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We consider the core reinforcement-learning problem of on-policy value function approximation from a batch of trajectory data, and focus on various issues of Temporal Difference (TD) learning and Monte Carlo (MC) policy evaluation. The two…

We present the partial evolutionary tensor neural networks (pETNNs), a novel framework for solving time-dependent partial differential equations with high accuracy and capable of handling high-dimensional problems. Our architecture…

Numerical Analysis · Mathematics 2025-12-08 Tunan Kao , He Zhang , Lei Zhang , Jin Zhao

Deep reinforcement learning primarily focuses on learning behavior, usually overlooking the fact that an agent's function is largely determined by form. So, how should one go about finding a morphology fit for solving tasks in a given…

Machine Learning · Computer Science 2021-02-26 Donald J. Hejna , Pieter Abbeel , Lerrel Pinto

Modeling sequential patterns from data is at the core of various time series forecasting tasks. Deep learning models have greatly outperformed many traditional models, but these black-box models generally lack explainability in prediction…

Machine Learning · Computer Science 2023-05-23 Yingtao Luo , Chang Xu , Yang Liu , Weiqing Liu , Shun Zheng , Jiang Bian

Operator learning has emerged as a promising paradigm for developing efficient surrogate models to solve partial differential equations (PDEs). However, existing approaches often overlook the domain knowledge inherent in the underlying PDEs…

Machine Learning · Computer Science 2025-10-20 Ziqian Li , Kang Liu , Yongcun Song , Hangrui Yue , Enrique Zuazua

Pretraining for partial differential equation (PDE) modeling has recently shown promise in scaling neural operators across datasets to improve generalizability and performance. Despite these advances, our understanding of how pretraining…

Machine Learning · Computer Science 2024-10-03 Anthony Zhou , Cooper Lorsung , AmirPouya Hemmasian , Amir Barati Farimani

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

Machine Learning · Computer Science 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

Neural operators have achieved promising performance on partial differential equations (PDEs), but most existing models are built on fixed Eulerian coordinates. This mismatch between evolving physical structures and static coordinates…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Chaoyu Liu , Zhonghao Li , Gaohang Chen , Zakhar Shumaylov , Zhongying Deng , Qian Zhang , Zhonghua Qiao , Carola-Bibiane Schönlieb

Accurately solving high-dimensional partial differential equations (PDEs) remains a central challenge in computational mathematics. Traditional numerical methods, while effective in low-dimensional settings or on coarse grids, often…

Numerical Analysis · Mathematics 2025-05-26 Lucas Arenstein , Martin Mikkelsen , Michael Kastoryano

Temporal-difference (TD) learning is highly effective at controlling and evaluating an agent's long-term outcomes. Most approaches in this paradigm implement a semi-gradient update to boost the learning speed, which consists of ignoring the…

Machine Learning · Computer Science 2026-05-15 Théo Vincent , Kevin Gerhardt , Yogesh Tripathi , Habib Maraqten , Adam White , Martha White , Jan Peters , Carlo D'Eramo

This paper addresses the problem of time series forecasting for non-stationary signals and multiple future steps prediction. To handle this challenging task, we introduce DILATE (DIstortion Loss including shApe and TimE), a new objective…

Machine Learning · Statistics 2019-11-12 Vincent Le Guen , Nicolas Thome

Intermediate training of pre-trained transformer-based language models on domain-specific data leads to substantial gains for downstream tasks. To increase efficiency and prevent catastrophic forgetting alleviated from full domain-adaptive…

Computation and Language · Computer Science 2023-05-23 Chia-Chien Hung , Lukas Lange , Jannik Strötgen

When solving partial differential equations (PDEs), classical numerical methods often require fine mesh grids and small time stepping to meet stability, consistency, and convergence conditions, leading to high computational cost. Recently,…

Partial Differential Equations (PDEs) are the bedrock for modern computational sciences and engineering, and inherently computationally expensive. While PDE foundation models have shown much promise for simulating such complex…

Deep learning models are prone to being fooled by imperceptible perturbations known as adversarial attacks. In this work, we study how equipping models with Test-time Transformation Ensembling (TTE) can work as a reliable defense against…

Machine Learning · Computer Science 2021-07-30 Juan C. Pérez , Motasem Alfarra , Guillaume Jeanneret , Laura Rueda , Ali Thabet , Bernard Ghanem , Pablo Arbeláez

In this article we propose a new deep learning approach to approximate operators related to parametric partial differential equations (PDEs). In particular, we introduce a new strategy to design specific artificial neural network (ANN)…

Numerical Analysis · Mathematics 2026-05-01 Arnulf Jentzen , Adrian Riekert , Philippe von Wurstemberger

One of the ways to improve the performance of a target task is to learn the transfer of abundant knowledge of a pre-trained network. However, learning of the pre-trained network requires high computation capability and large-scale labeled…

Computer Vision and Pattern Recognition · Computer Science 2019-08-30 Dae Ha Kim , Seung Hyun Lee , Byung Cheol Song

Prompt tuning has emerged as a key technique for adapting large pre-trained Decision Transformers (DTs) in offline Reinforcement Learning (RL), particularly in multi-task and few-shot settings. The Prompting Decision Transformer (PDT)…

Machine Learning · Computer Science 2025-10-02 Finn Rietz , Oleg Smirnov , Sara Karimi , Lele Cao

It is usually infeasible to fit and train an entire large deep neural network (DNN) model using a single edge device due to the limited resources. To facilitate intelligent applications across edge devices, researchers have proposed…

Machine Learning · Computer Science 2023-11-13 Yuhao Chen , Yuxuan Yan , Qianqian Yang , Yuanchao Shu , Shibo He , Zhiguo Shi , Jiming Chen

Generalizing deep learning models to unknown target domain distribution with low latency has motivated research into test-time training/adaptation (TTT/TTA). Existing approaches often focus on improving test-time training performance under…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Yushu Li , Xun Xu , Yongyi Su , Kui Jia