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Effective regularisation of neural networks is essential to combat overfitting due to the large number of parameters involved. We present an empirical analogue to the Lipschitz constant of a feed-forward neural network, which we refer to as…

Machine Learning · Statistics 2018-07-03 Henry Gouk , Bernhard Pfahringer , Eibe Frank , Michael Cree

A Markov chain update scheme using a machine-learned flow-based generative model is proposed for Monte Carlo sampling in lattice field theories. The generative model may be optimized (trained) to produce samples from a distribution…

High Energy Physics - Lattice · Physics 2019-09-10 M. S. Albergo , G. Kanwar , P. E. Shanahan

Generative networks implicitly approximate complex densities from their sampling with impressive accuracy. However, because of the enormous scale of modern datasets, this training process is often computationally expensive. We cast…

Machine Learning · Computer Science 2020-03-03 Vincent Schellekens , Laurent Jacques

Image restoration, the recovery of clean images from degraded measurements, has applications in various domains like surveillance, defense, and medical imaging. Despite achieving state-of-the-art (SOTA) restoration performance, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Shubhi Shukla , Pravin Nair

In this paper, we present a general method that can improve the sample quality of pre-trained likelihood based generative models. Our method constructs an energy function on the latent variable space that yields an energy function on…

Machine Learning · Computer Science 2020-06-16 Zhisheng Xiao , Qing Yan , Yali Amit

Adaptable models could greatly benefit robotic agents operating in the real world, allowing them to deal with novel and varying conditions. While approaches such as Bayesian inference are well-studied frameworks for adapting models to…

Machine Learning · Computer Science 2023-10-20 Orr Krupnik , Elisei Shafer , Tom Jurgenson , Aviv Tamar

Generalization to unseen real-world scenarios for robot manipulation requires exposure to diverse datasets during training. However, collecting large real-world datasets is intractable due to high operational costs. For robot learning to…

Robotics · Computer Science 2024-09-04 Zoey Chen , Zhao Mandi , Homanga Bharadhwaj , Mohit Sharma , Shuran Song , Abhishek Gupta , Vikash Kumar

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

Stochastic neural networks such as Restricted Boltzmann Machines (RBMs) have been successfully used in applications ranging from speech recognition to image classification. Inference and learning in these algorithms use a Markov Chain Monte…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Bruno U. Pedroni , Srinjoy Das , John V. Arthur , Paul A. Merolla , Bryan L. Jackson , Dharmendra S. Modha , Kenneth Kreutz-Delgado , Gert Cauwenberghs

The convolutional neural networks (CNNs) have proven to be a powerful tool for discriminative learning. Recently researchers have also started to show interest in the generative aspects of CNNs in order to gain a deeper understanding of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-10 Jifeng Dai , Yang Lu , Ying-Nian Wu

Randomized smoothing is the state-of-the-art approach to construct image classifiers that are provably robust against additive adversarial perturbations of bounded magnitude. However, it is more complicated to construct reasonable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Dmitrii Korzh , Mikhail Pautov , Olga Tsymboi , Ivan Oseledets

Predictive coding (PC) networks are a biologically interesting class of neural networks. Their layered hierarchy mimics the reciprocal connectivity pattern observed in the mammalian cortex, and they can be trained using local learning rules…

Neural and Evolutionary Computing · Computer Science 2019-10-29 Jeff Orchard , Wei Sun

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

As a key component of power system production simulation, load forecasting is critical for the stable operation of power systems. Machine learning methods prevail in this field. However, the limited training data can be a challenge. This…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Linna Xu , Yongli Zhu

Generative networks are opening new avenues in fast event generation for the LHC. We show how generative flow networks can reach percent-level precision for kinematic distributions, how they can be trained jointly with a discriminator, and…

High Energy Physics - Phenomenology · Physics 2023-04-26 Anja Butter , Theo Heimel , Sander Hummerich , Tobias Krebs , Tilman Plehn , Armand Rousselot , Sophia Vent

This paper demonstrates the robustness of Lipschitz-regularized $\alpha$-divergences as objective functionals in generative modeling, showing they enable stable learning across a wide range of target distributions with minimal assumptions.…

Machine Learning · Statistics 2025-09-09 Ziyu Chen , Hyemin Gu , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu

We demonstrate two new important properties of the 1-path-norm of shallow neural networks. First, despite its non-smoothness and non-convexity it allows a closed form proximal operator which can be efficiently computed, allowing the use of…

Machine Learning · Computer Science 2020-07-16 Fabian Latorre , Paul Rolland , Nadav Hallak , Volkan Cevher

We study the task of learning Generalized Linear models (GLMs) in the agnostic model under the Gaussian distribution. We give the first polynomial-time algorithm that achieves a constant-factor approximation for \textit{any} monotone…

Machine Learning · Computer Science 2025-08-05 Nikos Zarifis , Puqian Wang , Ilias Diakonikolas , Jelena Diakonikolas

The Lipschitz constant of a neural network is connected to several important properties of the network such as its robustness and generalization. It is thus useful in many settings to estimate the Lipschitz constant of a model. Prior work…

Machine Learning · Computer Science 2026-03-02 Giannis Nikolentzos , Konstantinos Skianis

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

Statistical Mechanics · Physics 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello
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