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Neural networks can approximate solutions to partial differential equations, but they often break the very laws they are meant to model-creating mass from nowhere, drifting shocks, or violating conservation and entropy. We address this by…

机器学习 · 计算机科学 2025-11-06 Mainak Singha

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

机器学习 · 统计学 2018-06-19 Marco Lorenzi , Maurizio Filippone

Deep learning has emerged as a versatile tool for a wide range of NLP tasks, due to its superior capacity in representation learning. But its applicability is limited by the reliance on annotated examples, which are difficult to produce at…

计算与语言 · 计算机科学 2018-08-28 Hai Wang , Hoifung Poon

We propose DiffusionRollout, a novel selective rollout planning strategy for autoregressive diffusion models, aimed at mitigating error accumulation in long-horizon predictions of physical systems governed by partial differential equations…

人工智能 · 计算机科学 2026-02-17 Seungwoo Yoo , Juil Koo , Daehyeon Choi , Minhyuk Sung

End-to-end learning has emerged as a transformative paradigm in autonomous driving. However, the inherently multimodal nature of driving behaviors and the generalization challenges in long-tail scenarios remain critical obstacles to robust…

机器人学 · 计算机科学 2025-05-27 Rui Zhao , Yuze Fan , Ziguo Chen , Fei Gao , Zhenhai Gao

Probabilistic load forecasting is widely studied and underpins power system planning, operation, and risk-aware decision making. Deep learning forecasters have shown strong ability to capture complex temporal and contextual patterns,…

机器学习 · 计算机科学 2025-11-25 Haoran Li , Zhe Cheng , Muhao Guo , Yang Weng , Yannan Sun , Victor Tran , John Chainaranont

Entity Set Expansion (ESE) is a promising task which aims to expand entities of the target semantic class described by a small seed entity set. Various NLP and IR applications will benefit from ESE due to its ability to discover knowledge.…

计算与语言 · 计算机科学 2022-04-26 Yinghui Li , Yangning Li , Yuxin He , Tianyu Yu , Ying Shen , Hai-Tao Zheng

End-to-End (E2E) unrolled optimization frameworks show promise for Magnetic Resonance (MR) image recovery, but suffer from high memory usage during training. In addition, these deterministic approaches do not offer opportunities for…

图像与视频处理 · 电气工程与系统科学 2024-02-09 Jyothi Rikhab Chand , Mathews Jacob

Physical systems whose dynamics are governed by partial differential equations (PDEs) find applications in numerous fields, from engineering design to weather forecasting. The process of obtaining the solution from such PDEs may be…

机器学习 · 计算机科学 2022-09-21 Pratyush Bhatt , Yash Kumar , Azzeddine Soulaimani

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

Deep neural networks achieve impressive results across diverse applications, yet their overconfidence on unseen inputs necessitates reliable epistemic uncertainty modelling. Existing methods for uncertainty modelling face a fundamental…

机器学习 · 计算机科学 2026-05-04 Yao Ni , Jeremie Houssineau , Yew Soon Ong , Piotr Koniusz

We utilize extreme-learning machines for the prediction of partial differential equations (PDEs). Our method splits the state space into multiple windows that are predicted individually using a single model. Despite requiring only few data…

机器学习 · 计算机科学 2024-08-20 Hans Harder , Jean Rabault , Ricardo Vinuesa , Mikael Mortensen , Sebastian Peitz

\emph{Integrated communication and computation} (IC$^2$) has emerged as a new paradigm for enabling efficient edge inference in sixth-generation (6G) networks. However, the design of IC$^2$ technologies is hindered by the lack of a…

信息论 · 计算机科学 2026-03-04 Jierui Zhang , Jianhao Huang , Kaibin Huang

We propose a novel method for closed-form predictive distribution modeling with neural nets. In quantifying prediction uncertainty, we build on Evidential Deep Learning, which has been impactful as being both simple to implement and giving…

机器学习 · 统计学 2021-01-22 Manuel Haussmann , Sebastian Gerwinn , Melih Kandemir

This paper questions the effectiveness of a modern predictive uncertainty quantification approach, called \emph{evidential deep learning} (EDL), in which a single neural network model is trained to learn a meta distribution over the…

机器学习 · 计算机科学 2024-11-04 Maohao Shen , J. Jon Ryu , Soumya Ghosh , Yuheng Bu , Prasanna Sattigeri , Subhro Das , Gregory W. Wornell

Active investing aims to construct a portfolio of assets that are believed to be relatively profitable in the markets, with one popular method being to construct a portfolio via factor-based strategies. In recent years, there have been…

投资组合管理 · 定量金融 2024-02-13 Zikai Wei , Bo Dai , Dahua Lin

Recently, machine learning methods have gained significant traction in scientific computing, particularly for solving Partial Differential Equations (PDEs). However, methods based on deep neural networks (DNNs) often lack convergence…

人工智能 · 计算机科学 2025-06-16 Li Liu , Heng Yong

Physics-informed neural networks (PINNs) have recently emerged as a prominent paradigm for solving partial differential equations (PDEs), yet their training strategies remain underexplored. While hard prioritization methods inspired by…

机器学习 · 计算机科学 2025-12-22 Zhaoqian Gao , Min Yanga

Despite the promise of scientific machine learning (SciML) in combining data-driven techniques with mechanistic modeling, existing approaches for incorporating hard constraints in neural differential equations (NDEs) face significant…

机器学习 · 计算机科学 2025-05-28 Avik Pal , Alan Edelman , Christopher Rackauckas

End-to-end learning has become a widely applicable and studied problem in training predictive ML models to be aware of their impact on downstream decision-making tasks. These end-to-end models often outperform traditional methods that…

机器学习 · 计算机科学 2025-05-19 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz