English
Related papers

Related papers: Interpretable non-linear dimensionality reduction …

200 papers

We propose a general framework called Network Dissection for quantifying the interpretability of latent representations of CNNs by evaluating the alignment between individual hidden units and a set of semantic concepts. Given any CNN model,…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 David Bau , Bolei Zhou , Aditya Khosla , Aude Oliva , Antonio Torralba

Loss landscapes are a powerful tool for understanding neural network optimization and generalization, yet traditional low-dimensional analyses often miss complex topological features. We present Landscaper, an open-source Python package for…

A recent paper on visualizing the sensitivity of hadronic experiments to nucleon structure [1] introduces the tool PDFSense which defines measures to allow the user to judge the sensitivity of PDF fits to a given experiment. The sensitivity…

High Energy Physics - Phenomenology · Physics 2018-10-17 Dianne Cook , Ursula Laa , German Valencia

Coupled problems with various combinations of multiple physics, scales, and domains are found in numerous areas of science and engineering. A key challenge in the formulation and implementation of corresponding coupled numerical models is…

Analysis of PDEs · Mathematics 2012-04-17 Maarten Arnst , Roger Ghanem , Eric Phipps , John Red-Horse

Manifold embedding algorithms map high-dimensional data down to coordinates in a much lower-dimensional space. One of the aims of dimension reduction is to find intrinsic coordinates that describe the data manifold. The coordinates returned…

Machine Learning · Statistics 2021-07-30 Samson Koelle , Hanyu Zhang , Marina Meila , Yu-Chia Chen

Although Bayesian density estimation using discrete mixtures has good performance in modest dimensions, there is a lack of statistical and computational scalability to high-dimensional multivariate cases. To combat the curse of…

Methodology · Statistics 2014-10-29 Ye Wang , Antonio Canale , David Dunson

Deep neural networks have been well-known for their superb handling of various machine learning and artificial intelligence tasks. However, due to their over-parameterized black-box nature, it is often difficult to understand the prediction…

Machine Learning · Computer Science 2022-07-18 Xuhong Li , Haoyi Xiong , Xingjian Li , Xuanyu Wu , Xiao Zhang , Ji Liu , Jiang Bian , Dejing Dou

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

Machine Learning · Computer Science 2018-03-13 Fulton Wang , Cynthia Rudin

A powerful data transformation method named guided projections is proposed creating new possibilities to reveal the group structure of high-dimensional data in the presence of noise variables. Utilising projections onto a space spanned by a…

Constructing reduced representations of high-dimensional systems is a fundamental problem in physical chemistry. Many unsupervised machine learning methods can automatically find such low-dimensional representations. However, an often…

Chemical Physics · Physics 2024-04-04 Jakub Rydzewski

Several techniques to map various types of components, such as words, attributes, and images, into the embedded space have been studied. Most of them estimate the embedded representation of target entity as a point in the projective space.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Ryotaro Shimizu , Masanari Kimura , Masayuki Goto

We propose a new generative model of projected cosmic mass density maps inferred from weak gravitational lensing observations of distant galaxies (weak lensing mass maps). We construct the model based on a neural style transfer so that it…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-24 Masato Shirasaki , Shiro Ikeda

Certain data are naturally modeled by networks or weighted graphs, be they arterial networks or mobility networks. When there is no canonical labeling of the nodes across the dataset, we talk about unlabeled networks. In this paper, we…

Differential Geometry · Mathematics 2025-08-01 Elodie Maignant , Xavier Pennec , Alain Trouvé , Anna Calissano

Effective human-robot interaction, such as in robot learning from human demonstration, requires the learning agent to be able to ground abstract concepts (such as those contained within instructions) in a corresponding high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Yordan Hristov , Alex Lascarides , Subramanian Ramamoorthy

This paper investigates deep neural network (DNN) compression from the perspective of compactly representing and storing trained parameters. We explore the previously overlooked opportunity of cross-layer architecture-agnostic…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 Yuezhou Sun , Wenlong Zhao , Lijun Zhang , Xiao Liu , Hui Guan , Matei Zaharia

Deep neural networks are widely used in various domains. However, the nature of computations at each layer of the deep networks is far from being well understood. Increasing the interpretability of deep neural networks is thus important.…

Machine Learning · Computer Science 2018-12-19 Haiping Huang

The problem of prediction in functional linear regression is conventionally addressed by reducing dimension via the standard principal component basis. In this paper we show that an alternative basis chosen through weighted least-squares,…

Methodology · Statistics 2009-02-20 Aurore Delaigle , Peter Hall , Tatiyana V. Apanasovich

We develop a new method for visualizing and refining the invariances of learned representations. Specifically, we test for a general form of invariance, linearization, in which the action of a transformation is confined to a low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Olivier J. Hénaff , Eero P. Simoncelli

t-Distributed Stochastic Neighbor Embedding (t-SNE) for the visualization of multidimensional data has proven to be a popular approach, with successful applications in a wide range of domains. Despite their usefulness, t-SNE projections can…

Machine Learning · Computer Science 2024-04-19 Angelos Chatzimparmpas , Rafael M. Martins , Andreas Kerren

Nonlinear stochastic motion presents significant challenges for Bayesian particle tracking. To address this challenge, this paper proposes a framework to construct an invertible transformation that maps the nonlinear state-space model (SSM)…

Methodology · Statistics 2026-04-13 Yonatan L. Ashenafi