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Optimal transport is an important tool in machine learning, allowing to capture geometric properties of the data through a linear program on transport polytopes. We present a single-loop optimization algorithm for minimizing general convex…

Machine Learning · Computer Science 2023-06-21 Marin Ballu , Quentin Berthet

In recent years deep neural networks have been successfully applied to the domains of reinforcement learning \cite{bengio2009learning,krizhevsky2012imagenet,hinton2006reducing}. Deep reinforcement learning \cite{mnih2015human} is reported…

Machine Learning · Computer Science 2020-05-19 Huihui Zhang , Wu Huang

Deep declarative networks and other recent related works have shown how to differentiate the solution map of a (continuous) parametrized optimization problem, opening up the possibility of embedding mathematical optimization problems into…

Machine Learning · Computer Science 2022-02-28 Stephen Gould , Dylan Campbell , Itzik Ben-Shabat , Chamin Hewa Koneputugodage , Zhiwei Xu

We consider inference (filtering) problems over probabilistic graphical models with aggregate data generated by a large population of individuals. We propose a new efficient belief propagation type algorithm over tree-structured graphs with…

Machine Learning · Computer Science 2020-10-06 Rahul Singh , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

While routing in wireless networks has been studied extensively, existing protocols are typically designed for a specific set of network conditions and so cannot accommodate any drastic changes in those conditions. For instance, protocols…

Networking and Internet Architecture · Computer Science 2021-01-01 Victoria Manfredi , Alicia Wolfe , Bing Wang , Xiaolan Zhang

Deep neural networks have become a mainstream approach to interactive segmentation. As we show in our experiments, while for some images a trained network provides accurate segmentation result with just a few clicks, for some unknown…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Konstantin Sofiiuk , Ilia Petrov , Olga Barinova , Anton Konushin

Similarity-based image hashing represents crucial technique for visual data storage reduction and expedited image search. Conventional hashing schemes typically feed hand-crafted features into hash functions, which separates the procedures…

Computer Vision and Pattern Recognition · Computer Science 2016-08-15 Yadong Mu , Zhu Liu

We propose a novel, connectivity-oriented loss function for training deep convolutional networks to reconstruct network-like structures, like roads and irrigation canals, from aerial images. The main idea behind our loss is to express the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Doruk Oner , Mateusz Koziński , Leonardo Citraro , Nathan C. Dadap , Alexandra G. Konings , Pascal Fua

Neural networks have greatly boosted performance in computer vision by learning powerful representations of input data. The drawback of end-to-end training for maximal overall performance are black-box models whose hidden representations…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Patrick Esser , Robin Rombach , Björn Ommer

We propose a new framework for formulating optimal transport distances between Markov chains. Previously known formulations studied couplings between the entire joint distribution induced by the chains, and derived solutions via a reduction…

Machine Learning · Computer Science 2024-06-17 Sergio Calo , Anders Jonsson , Gergely Neu , Ludovic Schwartz , Javier Segovia-Aguas

Entropic optimal transport problems play an increasingly important role in machine learning and generative modelling. In contrast with optimal transport maps which often have limited applicability in high dimensions, Schrodinger bridges can…

Probability · Mathematics 2026-01-21 Pierre Del Moral , Ajay Jasra

Order Picker Routing is a critical issue in Warehouse Operations Management. Due to the complexity of the problem and the need for quick solutions, suboptimal algorithms are frequently employed in practice. However, Reinforcement Learning…

Machine Learning · Computer Science 2024-02-07 George Dunn , Hadi Charkhgard , Ali Eshragh , Sasan Mahmoudinazlou , Elizabeth Stojanovski

We introduce a combinatorial optimization-enriched machine learning pipeline and a novel learning paradigm to solve inventory routing problems with stochastic demand and dynamic inventory updates. After each inventory update, our approach…

Optimization and Control · Mathematics 2024-02-08 Toni Greif , Louis Bouvier , Christoph M. Flath , Axel Parmentier , Sonja U. K. Rohmer , Thibaut Vidal

This paper studies the evaluation of routing algorithms from the perspective of reachability routing, where the goal is to determine all paths between a sender and a receiver. Reachability routing is becoming relevant with the changing…

Networking and Internet Architecture · Computer Science 2007-05-23 Srinidhi Varadarajan , Naren Ramakrishnan

Sequential learning in deep models often suffers from challenges such as catastrophic forgetting and loss of plasticity, largely due to the permutation dependence of gradient-based algorithms, where the order of training data impacts the…

Machine Learning · Computer Science 2024-10-31 Akhilan Boopathy , Aneesh Muppidi , Peggy Yang , Abhiram Iyer , William Yue , Ila Fiete

Compressed Sensing MRI (CS-MRI) has shown promise in reconstructing under-sampled MR images, offering the potential to reduce scan times. Classical techniques minimize a regularized least-squares cost function using an expensive iterative…

Image and Video Processing · Electrical Eng. & Systems 2020-07-30 Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

In this paper, we study the problem of learning compact (low-dimensional) representations for sequential data that captures its implicit spatio-temporal cues. To maximize extraction of such informative cues from the data, we set the problem…

Machine Learning · Computer Science 2020-07-14 Anoop Cherian , Shuchin Aeron

In this paper we introduce a theoretical framework for semi-discrete optimization using ideas from optimal transport. Our primary motivation is in the field of deep learning, and specifically in the task of neural architecture search. With…

Analysis of PDEs · Mathematics 2022-02-01 Nicolas Garcia Trillos , Javier Morales

Modern machine learning systems need to be able to cope with constantly arriving and changing data. Two main areas of research dealing with such scenarios are continual learning and data stream mining. Continual learning focuses on…

Machine Learning · Computer Science 2021-04-27 Łukasz Korycki , Bartosz Krawczyk

This paper introduces a deep learning modular network for side-channel analysis. Our deep learning approach features the capability to exchange part of it (modules) with others networks. We aim to introduce reusable trained modules into…

Cryptography and Security · Computer Science 2022-03-18 Servio Paguada , Lejla Batina , Ileana Buhan , Igor Armendariz
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