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To drive progress in science and engineering, large language models (LLMs) must be able to process large amounts of numerical data and solve long calculations efficiently. This is currently only possible through the use of external tools or…

Machine Learning · Computer Science 2026-05-21 Linus Kreitner , Paul Hager , Jonathan Mengedoht , Georgios Kaissis , Daniel Rueckert , Martin J. Menten

Large pre-trained models (LMs) and Large Language Models (LLMs) are typically effective at capturing language semantics and contextual relationships. However, these models encounter challenges in maintaining optimal performance on tasks…

Artificial Intelligence · Computer Science 2026-03-06 Gyanendra Shrestha , Anna Pyayt , Michael Gubanov

Pre-trained large language models (LLMs) exhibit impressive mathematical reasoning capabilities, yet how they compute basic arithmetic, such as addition, remains unclear. This paper shows that pre-trained LLMs add numbers using Fourier…

Machine Learning · Computer Science 2024-06-06 Tianyi Zhou , Deqing Fu , Vatsal Sharan , Robin Jia

We propose $SCONE$ ($S$calable, $C$ontextualized, $O$ffloaded, $N$-gram $E$mbedding), a new method for extending input embedding layers to enhance language model performance. To avoid increased decoding costs, $SCONE$ retains the original…

Computation and Language · Computer Science 2025-10-27 Da Yu , Edith Cohen , Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Daogao Liu , Chiyuan Zhang

Pre-training decoder-only language models relies on vast amounts of high-quality data, yet the availability of such data is increasingly reaching its limits. While metadata is commonly used to create and curate these datasets, its potential…

Computation and Language · Computer Science 2025-12-09 Sebastian Sztwiertnia , Felix Friedrich , Kristian Kersting , Patrick Schramowski , Björn Deiseroth

Network embedding aims to find a way to encode network by learning an embedding vector for each node in the network. The network often has property information which is highly informative with respect to the node's position and role in the…

Social and Information Networks · Computer Science 2018-11-28 Enya Shen , Zhidong Cao , Changqing Zou , Jianmin Wang

Large language models (LLMs) demonstrate strong performance as text embedding models when finetuned with supervised contrastive training. However, their large size balloons inference time and memory requirements. In this paper, we show that…

Computation and Language · Computer Science 2024-10-21 Thennal D K , Tim Fischer , Chris Biemann

Large language models (LLMs) have enabled the creation of multi-modal LLMs that exhibit strong comprehension of visual data such as images and videos. However, these models usually rely on extensive visual tokens from visual encoders,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Yiwu Zhong , Zhuoming Liu , Yin Li , Liwei Wang

Many successful methods have been proposed for learning low dimensional representations on large-scale networks, while almost all existing methods are designed in inseparable processes, learning embeddings for entire networks even when only…

Machine Learning · Computer Science 2019-02-27 Ziyao Li , Liang Zhang , Guojie Song

The advent of large language models (LLMs) has significantly advanced artificial intelligence (AI) in software engineering (SE), with source code embeddings playing a crucial role in tasks such as source code clone detection and source code…

Software Engineering · Computer Science 2025-06-04 Zixiang Xian , Chenhui Cui , Rubing Huang , Chunrong Fang , Zhenyu Chen

We propose a new class of linear Transformers called FourierLearner-Transformers (FLTs), which incorporate a wide range of relative positional encoding mechanisms (RPEs). These include regular RPE techniques applied for sequential data, as…

In neural network-based models for natural language processing (NLP), the largest part of the parameters often consists of word embeddings. Conventional models prepare a large embedding matrix whose size depends on the vocabulary size.…

Computation and Language · Computer Science 2020-10-26 Sho Takase , Sosuke Kobayashi

We present the Fourier-Invertible Neural Encoder (FINE), a compact and interpretable architecture for dimension reduction in translation-equivariant datasets. FINE integrates reversible filters and monotonic activation functions with a…

Machine Learning · Computer Science 2025-12-02 Anqiao Ouyang , Hongyi Ke , Qi Wang

Task embedding, a meta-learning technique that captures task-specific information, has gained popularity, especially in areas such as multi-task learning, model editing, and interpretability. However, it faces challenges with the emergence…

Computation and Language · Computer Science 2024-07-15 Xinyu Wang , Hainiu Xu , Lin Gui , Yulan He

In this paper, we propose the new fixed-size ordinally-forgetting encoding (FOFE) method, which can almost uniquely encode any variable-length sequence of words into a fixed-size representation. FOFE can model the word order in a sequence…

Neural and Evolutionary Computing · Computer Science 2015-06-17 Shiliang Zhang , Hui Jiang , Mingbin Xu , Junfeng Hou , Lirong Dai

Large language models (LLMs) face significant token efficiency bottlenecks in code generation and logical reasoning tasks, a challenge that directly impacts inference cost and model interpretability. This paper proposes a formal framework…

Artificial Intelligence · Computer Science 2025-02-03 Lumen AI , Tengzhou No. 1 Middle School , Shihao Ji , Zihui Song , Fucheng Zhong , Jisen Jia , Zhaobo Wu , Zheyi Cao , Tianhao Xu

Recently, Multi-modal Large Language Models (MLLMs) have shown remarkable effectiveness for multi-modal tasks due to their abilities to generate and understand cross-modal data. However, processing long sequences of visual tokens extracted…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Haicheng Wang , Zhemeng Yu , Gabriele Spadaro , Chen Ju , Victor Quétu , Shuai Xiao , Enzo Tartaglione

Text embeddings from large language models (LLMs) have achieved excellent results in tasks such as information retrieval, semantic textual similarity, etc. In this work, we show an interesting finding: when feeding a text into the LLM-based…

Computation and Language · Computer Science 2025-07-08 Zhijie Nie , Richong Zhang , Zhanyu Wu

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training…

Machine Learning · Statistics 2026-03-18 Nuri Mert Vural , Alberto Bietti , Mahdi Soltanolkotabi , Denny Wu

The capabilities of Large Language Models (LLMs) in low-resource languages lag far behind those in English, making their universal accessibility a significant challenge. To alleviate this, we present $\textit{Franken-Adapter}$, a modular…

Computation and Language · Computer Science 2025-02-13 Fan Jiang , Honglin Yu , Grace Chung , Trevor Cohn
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