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The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy,…

Numerical Analysis · Mathematics 2023-08-23 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

Neural networks are universal approximators and are studied for their use in solving differential equations. However, a major criticism is the lack of error bounds for obtained solutions. This paper proposes a technique to rigorously…

Computational Engineering, Finance, and Science · Computer Science 2023-06-07 Shuheng Liu , Xiyue Huang , Pavlos Protopapas

Online recommender systems (RS) aim to match user needs with the vast amount of resources available on various platforms. A key challenge is to model user preferences accurately under the condition of data sparsity. To address this…

Information Retrieval · Computer Science 2023-09-20 Ning Wu , Ming Gong , Linjun Shou , Jian Pei , Daxin Jiang

Preference-based reward learning is widely used for shaping agent behavior to match a user's preference, yet its sparse binary feedback makes it especially vulnerable to causal confusion. The learned reward often latches onto spurious…

Artificial Intelligence · Computer Science 2026-03-06 Minjune Hwang , Yigit Korkmaz , Daniel Seita , Erdem Bıyık

Forward Gradients - the idea of using directional derivatives in forward differentiation mode - have recently been shown to be utilizable for neural network training while avoiding problems generally associated with backpropagation gradient…

Machine Learning · Computer Science 2023-06-13 Louis Fournier , Stéphane Rivaud , Eugene Belilovsky , Michael Eickenberg , Edouard Oyallon

Coordinate transformation models often fail to account for nonlinear and spatially dependent distortions, leading to significant residual errors in geospatial applications. Here we propose a residual-based neural correction strategy, in…

Recent work on recursive architectures has shown that tiny neural networks can be surprisingly powerful on structured reasoning tasks. The trick is to model reasoning trajectories with a latent dynamical system. We argue that the…

Artificial Intelligence · Computer Science 2026-05-28 Andrew Corbett , Archit Sood , Anna Tzatzopoulou , Sai-Aakash Ramesh , Tim Dodwell

Despite deep-learning being state-of-the-art for data-driven model predictions, it has not yet found frequent application in ecology. Given the low sample size typical in many environmental research fields, the default choice for the…

Applications · Statistics 2022-09-29 Marieke Wesselkamp , Niklas Moser , Maria Kalweit , Joschka Boedecker , Carsten F. Dormann

Parameter estimation of nonlinear state-space models from input-output data typically requires solving a highly non-convex optimization problem prone to slow convergence and suboptimal solutions. This work improves the reliability and…

Signal Processing · Electrical Eng. & Systems 2026-02-27 Merijn Floren , Jan Swevers

Repeated Sampling (RS) is a simple inference-time algorithm that has been shown to improve model performance on complex tasks. Although it is an effective way of scaling inference time, it often struggles to generate diverse solution…

Artificial Intelligence · Computer Science 2026-02-17 Divij Handa , Mihir Parmar , Aswin RRV , Md Nayem Uddin , Hamid Palangi , Chitta Baral

While interests in tabular deep learning has significantly grown, conventional tree-based models still outperform deep learning methods. To narrow this performance gap, we explore the innovative retrieval mechanism, a methodology that…

Machine Learning · Computer Science 2023-11-14 Felix den Breejen , Sangmin Bae , Stephen Cha , Tae-Young Kim , Seoung Hyun Koh , Se-Young Yun

Recurrent neural networks (RNNs) were recently proposed for the session-based recommendation task. The models showed promising improvements over traditional recommendation approaches. In this work, we further study RNN-based models for…

Machine Learning · Computer Science 2016-09-19 Yong Kiam Tan , Xinxing Xu , Yong Liu

Mathematical models in neural networks are powerful tools for solving complex differential equations and optimizing their parameters; that is, solving the forward and inverse problems, respectively. A forward problem predicts the output of…

Machine Learning · Computer Science 2025-07-29 Aarush Gupta , Kendric Hsu , Syna Mathod

Predictive coding networks are neural models that perform inference through an iterative energy minimization process, whose operations are local in space and time. While effective in shallow architectures, they suffer significant…

Machine Learning · Computer Science 2025-10-13 Chang Qi , Matteo Forasassi , Thomas Lukasiewicz , Tommaso Salvatori

Retrieval-augmented generation (RAG) has become a powerful framework for enhancing large language models in knowledge-intensive and reasoning tasks. However, as reasoning chains deepen or search trees expand, RAG systems often face two…

Information Retrieval · Computer Science 2026-01-19 Shuguang Jiao , Xinyu Xiao , Yunfan Wei , Shuhan Qi , Chengkai Huang , Quan Z. Michael Sheng , Lina Yao

Providing user-understandable explanations to justify recommendations could help users better understand the recommended items, increase the system's ease of use, and gain users' trust. A typical approach to realize it is natural language…

Information Retrieval · Computer Science 2023-01-16 Lei Li , Yongfeng Zhang , Li Chen

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

REgularization by Denoising (RED) is an attractive framework for solving inverse problems by incorporating state-of-the-art denoising algorithms as the priors. A drawback of this approach is the high computational complexity of denoisers,…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Tao Hong , Irad Yavneh , Michael Zibulevsky

Visual explanation (attention)-guided learning uses not only labels but also explanations to guide model reasoning process. While visual attention-guided learning has shown promising results, it requires a large number of explanation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Yifei Zhang , Siyi Gu , Bo Pan , Guangji Bai , Meikang Qiu , Xiaofeng Yang , Liang Zhao

Equation discovery methods enable modelers to combine domain-specific knowledge and system identification to construct models most suitable for a selected modeling task. The method described and evaluated in this paper can be used as a…

Machine Learning · Computer Science 2019-07-02 Nikola Simidjievski , Ljupčo Todorovski , Juš Kocijan , Sašo Džeroski