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Machine unlearning is a fundamental mechanism that enforces the right to be forgotten. Existing unlearning studies that rely on label manipulation or task-gradient reversal often deliver limited unlearning effectiveness. Moreover, they can…

Machine Learning · Computer Science 2026-05-25 Weiqi Wang , Zhiyi Tian , Chenhan Zhang , Luoyu Chen , Shui Yu

Deep linear networks trained with gradient descent yield low rank solutions, as is typically studied in matrix factorization. In this paper, we take a step further and analyze implicit rank regularization in autoencoders. We show greedy…

Machine Learning · Computer Science 2021-07-06 Shih-Yu Sun , Vimal Thilak , Etai Littwin , Omid Saremi , Joshua M. Susskind

Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined…

Numerical Analysis · Mathematics 2022-06-28 Elena Celledoni , Andrea Leone , Davide Murari , Brynjulf Owren

We present Contrastive Neighborhood Alignment (CNA), a manifold learning approach to maintain the topology of learned features whereby data points that are mapped to nearby representations by the source (teacher) model are also mapped to…

Machine Learning · Computer Science 2022-01-07 Pengkai Zhu , Zhaowei Cai , Yuanjun Xiong , Zhuowen Tu , Luis Goncalves , Vijay Mahadevan , Stefano Soatto

Neural networks are trained to learn an approximate mapping from an input domain to a target domain. Incorporating prior knowledge about true mappings is critical to learning a useful approximation. With current architectures, it is…

Machine Learning · Computer Science 2024-08-26 Jonathan Lorraine , Safwan Hossain

Autoencoders are widely used in machine learning applications, in particular for anomaly detection. Hence, they have been introduced in high energy physics as a promising tool for model-independent new physics searches. We scrutinize the…

High Energy Physics - Phenomenology · Physics 2021-07-15 Thorben Finke , Michael Krämer , Alessandro Morandini , Alexander Mück , Ivan Oleksiyuk

Quantum machine learning is often motivated by the idea that quantum systems can expose useful high-dimensional structure that is difficult to access with classical models. We isolate one central component of this claim: the fixed…

Quantum Physics · Physics 2026-05-26 Toheeb Ogunade , Taofeek Kassim , Etinosa Osaro

Sparse autoencoders have become a standard tool for uncovering interpretable latent representations in neural networks. Yet salient concepts often span manifolds that current linear methods cannot capture without post hoc analysis. This…

Machine Learning · Computer Science 2026-05-12 Thomas Dooms , Ward Gauderis , Geraint Wiggins , Jose Oramas

With quantum resources a precious commodity, their efficient use is highly desirable. Quantum autoencoders have been proposed as a way to reduce quantum memory requirements. Generally, an autoencoder is a device that uses machine learning…

Quantum Physics · Physics 2019-02-18 Alex Pepper , Nora Tischler , Geoff J. Pryde

Continual learning for reinforcement learning agents remains a significant challenge, particularly in preserving and leveraging existing information without an external signal to indicate changes in tasks or environments. In this study, we…

Machine Learning · Computer Science 2025-05-15 Zeki Doruk Erden , Donia Gasmi , Boi Faltings

When dealing with clinical text classification on a small dataset recent studies have confirmed that a well-tuned multilayer perceptron outperforms other generative classifiers, including deep learning ones. To increase the performance of…

Machine Learning · Computer Science 2022-09-27 Thanh-Dung Le , Rita Noumeir , Jerome Rambaud , Guillaume Sans , Philippe Jouvet

Data augmentation for deep learning benefits model training, image transformation, medical imaging analysis and many other fields. Many existing methods generate new samples from a parametric distribution, like the Gaussian, with little…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Elvis Han Cui , Bingbin Li , Yanan Li , Weng Kee Wong , Donghui Wang

The Kolmogorov-Arnold (KA) representation theorem constructs universal, but highly non-smooth inner functions (the first layer map) in a single (non-linear) hidden layer neural network. Such universal functions have a distinctive local…

Machine Learning · Computer Science 2025-12-03 Michael H. Freedman , Michael Mulligan

Computing the Jacobian of the solution of an optimization problem is a central problem in machine learning, with applications in hyperparameter optimization, meta-learning, optimization as a layer, and dataset distillation, to name a few.…

Optimization and Control · Mathematics 2023-08-28 Damien Scieur , Quentin Bertrand , Gauthier Gidel , Fabian Pedregosa

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

Machine Learning · Computer Science 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

In this paper, we study the following variant of the junta learning problem. We are given oracle access to a Boolean function $f$ on $n$ variables that only depends on $k$ variables, and, when restricted to them, equals some predefined…

Quantum Physics · Physics 2014-10-29 Aleksandrs Belovs

Previous work has shown that DNNs with large depth $L$ and $L_{2}$-regularization are biased towards learning low-dimensional representations of the inputs, which can be interpreted as minimizing a notion of rank $R^{(0)}(f)$ of the learned…

Machine Learning · Computer Science 2024-08-16 Arthur Jacot

Wide accessibility of imaging and profile sensors in modern industrial systems created an abundance of high-dimensional sensing variables. This led to a a growing interest in the research of high-dimensional process monitoring. However,…

Machine Learning · Computer Science 2022-08-15 Nurettin Sergin , Hao Yan

Non-linear manifold learning enables high-dimensional data analysis, but requires out-of-sample-extension methods to process new data points. In this paper, we propose a manifold learning algorithm based on deep learning to create an…

Machine Learning · Statistics 2015-06-26 Gal Mishne , Uri Shaham , Alexander Cloninger , Israel Cohen

Optimal feedback control with implicit Hamiltonians poses a fundamental challenge for learning-based value function methods due to the absence of closed-form optimal control laws. Recent work~\cite{gelphman2025end} introduced an implicit…

Optimization and Control · Mathematics 2026-04-28 Eric Gelphman , Deepanshu Verma , Nicole Tianjiao Yang , Stanley Osher , Samy Wu Fung
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