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Multi-layer perceptrons (MLP) have proven to be effective scene encoders when combined with higher-dimensional projections of the input, commonly referred to as \textit{positional encoding}. However, scenes with a wide frequency spectrum…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Zoe Landgraf , Alexander Sorkine Hornung , Ricardo Silveira Cabral

Large Language Models (LLMs) typically represent numbers using multiple tokens, which requires the model to aggregate these tokens to interpret numerical values. This fragmentation makes both training and inference less efficient and…

Computation and Language · Computer Science 2026-04-22 Tianyi Zhou , Deqing Fu , Mahdi Soltanolkotabi , Robin Jia , Vatsal Sharan

Graph Transformers (GTs) facilitate the comprehension of graph-structured data by calculating the self-attention of node pairs without considering node position information. To address this limitation, we introduce an innovative and…

Machine Learning · Computer Science 2023-12-12 Kushal Bose , Swagatam Das

Supervised learning with tabular data presents unique challenges, including low data sizes, the absence of structural cues, and heterogeneous features spanning both categorical and continuous domains. Unlike vision and language tasks, where…

Machine Learning · Computer Science 2025-12-18 Yunze Leng , Rohan Ghosh , Mehul Motani

The recent rise of generative artificial intelligence (AI), powered by Transformer networks, has achieved remarkable success in natural language processing, computer vision, and graphics. However, the application of Transformers in…

Graphics · Computer Science 2025-09-01 Qiang Zou , Lizhen Zhu

In order to understand the in-context learning phenomenon, recent works have adopted a stylized experimental framework and demonstrated that Transformers can learn gradient-based learning algorithms for various classes of real-valued…

Machine Learning · Computer Science 2023-10-05 Satwik Bhattamishra , Arkil Patel , Phil Blunsom , Varun Kanade

We show that passing input points through a simple Fourier feature mapping enables a multilayer perceptron (MLP) to learn high-frequency functions in low-dimensional problem domains. These results shed light on recent advances in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Matthew Tancik , Pratul P. Srinivasan , Ben Mildenhall , Sara Fridovich-Keil , Nithin Raghavan , Utkarsh Singhal , Ravi Ramamoorthi , Jonathan T. Barron , Ren Ng

While protein language models (PLMs) are one of the most promising avenues of research for future de novo protein design, the way in which they transform sequences to hidden representations, as well as the information encoded in such…

Machine Learning · Computer Science 2026-05-29 Kosio Beshkov , Anders Malthe-Sørenssen

In this work, we revisit the Transformer-based pre-trained language models and identify two different types of information confusion in position encoding and model representations, respectively. Firstly, we show that in the relative…

Computation and Language · Computer Science 2023-02-10 Haojie Zhang , Mingfei Liang , Ruobing Xie , Zhenlong Sun , Bo Zhang , Leyu Lin

Transformer architectures have achieved great success in solving natural language tasks, which learn strong language representations from large-scale unlabeled texts. In this paper, we seek to go further beyond and explore a new logical…

Computation and Language · Computer Science 2023-02-21 Jianshu Chen

Length generalization is the ability of language models to maintain performance on inputs longer than those seen during pretraining. In this work, we introduce a simple yet powerful position encoding (PE) strategy, Random Float Sampling…

Machine Learning · Computer Science 2026-02-17 Atsushi Shimizu , Shohei Taniguchi , Yutaka Matsuo

Fast Fourier Transforms (FFT) are widely used to reduce memory and computational costs in deep learning. However, existing implementations, including standard FFT and real FFT (rFFT), cannot achieve true in-place computation. In particular,…

Machine Learning · Computer Science 2025-12-23 Xinyu Ding , Bangtian Liu , Siyu Liao , Zhongfeng Wang

Positional embeddings (PE) play a crucial role in Vision Transformers (ViTs) by providing spatial information otherwise lost due to the permutation invariant nature of self attention. While absolute positional embeddings (APE) have shown…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Md Abtahi Majeed Chowdhury , Md Rifat Ur Rahman , Akil Ahmad Taki

Tabular data are crucial in many fields and their understanding by large language models (LLMs) under high parameter efficiency paradigm is important. However, directly applying parameter-efficient fine-tuning (PEFT) techniques to tabular…

Computation and Language · Computer Science 2025-06-30 Xinyi He , Yihao Liu , Mengyu Zhou , Yeye He , Haoyu Dong , Shi Han , Zejian Yuan , Dongmei Zhang

In Transformers, Position Embeddings (PEs) significantly influence Length Generalization (LG) performance, yet their fundamental role remains unclear. In this work, we investigate the limitations and capabilities of PEs in achieving LG. We…

Machine Learning · Computer Science 2025-10-07 Yang Chen , Yitao Liang , Zhouchen Lin

The recent success of neural networks as implicit representation of data has driven growing interest in neural functionals: models that can process other neural networks as input by operating directly over their weight spaces. Nevertheless,…

Machine Learning · Computer Science 2023-05-24 Allan Zhou , Kaien Yang , Yiding Jiang , Kaylee Burns , Winnie Xu , Samuel Sokota , J. Zico Kolter , Chelsea Finn

Physics-Informed Neural Networks (PINNs) have emerged as a promising deep learning framework for approximating numerical solutions to partial differential equations (PDEs). However, conventional PINNs, relying on multilayer perceptrons…

Computational Engineering, Finance, and Science · Computer Science 2024-05-08 Zhiyuan Zhao , Xueying Ding , B. Aditya Prakash

In this study, we focus on the training process and inference improvements of deep neural networks (DNNs), specifically Autoencoders (AEs) and Variational Autoencoders (VAEs), using Random Fourier Transformation (RFT). We further explore…

Machine Learning · Computer Science 2026-02-26 Ata Akbari Asanjan , Milad Memarzadeh , Bryan Matthews , Nikunj Oza

We introduce the Byte Latent Transformer (BLT), a new byte-level LLM architecture that, for the first time, matches tokenization-based LLM performance at scale with significant improvements in inference efficiency and robustness. BLT…

When existing retrieval-augmented generation (RAG) solutions are intended to be used for new knowledge domains, it is necessary to update their encoders, which are taken to be pretrained large language models (LLMs). However, fully…

Machine Learning · Computer Science 2025-09-23 Marijan Fofonjka , Shahryar Zehtabi , Alireza Behtash , Tyler Mauer , David Stout