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A general method for accelerating fixed point schemes for problems related to partial differential equations is presented in this article. The speedup is obtained by training a reduced-order model on-the-fly, removing the need to do an…

Numerical Analysis · Mathematics 2025-12-01 Philippe-André Luneau , Jean Deteix

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

Robotics · Computer Science 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

To guide the generation of large pretrained language models (LM), previous work has focused on directly fine-tuning the language model or utilizing an attribute discriminator. In this work, we propose a novel lightweight framework for…

Computation and Language · Computer Science 2022-03-01 Jing Qian , Li Dong , Yelong Shen , Furu Wei , Weizhu Chen

We introduce Latent Gaussian Process Regression which is a latent variable extension allowing modelling of non-stationary multi-modal processes using GPs. The approach is built on extending the input space of a regression problem with a…

Machine Learning · Statistics 2017-09-19 Erik Bodin , Neill D. F. Campbell , Carl Henrik Ek

First-order operator splitting methods are ubiquitous among many fields through science and engineering, such as inverse problems, signal/image processing, statistics, data science and machine learning, to name a few. In this paper, we…

Optimization and Control · Mathematics 2020-09-10 Clarice Poon , Jingwei Liang

We introduce a new paradigm for AutoRegressive (AR) image generation, termed Set AutoRegressive Modeling (SAR). SAR generalizes the conventional AR to the next-set setting, i.e., splitting the sequence into arbitrary sets containing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Wenze Liu , Le Zhuo , Yi Xin , Sheng Xia , Peng Gao , Xiangyu Yue

Autoregressive conditional image generation algorithms are capable of generating photorealistic images that are consistent with given textual or image conditions, and have great potential for a wide range of applications. Nevertheless, the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Qiaoying Qu , Shiyu Shen

Prior work on generating explanations in a planning and decision-making context has focused on providing the rationale behind an AI agent's decision making. While these methods provide the right explanations from the explainer's…

Artificial Intelligence · Computer Science 2020-10-20 Mehrdad Zakershahrak , Shashank Rao Marpally , Akshay Sharma , Ze Gong , Yu Zhang

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

Machine Learning · Computer Science 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

We introduce TreeMeshGPT, an autoregressive Transformer designed to generate high-quality artistic meshes aligned with input point clouds. Instead of the conventional next-token prediction in autoregressive Transformer, we propose a novel…

Graphics · Computer Science 2025-03-17 Stefan Lionar , Jiabin Liang , Gim Hee Lee

We introduce Transformer Grammars (TGs), a novel class of Transformer language models that combine (i) the expressive power, scalability, and strong performance of Transformers and (ii) recursive syntactic compositions, which here are…

Computation and Language · Computer Science 2022-12-07 Laurent Sartran , Samuel Barrett , Adhiguna Kuncoro , Miloš Stanojević , Phil Blunsom , Chris Dyer

Following Mizuno, Fujimoto, and Ishikawa's research (Front. Phys. 2022), we transpose geographical coordinates expressed in latitude and longitude into distinctive location tokens that embody positions across varied spatial scales. We…

Machine Learning · Computer Science 2023-08-17 Taizo Horikomi , Shouji Fujimoto , Atushi Ishikawa , Takayuki Mizuno

Neural sequence generation is typically performed token-by-token and left-to-right. Whenever a token is generated only previously produced tokens are taken into consideration. In contrast, for problems such as sequence classification,…

Machine Learning · Statistics 2019-09-18 Carolin Lawrence , Bhushan Kotnis , Mathias Niepert

Position embeddings, encoding the positional relationships among tokens in text sequences, make great contributions to modeling local context features in Transformer-based pre-trained language models. However, in Extractive Question…

Computation and Language · Computer Science 2023-11-21 Mingxu Tao , Yansong Feng , Dongyan Zhao

We build a Generative Pre-trained Transformer (GPT) model from scratch to solve sequential decision making tasks arising in contexts of operations research and management science which we call OMGPT. We first propose a general sequence…

Machine Learning · Computer Science 2025-05-21 Hanzhao Wang , Guanting Chen , Kalyan Talluri , Xiaocheng Li

We develop a generic mechanism for generating vehicle-type specific sequences of waypoints from a probabilistic foundation model of driving behavior. Many foundation behavior models are trained on data that does not include vehicle…

Artificial Intelligence · Computer Science 2023-05-22 Yunpeng Liu , Jonathan Wilder Lavington , Adam Scibior , Frank Wood

Prompt engineering is a crucial yet challenging task for optimizing the performance of large language models (LLMs) on customized tasks. This pioneering research introduces the Automatic Prompt Engineering Toolbox (APET), which enables…

Computation and Language · Computer Science 2024-07-17 Daan Kepel , Konstantina Valogianni

Modern generative models are usually designed to match target distributions directly in the data space, where the intrinsic dimension of data can be much lower than the ambient dimension. We argue that this discrepancy may contribute to the…

Machine Learning · Computer Science 2020-07-02 Zijun Zhang , Ruixiang Zhang , Zongpeng Li , Yoshua Bengio , Liam Paull

Transformer-based language models are effective but complex, and understanding their inner workings and reasoning mechanisms is a significant challenge. Previous research has primarily explored how these models handle simple tasks like name…

Computation and Language · Computer Science 2025-05-20 Zeyuan Allen-Zhu , Yuanzhi Li

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle