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We analyze multipartite entanglement in systems of spin-1/2 particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which…

Quantum Physics · Physics 2012-02-01 Marcus Huber , Nicolai Friis , Andreas Gabriel , Christoph Spengler , Beatrix C. Hiesmayr

In this article the authors develop an intrinsic measure for quantifying heterogeneity in training data for supervised learning. This measure is the variance of a random variable which factors through the influences of pairs of training…

Machine Learning · Computer Science 2026-03-10 Fenix W. Huang , Henning S. Mortveit , Christian M. Reidys

The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples ($n \to \infty$). The next phase is likely to focus on algorithms capable of learning from very few labeled…

Computer Vision and Pattern Recognition · Computer Science 2014-03-12 Fabio Anselmi , Joel Z. Leibo , Lorenzo Rosasco , Jim Mutch , Andrea Tacchetti , Tomaso Poggio

While machine learning is rapidly being developed and deployed in health settings such as influenza prediction, there are critical challenges in using data from one environment in another due to variability in features; even within disease…

Machine Learning · Statistics 2020-03-10 Vishwali Mhasawade , Nabeel Abdur Rehman , Rumi Chunara

Learning from multiple sources of information is an important problem in machine-learning research. The key challenges are learning representations and formulating inference methods that take into account the complementarity and redundancy…

Machine Learning · Statistics 2018-11-20 Richard Kurle , Stephan Günnemann , Patrick van der Smagt

Data-driven methods offer efficient and robust solutions for analyzing complex dynamical systems but rely on the assumption of I.I.D. data, driving the development of generalization techniques for handling environmental differences. These…

Machine Learning · Computer Science 2025-10-23 Shixuan Liu , Yue He , Haotian Wang , Wenjing Yang , Yunfei Wang , Peng Cui , Zhong Liu

The utility of learning a dynamics/world model of the environment in reinforcement learning has been shown in a many ways. When using neural networks, however, these models suffer catastrophic forgetting when learned in a lifelong or…

Machine Learning · Computer Science 2019-06-12 Nicholas Ketz , Soheil Kolouri , Praveen Pilly

It has been observed that representations learned by distinct neural networks conceal structural similarities when the models are trained under similar inductive biases. From a geometric perspective, identifying the classes of…

Machine Learning · Computer Science 2024-03-21 Irene Cannistraci , Luca Moschella , Marco Fumero , Valentino Maiorca , Emanuele Rodolà

Improving generalization and achieving highly predictive, robust machine learning models necessitates learning the underlying causal structure of the variables of interest. A prominent and effective method for this is learning invariant…

Machine Learning · Computer Science 2024-11-12 Jawad Chowdhury , Gabriel Terejanu

We study the invariance characteristics of pre-trained predictive models by empirically learning transformations on the input that leave the prediction function approximately unchanged. To learn invariant transformations, we minimize the…

Machine Learning · Computer Science 2020-03-04 Mohammad Taha Bahadori , Layne C. Price

Representation Learning in a heterogeneous space with mixed variables of numerical and categorical types has interesting challenges due to its complex feature manifold. Moreover, feature learning in an unsupervised setup, without class…

Machine Learning · Statistics 2020-10-15 Souradip Chakraborty , Ekansh Verma , Saswata Sahoo , Jyotishka Datta

We investigate the problem of learning representations that are invariant to certain nuisance or sensitive factors of variation in the data while retaining as much of the remaining information as possible. Our model is based on a…

Machine Learning · Statistics 2017-08-11 Christos Louizos , Kevin Swersky , Yujia Li , Max Welling , Richard Zemel

Images can vary according to changes in viewpoint, resolution, noise, and illumination. In this paper, we aim to learn representations for an image, which are robust to wide changes in such environmental conditions, using training pairs of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Kye-Hyeon Kim , Rui Cai , Lei Zhang , Seungjin Choi

Identifying meaningful and independent factors of variation in a dataset is a challenging learning task frequently addressed by means of deep latent variable models. This task can be viewed as learning symmetry transformations preserving…

Machine Learning · Computer Science 2022-11-01 Maxim Samarin , Vitali Nesterov , Mario Wieser , Aleksander Wieczorek , Sonali Parbhoo , Volker Roth

In this paper we present a world model, which learns causal features using the invariance principle. In particular, we use contrastive unsupervised learning to learn the invariant causal features, which enforces invariance across…

Machine Learning · Computer Science 2022-09-30 Rudra P. K. Poudel , Harit Pandya , Roberto Cipolla

Identifying the causal relationship among variables from observational data is an important yet challenging task. This work focuses on identifying the direct causes of an outcome and estimating their magnitude, i.e., learning the causal…

Methodology · Statistics 2026-01-08 Zhenyu Wang , Yifan Hu , Peter Bühlmann , Zijian Guo

By inferring latent groups in the training data, recent works introduce invariant learning to the case where environment annotations are unavailable. Typically, learning group invariance under a majority/minority split is empirically shown…

Machine Learning · Computer Science 2022-10-19 Yimeng Chen , Ruibin Xiong , Zhiming Ma , Yanyan Lan

Learning disentangled representations is considered a cornerstone problem in representation learning. Recently, Locatello et al. (2019) demonstrated that unsupervised disentanglement learning without inductive biases is theoretically…

Machine Learning · Computer Science 2020-02-17 Francesco Locatello , Michael Tschannen , Stefan Bauer , Gunnar Rätsch , Bernhard Schölkopf , Olivier Bachem

Learning invariant representations from images is one of the hardest challenges facing computer vision. Spatial pooling is widely used to create invariance to spatial shifting, but it is restricted to convolutional models. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2013-03-19 Sainbayar Sukhbaatar , Takaki Makino , Kazuyuki Aihara

Metric learning seeks to embed images of objects suchthat class-defined relations are captured by the embeddingspace. However, variability in images is not just due to different depicted object classes, but also depends on other latent…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Karsten Roth , Biagio Brattoli , Björn Ommer