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#inverse-problems News & Analysis

23 articles tagged with #inverse-problems. AI-curated summaries with sentiment analysis and key takeaways from 50+ sources.

23 articles
AIBullisharXiv – CS AI · May 297/10
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Battery-Sim-Agent: Leveraging LLM-Agent for Inverse Battery Parameter Estimation

Researchers introduce Battery-Sim-Agent, an LLM-based framework that uses AI agents to estimate battery parameters by mimicking scientific reasoning rather than traditional black-box optimization. The system outperforms conventional methods like Bayesian optimization on benchmark tests and demonstrates practical applicability on real-world battery datasets, representing a novel approach to accelerating battery innovation through physics-informed AI reasoning.

AIBullisharXiv – CS AI · Apr 147/10
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems

Researchers introduce PnP-CM, a new method that reformulates consistency models as proximal operators within plug-and-play frameworks for solving inverse problems. The approach achieves high-quality image reconstructions with minimal neural function evaluations (4 NFEs), demonstrating practical efficiency gains over existing consistency model solvers and marking the first application of CMs to MRI data.

AINeutralarXiv – CS AI · 3d ago6/10
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Data assimilation for subsurface flow using latent diffusion model parameterization: performance of ensemble-Kalman and Monte Carlo techniques

Researchers demonstrate that latent diffusion models (LDMs) can efficiently parameterize subsurface geological models for data assimilation, but reveal a critical trade-off: ensemble Kalman methods preserve geological realism poorly while Monte Carlo sampling methods achieve better uncertainty quantification at higher computational cost, with fast surrogate models enabling practical implementation.

AINeutralarXiv – CS AI · Jun 56/10
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Finite Element-Based Material Learning via Automatic Differentiation: Learning constitutive neural network models from full-field deformation data

Researchers have developed FE-MAD, a differentiable machine learning framework that integrates neural networks into finite element solvers to identify material properties from experimental deformation data. The method combines the flexibility of neural networks with the physical rigor of finite element analysis, demonstrated on hyperelastic material characterization across multiple experimental datasets without requiring manual surrogate models or analytic adjoints.

AINeutralarXiv – CS AI · Jun 46/10
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L-TGVN: Leveraging Longitudinal Priors for Personalized Rapid MRI

Researchers introduce L-TGVN, a machine learning approach that accelerates MRI scans by leveraging prior patient scans as contextual information while reconstructing images from heavily undersampled measurements. The method improves diagnostic image quality without requiring explicit scan alignment and accommodates protocol variations across visits, addressing a significant clinical bottleneck in medical imaging.

AINeutralarXiv – CS AI · Jun 26/10
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Flow-Based Generative Modeling for Optimizing Sampling Policies in Compressed Sensing Applications

Researchers demonstrate a flow-based generative model that optimizes sampling strategies for compressed sensing, achieving state-of-the-art reconstruction results using only 5% of measurements. The framework combines task-aware learning with flow matching to enhance performance across image classification, reconstruction, and MRI acceleration applications.

AINeutralarXiv – CS AI · Jun 26/10
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(HB-ARFM) History-Bootstrapped Flow Matching for Inverse Boiling Reconstruction

Researchers introduce History-Bootstrapped Flow Matching (HB-ARFM), a machine learning method for reconstructing complete spatiotemporal fields from partial observations, demonstrating particular success in recovering velocity and temperature fields from limited boiling dynamics data. The approach addresses a fundamental challenge in scientific inference where incomplete observations create ill-posed inverse problems that traditional single-timestep models cannot solve.

AINeutralarXiv – CS AI · Jun 26/10
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naPINN: Noise-Adaptive Physics-Informed Neural Networks for Recovering Physics from Corrupted Measurement

Researchers introduce naPINN (Noise-Adaptive Physics-Informed Neural Networks), a novel machine learning approach that recovers accurate physical equations from corrupted or noisy measurement data without requiring prior knowledge of noise characteristics. The method uses energy-based models to identify and filter outliers while maintaining data integrity, substantially outperforming existing robust PINN methods across benchmark tests with non-Gaussian noise and varying outlier rates.

AINeutralarXiv – CS AI · Jun 16/10
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Inverting Data Transformations via Diffusion Sampling

Researchers introduce TIED (Transformation-Inverting Energy Diffusion), a novel machine learning method that recovers inverse transformations on Lie groups using diffusion sampling. The approach improves neural network robustness to input transformations at test time, with applications in image processing and physics-informed modeling.

AINeutralarXiv – CS AI · May 296/10
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LLMSurgeon: Diagnosing Data Mixture of Large Language Models

Researchers introduce LLMSurgeon, a framework that reverse-engineers the pretraining data composition of Large Language Models by analyzing their generated text, addressing the opacity surrounding how foundation models are trained. The method estimates domain-level distributions across a predefined taxonomy without requiring access to actual training datasets, offering a practical auditing tool for understanding model behavior and capabilities.

AINeutralarXiv – CS AI · May 285/10
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Gradient Step Plug-and-Play Model for Dental Cone-Beam CT Reconstruction

Researchers have developed a gradient-step plug-and-play algorithm that uses a trained denoiser model to reduce photon noise in dental cone-beam CT reconstructions. The method combines inverse problem formulation with machine learning, demonstrating effective denoising on synthetic data and promising generalization to real-world dental imaging applications.

AINeutralarXiv – CS AI · May 285/10
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Geometry-Correct Diffusion Posterior Sampling with Denoiser-Pullback Curvature Guidance and Manifold-Aligned Damping

Researchers present a new diffusion posterior sampling method that improves inverse problem solving by replacing hand-tuned guidance weights with a mathematically principled damped Gauss-Newton correction. The approach demonstrates competitive or superior performance on image reconstruction tasks including accelerated MRI while reducing computational overhead compared to existing methods.

AINeutralarXiv – CS AI · May 276/10
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Inference-Time Search Using Side Information for Diffusion-Based Image Reconstruction

Researchers propose DISS, a training-free framework that enhances diffusion-based image reconstruction by incorporating side information through inference-time search. The method demonstrates consistent quality improvements across multiple inverse problems (inpainting, super-resolution, deblurring) and diffusion solvers while supporting diverse side information types including reference images, text, and medical scans.

AINeutralarXiv – CS AI · May 276/10
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Reconstructing Multi-Scale Physical Fields from Extremely Sparse Measurements with an Autoencoder-Diffusion Cascade

Researchers propose Cascaded Sensing, a machine learning framework combining autoencoders and diffusion models to reconstruct physical fields from extremely sparse sensor measurements. The approach addresses the ill-posed problem of inferring complete spatial data from limited observations by first establishing global structural anchors through coarse-scale estimation, then refining details through conditional diffusion sampling.

AINeutralarXiv – CS AI · May 126/10
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Outlier-Robust Diffusion Solvers for Inverse Problems

Researchers have developed an improved diffusion model-based approach for solving inverse problems that demonstrates robustness to outliers in real-world measurements. The method combines explicit noise estimation, Huber loss optimization, and conjugate gradient methods to outperform existing diffusion model techniques across linear and nonlinear tasks.

AINeutralarXiv – CS AI · May 116/10
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Bifurcation Models: Learning Set-Valued Solution Maps with Weight-Tied Dynamics

Researchers present bifurcation models, a machine learning approach that uses weight-tied dynamical systems to learn multiple valid solutions for problems with set-valued outputs. Rather than forcing a single target label, the model represents an attractor landscape where different initializations converge to different stable equilibria, enabling discovery of diverse valid solutions without explicit branch labels.

AINeutralarXiv – CS AI · Mar 116/10
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Latent Generative Models with Tunable Complexity for Compressed Sensing and other Inverse Problems

Researchers developed tunable-complexity priors for generative models (diffusion models, normalizing flows, and variational autoencoders) that can dynamically adjust complexity based on the specific inverse problem. The approach uses nested dropout and demonstrates superior performance across compressed sensing, inpainting, denoising, and phase retrieval tasks compared to fixed-complexity baselines.

AIBullisharXiv – CS AI · Mar 36/1012
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Efficient Flow Matching for Sparse-View CT Reconstruction

Researchers developed FMCT/EFMCT, a new Flow Matching-based framework for CT medical imaging reconstruction that significantly improves computational efficiency over existing diffusion models. The method uses deterministic ordinary differential equations and velocity field reuse to reduce neural network evaluations while maintaining reconstruction quality.

AIBullisharXiv – CS AI · Mar 36/108
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FAST-DIPS: Adjoint-Free Analytic Steps and Hard-Constrained Likelihood Correction for Diffusion-Prior Inverse Problems

Researchers propose FAST-DIPS, a new training-free diffusion prior method for solving inverse problems that achieves up to 19.5x speedup while maintaining competitive image quality metrics. The method replaces computationally expensive inner optimization loops with closed-form projections and analytic step sizes, significantly reducing the number of required denoiser evaluations.

AIBullisharXiv – CS AI · Mar 36/103
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EquiReg: Equivariance Regularized Diffusion for Inverse Problems

Researchers propose EquiReg, a new framework that improves diffusion models for inverse problems like image restoration by keeping sampling trajectories on the data manifold. The method uses equivariance regularization to guide sampling toward symmetry-preserving regions, enabling high-quality reconstructions with fewer sampling steps.

AIBullisharXiv – CS AI · Feb 275/107
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Learning to reconstruct from saturated data: audio declipping and high-dynamic range imaging

Researchers have developed a self-supervised learning method that can reconstruct audio and images from clipped/saturated measurements without requiring ground truth training data. The approach extends self-supervised learning to non-linear inverse problems and performs nearly as well as fully supervised methods while using only clipped measurements for training.

AINeutralarXiv – CS AI · Mar 34/103
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DAWN-FM: Data-Aware and Noise-Informed Flow Matching for Solving Inverse Problems

Researchers introduce DAWN-FM, a new AI method using Flow Matching to solve inverse problems in fields like medical imaging and signal processing. The approach incorporates data and noise embedding to provide robust solutions even with incomplete or noisy observations, outperforming pretrained diffusion models in highly ill-posed scenarios.

AINeutralarXiv – CS AI · Mar 34/105
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Solving Inverse PDE Problems using Minimization Methods and AI

Researchers published a study comparing traditional numerical methods with Physics-Informed Neural Networks (PINNs) for solving direct and inverse problems in differential equations. The work demonstrates that PINNs can effectively estimate solutions at competitive computational costs for complex systems like the Porous Medium Equation.