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This article proposes a biconvex modification to convex biclustering in order to improve its performance in high-dimensional settings. In contrast to heuristics that discard a subset of noisy features a priori, our method jointly learns and…

Machine Learning · Statistics 2026-04-13 Sam Rosen , Eric C. Chi , Jason Xu

We consider blind ptychography, an imaging technique which aims to reconstruct an object of interest from a set of its diffraction patterns, each obtained by a local illumination. As the distribution of the light within the illuminated…

Numerical Analysis · Mathematics 2023-06-16 Oleh Melnyk

A probabilistic technique for the joint estimation of background and sources with the aim of detecting faint and extended celestial objects is described. Bayesian probability theory is applied to gain insight into the coexistence of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Guglielmetti , R. Fischer , V. Dose

Illuminating a scene with artificial light is a prerequisite for seeing in dark environments. However, nonuniform and dynamic illumination can deteriorate or even break computer vision approaches, for instance when operating a robot with…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Yifan Song , Furkan Elibol , Mengkun She , David Nakath , Kevin Köser

We introduce a theoretical framework for differentiable surface evolution that allows discrete topology changes through the use of topological derivatives for variational optimization of image functionals. While prior methods for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

Detecting hidden convexity is one of the tools to address nonconvex minimization problems. After giving a formal definition of hidden convexity, we introduce the notion of conditional infimum, as it will prove instrumental in detecting…

Optimization and Control · Mathematics 2021-04-13 Jean-Philippe Chancelier , Michel de Lara

This work is concerned with the convex analysis of functions defined on (not necessarily finite-dimensional) Hilbert spaces whose values depend solely on a certain ``spectrum'' of the arguments, a class we term ``spectral functions.'' We…

Optimization and Control · Mathematics 2026-03-11 Hòa T. Bùi , Minh N. Bùi , Christian Clason

Illumination is the deliberate utilization of light to realize practical or aesthetic effects. The designers combine with the environmental considerations, energy-saving goals, and technology advances with fundamental physics to develop…

Optics · Physics 2021-02-26 Shili Wei , Zhengbo Zhu , Wenyi Li , Donglin Ma

Despite significant advancements in network-based image harmonization techniques, there still exists a domain disparity between typical training pairs and real-world composites encountered during inference. Most existing methods are trained…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Chris Careaga , S. Mahdi H. Miangoleh , Yağız Aksoy

This paper describes a linear solution method for near-light photometric stereo by exploiting symmetric light source arrangements. Unlike conventional non-convex optimization approaches, by arranging multiple sets of symmetric nearby light…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Lilika Makabe , Heng Guo , Hiroaki Santo , Fumio Okura , Yasuyuki Matsushita

With the goal of tuning up the brightness, low-light image enhancement enjoys numerous applications, such as surveillance, remote sensing and computational photography. Images captured under low-light conditions often suffer from poor…

Image and Video Processing · Electrical Eng. & Systems 2021-01-21 Zhuqing Jiang , Chang Liu , Ya'nan Wang , Kai Li , Aidong Men , Haiying Wang , Haiyong Luo

For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associate a new affine invariant to any convex body.

Complex Variables · Mathematics 2016-04-12 Purvi Gupta

Given an affine variety X and a finite dimensional vector space of regular functions L on X, we associate a convex body to (X, L) such that its volume is responsible for the number of solutions of a generic system of functions from L. This…

Algebraic Geometry · Mathematics 2008-04-28 Kiumars Kaveh , Askold G. Khovanskii

Electromagnetically-induced transparency has become an important tool to control the optical properties of dense media. However, in a broad class of systems, the interplay between inhomogeneous broadening and the existence of several…

Quantum Physics · Physics 2012-05-10 M. Scherman , O. S. Mishina , P. Lombardi , E. Giacobino , J. Laurat

Use denoising diffusion implicit model for bridge-type innovation. The process of adding noise and denoising to an image can be likened to the process of a corpse rotting and a detective restoring the scene of a victim being killed, to help…

Machine Learning · Computer Science 2024-02-13 Hongjun Zhang

Image matting is a fundamental computer vision problem and has many applications. Previous algorithms have poor performance when an image has similar foreground and background colors or complicated textures. The main reasons are prior…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Ning Xu , Brian Price , Scott Cohen , Thomas Huang

For computing the exact value of the halfspace depth of a point w.r.t. a data cloud of $n$ points in arbitrary dimension, a theoretical framework is suggested. Based on this framework a whole class of algorithms can be derived. In all of…

Computation · Statistics 2016-01-13 Rainer Dyckerhoff , Pavlo Mozharovskyi

We propose a method to compute depth maps for every sub-aperture image in a light field in a view consistent way. Previous light field depth estimation methods typically estimate a depth map only for the central sub-aperture view, and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Numair Khan , Min H. Kim , James Tompkin

The mirror descent algorithm is known to be effective in situations where it is beneficial to adapt the mirror map to the underlying geometry of the optimization model. However, the effect of mirror maps on the geometry of distributed…

Optimization and Control · Mathematics 2024-03-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

Covering a convex body by its homothets is a classical notion in discrete geometry that has resulted in a number of interesting and long-standing problems. Swanepoel introduced the covering parameter of a convex body as a means of…

Metric Geometry · Mathematics 2017-04-25 Karoly Bezdek , Muhammad A. Khan
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