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Time-series forecasting plays an important role in many domains. Boosted by the advances in Deep Learning algorithms, it has for instance been used to predict wind power for eolic energy production, stock market fluctuations, or motor…

Machine Learning · Computer Science 2021-07-23 Luis P. Silvestrin , Leonardos Pantiskas , Mark Hoogendoorn

Image denoising is a classic restoration problem. Yet, current deep learning methods are subject to the problems of generalization and interpretability. To mitigate these problems, in this project, we present a framework that is capable of…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Haley Owsianko , Florian Cassayre , Qiyuan Liang

Predictive learning uses a known state to generate a future state over a period of time. It is a challenging task to predict spatiotemporal sequence because the spatiotemporal sequence varies both in time and space. The mainstream method is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoyu Pan , Hao Wu , Tan Yang

While there has been a surge of recent interest in learning differential equation models from time series, methods in this area typically cannot cope with highly noisy data. We break this problem into two parts: (i) approximating the…

Machine Learning · Statistics 2020-12-08 Harish S. Bhat , Majerle Reeves , Ramin Raziperchikolaei

Robustness of deep neural networks to input noise remains a critical challenge, as naive noise injection often degrades accuracy on clean (uncorrupted) data. We propose a novel training framework that addresses this trade-off through two…

Machine Learning · Statistics 2026-01-06 Hai-Vy Nguyen , Fabrice Gamboa , Sixin Zhang , Reda Chhaibi , Serge Gratton , Thierry Giaccone

The complex physics involved in atmospheric turbulence makes it very difficult for ground-based astronomy to build accurate scintillation models and develop efficient methodologies to remove this highly structured noise from valuable…

Instrumentation and Methods for Astrophysics · Physics 2022-05-18 Alejandra Rocha-Solache , Iván Rodríguez-Montoya , David Sánchez-Argüelles , Itziar Aretxaga

We present a statistical learning framework for robust identification of partial differential equations from noisy spatiotemporal data. Extending previous sparse regression approaches for inferring PDE models from simulated data, we address…

Numerical Analysis · Mathematics 2019-07-19 Suryanarayana Maddu , Bevan L. Cheeseman , Ivo F. Sbalzarini , Christian L. Müller

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

Time series analysis is used to understand and predict dynamic processes, including evolving demands in business, weather, markets, and biological rhythms. Exponential smoothing is used in all these domains to obtain simple interpretable…

Machine Learning · Statistics 2017-10-02 Avner Abrami , Aleksandr Y. Aravkin , Younghun Kim

Functional connectivity estimates are highly sensitive to analysis choices and can be dominated by noise when the number of sampled time points is small relative to network dimensionality. This issue is particularly acute in fMRI, where…

Disordered Systems and Neural Networks · Physics 2026-02-10 Izaro Fernandez-Iriondo , Antonio Jimenez-Marin , Jesus Cortes , Pablo Villegas

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

Machine Learning · Statistics 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

Latent Gaussian models and boosting are widely used techniques in statistics and machine learning. Tree-boosting shows excellent prediction accuracy on many data sets, but potential drawbacks are that it assumes conditional independence of…

Machine Learning · Computer Science 2022-08-24 Fabio Sigrist

Machine learning-based weather forecasting models now surpass state-of-the-art numerical weather prediction systems, but training and operating these models at high spatial resolution remains computationally expensive. We present a modular…

Machine Learning · Computer Science 2026-04-02 Aymeric Delefosse , Anastase Charantonis , Dominique Béréziat

It is of particular interests in many application fields to draw doubly robust inference of a logistic partially linear model with the predictor specified as combination of a targeted low dimensional linear parametric function and a…

Methodology · Statistics 2020-08-31 Molei Liu

Recently, deep models have been successfully applied in several applications, especially with low-level representations. However, sparse, noisy samples and structured domains (with multiple objects and interactions) are some of the open…

Machine Learning · Computer Science 2019-04-16 Mayukh Das , Yang Yu , Devendra Singh Dhami , Gautam Kunapuli , Sriraam Natarajan

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

Generative models have emerged as powerful priors for solving inverse problems. These models typically represent a class of natural signals using a single fixed complexity or dimensionality. This can be limiting: depending on the problem, a…

Machine Learning · Computer Science 2026-03-11 Sean Gunn , Jorio Cocola , Oliver De Candido , Vaggos Chatziafratis , Paul Hand

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

Machine Learning · Computer Science 2021-04-01 Manie Tadayon , Yumi Iwashita

The representation of nonlinear sub-grid processes, especially clouds, has been a major source of uncertainty in climate models for decades. Cloud-resolving models better represent many of these processes and can now be run globally but…

Atmospheric and Oceanic Physics · Physics 2022-06-08 Stephan Rasp , Michael S. Pritchard , Pierre Gentine

With recent research advancements, deep learning models are becoming attractive and powerful choices for speech enhancement in real-time applications. While state-of-the-art models can achieve outstanding results in terms of speech quality…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-20 Sebastian Braun , Hannes Gamper , Chandan K. A. Reddy , Ivan Tashev