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Multigrid modeling algorithms are a technique used to accelerate relaxation models running on a hierarchy of similar graphlike structures. We introduce and demonstrate a new method for training neural networks which uses multilevel methods.…

Machine Learning · Computer Science 2019-05-22 C. B. Scott , Eric Mjolsness

In this paper, we propose a method to perform empirical analysis of the loss landscape of machine learning (ML) models. The method is applied to two ML models for scientific sensing, which necessitates quantization to be deployed and are…

Machine Learning · Computer Science 2025-02-17 Tommaso Baldi , Javier Campos , Olivia Weng , Caleb Geniesse , Nhan Tran , Ryan Kastner , Alessandro Biondi

Understanding the structure of neural network loss surfaces, particularly the emergence of low-loss tunnels, is critical for advancing neural network theory and practice. In this paper, we propose a novel approach to directly embed loss…

Machine Learning · Computer Science 2025-03-06 Daniel Dold , Julius Kobialka , Nicolai Palm , Emanuel Sommer , David Rügamer , Oliver Dürr

When training neural models, it is common to combine multiple loss terms. The balancing of these terms requires considerable human effort and is computationally demanding. Moreover, the optimal trade-off between the loss term can change as…

Machine Learning · Computer Science 2020-06-29 Itzik Malkiel , Lior Wolf

Supervised training of neural networks for classification is typically performed with a global loss function. The loss function provides a gradient for the output layer, and this gradient is back-propagated to hidden layers to dictate an…

Machine Learning · Statistics 2019-05-09 Arild Nøkland , Lars Hiller Eidnes

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

Optimization and Control · Mathematics 2020-08-28 Filip Hanzely

Training neural networks is an optimization problem, and finding a decent set of parameters through gradient descent can be a difficult task. A host of techniques has been developed to aid this process before and during the training phase.…

Machine Learning · Computer Science 2020-08-19 Divya Gaur , Joachim Folz , Andreas Dengel

This paper tackles the problem of training a deep convolutional neural network with both low-precision weights and low-bitwidth activations. Optimizing a low-precision network is very challenging since the training process can easily get…

Computer Vision and Pattern Recognition · Computer Science 2021-06-05 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Lingqiao Liu , Ian Reid

With the increasing popularity of non-convex deep models, developing a unifying theory for studying the optimization problems that arise from training these models becomes very significant. Toward this end, we present in this paper a…

Optimization and Control · Mathematics 2023-08-07 Maher Nouiehed , Meisam Razaviyayn

The use of machine learning techniques to improve the performance of branch-and-bound optimization algorithms is a very active area in the context of mixed integer linear problems, but little has been done for non-linear optimization. To…

In model-based reinforcement learning, most algorithms rely on simulating trajectories from one-step models of the dynamics learned on data. A critical challenge of this approach is the compounding of one-step prediction errors as the…

Machine Learning · Computer Science 2024-02-06 Abdelhakim Benechehab , Albert Thomas , Giuseppe Paolo , Maurizio Filippone , Balázs Kégl

In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

Machine Learning · Computer Science 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

In this work, we propose to progressively increase the training difficulty during learning a neural network model via a novel strategy which we call mini-batch trimming. This strategy makes sure that the optimizer puts its focus in the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Hannes Fassold

Exploratory Landscape Analysis is a powerful technique for numerically characterizing landscapes of single-objective continuous optimization problems. Landscape insights are crucial both for problem understanding as well as for assessing…

Machine Learning · Computer Science 2022-04-15 Moritz Vinzent Seiler , Raphael Patrick Prager , Pascal Kerschke , Heike Trautmann

While much of the work in the design of convolutional networks over the last five years has revolved around the empirical investigation of the importance of depth, filter sizes, and number of feature channels, recent studies have shown that…

Machine Learning · Computer Science 2017-12-08 Karim Ahmed , Lorenzo Torresani

We present Neural Random Forest Imitation - a novel approach for transforming random forests into neural networks. Existing methods propose a direct mapping and produce very inefficient architectures. In this work, we introduce an imitation…

Machine Learning · Computer Science 2024-04-05 Christoph Reinders , Bodo Rosenhahn

This paper presents a novel hybrid approach that integrates linear programming (LP) within the loss function of an unsupervised machine learning model. By leveraging the strengths of both optimization techniques and machine learning, this…

Machine Learning · Computer Science 2025-04-21 Andrew Kiruluta , Andreas Lemos

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Recent work introduced loss functions which measure the error of a prediction based on multiple simultaneous observations or outcomes. In this paper, we explore the theoretical and practical questions that arise when using such…

Machine Learning · Computer Science 2018-02-28 Rafael Frongillo , Nishant A. Mehta , Tom Morgan , Bo Waggoner

To mitigate the negative effect of low quality training data on the performance of neural machine translation models, most existing strategies focus on filtering out harmful data before training starts. In this paper, we explore strategies…

Computation and Language · Computer Science 2021-03-01 Xinyi Wang , Ankur Bapna , Melvin Johnson , Orhan Firat
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