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Related papers: xInv: Explainable Optimization of Inverse Problems

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Optimization is a ubiquitous modeling tool and is often deployed in settings which repeatedly solve similar instances of the same problem. Amortized optimization methods use learning to predict the solutions to problems in these settings,…

Machine Learning · Computer Science 2025-10-07 Brandon Amos

While deep learning methods have achieved state-of-the-art performance in many challenging inverse problems like image inpainting and super-resolution, they invariably involve problem-specific training of the networks. Under this approach,…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 J. H. Rick Chang , Chun-Liang Li , Barnabas Poczos , B. V. K. Vijaya Kumar , Aswin C. Sankaranarayanan

Decision-making problems are commonly formulated as optimization problems, which are then solved to make optimal decisions. In this work, we consider the inverse problem where we use prior decision data to uncover the underlying…

Optimization and Control · Mathematics 2022-12-27 Rishabh Gupta , Qi Zhang

Explainable AI aims to render model behavior understandable by humans, which can be seen as an intermediate step in extracting causal relations from correlative patterns. Due to the high risk of possible fatal decisions in image-based…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Lukas Klein , João B. S. Carvalho , Mennatallah El-Assady , Paolo Penna , Joachim M. Buhmann , Paul F. Jaeger

In this work, we investigate the use of normalizing flows to model conditional distributions. In particular, we use our proposed method to analyze inverse problems with invertible neural networks by maximizing the posterior likelihood. Our…

Machine Learning · Computer Science 2019-11-07 Zhisheng Xiao , Qing Yan , Yali Amit

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

In this review, we examine the problem of designing interpretable and explainable machine learning models. Interpretability and explainability lie at the core of many machine learning and statistical applications in medicine, economics,…

Machine Learning · Computer Science 2023-03-02 Ričards Marcinkevičs , Julia E. Vogt

Conventionally, AI models are thought to trade off explainability for lower accuracy. We develop a training strategy that not only leads to a more explainable AI system for object classification, but as a consequence, suffers no perceptible…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Andrea Zunino , Sarah Adel Bargal , Riccardo Volpi , Mehrnoosh Sameki , Jianming Zhang , Stan Sclaroff , Vittorio Murino , Kate Saenko

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

Humans are accustomed to reading and writing in a forward manner, and this natural bias extends to text understanding in auto-regressive large language models (LLMs). This paper investigates whether LLMs, like humans, struggle with reverse…

Computation and Language · Computer Science 2025-02-25 Sicheng Yu , Yuanchen Xu , Cunxiao Du , Yanying Zhou , Minghui Qiu , Qianru Sun , Hao Zhang , Jiawei Wu

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

Optimization and Control · Mathematics 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Mechanistic interpretability aims to understand how neural networks generalize beyond their training data by reverse-engineering their internal structures. We introduce patterning as the dual problem: given a desired form of generalization,…

Machine Learning · Computer Science 2026-01-21 George Wang , Daniel Murfet

In this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented. Then a common general forward modeling for them is given and the corresponding…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

Future sequence represents the outcome after executing the action into the environment (i.e. the trajectory onwards). When driven by the information-theoretic concept of mutual information, it seeks maximally informative consequences.…

Machine Learning · Computer Science 2023-11-15 Jianfei Ma

Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many applications rely on solving inverse problems. In this paper, we propose an invertible…

Machine Learning · Computer Science 2025-05-07 Da Long , Zhitong Xu , Qiwei Yuan , Yin Yang , Shandian Zhe

Recently, diffusion models have been used to solve various inverse problems in an unsupervised manner with appropriate modifications to the sampling process. However, the current solvers, which recursively apply a reverse diffusion step…

Machine Learning · Computer Science 2024-05-21 Hyungjin Chung , Byeongsu Sim , Dohoon Ryu , Jong Chul Ye

Explainable artificial intelligence is a research field that tries to provide more transparency for autonomous intelligent systems. Explainability has been used, particularly in reinforcement learning and robotic scenarios, to better…

Artificial Intelligence · Computer Science 2022-07-08 Francisco Cruz , Charlotte Young , Richard Dazeley , Peter Vamplew

We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

This paper studies a fundamental mechanism of how to detect a conflict between arguments given sentiments regarding acceptability of the arguments. We introduce a concept of the inverse problem of the abstract argumentation to tackle the…

Artificial Intelligence · Computer Science 2021-01-28 Hiroyuki Kido , Beishui Liao

Inverse reinforcement learning (IRL) infers a reward function from demonstrations, allowing for policy improvement and generalization. However, despite much recent interest in IRL, little work has been done to understand the minimum set of…

Machine Learning · Computer Science 2019-08-19 Daniel S. Brown , Scott Niekum
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