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We consider the problem of interpretable network representation learning for samples of network-valued data. We propose the Principal Component Analysis for Networks (PCAN) algorithm to identify statistically meaningful low-dimensional…

Machine Learning · Statistics 2021-06-29 James D. Wilson , Jihui Lee

High-fidelity binaural audio synthesis is crucial for immersive listening, but existing methods require extensive computational resources, limiting their edge-device application. To address this, we propose the Lightweight Implicit Neural…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-26 Xikun Lu , Fang Liu , Weizhi Shi , Jinqiu Sang

This paper explores the integration of Diophantine equations into neural network (NN) architectures to improve model interpretability, stability, and efficiency. By encoding and decoding neural network parameters as integer solutions to…

Machine Learning · Computer Science 2024-09-12 Ronald Katende

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

Applications of Implicit Neural Representations (INRs) have emerged as a promising deep learning approach for compactly representing large volumetric datasets. These models can act as surrogates for volume data, enabling efficient storage…

Machine Learning · Computer Science 2026-01-27 Shanu Saklani , Tushar M. Athawale , Nairita Pal , David Pugmire , Christopher R. Johnson , Soumya Dutta

Interpretability of artificial intelligence (AI) methods, particularly deep neural networks, is of great interest. This heightened focus stems from the widespread use of AI-backed systems. These systems, often relying on intricate neural…

Quantum Physics · Physics 2024-11-11 Lirandë Pira , Chris Ferrie

Physically informed neural networks (PINNs) are a promising emerging method for solving differential equations. As in many other deep learning approaches, the choice of PINN design and training protocol requires careful craftsmanship. Here,…

Machine Learning · Statistics 2023-10-09 Inbar Seroussi , Asaf Miron , Zohar Ringel

Mechanistic Interpretability aims to understand neural networks through causal explanations. We argue for the Explanatory View Hypothesis: that Mechanistic Interpretability research is a principled approach to understanding models because…

Machine Learning · Computer Science 2025-05-05 Kola Ayonrinde , Louis Jaburi

Interpretability benefits the theoretical understanding of representations. Existing word embeddings are generally dense representations. Hence, the meaning of latent dimensions is difficult to interpret. This makes word embeddings like a…

Computation and Language · Computer Science 2023-06-27 Minxue Xia , Hao Zhu

Mechanistic interpretability aims to understand how neural networks generalize beyond their training data by reverse-engineering their internal structures. We introduce patterning as the dual problem: given a desired form of generalization,…

Machine Learning · Computer Science 2026-01-21 George Wang , Daniel Murfet

One challenge of physics is to explain how collective properties arise from microscopic interactions. Indeed, interactions form the building blocks of almost all physical theories and are described by polynomial terms in the action. The…

Disordered Systems and Neural Networks · Physics 2023-05-03 Claudia Merger , Alexandre René , Kirsten Fischer , Peter Bouss , Sandra Nestler , David Dahmen , Carsten Honerkamp , Moritz Helias

This paper proposes a method to modify traditional convolutional neural networks (CNNs) into interpretable CNNs, in order to clarify knowledge representations in high conv-layers of CNNs. In an interpretable CNN, each filter in a high…

Computer Vision and Pattern Recognition · Computer Science 2018-02-15 Quanshi Zhang , Ying Nian Wu , Song-Chun Zhu

Deep CNNs have been pushing the frontier of visual recognition over past years. Besides recognition accuracy, strong demands in understanding deep CNNs in the research community motivate developments of tools to dissect pre-trained models…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Bangjie Yin , Luan Tran , Haoxiang Li , Xiaohui Shen , Xiaoming Liu

Machine learning solutions for pattern classification problems are nowadays widely deployed in society and industry. However, the lack of transparency and accountability of most accurate models often hinders their safe use. Thus, there is a…

Machine Learning · Computer Science 2021-12-24 Gonzalo Nápoles , Yamisleydi Salgueiro , Isel Grau , Maikel Leon Espinosa

Intrinsic interpretability of graph neural networks (GNNs) is to find a small subset of the input graph's features -- rationale -- which guides the model prediction. Unfortunately, the leading rationalization models often rely on data…

Machine Learning · Computer Science 2022-02-01 Ying-Xin Wu , Xiang Wang , An Zhang , Xiangnan He , Tat-Seng Chua

Most problems in natural language processing can be approximated as inverse problems such as analysis and generation at variety of levels from morphological (e.g., cat+Plural <-> cats) to semantic (e.g., (call + 1 2) <-> "Calculate one plus…

Computation and Language · Computer Science 2019-12-12 Gözde Gül Şahin , Iryna Gurevych

Nonparametric learning is a fundamental concept in machine learning that aims to capture complex patterns and relationships in data without making strong assumptions about the underlying data distribution. Owing to simplicity and…

Machine Learning · Computer Science 2024-02-06 Amartya Banerjee , Christopher J. Hazard , Jacob Beel , Cade Mack , Jack Xia , Michael Resnick , Will Goddin

We introduce a pruning algorithm that provably sparsifies the parameters of a trained model in a way that approximately preserves the model's predictive accuracy. Our algorithm uses a small batch of input points to construct a data-informed…

Machine Learning · Computer Science 2021-03-16 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Hypergraphs offer a generalized framework for capturing high-order relationships between entities and have been widely applied in various domains, including healthcare, social networks, and bioinformatics. Hypergraph neural networks, which…

Machine Learning · Computer Science 2025-12-03 Akash Choudhuri , Yongjian Zhong , Bijaya Adhikari
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