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We introduce AutoSpec, a neural network framework for discovering iterative spectral algorithms for large-scale numerical linear algebra and numerical optimization. Our self-supervised models adapt to input operators using coarse spectral…

Machine Learning · Computer Science 2026-02-11 Zihang Liu , Oleg Balabanov , Yaoqing Yang , Michael W. Mahoney

We present a representation learning algorithm that learns a low-dimensional latent dynamical system from high-dimensional \textit{sequential} raw data, e.g., video. The framework builds upon recent advances in amortized inference methods…

Machine Learning · Computer Science 2020-01-29 Jung-Su Ha , Young-Jin Park , Hyeok-Joo Chae , Soon-Seo Park , Han-Lim Choi

We present Spectral Inference Networks, a framework for learning eigenfunctions of linear operators by stochastic optimization. Spectral Inference Networks generalize Slow Feature Analysis to generic symmetric operators, and are closely…

Machine Learning · Computer Science 2020-01-17 David Pfau , Stig Petersen , Ashish Agarwal , David G. T. Barrett , Kimberly L. Stachenfeld

Latent representations are used extensively for downstream tasks, such as visualization, interpolation or feature extraction of deep learning models. Invariant and equivariant neural networks are powerful and well-established models for…

Machine Learning · Computer Science 2025-01-16 Andreas Abildtrup Hansen , Anna Calissano , Aasa Feragen

In Imitation Learning (IL), utilizing suboptimal and heterogeneous demonstrations presents a substantial challenge due to the varied nature of real-world data. However, standard IL algorithms consider these datasets as homogeneous, thereby…

Machine Learning · Computer Science 2024-12-16 Mark Beliaev , Ramtin Pedarsani

In real-world applications with large state and action spaces, reinforcement learning (RL) typically employs function approximations to represent core components like the policies, value functions, and dynamics models. Although powerful…

Machine Learning · Computer Science 2026-01-29 Chenxiao Gao , Haotian Sun , Na Li , Dale Schuurmans , Bo Dai

Linear time-invariant systems are very popular models in system theory and applications. A fundamental problem in system identification that remains rather unaddressed in extant literature is to leverage commonalities amongst related linear…

Machine Learning · Statistics 2024-01-03 Aditya Modi , Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

The choice of making an intervention depends on its potential benefit or harm in comparison to alternatives. Estimating the likely outcome of alternatives from observational data is a challenging problem as all outcomes are never observed,…

Machine Learning · Statistics 2020-02-18 Yao Zhang , Alexis Bellot , Mihaela van der Schaar

In this article we study the problem of recovering the unknown solution of a linear ill-posed problem, via iterative regularization methods. We review the problem of projection-regularization from a statistical point of view. A basic…

Statistics Theory · Mathematics 2007-06-13 Ana K. Fermin , Carenne Ludena

Detecting anomalies in multivariate time-series data is essential in many real-world applications. Recently, various deep learning-based approaches have shown considerable improvements in time-series anomaly detection. However, existing…

Machine Learning · Computer Science 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

It has been a long-standing goal in machine learning, as well as in AI more generally, to develop life-long learning systems that learn many different tasks over time, and reuse insights from tasks learned, "learning to learn" as they do…

Machine Learning · Computer Science 2014-12-08 Maria-Florina Balcan , Avrim Blum , Santosh Vempala

This work connects two mathematical fields - computational complexity and interval linear algebra. It introduces the basic topics of interval linear algebra - regularity and singularity, full column rank, solving a linear system, deciding…

Computational Complexity · Computer Science 2016-02-02 Jaroslav Horáček , Milan Hladík , Michal Černý

Turning pass-through network architectures into iterative ones, which use their own output as input, is a well-known approach for boosting performance. In this paper, we argue that such architectures offer an additional benefit: The…

Artificial Intelligence · Computer Science 2025-05-27 Nikita Durasov , Doruk Oner , Jonathan Donier , Hieu Le , Pascal Fua

We study the learning dynamics of self-predictive learning for reinforcement learning, a family of algorithms that learn representations by minimizing the prediction error of their own future latent representations. Despite its recent…

In this paper, we study a fast approximate inference method based on expectation propagation for exploring the posterior probability distribution arising from the Bayesian formulation of nonlinear inverse problems. It is capable of…

Numerical Analysis · Mathematics 2015-06-18 Matthias Gehre , Bangti Jin

We introduce Temporal Variational Implicit Neural Representations (TV-INRs), a probabilistic framework for modeling irregular multivariate time series that enables efficient individualized imputation and forecasting. By integrating implicit…

Machine Learning · Computer Science 2025-06-03 Batuhan Koyuncu , Rachael DeVries , Ole Winther , Isabel Valera

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

Many problems in causal inference and economics can be formulated in the framework of conditional moment models, which characterize the target function through a collection of conditional moment restrictions. For nonparametric conditional…

Machine Learning · Statistics 2022-12-29 Ziyu Wang , Yucen Luo , Yueru Li , Jun Zhu , Bernhard Schölkopf
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