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Time series autoregression (AR) is a classical tool for modeling auto-correlations and periodic structures in real-world systems. We revisit this model from an interpretable machine learning perspective by introducing sparse autoregression…

Machine Learning · Computer Science 2025-07-15 Xinyu Chen , Vassilis Digalakis , Lijun Ding , Dingyi Zhuang , Jinhua Zhao

Symbolic Regression tries to find a mathematical expression that describes the relationship of a set of explanatory variables to a measured variable. The main objective is to find a model that minimizes the error and, optionally, that also…

Artificial Intelligence · Computer Science 2018-02-27 Fabricio Olivetti de Franca

This paper presents solo-learn, a library of self-supervised methods for visual representation learning. Implemented in Python, using Pytorch and Pytorch lightning, the library fits both research and industry needs by featuring distributed…

Computer Vision and Pattern Recognition · Computer Science 2022-02-07 Victor G. Turrisi da Costa , Enrico Fini , Moin Nabi , Nicu Sebe , Elisa Ricci

This work studies the problem of learning appropriate low dimensional image representations. We propose a generic algorithmic framework, which leverages two classic representation learning paradigms, i.e., sparse representation and the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Xian Wei , Hao Shen , Martin Kleinsteuber

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

We propose algorithms for conducting Bayesian inference in structural vector autoregressions identified using sign restrictions. The key feature of our approach is a sampling step based on 'soft' sign restrictions. This step draws from a…

Econometrics · Economics 2026-03-31 Matthew Read , Dan Zhu

The high computational costs of video super-resolution (VSR) models hinder their deployment on resource-limited devices, (e.g., smartphones and drones). Existing VSR models contain considerable redundant filters, which drag down the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Bin Xia , Jingwen He , Yulun Zhang , Yitong Wang , Yapeng Tian , Wenming Yang , Luc Van Gool

Applying iterative solvers on sparsity-constrained optimization (SCO) requires tedious mathematical deduction and careful programming/debugging that hinders these solvers' broad impact. In the paper, the library skscope is introduced to…

Machine Learning · Statistics 2024-10-14 Zezhi Wang , Jin Zhu , Peng Chen , Huiyang Peng , Xiaoke Zhang , Anran Wang , Junxian Zhu , Xueqin Wang

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

Artificial Intelligence · Computer Science 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

Symbolic regression (SR) models complex systems by discovering mathematical expressions that capture underlying relationships in observed data. However, most SR methods prioritize minimizing prediction error over identifying the governing…

Machine Learning · Computer Science 2026-03-31 Giorgio Morales , John W. Sheppard

Computational modeling is a key resource to gather insight into physical systems in modern scientific research and engineering. While access to large amount of data has fueled the use of Machine Learning (ML) to recover physical models from…

Machine Learning · Computer Science 2023-12-06 Simone Manti , Alessandro Lucantonio

This work focuses on the issue of variable selection in functional regression. Unlike most work in this framework, our approach does not select isolated points in the definition domain of the predictors, nor does it rely on the expansion of…

Statistics Theory · Mathematics 2018-03-05 Victor Picheny , Rémi Servien , Nathalie Villa-Vialaneix

Symbolic regression discovers explicit, interpretable equations without assuming a functional form in advance. A Bayesian approach strengthens this through probability distributions over candidate expressions, thus quantifying uncertainty…

Machine Learning · Computer Science 2026-05-05 James Butterworth , Gevik Grigorian , Alejandro DiazDelaO

Symbolic regression (SR) aims to discover explicit mathematical expressions that explain observed data and is widely used in domains where interpretability is essential. Because interpretability requires expressions to reflect meaningful…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Koki Ikeda , Masahiro Nomura , Ryoki Hamano

Discovering valid and meaningful mathematical equations from observed data plays a crucial role in scientific discovery. While this task, symbolic regression, remains challenging due to the vast search space and the trade-off between…

Machine Learning · Computer Science 2025-09-17 Xiaoxu Han , Chengzhen Ning , Jinghui Zhong , Fubiao Yang , Yu Wang , Xin Mu

In representation learning, Convolutional Sparse Coding (CSC) enables unsupervised learning of features by jointly optimising both an \(\ell_2\)-norm fidelity term and a sparsity enforcing penalty. This work investigates using a…

Image and Video Processing · Electrical Eng. & Systems 2021-07-15 Perla Mayo , Oktay Karakuş , Robin Holmes , Alin Achim

We present RASO, a foundation model designed to Recognize Any Surgical Object, offering robust open-set recognition capabilities across a broad range of surgical procedures and object classes, in both surgical images and videos. RASO…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Jiajie Li , Brian R Quaranto , Chenhui Xu , Ishan Mishra , Ruiyang Qin , Dancheng Liu , Peter C W Kim , Jinjun Xiong

Image super-resolution (SR) has witnessed extensive neural network designs from CNN to transformer architectures. However, prevailing SR models suffer from prohibitive memory footprint and intensive computations, which limits further…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Jiamian Wang , Huan Wang , Yulun Zhang , Yun Fu , Zhiqiang Tao

Video Super-Resolution (VSR) aims to restore high-quality video frames from low-resolution (LR) estimates, yet most existing VSR approaches behave like black boxes at inference time: users cannot reliably correct unexpected artifacts, but…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Jiongze Yu , Xiangbo Gao , Pooja Verlani , Akshay Gadde , Yilin Wang , Balu Adsumilli , Zhengzhong Tu

Neural networks offer highly expressive turbulence closures, yet their complexity obscures the physical mechanisms they aim to model, and their computational cost can limit their tractability. To address these limitations, we introduce a…

Fluid Dynamics · Physics 2026-04-29 Samantha Friess , Aviral Prakash , John A. Evans