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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

Recent work in machine learning shows that deep neural networks can be used to solve a wide variety of inverse problems arising in computational imaging. We explore the central prevailing themes of this emerging area and present a taxonomy…

图像与视频处理 · 电气工程与系统科学 2020-05-14 Gregory Ongie , Ajil Jalal , Christopher A. Metzler , Richard G. Baraniuk , Alexandros G. Dimakis , Rebecca Willett

Vision-language models often hallucinate details, generating non-existent objects or inaccurate attributes that compromise output reliability. Existing methods typically address these issues via extensive human annotations or external…

计算机视觉与模式识别 · 计算机科学 2025-09-30 Mingfei Han , Haihong Hao , Jinxing Zhou , Zhihui Li , Yuhui Zheng , Xueqing Deng , Linjie Yang , Xiaojun Chang

This theoretical work examines 'hallucinations' in both human cognition and large language models, comparing how each system can produce perceptions or outputs that deviate from reality. Drawing on neuroscience and machine learning…

神经元与认知 · 定量生物学 2025-03-11 Sebastian Barros

Human inertial thinking schemes can be formed through learning, which are then applied to quickly solve similar problems later. However, when problems are significantly different, inertial thinking generally presents the solutions that are…

机器学习 · 计算机科学 2018-03-02 Li Huihui , Wen Guihua

Generative models have shown impressive capabilities in synthesizing high-quality outputs across various domains. However, a persistent challenge is the occurrence of "hallucinations", where the model produces outputs that are plausible but…

机器学习 · 计算机科学 2025-02-10 Changlong Wu , Ananth Grama , Wojciech Szpankowski

Hallucinations are an inescapable consequence of solving inverse problems with deep neural networks. The expressiveness of recent generative models is the reason why they can yield results far superior to conventional regularizers; it can…

天体物理仪器与方法 · 物理学 2023-06-26 Matt L. Sampson , Peter Melchior

As AI becomes more capable, we entrust it with more general and consequential tasks. The risks from failure grow more severe with increasing task scope. It is therefore important to understand how extremely capable AI models will fail: Will…

人工智能 · 计算机科学 2026-04-13 Alexander Hägele , Aryo Pradipta Gema , Henry Sleight , Ethan Perez , Jascha Sohl-Dickstein

Magnetic Resonance Imaging (MRI) diagnoses and manages a wide range of diseases, yet long scan times drive high costs and limit accessibility. AI methods have demonstrated substantial potential for reducing scan times, but despite rapid…

信号处理 · 电气工程与系统科学 2026-02-17 Evan Frenklak , Yamin Arefeen , Jonathan I Tamir

Hallucinations, a phenomenon where a language model (LM) generates nonfactual content, pose a significant challenge to the practical deployment of LMs. While many empirical methods have been proposed to mitigate hallucinations, recent…

计算与语言 · 计算机科学 2026-05-18 Atsushi Suzuki , Yulan He , Feng Tian , Zhongyuan Wang

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

Hallucination in generative AI is often treated as a technical failure to produce factually correct output. Yet this framing underrepresents the broader significance of hallucinated content in language models, which may appear fluent,…

计算机与社会 · 计算机科学 2025-10-27 Zihao Li , Weiwei Yi , Jiahong Chen

We investigate the impact of hallucinations and Cognitive Forcing Functions in human-AI collaborative content-grounded data generation, focusing on the use of Large Language Models (LLMs) to assist in generating high quality conversational…

Non-blind deblurring methods achieve decent performance under the accurate blur kernel assumption. Since the kernel uncertainty (i.e. kernel error) is inevitable in practice, semi-blind deblurring is suggested to handle it by introducing…

计算机视觉与模式识别 · 计算机科学 2023-03-23 Xiaole Tang , Xile Zhao , Jun Liu , Jianli Wang , Yuchun Miao , Tieyong Zeng

Deep learning-based methods have recently achieved significant success in image reconstruction problems. However, challenges have emerged, as these methods may generate unrealistic artifacts or hallucinations, which can interfere with…

计算机视觉与模式识别 · 计算机科学 2026-05-21 Jianfei Li , Ines Rosellon-Inclan , Gitta Kutyniok , Jean-Luc Starck

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

This paper is concerned with learners who aim to learn patterns in infinite binary sequences: shown longer and longer initial segments of a binary sequence, they either attempt to predict whether the next bit will be a 0 or will be a 1 or…

计算机科学中的逻辑 · 计算机科学 2020-09-15 Gordon Belot

The reconstruction of an unknown quantity from noisy measurements is a mathematical problem relevant in most applied sciences, for example, in medical imaging, radar inverse scattering, or astronomy. This underlying mathematical problem is…

最优化与控制 · 数学 2025-10-14 Nina M. Gottschling , David Iagaru , Jakob Gawlikowski , Ioannis Sgouralis

As students increasingly rely on large language models, hallucinations pose a growing threat to learning. To mitigate this, AI literacy must expand beyond prompt engineering to address how students should detect and respond to LLM…

人机交互 · 计算机科学 2026-02-23 Abdulhadi Shoufan , Ahmad-Azmi-Abdelhamid Esmaeil

Diffusion models are prone to generating structural hallucinations - samples that match the statistical properties of the training data yet defy underlying structural rules, resulting in anomalies like hands with more than five fingers.…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Bartlomiej Sobieski , Matthew Tivnan , Dawid Płudowski , Michał Jan Włodarczyk , Pengfei Jin , Przemyslaw Biecek , Quanzheng Li