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Benchmarking Diffusion Annealing-Based Bayesian Inverse Problem Solvers [PDF]
In recent years, the ascendance of diffusion modeling as a state-of-the-art generative modeling approach has spurred significant interest in their use as priors in Bayesian inverse problems.
Evan Scope Crafts, Umberto Villa
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Deep learning methods for inverse problems [PDF]
In this paper we investigate a variety of deep learning strategies for solving inverse problems. We classify existing deep learning solutions for inverse problems into three categories of Direct Mapping, Data Consistency Optimizer, and Deep Regularizer ...
Shima Kamyab +3 more
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The inverse k-max combinatorial optimization problem [PDF]
Classical combinatorial optimization concerns finding a feasible subset of a ground set in order to optimize an objective function. We address in this article the inverse optimization problem with the k-max function. In other words, we attempt to perturb
Nhan Tran Hoai Ngoc +3 more
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We prove that the largest convex shape that can be placed inside a given convex shape $Q \subset \mathbb{R}^{d}$ in any desired orientation is the largest inscribed ball of $Q$. The statement is true both when "largest" means "largest volume" and when it means "largest surface area". The ball is the unique solution, except when maximizing the perimeter
Sergio Cabello +2 more
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The Fukushima inverse problem [PDF]
Knowing what amount of radioactive material was released from Fukushima in March 2011 is crucial to understand the scope of the consequences. Moreover, it could be used in forward simulations to obtain accurate maps of deposition. But these data are often not publicly available, or are of questionable quality.
Marta Martinez-Camara +5 more
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Analysis of Dipolar Sources in the Solution of the Electroencephalographic Inverse Problem
In this work, we propose a solution to the problem of identification of sources in the brain from measurements of the electrical potential, recorded on the scalp EEG (electroencephalogram), where boundary problems are used to model the skull, brain ...
María Monserrat Morín-Castillo +3 more
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The inverse minisum circle location problem [PDF]
Let n weighted points be given in the plane. The inverse version of the minisum circle location problem deals with modifying the weights of points with minimum cost, such that the sum of the weighted distances from the circumference of a given circle C ...
Gholami Mehraneh, Fathali Jafar
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Category of quantizations and inverse problem
We introduce a category composed of all quantizations of all Poisson algebras. By the category, we can treat in a unified way the various quantizations for all Poisson algebras and develop a new classical limit formulation.
Akifumi Sako
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Application of the Homotopy Method for Fractional Inverse Stefan Problem
The paper presents an application of the homotopy analysis method for solving the one-phase fractional inverse Stefan design problem. The problem was to determine the temperature distribution in the domain and functions describing the temperature and the
Damian Słota +3 more
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Null arguments and the inverse problem
Native speakers can reconstruct null arguments from a linear string of words where they are notoriously absent. How they solve this problem remains an unsolved and largely unaddressed issue.
Pauli Brattico
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