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This paper proposes ReBNet, an end-to-end framework for training reconfigurable binary neural networks on software and developing efficient accelerators for execution on FPGA. Binary neural networks offer an intriguing opportunity for…

Machine Learning · Computer Science 2018-03-29 Mohammad Ghasemzadeh , Mohammad Samragh , Farinaz Koushanfar

We propose a method combining boundary integral equations and neural networks (BINet) to solve partial differential equations (PDEs) in both bounded and unbounded domains. Unlike existing solutions that directly operate over original PDEs,…

Numerical Analysis · Mathematics 2021-10-04 Guochang Lin , Pipi Hu , Fukai Chen , Xiang Chen , Junqing Chen , Jun Wang , Zuoqiang Shi

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

We describe a framework for reformulating and solving optimization problems that generalizes the well-known framework originally introduced by Benders. We discuss details of the application of the procedures to several classes of…

Optimization and Control · Mathematics 2023-07-14 Suresh Bolusani , Ted K. Ralphs

In this paper, we formulate the hyperparameter tuning problem in machine learning as a bilevel program. The bilevel program is solved using a micro genetic algorithm that is enhanced with a linear program. While the genetic algorithm…

Machine Learning · Computer Science 2024-07-02 Ankur Sinha , Paritosh Pankaj

Deep neural networks have achieved impressive supervised classification performance in many tasks including image recognition, speech recognition, and sequence to sequence learning. However, this success has not been translated to…

Machine Learning · Computer Science 2016-08-05 Arvind Neelakantan , Quoc V. Le , Ilya Sutskever

Conventional learning methods simplify the bilinear model by regarding two intrinsically coupled factors independently, which degrades the optimization procedure. One reason lies in the insufficient training due to the asynchronous gradient…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Li'an Zhuo , Baochang Zhang , Linlin Yang , Hanlin Chen , Qixiang Ye , David Doermann , Guodong Guo , Rongrong Ji

Deep learning (DL) has recently changed the development of intelligent systems and is widely adopted in many real-life applications. Despite their various benefits and potentials, there is a high demand for DL processing in different…

Neural and Evolutionary Computing · Computer Science 2023-04-05 Chunyu Yuan , Sos S. Agaian

A wide range of applications arising in machine learning and signal processing can be cast as convex optimization problems. These problems are often ill-posed, i.e., the optimal solution lacks a desired property such as uniqueness or…

Optimization and Control · Mathematics 2019-07-18 Mostafa Amini , Farzad Yousefian

Convolutional neural networks have achieved astonishing results in different application areas. Various methods that allow us to use these models on mobile and embedded devices have been proposed. Especially binary neural networks are a…

Machine Learning · Computer Science 2018-12-06 Joseph Bethge , Marvin Bornstein , Adrian Loy , Haojin Yang , Christoph Meinel

Bilevel optimization problems comprise an upper level optimization task that contains a lower level optimization task as a constraint. While there is a significant and growing literature devoted to solving bilevel problems with single…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Bing Wang , Hemant K. Singh , Tapabrata Ray

Bilevel optimization has witnessed a resurgence of interest, driven by its critical role in trustworthy and efficient AI applications. While many recent works have established convergence to stationary points or local minima, obtaining the…

Optimization and Control · Mathematics 2024-12-25 Quan Xiao , Tianyi Chen

Binary Neural Networks (BNNs) significantly reduce computational complexity and memory usage in machine and deep learning by representing weights and activations with just one bit. However, most existing training algorithms for BNNs rely on…

Machine Learning · Computer Science 2025-12-08 Luca Colombo , Fabrizio Pittorino , Manuel Roveri

Estimating hyperparameters has been a long-standing problem in machine learning. We consider the case where the task at hand is modeled as the solution to an optimization problem. Here the exact gradient with respect to the hyperparameters…

Optimization and Control · Mathematics 2023-11-16 Matthias J. Ehrhardt , Lindon Roberts

Low rank approximation is a commonly occurring problem in many computer vision and machine learning applications. There are two common ways of optimizing the resulting models. Either the set of matrices with a given rank can be explicitly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Marcus Valtonen Örnhag , Carl Olsson , Anders Heyden

We consider a bilevel optimization problem in which the ground set is partitioned between two decision makers, a leader and a follower, whose optimization problems are interleaved. We study the Bilevel Independent Set problem, and its…

Data Structures and Algorithms · Computer Science 2026-05-26 Komal Muluk

Due to the hierarchical structure of many machine learning problems, bilevel programming is becoming more and more important recently, however, the complicated correlation between the inner and outer problem makes it extremely challenging…

Machine Learning · Computer Science 2020-09-03 Junyi Li , Bin Gu , Heng Huang

This paper aims to efficiently compute transport maps between probability distributions arising from particle representation of bio-physical problems. We develop a bidirectional DeepParticle (BDP) method to learn and generate solutions…

Computational Physics · Physics 2025-04-17 Tan Zhang , Zhongjian Wang , Jack Xin , Zhiwen Zhang

Convolutional neural networks have achieved astonishing results in different application areas. Various methods which allow us to use these models on mobile and embedded devices have been proposed. Especially binary neural networks seem to…

Machine Learning · Computer Science 2018-09-28 Joseph Bethge , Haojin Yang , Christian Bartz , Christoph Meinel

This paper presents a novel deep learning framework for solving multiple optimal stopping problems in high dimensions. While deep learning has recently shown promise for single stopping problems, the multiple exercise case involves complex…

Optimization and Control · Mathematics 2025-12-30 Mathieu Laurière , Mehdi Talbi