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Physics-informed neural networks (PINNs) have plateaued at errors of $10^{-3}$-$10^{-4}$ for fourth-order partial differential equations, creating a perceived precision ceiling that limits their adoption in engineering applications. We…

Machine Learning · Computer Science 2025-07-29 Wei Shan Lee , Chi Kiu Althina Chau , Kei Chon Sio , Kam Ian Leong

Neural networks can be regarded as a new programming paradigm, i.e., instead of building ever-more complex programs through (often informal) logical reasoning in the programmers' mind, complex 'AI' systems are built by optimising generic…

Artificial Intelligence · Computer Science 2022-02-22 Richard Schumi , Jun Sun

Classical Machine Learning (ML) pipelines often comprise of multiple ML models where models, within a pipeline, are trained in isolation. Conversely, when training neural network models, layers composing the neural models are simultaneously…

Machine Learning · Computer Science 2019-12-13 Gyeong-In Yu , Saeed Amizadeh , Sehoon Kim , Artidoro Pagnoni , Byung-Gon Chun , Markus Weimer , Matteo Interlandi

Developing soft circuits from individual soft logic gates poses a unique challenge: with increasing numbers of logic gates, the design and implementation of circuits leads to inefficiencies due to mathematically unoptimized circuits and…

This paper explores the integration of neural networks with logic programming, addressing the longstanding challenges of combining the generalization and learning capabilities of neural networks with the precision of symbolic logic.…

Artificial Intelligence · Computer Science 2023-11-08 Jipeng Han

Deep Neural Networks (DNNs) have revolutionized many aspects of our lives. The use of DNNs is becoming ubiquitous including in softwares for image recognition, speech recognition, speech synthesis, language translation, to name a few. he…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-18 Sanket Tavarageri , Alexander Heinecke , Sasikanth Avancha , Gagandeep Goyal , Ramakrishna Upadrasta , Bharat Kaul

Purely data-driven deep neural networks (DNNs) applied to physical engineering systems can infer relations that violate physics laws, thus leading to unexpected consequences. To address this challenge, we propose a physics-model-based DNN…

Machine Learning · Computer Science 2022-11-04 Yanbing Mao , Lui Sha , Huajie Shao , Yuliang Gu , Qixin Wang , Tarek Abdelzaher

This paper aims to understand how neural networks learn algorithmic reasoning by addressing two questions: How faithful are learned algorithms when they are effective, and why do neural networks fail to learn effective algorithms otherwise?…

Artificial Intelligence · Computer Science 2025-12-09 Lucas Saldyt , Subbarao Kambhampati

In Compiler Design courses, students learn how a program written in high level programming language and designed for humans understanding is systematically converted into low level assembly language understood by machines, through different…

Programming Languages · Computer Science 2022-04-14 Eduardo Adam Navas-López

Accurate prediction of pure component physiochemical properties is crucial for process integration, multiscale modeling, and optimization. In this work, an enhanced framework for pure component property prediction by using explainable…

Applications · Statistics 2025-06-09 Jianfeng Jiao , Xi Gao , Jie Li

Finding optimal correction of errors in generic stabilizer codes is a computationally hard problem, even for simple noise models. While this task can be simplified for codes with some structure, such as topological stabilizer codes,…

Quantum Physics · Physics 2019-06-05 Nishad Maskara , Aleksander Kubica , Tomas Jochym-O'Connor

The neural mechanisms supporting flexible relational inferences, especially in novel situations, are a major focus of current research. In the complementary learning systems framework, pattern separation in the hippocampus allows rapid…

Neurons and Cognition · Quantitative Biology 2021-05-20 Jacob Russin , Maryam Zolfaghar , Seongmin A. Park , Erie Boorman , Randall C. O'Reilly

The efficient and economical exploitation of polymers with high thermal conductivity is essential to solve the issue of heat dissipation in organic devices. Currently, the experimental preparation of functional thermal conductivity polymers…

Materials Science · Physics 2024-02-16 Xiang Huang , Shengluo Ma , C. Y. Zhao , Hong Wang , Shenghong Ju

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

In this paper we introduce a novel, unified, open-source model interpretability library for PyTorch [12]. The library contains generic implementations of a number of gradient and perturbation-based attribution algorithms, also known as…

Learning maps between function spaces with a strong inductive bias is a central challenge in soft computing, especially when training data are scarce and standard deep architectures overfit. We introduce a \emph{neural integral operator}…

Machine Learning · Computer Science 2026-05-26 Emanuele Zappala , Alice Giola , Andreas Kramer , Saugat Acharya , Enrico Greco

Recently, the transformer architecture has enabled substantial progress in many areas of pattern recognition and machine learning. However, as with other neural network models, there is currently no general method available to explain their…

Machine Learning · Computer Science 2024-12-02 Hannes Thurnherr , Kaspar Riesen

Convolution-type integral equations commonly occur in signal processing and image processing. Discretizing these equations yields large and ill-conditioned linear systems. While the classic multigrid method is effective for solving linear…

Machine Learning · Computer Science 2026-03-03 Lingfeng Li , Yin King Chu , Raymond Chan , Justin Wan

Continuous-depth learning has recently emerged as a novel perspective on deep learning, improving performance in tasks related to dynamical systems and density estimation. Core to these approaches is the neural differential equation, whose…

Machine Learning · Computer Science 2020-09-22 Michael Poli , Stefano Massaroli , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

We present a scalable and precise verifier for recurrent neural networks, called Prover based on two novel ideas: (i) a method to compute a set of polyhedral abstractions for the non-convex and nonlinear recurrent update functions by…

Machine Learning · Computer Science 2021-06-14 Wonryong Ryou , Jiayu Chen , Mislav Balunovic , Gagandeep Singh , Andrei Dan , Martin Vechev