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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…

Machine Learning · Computer Science 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…

Machine Learning · Statistics 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…

Computation and Language · Computer Science 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…

Artificial Intelligence · Computer Science 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…

Robotics · Computer Science 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,…

Machine Learning · Computer Science 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.…

Computation and Language · Computer Science 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…

Image and Video Processing · Electrical Eng. & Systems 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…

Machine Learning · Computer Science 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…

Numerical Analysis · Mathematics 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Information Theory · Computer Science 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…

Machine Learning · Statistics 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…

Machine Learning · Computer Science 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…

Portfolio Management · Quantitative Finance 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…

Artificial Intelligence · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 2025-05-19 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz