Paper Citation Record · LEDGER

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions

As of 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 3 inbound Pith citation observations for arXiv:2502.06026.

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pith.paper-citation-record.v1
2502.06026 v1

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Reference resolution

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Outbound references

Observation f3b9c293-6d31-4c56-b193-7119377e0900 · outbound

This paper cites GPT-4 Technical Report.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions GPT-4 Technical Report

Reference 1

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This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Neural Machine Translation by Jointly Learning to Align and Translate

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This paper cites Brown, B.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Brown, B

Reference 3

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This paper cites Choose a transformer: Fourier or galerkin.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Choose a transformer: Fourier or galerkin

Reference 4

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This paper cites Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction

Reference 5

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This paper cites Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems

Reference 6

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This paper cites Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning

Reference 7

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This paper cites Machine learning for numerical weather and climate modelling: a review.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Machine learning for numerical weather and climate modelling: a review

Reference 8

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This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 9

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This paper cites PaLM-E: An Embodied Multimodal Language Model.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions PaLM-E: An Embodied Multimodal Language Model

Reference 10

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This paper cites Deep multi-modal object detection and semantic segmentation for au- tonomous driving: Datasets, methods, and challenges.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Deep multi-modal object detection and semantic segmentation for au- tonomous driving: Datasets, methods, and challenges

Reference 11

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This paper cites Foundation models in robotics: Applications, challenges, and the future.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Foundation models in robotics: Applications, challenges, and the future

Reference 12

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This paper cites xVal: A Continuous Numerical Tokenization for Scientific Language Models.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions xVal: A Continuous Numerical Tokenization for Scientific Language Models

Reference 13

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This paper cites Pre-trained models: Past, present and future.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Pre-trained models: Past, present and future

Reference 14

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This paper cites Poseidon: Efficient Foundation Models for PDEs.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Poseidon: Efficient Foundation Models for PDEs

Reference 15

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This paper cites A comprehensive survey of regression-based loss functions for time series forecasting.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions A comprehensive survey of regression-based loss functions for time series forecasting

Reference 16

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Observation 1ad5aa40-463e-45a7-af84-4e6fa20e5039 · outbound

This paper cites Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model

Reference 17

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This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 18

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Importance of Search and Evaluation Strategies in Neural Dialogue Modeling

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions VisualBERT: A Simple and Performant Baseline for Vision and Language

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Fourier Neural Operator for Parametric Partial Differential Equations

Reference 21

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This paper cites Accelerated replica exchange stochastic gradient Langevin diffusion enhanced Bayesian DeepONet for solving noisy parametric PDEs.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Accelerated replica exchange stochastic gradient Langevin diffusion enhanced Bayesian DeepONet for solving noisy parametric PDEs

Reference 22

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Multimodal motion prediction with stacked transformers

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Prose: Predicting multiple operators and symbolic expres- sions using multimodal transformers

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Lorsung, Z

Reference 26

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Vilbert: Pretraining task-agnostic visiolinguistic repre- sentations for vision-and-language tasks

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 29

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Analyzing uncertainty in neural machine translation

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions A survey on transfer learning

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions A survey on artificial neural networks application for identification and control in environmental engineering: Biological and chemical systems with uncertain models

Reference 32

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Language models are unsupervised multitask learners

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Ramesh, M

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Schaeffer

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Financial time series forecasting with deep learning: A systematic literature review: 2005–2019

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions LXMERT: Learning Cross-Modality Encoder Representations from Transformers

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Are language models actually useful for time series forecasting? In The Thirty-eighth Annual Conference on Neural Information Processing Systems, 2024

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions LLaMA: Open and Efficient Foundation Language Models

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Gomez, Lukasz Kaiser, and Illia Polosukhin

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Multimodal learning with transformers: A survey

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions In-context operator learning with data prompts for differential equation problems

Reference 46

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This paper cites Fine-Tune Language Models as Multi-Modal Differential Equation Solvers.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Fine-Tune Language Models as Multi-Modal Differential Equation Solvers

Reference 47

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions PDEformer-1: A Foundation Model for One-Dimensional Partial Differential Equations

Reference 49

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Scientific Large Language Models: A Survey on Biological & Chemical Domains

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A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Bayesian deep operator learning for homogenized to fine-scale maps for multiscale pde

Reference 51

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Pith citing papers

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PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations cites this paper.

PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions

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Observation c50c2aa6-a397-49c5-a841-23f220d66873 · inbound

MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data cites this paper.

MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-05-13T22:48:23.065216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 06b55744-e4d3-44c1-be44-f6f35a6362b6 · inbound

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning cites this paper.

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:34:42.692167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.