when fine-tuned on downstream NLP tasks. However, their ability to access and precisely manipulate…

Knowledge Graphs (KGs) have been applied to many tasks including Web search, link prediction, recommendation, natural language processing, and entity linking. However, most KGs are far from complete and are growing at a rapid pace. To…

Artificial Intelligence · Computer Science 2017-11-10 Baoxu Shi , Tim Weninger

Neuro-symbolic methods integrate neural architectures, knowledge representation and reasoning. However, they have been struggling at both dealing with the intrinsic uncertainty of the observations and scaling to real-world applications.…

Artificial Intelligence · Computer Science 2025-01-16 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini

Large Reasoning Models (LRMs) face two fundamental limitations: excessive token consumption when overanalyzing simple information processing tasks, and inability to access up-to-date knowledge beyond their training data. We introduce MARS…

Artificial Intelligence · Computer Science 2026-02-03 Guoxin Chen , Zile Qiao , Wenqing Wang , Donglei Yu , Xuanzhong Chen , Hao Sun , Minpeng Liao , Kai Fan , Yong Jiang , Penguin Xie , Wayne Xin Zhao , Ruihua Song , Fei Huang

Machine learning methods are commonly used to solve inverse problems, wherein an unknown signal must be estimated from few indirect measurements generated via a known acquisition procedure. In particular, neural networks perform well…

Machine Learning · Computer Science 2025-12-05 Hannah Laus , Suzanna Parkinson , Vasileios Charisopoulos , Felix Krahmer , Rebecca Willett

Automated interlinear gloss prediction with neural networks is a promising approach to accelerate language documentation efforts. However, while state-of-the-art models like GlossLM achieve high scores on glossing benchmarks, user studies…

Computation and Language · Computer Science 2026-01-26 Michael Ginn , Lindia Tjuatja , Enora Rice , Ali Marashian , Maria Valentini , Jasmine Xu , Graham Neubig , Alexis Palmer

Large Language Models (LLMs) and Knowledge Graphs (KGs) offer a promising approach to robust and explainable Question Answering (QA). While LLMs excel at natural language understanding, they suffer from knowledge gaps and hallucinations.…

Machine Learning · Computer Science 2025-04-15 Jasper Linders , Jakub M. Tomczak

Predictive coding networks are neural models that perform inference through an iterative energy minimization process, whose operations are local in space and time. While effective in shallow architectures, they suffer significant…

Machine Learning · Computer Science 2025-10-13 Chang Qi , Matteo Forasassi , Thomas Lukasiewicz , Tommaso Salvatori

The transition from System 1 to System 2 reasoning in large language models (LLMs) has marked significant advancements in handling complex tasks through deliberate, iterative thinking. However, this progress often comes at the cost of…

Computation and Language · Computer Science 2025-05-26 Han Wu , Yuxuan Yao , Shuqi Liu , Zehua Liu , Xiaojin Fu , Xiongwei Han , Xing Li , Hui-Ling Zhen , Tao Zhong , Mingxuan Yuan

Quantitative extensions of logic programming often require the solution of so called second level inference tasks, i.e., problems that involve a third operation, such as maximization or normalization, on top of addition and multiplication,…

Artificial Intelligence · Computer Science 2022-11-14 Rafael Kiesel , Pietro Totis , Angelika Kimmig