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This paper presents a model-free reinforcement learning (RL) algorithm to solve the risk-averse optimal control (RAOC) problem for discrete-time nonlinear systems. While successful RL algorithms have been presented to learn optimal control…

系统与控制 · 电气工程与系统科学 2021-03-29 Yuzhen Han , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

计算机视觉与模式识别 · 计算机科学 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov

Adversarial representation learning is a promising paradigm for obtaining data representations that are invariant to certain sensitive attributes while retaining the information necessary for predicting target attributes. Existing…

机器学习 · 计算机科学 2019-12-30 Bashir Sadeghi , Runyi Yu , Vishnu Naresh Boddeti

In recent years, deep learning has achieved remarkable empirical success for image reconstruction. This has catalyzed an ongoing quest for precise characterization of correctness and reliability of data-driven methods in critical use-cases,…

计算机视觉与模式识别 · 计算机科学 2022-09-15 Subhadip Mukherjee , Andreas Hauptmann , Ozan Öktem , Marcelo Pereyra , Carola-Bibiane Schönlieb

Convex relaxations are effective for training and certifying neural networks against norm-bounded adversarial attacks, but they leave a large gap between certifiable and empirical robustness. In principle, convex relaxation can provide…

机器学习 · 计算机科学 2020-02-25 Chen Zhu , Renkun Ni , Ping-yeh Chiang , Hengduo Li , Furong Huang , Tom Goldstein

Invariant Contrastive Learning (ICL) methods have achieved impressive performance across various domains. However, the absence of latent space representation for distortion (augmentation)-related information in the latent space makes ICL…

Lossy image compression networks aim to minimize the latent entropy of images while adhering to specific distortion constraints. However, optimizing the neural network can be challenging due to its nature of learning quantized latent…

计算机视觉与模式识别 · 计算机科学 2025-03-14 Yingwen Zhang , Meng Wang , Xihua Sheng , Peilin Chen , Junru Li , Li Zhang , Shiqi Wang

As application demands for online convex optimization accelerate, the need for designing new methods that simultaneously cover a large class of convex functions and impose the lowest possible regret is highly rising. Known online…

机器学习 · 计算机科学 2019-06-04 Saeed Masoudian , Ali Arabzadeh , Mahdi Jafari Siavoshani , Milad Jalal , Alireza Amouzad

We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

计算机视觉与模式识别 · 计算机科学 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

We propose a non-stationary iterated network Tikhonov (iNETT) method for the solution of ill-posed inverse problems. The iNETT employs deep neural networks to build a data-driven regularizer, and it avoids the difficult task of estimating…

数值分析 · 数学 2023-04-05 Davide Bianchi , Guanghao Lai , Wenbin Li

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

最优化与控制 · 数学 2021-11-10 Andreas Habring , Martin Holler

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

数值分析 · 数学 2024-06-05 Martin Burger , Samira Kabri

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Mahrokh Najaf , Gregory Ongie

Machine learning methods are commonly used to solve inverse problems, wherein an unknown signal must be estimated from few indirect measurements generated via a known acquisition procedure. In particular, neural networks perform well…

机器学习 · 计算机科学 2025-12-05 Hannah Laus , Suzanna Parkinson , Vasileios Charisopoulos , Felix Krahmer , Rebecca Willett

The recent development of diffusion models has led to significant progress in solving inverse problems by leveraging these models as powerful generative priors. However, challenges persist due to the ill-posed nature of such problems, often…

计算机视觉与模式识别 · 计算机科学 2025-03-12 Jeongsol Kim , Geon Yeong Park , Hyungjin Chung , Jong Chul Ye

Inverse problems arise in a number of domains such as medical imaging, remote sensing, and many more, relying on the use of advanced signal and image processing approaches -- such as sparsity-driven techniques -- to determine their…

机器学习 · 计算机科学 2019-02-01 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

Learning-based methods have demonstrated remarkable performance in solving inverse problems, particularly in image reconstruction tasks. Despite their success, these approaches often lack theoretical guarantees, which are crucial in…

数值分析 · 数学 2025-10-21 Clemens Arndt , Judith Nickel

Properly modeling latent image distributions plays an important role in a variety of image-related vision problems. Most exiting approaches aim to formulate this problem as optimization models (e.g., Maximum A Posterior, MAP) with…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Risheng Liu , Pan Mu , Jian Chen , Xin Fan , Zhongxuan Luo

Traditional maximum entropy and sparsity-based algorithms for analytic continuation often suffer from the ill-posed kernel matrix or demand tremendous computation time for parameter tuning. Here we propose a neural network method by convex…

机器学习 · 计算机科学 2022-02-07 Dongchen Huang , Yi-feng Yang

Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective regularization strategies, achieving state-of-the-art…

数值分析 · 数学 2026-04-23 Harshit Bajpai , Ankik Kumar Giri , Tim Jahn , Abhinav Jha