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Implicit models, an emerging model class, compute outputs by iterating a single parameter block to a fixed point. This architecture realizes an infinite-depth, weight-tied network that trains with constant memory, significantly reducing…

Machine Learning · Computer Science 2026-04-01 Jialin Liu , Lisang Ding , Stanley Osher , Wotao Yin

In this work we unify a number of inference learning methods, that are proposed in the literature as alternative training algorithms to the ones based on regular error back-propagation. These inference learning methods were developed with…

Machine Learning · Computer Science 2021-09-14 Christopher Zach

In this work, we analyze the optimization behaviour of common private learning optimization algorithms under heavy-tail class imbalanced distribution. We show that, in a stylized model, optimizing with Gradient Descent with differential…

Machine Learning · Computer Science 2025-07-15 Qiaoyue Tang , Alain Zhiyanov , Mathias Lécuyer

In contrast to the standard classification paradigm where the true class is given to each training pattern, complementary-label learning only uses training patterns each equipped with a complementary label, which only specifies one of the…

Machine Learning · Statistics 2019-11-20 Takashi Ishida , Gang Niu , Aditya Krishna Menon , Masashi Sugiyama

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Bayesian decision theory advocates the Bayes classifier as the optimal approach for minimizing the risk in machine learning problems. Current deep learning algorithms usually solve for the optimal classifier by \emph{implicitly} estimating…

Machine Learning · Computer Science 2025-07-01 Chaoqun Du , Yulin Wang , Shiji Song , Gao Huang

The goal in extreme multi-label classification (XMC) is to tag an instance with a small subset of relevant labels from an extremely large set of possible labels. In addition to the computational burden arising from large number of training…

Machine Learning · Statistics 2020-07-02 Erik Schultheis , Mohammadreza Qaraei , Priyanshu Gupta , Rohit Babbar

We present a latent variable model for classification that provides a novel probabilistic interpretation of neural network softmax classifiers. We derive a variational objective to train the model, analogous to the evidence lower bound…

Machine Learning · Computer Science 2024-01-10 Shehzaad Dhuliawala , Mrinmaya Sachan , Carl Allen

Class imbalance, which is also called long-tailed distribution, is a common problem in classification tasks based on machine learning. If it happens, the minority data will be overwhelmed by the majority, which presents quite a challenge…

Machine Learning · Computer Science 2023-03-29 Jia-Chen Zhao

In this paper, we propose a progressive margin loss (PML) approach for unconstrained facial age classification. Conventional methods make strong assumption on that each class owns adequate instances to outline its data distribution, likely…

Computer Vision and Pattern Recognition · Computer Science 2021-03-04 Zongyong Deng , Hao Liu , Yaoxing Wang , Chenyang Wang , Zekuan Yu , Xuehong Sun

Classification, the process of assigning a label (or class) to an observation given its features, is a common task in many applications. Nonetheless in most real-life applications, the labels can not be fully explained by the observed…

Machine Learning · Statistics 2018-11-07 Johan Barthélemy , Morgane Dumont , Timoteo Carletti

Double descent is a surprising phenomenon in machine learning, in which as the number of model parameters grows relative to the number of data, test error drops as models grow ever larger into the highly overparameterized (data…

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such…

Machine Learning · Statistics 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker

Neural network has attracted great attention for a long time and many researchers are devoted to improve the effectiveness of neural network training algorithms. Though stochastic gradient descent (SGD) and other explicit gradient-based…

Optimization and Control · Mathematics 2020-02-11 Ren Liu , Xiaoqun Zhang

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

Machine Learning · Computer Science 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

User preferences for items can be inferred from either explicit feedback, such as item ratings, or implicit feedback, such as rental histories. Research in collaborative filtering has concentrated on explicit feedback, resulting in the…

Machine Learning · Computer Science 2015-03-19 Andriy Mnih , Yee Whye Teh

In the context of machine learning, disparate impact refers to a form of systematic discrimination whereby the output distribution of a model depends on the value of a sensitive attribute (e.g., race or gender). In this paper, we propose an…

Information Theory · Computer Science 2018-05-14 Hao Wang , Berk Ustun , Flavio P. Calmon

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the…

Machine Learning · Statistics 2020-03-26 Daniel LeJeune , Hamid Javadi , Richard G. Baraniuk

We study the implicit bias of the general family of steepest descent algorithms with infinitesimal learning rate in deep homogeneous neural networks. We show that: (a) an algorithm-dependent geometric margin starts increasing once the…

Machine Learning · Computer Science 2025-09-23 Nikolaos Tsilivis , Eitan Gronich , Julia Kempe , Gal Vardi

Instance segmentation has witnessed a remarkable progress on class-balanced benchmarks. However, they fail to perform as accurately in real-world scenarios, where the category distribution of objects naturally comes with a long tail.…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Jiaqi Wang , Wenwei Zhang , Yuhang Zang , Yuhang Cao , Jiangmiao Pang , Tao Gong , Kai Chen , Ziwei Liu , Chen Change Loy , Dahua Lin
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