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Consider a problem where a set of feasible observations are provided by an expert and a cost function is defined that characterizes which of the observations dominate the others and are hence, preferred. Our goal is to find a set of linear…

Optimization and Control · Mathematics 2020-09-14 Kimia Ghobadi , Houra Mahmoudzadeh

The ability to describe images with natural language sentences is the hallmark for image and language understanding. Such a system has wide ranging applications such as annotating images and using natural sentences to search for images.In…

Machine Learning · Computer Science 2016-01-15 Afroze Ibrahim Baqapuri

We extend the diffusion-map formalism to data sets that are induced by asymmetric kernels. Analytical convergence results of the resulting expansion are proved, and an algorithm is proposed to perform the dimensional reduction. In this work…

Machine Learning · Computer Science 2024-01-24 Alvaro Almeida Gomez , Antonio Silva Neto , Jorge zubelli

This paper describes the transformation of a traditional in-silico classification network into an optical fully convolutional neural network with high-resolution feature maps and kernels. When using the free-space 4f system to accelerate…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Riad Ibadulla , Thomas M. Chen , Constantino Carlos Reyes-Aldasoro

Pan-sharpening algorithms utilize a panchromatic image and a multispectral image to generate a high spatial and high spectral image. However, the optimizations of the algorithms are designed with different standards. We employ a simple…

Machine Learning · Computer Science 2025-07-17 Shiqi Liu , Yihua Tan , Yutong Bai , Alan Yuille

The fast-growing need for grey-box and black-box optimization methods for constrained global optimization problems in fields such as medicine, chemistry, engineering and artificial intelligence, has contributed for the design of new…

Optimization and Control · Mathematics 2020-01-01 Phillipe R. Sampaio

We study multidimensional configurations (infinite words) and subshifts of low pattern complexity using tools of algebraic geometry. We express the configuration as a multivariate formal power series over integers and investigate the setup…

Discrete Mathematics · Computer Science 2016-05-20 Jarkko Kari , Michal Szabados

As the saying goes, "seeing is believing". However, with the development of digital face editing tools, we can no longer trust what we can see. Although face forgery detection has made promising progress, most current methods are designed…

Computer Vision and Pattern Recognition · Computer Science 2023-06-19 Xiao Jin , Xin-Yue Mu , Jing Xu

We propose a novel framework for creating large-scale photorealistic datasets of indoor scenes, with ground truth geometry, material, lighting and semantics. Our goal is to make the dataset creation process widely accessible, transforming…

We present a novel convolutional neural network architecture for photometric stereo (Woodham, 1980), a problem of recovering 3D object surface normals from multiple images observed under varying illuminations. Despite its long history in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Tatsunori Taniai , Takanori Maehara

Score-based diffusion models in infinite-dimensional function spaces provide a mathematically principled framework for modelling function-valued data, offering key advantages such as resolution invariance and the ability to handle irregular…

Machine Learning · Computer Science 2026-05-06 James Rowbottom , Elizabeth L. Baker , Nick Huang , Ben Adcock , Carola-Bibiane Schönlieb , Alexander Denker

Predicting measurement outcomes from an underlying structure often follows directly from fundamental physical principles. However, a fundamental challenge is posed when trying to solve the inverse problem of inferring the underlying…

Implicit neural representations (INRs) have become an important method for encoding various data types, such as 3D objects or scenes, images, and videos. They have proven to be particularly effective at representing 3D content, e.g., 3D…

Machine Learning · Computer Science 2025-01-28 Yushi Guan , Daniel Kwan , Ruofan Liang , Selvakumar Panneer , Nilesh Jain , Nilesh Ahuja , Nandita Vijaykumar

Inverse rendering in a 3D format denoted to recovering the 3D properties of a scene given 2D input image(s) and is typically done using 3D Morphable Model (3DMM) based methods from single view images. These models formulate each face as a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-01 Shima Kamyab , Ali Ghodsi , S. Zohreh Azimifar

Recovering high-dimensional signals from corrupted measurements is a central challenge in inverse problems. Recent advances in generative diffusion models have shown remarkable empirical success in providing strong data-driven priors, but…

Machine Learning · Computer Science 2025-09-26 Oscar Leong , Yann Traonmilin

Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values…

Numerical Analysis · Mathematics 2026-04-16 Howard W Levinson , Isaac Viviano

A new class of applications based on visual search engines are emerging, especially on smart-phones that have evolved into powerful tools for processing images and videos. The state-of-the-art algorithms for large visual content recognition…

Computer Vision and Pattern Recognition · Computer Science 2016-04-15 Giuseppe Amato , Fabrizio Falchi , Claudio Gennaro

We study the existence of global implicit functions for equations defined on open subsets of Banach spaces. The partial derivative with respect to the second variable is only required to have a left inverse instead of being invertible.…

Optimization and Control · Mathematics 2021-08-18 Thomas Berger , Frédéric Haller

We propose and test a method to reduce the dimensionality of Full Waveform Inversion (FWI) inputs as computational cost mitigation approach. Given modern seismic acquisition systems, the data (as input for FWI) required for an…

Machine Learning · Computer Science 2026-01-06 Maayan Gelboim , Amir Adler , Mauricio Araya-Polo

This paper proposes and develops new Newton-type methods to solve structured nonconvex and nonsmooth optimization problems with justifying their fast local and global convergence by means of advanced tools of variational analysis and…

Optimization and Control · Mathematics 2026-03-03 Pham Duy Khanh , Boris S. Mordukhovich , Vo Thanh Phat