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Many machine learning tasks require sampling a subset of items from a collection based on a parameterized distribution. The Gumbel-softmax trick can be used to sample a single item, and allows for low-variance reparameterized gradients with…

Machine Learning · Computer Science 2021-03-02 Sang Michael Xie , Stefano Ermon

This paper addresses the problem of optimizing sensor deployment locations to reconstruct and also predict a spatiotemporal field. A novel deep learning framework is developed to find a limited number of optimal sampling locations and based…

Signal Processing · Electrical Eng. & Systems 2019-10-30 Jiahong Chen , Teng Li , Jing Wang , Clarence W. de Silva

In optimizing real-world structures, due to fabrication or budgetary restraints, the design variables may be restricted to a set of standard engineering choices. Such variables, commonly called categorical variables, are discrete and…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Mehran Ebrahimi , Hyunmin Cheong , Pradeep Kumar Jayaraman , Farhad Javid

Important applications such as mobile computing require reducing the computational costs of neural network inference. Ideally, applications would specify their preferred tradeoff between accuracy and speed, and the network would optimize…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Charles Herrmann , Richard Strong Bowen , Ramin Zabih

In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2020-04-17 Yaoxin Li , Jing Liu , Guozheng Lin , Yueyuan Hou , Muyun Mou , Jiang Zhang

Diverse human motion prediction aims at predicting multiple possible future pose sequences from a sequence of observed poses. Previous approaches usually employ deep generative networks to model the conditional distribution of data, and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Lingwei Dang , Yongwei Nie , Chengjiang Long , Qing Zhang , Guiqing Li

Variational approximations are increasingly based on gradient-based optimization of expectations estimated by sampling. Handling discrete latent variables is then challenging because the sampling process is not differentiable. Continuous…

Machine Learning · Computer Science 2021-02-09 Tomasz Kuśmierczyk , Arto Klami

The Gumbel-Softmax is a continuous distribution over the simplex that is often used as a relaxation of discrete distributions. Because it can be readily interpreted and easily reparameterized, it enjoys widespread use. We propose a modular…

Machine Learning · Statistics 2022-08-30 Andres Potapczynski , Gabriel Loaiza-Ganem , John P. Cunningham

The Gumbel-Max trick is the basis of many relaxed gradient estimators. These estimators are easy to implement and low variance, but the goal of scaling them comprehensively to large combinatorial distributions is still outstanding. Working…

Machine Learning · Statistics 2021-03-02 Max B. Paulus , Dami Choi , Daniel Tarlow , Andreas Krause , Chris J. Maddison

Many problems in real life can be converted to combinatorial optimization problems (COPs) on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2019-09-17 Jing Liu , Fei Gao , Jiang Zhang

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

Information Theory · Computer Science 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

This paper proposes a robust, high-precision positioning methodology to address localization failures arising from complex background interference in large-scale flight navigation and the computational inefficiency inherent in conventional…

Robotics · Computer Science 2026-01-14 Jing Tao , Banglei Guan , Yang Shang , Shunkun Liang , Qifeng Yu

Soft-argmax operation is commonly adopted in detection-based methods to localize the target position in a differentiable manner. However, training the neural network with soft-argmax makes the shape of the probability map unconstrained.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Jiefeng Li , Tong Chen , Ruiqi Shi , Yujing Lou , Yong-Lu Li , Cewu Lu

Recent advances in data collection technologies have led to the emergence of massive spatial datasets, with measurements obtained at millions of spatial locations. Geostatistical models typically employ Gaussian processes (GPs) to capture…

Methodology · Statistics 2026-05-18 Nicholas Rios , Ben Seiyon Lee

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Recreating complex, high-dimensional global fields from limited data points is a grand challenge across various scientific and industrial domains. Given the prohibitive costs of specialized sensors and the frequent inaccessibility of…

ML models often operate within the context of a larger system that can adapt its response when the ML model is uncertain, such as falling back on safe defaults or a human in the loop. This commonly encountered operational context calls for…

Machine Learning · Computer Science 2022-11-22 Mahmoud Salem , Mohamed Osama Ahmed , Frederick Tung , Gabriel Oliveira

Underwater robot interventions require a high level of safety and reliability. A major challenge to address is a robust and accurate acquisition of localization estimates, as it is a prerequisite to enable more complex tasks, e.g. floating…

Robotics · Computer Science 2019-06-13 Arturo Gomez Chavez , Qingwen Xu , Christian A. Mueller , Sören Schwertfeger , Andreas Birk

Categorical variables are a natural choice for representing discrete structure in the world. However, stochastic neural networks rarely use categorical latent variables due to the inability to backpropagate through samples. In this work, we…

Machine Learning · Statistics 2017-08-08 Eric Jang , Shixiang Gu , Ben Poole
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