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Large language models (LLMs) are pretrained by minimizing the cross-entropy loss for next-token prediction. In this paper, we study whether this optimization strategy can induce geometric structure in the learned model weights and context…

Optimization and Control · Mathematics 2026-05-14 Zhehang Du , Hangfeng He , Weijie Su

We present Entropic Mutual-Information Geometry Large-Language Model Alignment (ENIGMA), a novel approach to Large-Language Model (LLM) training that jointly improves reasoning, alignment and robustness by treating an organisation's…

Machine Learning · Computer Science 2025-10-17 Gareth Seneque , Lap-Hang Ho , Nafise Erfanian Saeedi , Jeffrey Molendijk , Ariel Kuperman , Tim Elson

Large language models (LLMs) produce high-dimensional embeddings that capture rich semantic and syntactic relationships between words, sentences, and concepts. Investigating the topological structures of LLM embedding spaces via mapper…

Computational Geometry · Computer Science 2025-07-25 Xinyuan Yan , Rita Sevastjanova , Sinie van der Ben , Mennatallah El-Assady , Bei Wang

Representation learning is currently a very hot topic in modern machine learning, mostly due to the great success of the deep learning methods. In particular low-dimensional representation which discriminates classes can not only enhance…

Machine Learning · Computer Science 2015-04-13 Wojciech Marian Czarnecki , Rafał Józefowicz , Jacek Tabor

Text-image alignment constitutes a foundational challenge in multimedia content understanding, where effective modeling of cross-modal semantic correspondences critically enhances retrieval system performance through joint embedding space…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Rongjun Chen , Chengsi Yao , Jinchang Ren , Xianxian Zeng , Peixian Wang , Jun Yuan , Jiawen Li , Huimin Zhao , Xu Lu

Longitudinal MRIs are often used to capture the gradual deterioration of brain structure and function caused by aging or neurological diseases. Analyzing this data via machine learning generally requires a large number of ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jiahong Ouyang , Qingyu Zhao , Ehsan Adeli , Edith V Sullivan , Adolf Pfefferbaum , Greg Zaharchuk , Kilian M Pohl

Text embedding has become a foundational technology in natural language processing (NLP) during the deep learning era, driving advancements across a wide array of downstream tasks. While many natural language understanding challenges can…

Computation and Language · Computer Science 2025-10-22 Zhijie Nie , Zhangchi Feng , Mingxin Li , Cunwang Zhang , Yanzhao Zhang , Dingkun Long , Richong Zhang

Understanding how large language models (LLMs) represent natural language is a central challenge in natural language processing (NLP) research. Many existing methods extract word embeddings from an LLM, visualise the embedding space via…

Computation and Language · Computer Science 2026-01-12 Thomas Fabian

As the online learning landscape evolves, the need for personalization is increasingly evident. Although educational resources are burgeoning, educators face challenges selecting materials that both align with intended learning outcomes and…

Computers and Society · Computer Science 2025-12-16 Mohammadreza Molavi , Mohammad Moein , Mohammadreza Tavakoli , Abdolali Faraji , Stefan T. Mol , Gábor Kismihók

Large Lanugage Models (LLMs) are gaining increasing popularity in a variety of use cases, from language understanding and writing to assistance in application development. One of the most important aspects for optimal funcionality of LLMs…

Computation and Language · Computer Science 2024-01-02 Yash Bingi , Yiqiao Yin

Accurate representation of building semantics, encompassing both generic object types and specific subtypes, is essential for effective AI model training in the architecture, engineering, construction, and operation (AECO) industry.…

Artificial Intelligence · Computer Science 2026-02-18 Suhyung Jang , Ghang Lee , Jaekun Lee , Hyunjun Lee

Recommendation problems with large numbers of discrete items, such as products, webpages, or videos, are ubiquitous in the technology industry. Deep neural networks are being increasingly used for these recommendation problems. These models…

Machine Learning · Computer Science 2019-07-11 Manas R. Joglekar , Cong Li , Jay K. Adams , Pranav Khaitan , Quoc V. Le

Large language models (LLMs) have achieved remarkable performance on diverse benchmarks, yet existing evaluation practices largely rely on coarse summary metrics that obscure underlying reasoning abilities. In this work, we propose novel…

Methodology · Statistics 2026-03-17 Jia Liu , Zhiyu Xu , Yuqi Gu

The rapid advancement of large language models (LLMs) has enabled significant strides in various fields. This paper introduces a novel approach to evaluate the effectiveness of LLM embeddings in the context of inherent geometric properties.…

Computational Geometry · Computer Science 2025-12-29 Prakash Chourasia , Sarwan Ali , Murray Patterson

Visual-language models (VLMs) have recently been introduced in robotic mapping using the latent representations, i.e., embeddings, of the VLMs to represent semantics in the map. They allow moving from a limited set of human-created labels…

Robotics · Computer Science 2025-09-23 Matti Pekkanen , Tsvetomila Mihaylova , Francesco Verdoja , Ville Kyrki

Embeddings have become a pivotal means to represent complex, multi-faceted information about entities, concepts, and relationships in a condensed and useful format. Nevertheless, they often preclude direct interpretation. While downstream…

Entity alignment, which is a prerequisite for creating a more comprehensive Knowledge Graph (KG), involves pinpointing equivalent entities across disparate KGs. Contemporary methods for entity alignment have predominantly utilized knowledge…

Computation and Language · Computer Science 2024-01-31 Linyao Yang , Hongyang Chen , Xiao Wang , Jing Yang , Fei-Yue Wang , Han Liu

Large Language Models (LLMs) have become a cornerstone in Natural Language Processing (NLP), achieving impressive performance in text generation. Their token-level representations capture rich, human-aligned semantics. However, pooling…

Computation and Language · Computer Science 2025-09-25 Benedikt Roth , Stephan Rappensperger , Tianming Qiu , Hamza Imamović , Julian Wörmann , Hao Shen

Deep learning based techniques have been recently used with promising results for data integration problems. Some methods directly use pre-trained embeddings that were trained on a large corpus such as Wikipedia. However, they may not…

Databases · Computer Science 2020-09-04 Riccardo Cappuzzo , Paolo Papotti , Saravanan Thirumuruganathan

Hyperbolic geometry is an effective geometry for embedding hierarchical data structures. Hyperbolic learning has therefore become increasingly prominent in machine learning applications where data is hierarchically organized or governed by…

Artificial Intelligence · Computer Science 2025-11-27 Melika Ayoughi , Pascal Mettes , Paul Groth
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