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A novel gradient boosting framework is proposed where shallow neural networks are employed as ``weak learners''. General loss functions are considered under this unified framework with specific examples presented for classification,…

Machine Learning · Computer Science 2020-06-16 Sarkhan Badirli , Xuanqing Liu , Zhengming Xing , Avradeep Bhowmik , Khoa Doan , Sathiya S. Keerthi

Various problems in Engineering and Statistics require the computation of the likelihood ratio function of two probability densities. In classical approaches the two densities are assumed known or to belong to some known parametric family.…

Signal Processing · Electrical Eng. & Systems 2019-11-06 George V. Moustakides , Kalliopi Basioti

We propose Trusted Neural Network (TNN) models, which are deep neural network models that satisfy safety constraints critical to the application domain. We investigate different mechanisms for incorporating rule-based knowledge in the form…

Machine Learning · Computer Science 2018-05-21 Shalini Ghosh , Amaury Mercier , Dheeraj Pichapati , Susmit Jha , Vinod Yegneswaran , Patrick Lincoln

Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

Machine Learning · Computer Science 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

Bayesian Networks may be appealing for clinical decision-making due to their inclusion of causal knowledge, but their practical adoption remains limited as a result of their inability to deal with unstructured data. While neural networks do…

Machine Learning · Computer Science 2022-11-16 Paloma Rabaey , Cedric De Boom , Thomas Demeester

Reweighting a distribution to minimize a distance to a target distribution is a powerful and flexible strategy for estimating a wide range of causal effects, but can be challenging in practice because optimal weights typically depend on…

Machine Learning · Statistics 2026-02-16 Oscar Clivio , Avi Feller , Chris Holmes

Educational policymakers often lack data on student outcomes where standardized tests were not administered. Machine learning can predict unobserved outcomes in target populations using source population data. However, covariate…

Despite the power of deep neural networks for a wide range of tasks, an overconfident prediction issue has limited their practical use in many safety-critical applications. Many recent works have been proposed to mitigate this issue, but…

Machine Learning · Computer Science 2020-08-14 Jooyoung Moon , Jihyo Kim , Younghak Shin , Sangheum Hwang

The aim of this work is to develop a neural network for modelling incompressible hyperelastic behaviour with isotropic damage, the so-called Mullins effect. This is obtained through the use of feed-forward neural networks with special…

Computational Physics · Physics 2024-11-21 Martin Zlatić , Marko Čanađija

A quadratic approximation of neural network loss landscapes has been extensively used to study the optimization process of these networks. Though, it usually holds in a very small neighborhood of the minimum, it cannot explain many…

Machine Learning · Computer Science 2022-06-23 Chao Ma , Daniel Kunin , Lei Wu , Lexing Ying

Quantifying causal effects in the presence of complex and multivariate outcomes remains a key challenge in treatment evaluation. For hierarchical multivariate outcomes, the FDA recommends the Win Ratio and Generalized Pairwise Comparisons…

Methodology · Statistics 2026-03-24 Mathieu Even , Julie Josse

Despite the recent successes of deep neural networks, the corresponding training problem remains highly non-convex and difficult to optimize. Classes of models have been proposed that introduce greater structure to the objective function at…

Machine Learning · Computer Science 2019-11-15 Fangda Gu , Armin Askari , Laurent El Ghaoui

Firth-type logistic regression has become a standard approach for the analysis of binary outcomes with small samples. Whereas it reduces the bias in maximum likelihood estimates of coefficients, bias towards 1/2 is introduced in the…

Methodology · Statistics 2021-01-20 Rainer Puhr , Georg Heinze , Mariana Nold , Lara Lusa , Angelika Geroldinger

Traditionally Bayesian decision-theoretic design of experiments proceeds by choosing a design to minimise expectation of a given loss function over the space of all designs. The loss function encapsulates the aim of the experiment, and the…

Methodology · Statistics 2021-08-10 Antony M. Overstall , James M. McGree

Many marketing applications, including credit card incentive programs, offer rewards to customers who exceed specific spending thresholds to encourage increased consumption. Quantifying the causal effect of these thresholds on customers is…

Methodology · Statistics 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa

Low-rank factorization is a popular model compression technique that minimizes the error $\delta$ between approximated and original weight matrices. Despite achieving performances close to the original models when $\delta$ is optimized, a…

Machine Learning · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

Combining empirical risk minimization with capacity control is a classical strategy in machine learning when trying to control the generalization gap and avoid overfitting, as the model class capacity gets larger. Yet, in modern deep…

Machine Learning · Computer Science 2024-03-18 Marc Lafon , Alexandre Thomas

In this paper, orthogonal to the existing data and model studies, we instead resort our efforts to investigate the potential of loss function in a new perspective and present our belief ``Random Weights Networks can Be Acted as Loss Prior…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Man Zhou , Naishan Zheng , Jie Huang , Xiangyu Rui , Chunle Guo , Deyu Meng , Chongyi Li , Jinwei Gu

For three decades statistical mechanics has been providing a framework to analyse neural networks. However, the theoretically tractable models, e.g., perceptrons, random features models and kernel machines, or multi-index models and…

Machine Learning · Statistics 2025-06-02 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk

We propose incremental (re)training of a neural network model to cope with a continuous flow of new data in inference during model serving. As such, this is a life-long learning process. We address two challenges of life-long retraining:…

Machine Learning · Computer Science 2020-04-30 Diego Klabjan , Xiaofeng Zhu