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We propose a robust elastic net (REN) model for high-dimensional sparse regression and give its performance guarantees (both the statistical error bound and the optimization bound). A simple idea of trimming the inner product is applied to…

Machine Learning · Computer Science 2016-05-03 Weiyang Liu , Rongmei Lin , Meng Yang

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

A recent trend in deep learning algorithms has been towards training large scale models, having high parameter count and trained on big dataset. However, robustness of such large scale models towards real-world settings is still a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Nishant Jain , Harkirat Behl , Yogesh Singh Rawat , Vibhav Vineet

Deep neural networks have proven to be extremely powerful, however, they are also vulnerable to adversarial attacks which can cause hazardous incorrect predictions in safety-critical applications. Certified robustness via randomized…

Machine Learning · Computer Science 2024-10-29 Sina Däubener , Kira Maag , David Krueger , Asja Fischer

In this paper, we focus on analyzing the excess risk of the unpaired data generation model, called CycleGAN. Unlike classical GANs, CycleGAN not only transforms data between two unpaired distributions but also ensures the mappings are…

Machine Learning · Computer Science 2025-09-23 Luwei Sun , Dongrui Shen , Han Feng

The estimation of loss distributions for dynamic portfolios requires the simulation of scenarios representing realistic joint dynamics of their components. We propose a novel data-driven approach for simulating realistic, high-dimensional…

Risk Management · Quantitative Finance 2025-05-19 Rama Cont , Mihai Cucuringu , Renyuan Xu , Chao Zhang

As generative AI systems, including large language models (LLMs) and diffusion models, advance rapidly, their growing adoption has led to new and complex security risks often overlooked in traditional AI risk assessment frameworks. This…

Cryptography and Security · Computer Science 2024-10-21 Aviral Srivastava , Sourav Panda

Uncertainty quantification (UQ) in deep learning regression is of wide interest, as it supports critical applications including sequential decision making and risk-sensitive tasks. In heteroskedastic regression, where the uncertainty of the…

Machine Learning · Computer Science 2026-03-03 Mikkel Jordahn , Jonas Vestergaard Jensen , James Harrison , Michael Riis Andersen , Mikkel N. Schmidt

Recently, Generative Adversarial Networks (GANs) have emerged as a popular alternative for modeling complex high dimensional distributions. Most of the existing works implicitly assume that the clean samples from the target distribution are…

Machine Learning · Statistics 2019-02-14 Mohammadreza Soltani , Swayambhoo Jain , Abhinav Sambasivan

Generative Adversarial Networks (GANs) are powerful models able to synthesize data samples closely resembling the distribution of real data, yet the diversity of those generated samples is limited due to the so-called mode collapse…

Computer Vision and Pattern Recognition · Computer Science 2023-06-26 Jan Dubiński , Kamil Deja , Sandro Wenzel , Przemysław Rokita , Tomasz Trzciński

We introduce a method to stabilize Generative Adversarial Networks (GANs) by defining the generator objective with respect to an unrolled optimization of the discriminator. This allows training to be adjusted between using the optimal…

Machine Learning · Computer Science 2017-05-16 Luke Metz , Ben Poole , David Pfau , Jascha Sohl-Dickstein

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Robust optimization is a young and emerging field of research having received a considerable increase of interest over the last decade. In this paper, we argue that the the algorithm engineering methodology fits very well to the field of…

Optimization and Control · Mathematics 2016-01-12 Marc Goerigk , Anita Schöbel

Disentangled generative models map a latent code vector to a target space, while enforcing that a subset of the learned latent codes are interpretable and associated with distinct properties of the target distribution. Recent advances have…

Machine Learning · Computer Science 2020-08-10 Zinan Lin , Kiran Koshy Thekumparampil , Giulia Fanti , Sewoong Oh

Most successful machine intelligence systems rely on gradient-based learning, which is made possible by backpropagation. Some systems are designed to aid us in interpreting data when explicit goals cannot be provided. These unsupervised…

Machine Learning · Computer Science 2018-06-05 Aditya Ramesh , Yann LeCun

We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume…

Computer Science and Game Theory · Computer Science 2024-01-25 Ioannis Caragiannis , Georgios Kalantzis

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

In this research, we show how to expand existing approaches of using generative adversarial networks (GANs) as economic scenario generators (ESG) to a whole internal market risk model - with enough risk factors to model the full band-width…

Machine Learning · Computer Science 2023-11-07 Solveig Flaig , Gero Junike

Robust planning in interactive scenarios requires predicting the uncertain future to make risk-aware decisions. Unfortunately, due to long-tail safety-critical events, the risk is often under-estimated by finite-sampling approximations of…

Machine Learning · Computer Science 2023-01-13 Haruki Nishimura , Jean Mercat , Blake Wulfe , Rowan McAllister , Adrien Gaidon

Domain generalization (DG) aims to learn predictive models that can generalize to unseen domains. Most existing DG approaches focus on learning domain-invariant representations under the assumption of conditional distribution shift (i.e.,…

Machine Learning · Computer Science 2026-02-03 Jewon Yeom , Kyubyung Chae , Hyunggyu Lim , Yoonna Oh , Dongyoon Yang , Taesup Kim