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This paper aims to clarify the representational status of Deep Learning Models (DLMs). While commonly referred to as 'representations', what this entails is ambiguous due to a conflation of functional and relational conceptions of…

Artificial Intelligence · Computer Science 2025-03-25 Eamon Duede

Deep learning has proven itself as a successful set of models for learning useful semantic representations of data. These, however, are mostly implicitly learned as part of a classification task. In this paper we propose the triplet network…

Machine Learning · Computer Science 2018-12-05 Elad Hoffer , Nir Ailon

The superior performance of deep convolutional networks over high-dimensional problems have made them very popular for several applications. Despite their wide adoption, their underlying mechanisms still remain unclear with their…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Angelos Amanatiadis , Vasileios Kaburlasos , Elias Kosmatopoulos

We define the local complexity of a neural network with continuous piecewise linear activations as a measure of the density of linear regions over an input data distribution. We show theoretically that ReLU networks that learn…

Machine Learning · Computer Science 2025-07-15 Niket Patel , Guido Montufar

Causal structure learning refers to a process of identifying causal structures from observational data, and it can have multiple applications in biomedicine and health care. This paper provides a practical review and tutorial on scalable…

Machine Learning · Computer Science 2023-01-20 Pulakesh Upadhyaya , Kai Zhang , Can Li , Xiaoqian Jiang , Yejin Kim

Even though probabilistic treatments of neural networks have a long history, they have not found widespread use in practice. Sampling approaches are often too slow already for simple networks. The size of the inputs and the depth of typical…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Jochen Gast , Stefan Roth

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

Recently, deep learning approaches with various network architectures have achieved significant performance improvement over existing iterative reconstruction methods in various imaging problems. However, it is still unclear why these deep…

Machine Learning · Statistics 2018-01-26 Jong Chul Ye , Yoseob Han , Eunju Cha

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

Deep neural networks are increasingly being used in cognitive modeling as a means of deriving representations for complex stimuli such as images. While the predictive power of these networks is high, it is often not clear whether they also…

Neurons and Cognition · Quantitative Biology 2020-06-01 Aditi Jha , Joshua Peterson , Thomas L. Griffiths

Deep learning can be used to extract meaningful results from images. In this paper, we used convolutional neural networks combined with recurrent neural networks on images of plasmonic structures and extract absorption data form them. To…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Iman Sajedian , Jeonghyun Kim , Junsuk Rho

Interpretability has become a necessary feature for machine learning models deployed in critical scenarios, e.g. legal system, healthcare. In these situations, algorithmic decisions may have (potentially negative) long-lasting effects on…

Machine Learning · Computer Science 2021-12-21 An-phi Nguyen , Maria Rodriguez Martinez

We rigorously analyse fully-trained neural networks of arbitrary depth in the Bayesian optimal setting in the so-called proportional scaling regime where the number of training samples and width of the input and all inner layers diverge…

Statistics Theory · Mathematics 2025-05-07 Francesco Camilli , Daria Tieplova , Eleonora Bergamin , Jean Barbier

Representations of the world environment play a crucial role in artificial intelligence. It is often inefficient to conduct reasoning and inference directly in the space of raw sensory representations, such as pixel values of images.…

Machine Learning · Computer Science 2022-04-12 Kenji Kawaguchi , Linjun Zhang , Zhun Deng

This paper proposes a generic method to learn interpretable convolutional filters in a deep convolutional neural network (CNN) for object classification, where each interpretable filter encodes features of a specific object part. Our method…

Machine Learning · Computer Science 2020-03-13 Quanshi Zhang , Xin Wang , Ying Nian Wu , Huilin Zhou , Song-Chun Zhu

The empirical success of deep convolutional networks on tasks involving high-dimensional data such as images or audio suggests that they can efficiently approximate certain functions that are well-suited for such tasks. In this paper, we…

Machine Learning · Statistics 2022-03-22 Alberto Bietti

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

Predicting compound-protein affinity is critical for accelerating drug discovery. Recent progress made by machine learning focuses on accuracy but leaves much to be desired for interpretability. Through molecular contacts underlying…

Biomolecules · Quantitative Biology 2020-01-01 Mostafa Karimi , Di Wu , Zhangyang Wang , Yang Shen

Convolutional neural networks (CNN's) are powerful and widely used tools. However, their interpretability is far from ideal. One such shortcoming is the difficulty of deducing a network's ability to generalize to unseen data. We use…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Rickard Brüel Gabrielsson , Gunnar Carlsson

Decomposing a deep neural network's learned representations into interpretable features could greatly enhance its safety and reliability. To better understand features, we adopt a geometric perspective, viewing them as a learned coordinate…

Machine Learning · Computer Science 2025-04-30 Aryeh Brill