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We study the problem of instance segmentation in biological images with crowded and compact cells. We formulate this task as an integer program where variables correspond to cells and constraints enforce that cells do not overlap. To solve…

Computer Vision and Pattern Recognition · Computer Science 2017-09-22 Chong Zhang , Shaofei Wang , Miguel A. Gonzalez-Ballester , Julian Yarkony

We study the problem of multi-person pose estimation in natural images. A pose estimate describes the spatial position and identity (head, foot, knee, etc.) of every non-occluded body part of a person. Pose estimation is difficult due to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Shaofei Wang , Chong Zhang , Miguel A. Gonzalez-Ballester , Alexander Ihler , Julian Yarkony

The Set Partitioning Problem is a combinatorial optimization problem with wide-ranging applicability, used to model various real-world tasks such as facility location and crew scheduling. However, real-world applications often require…

Optimization and Control · Mathematics 2025-03-24 Yasuyuki Ihara

Column generation and branch-and-price are leading methods for large-scale exact optimization. Column generation iterates between solving a master problem and a pricing problem. The master problem is a linear program, which can be solved…

Optimization and Control · Mathematics 2025-10-17 Ryo Kuroiwa , Edward Lam

In this work, we address the exact D-optimal experimental design problem by proposing an efficient algorithm that rapidly identifies the support of its continuous relaxation. Our method leverages a column generation framework to solve such…

Optimization and Control · Mathematics 2026-05-18 Selin Ahipasaoglu , Stefano Cipolla , Jacek Gondzio

This paper studies the estimation of ranked-list discrete choice models with single and multiple purchases. In this setting, each consumer type is characterized by a ranking over a subset of products and a desired number of purchases, and…

Data Structures and Algorithms · Computer Science 2026-05-11 Luciano Costa , Gerardo Berbeglia , Claudio Contardo , Jean-François Cordeau

Column generation is often used to solve multi-commodity flow problems. A program for column generation always includes a module that solves a linear equation. In this paper, we address three major issues in solving linear problem during…

Optimization and Control · Mathematics 2019-03-19 Liyun Dai , Hengjun Zhao , Zhiming Liu

The progress in imaging techniques have allowed the study of various aspect of cellular mechanisms. To isolate individual cells in live imaging data, we introduce an elegant image segmentation framework that effectively extracts cell…

Computer Vision and Pattern Recognition · Computer Science 2016-02-18 Arnaud Browet , Christophe De Vleeschouwer , Laurent Jacques , Navrita Mathiah , Bechara Saykali , Isabelle Migeotte

We consider a fashion discounter distributing its many branches with integral multiples from a set of available lot-types. For the problem of approximating the branch and size dependent demand using those lots we propose a tailored exact…

Optimization and Control · Mathematics 2020-08-07 Miriam Kießling , Sascha Kurz , Jörg Rambau

In this article we introduce Graph Generation, an enhanced Column Generation (CG) algorithm for solving expanded linear programming relaxations of mixed integer linear programs. To apply Graph Generation, we must be able to map any given…

Optimization and Control · Mathematics 2021-10-05 Julian Yarkony , Naveed Haghani , Amelia Regan

We propose a randomized method for solving linear programs with a large number of columns but a relatively small number of constraints. Since enumerating all the columns is usually unrealistic, such linear programs are commonly solved by…

Optimization and Control · Mathematics 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić

Human image generation is a very challenging task since it is affected by many factors. Many human image generation methods focus on generating human images conditioned on a given pose, while the generated backgrounds are often blurred.In…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Dong Liang , Rui Wang , Xiaowei Tian , Cong Zou

We introduce CellSegmenter, a structured deep generative model and an amortized inference framework for unsupervised representation learning and instance segmentation tasks. The proposed inference algorithm is convolutional and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Luca D'Alessio , Mehrtash Babadi

The Cell Formation Problem has been studied as an optimization problem in manufacturing for more than 90 years. It consists of grouping machines and parts into manufacturing cells in order to maximize loading of cells and minimize movement…

Data Structures and Algorithms · Computer Science 2017-08-29 Ilya Bychkov , Mikhail Batsyn

We develop algorithms for inner approximating the cone of positive semidefinite matrices via linear programming and second order cone programming. Starting with an initial linear algebraic approximation suggested recently by Ahmadi and…

Optimization and Control · Mathematics 2016-03-14 Amir Ali Ahmadi , Sanjeeb Dash , Georgina Hall

We present the first image-based generative model of people in clothing for the full body. We sidestep the commonly used complex graphics rendering pipeline and the need for high-quality 3D scans of dressed people. Instead, we learn…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Christoph Lassner , Gerard Pons-Moll , Peter V. Gehler

The team formation and routing problem is a challenging optimization problem with several real-world applications in fields such as airport, healthcare, and maintenance operations. To solve this problem, exact solution methods based on…

Machine Learning · Computer Science 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

We apply column generation to approximating complex structured objects via a set of primitive structured objects under either the cross entropy or L2 loss. We use L1 regularization to encourage the use of few structured primitive objects.…

Machine Learning · Computer Science 2016-02-16 Julian Yarkony , Kamalika Chaudhuri

In this paper, we propose a new approach for building cellular automata to solve real-world segmentation problems. We design and train a cellular automaton that can successfully segment high-resolution images. We consider a colony that…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Mark Sandler , Andrey Zhmoginov , Liangcheng Luo , Alexander Mordvintsev , Ettore Randazzo , Blaise Agúera y Arcas
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