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Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of…

Machine Learning · Computer Science 2018-12-12 Lars Ruthotto , Eldad Haber

Deep learning approaches, known for their ability to model complex relationships and fast execution, are increasingly being applied to solve large optimization problems. However, existing methods often face challenges in simultaneously…

Optimization and Control · Mathematics 2025-12-16 Zisheng Zhou , Dengyu Zheng , Zirui Chen , Shixiang Chen

Deep learning based methods hold state-of-the-art results in image denoising, but remain difficult to interpret due to their construction from poorly understood building blocks such as batch-normalization, residual learning, and feature…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Nikola Janjušević , Amirhossein Khalilian-Gourtani , Yao Wang

Understanding consumer preferences is essential to product design and predicting market response to these new products. Choice-based conjoint analysis is widely used to model user preferences using their choices in surveys. However,…

Recombining known primitive concepts into larger novel combinations is a quintessentially human cognitive capability. Whether large neural models in NLP can acquire this ability while learning from data is an open question. In this paper,…

Computation and Language · Computer Science 2023-08-02 Josef Valvoda , Naomi Saphra , Jonathan Rawski , Adina Williams , Ryan Cotterell

This paper develops a logic based on causal inferences to formally capture the concept of instrumental obligation. We establish a causal deontic model that extends causal models with priority structures, allowing us to represent both the…

Logic · Mathematics 2025-05-13 Jialiang Yan , Qingyu He

Large language models (LLMs) are empowering decision-making in several applications, including tool or API usage and answering multiple-choice questions (MCQs). However, incorrect outputs pose significant risks in high-stakes domains like…

Machine Learning · Computer Science 2025-07-15 Harit Vishwakarma , Alan Mishler , Thomas Cook , Niccolò Dalmasso , Natraj Raman , Sumitra Ganesh

Concept-based explanation methods aim at making machine learning models more transparent by finding the most important semantic features of an input (e.g., colors, patterns, shapes) for a given prediction task. However, these methods…

Machine Learning · Computer Science 2025-10-02 Jacopo Teneggi , Zhenzhen Wang , Paul H. Yi , Tianmin Shu , Jeremias Sulam

We extend description logics (DLs) with non-monotonic reasoning features. We start by investigating a notion of defeasible subsumption in the spirit of defeasible conditionals as studied by Kraus, Lehmann and Magidor in the propositional…

Artificial Intelligence · Computer Science 2019-04-17 Katarina Britz , Giovanni Casini , Thomas Meyer , Kody Moodley , Uli Sattler , Ivan Varzinczak

This paper presents a logic framework for modeling the interaction among deductive databases in a P2P (Peer to Peer) environment. Each peer joining a P2P system provides or imports data from its neighbors by using a set of mapping rules,…

Logic in Computer Science · Computer Science 2020-02-19 Luciano Caroprese , Ester Zumpano

The decidability of axiomatic extensions of the modal logic K with modal reduction principles, i.e. axioms of the form $\Diamond^{k} p \rightarrow \Diamond^{n} p$, has remained a long-standing open problem. In this paper, we make…

Logic in Computer Science · Computer Science 2024-06-06 Piotr Ostropolski-Nalewaja , Tim S. Lyon

Recently, the Network Representation Learning (NRL) techniques, which represent graph structure via low-dimension vectors to support social-oriented application, have attracted wide attention. Though large efforts have been made, they may…

Social and Information Networks · Computer Science 2019-05-28 Hao Wang , Tong Xu , Qi Liu , Defu Lian , Enhong Chen , Dongfang Du , Han Wu , Wen Su

Recent years have witnessed strong empirical performance of over-parameterized neural networks on various tasks and many advances in the theory, e.g. the universal approximation and provable convergence to global minimum. In this paper, we…

Machine Learning · Statistics 2021-01-26 Shiyun Xu , Zhiqi Bu

Convolutional neural networks have been successfully applied to various NLP tasks. However, it is not obvious whether they model different linguistic patterns such as negation, intensification, and clause compositionality to help the…

Computation and Language · Computer Science 2018-10-23 Mahnaz Koupaee , William Yang Wang

Pretrained language models (PLM) achieve surprising performance on the Choice of Plausible Alternatives (COPA) task. However, whether PLMs have truly acquired the ability of causal reasoning remains a question. In this paper, we investigate…

Computation and Language · Computer Science 2025-06-26 Mingyue Han , Yinglin Wang

Set prediction is about learning to predict a collection of unordered variables with unknown interrelations. Training such models with set losses imposes the structure of a metric space over sets. We focus on stochastic and underdefined…

Machine Learning · Computer Science 2021-02-23 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek

Selective classification techniques (also known as reject option) have not yet been considered in the context of deep neural networks (DNNs). These techniques can potentially significantly improve DNNs prediction performance by trading-off…

Machine Learning · Computer Science 2017-06-02 Yonatan Geifman , Ran El-Yaniv

In this article we consider the Conditional Super Learner (CSL), an algorithm which selects the best model candidate from a library conditional on the covariates. The CSL expands the idea of using cross-validation to select the best model…

Machine Learning · Statistics 2021-04-30 Gilmer Valdes , Yannet Interian , Efstathios D. Gennatas Mark J. Van der Laan

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

The goal in word spotting is to retrieve parts of document images which are relevant with respect to a certain user-defined query. The recent past has seen attribute-based Convolutional Neural Networks take over this field of research. As…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Eugen Rusakov , Sebastian Sudholt , Fabian Wolf , Gernot A. Fink
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