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We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

Class-imbalanced node classification tasks are prevalent in real-world scenarios. Due to the uneven distribution of nodes across different classes, learning high-quality node representations remains a challenging endeavor. The engineering…

Machine Learning · Computer Science 2024-05-24 Xinyu Guo , Kai Wu , Xiaoyu Zhang , Jing Liu

Federated Learning (FL) is a rising approach towards collaborative and privacy-preserving machine learning where large-scale medical datasets remain localized to each client. However, the issue of data heterogeneity among clients often…

Machine Learning · Computer Science 2024-10-01 Shuang Zeng , Pengxin Guo , Shuai Wang , Jianbo Wang , Yuyin Zhou , Liangqiong Qu

The empirical loss, commonly referred to as the average loss, is extensively utilized for training machine learning models. However, in order to address the diverse performance requirements of machine learning models, the use of the…

Optimization and Control · Mathematics 2024-01-04 Rufeng Xiao , Yuze Ge , Rujun Jiang , Yifan Yan

Coreset of a given dataset and loss function is usually a small weighed set that approximates this loss for every query from a given set of queries. Coresets have shown to be very useful in many applications. However, coresets construction…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Gilad Eini , Ben Mussay , Dan Feldman , Margarita Osadchy

Algorithms in machine learning and AI do critically depend on at least three key components: (i) the risk function, which is the expectation of the loss function, (ii) the function space, which is often called the hypothesis space, and…

Machine Learning · Statistics 2026-05-08 Lena Helgerth , Andreas Christmann

Machine learning is traditionally studied at the model level: researchers measure and improve the accuracy, robustness, bias, efficiency, and other dimensions of specific models. In practice, the societal impact of machine learning is…

Machine Learning · Computer Science 2024-04-04 Connor Toups , Rishi Bommasani , Kathleen A. Creel , Sarah H. Bana , Dan Jurafsky , Percy Liang

This paper analyzes and compares different deep learning loss functions in the framework of multi-label remote sensing (RS) image scene classification problems. We consider seven loss functions: 1) cross-entropy loss; 2) focal loss; 3)…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Hichame Yessou , Gencer Sumbul , Begüm Demir

Sequential recommendation is a popular task in academic research and close to real-world application scenarios, where the goal is to predict the next action(s) of the user based on his/her previous sequence of actions. In the training…

Information Retrieval · Computer Science 2022-04-26 Yuli Liu , Christian Walder , Lexing Xie

Virtually all machine learning tasks are characterized using some form of loss function, and "good performance" is typically stated in terms of a sufficiently small average loss, taken over the random draw of test data. While optimizing for…

Machine Learning · Statistics 2023-12-01 Matthew J. Holland , Kazuki Tanabe

The accuracy of information retrieval systems is often measured using complex loss functions such as the average precision (AP) or the normalized discounted cumulative gain (NDCG). Given a set of positive and negative samples, the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Pritish Mohapatra , Michal Rolinek , C. V. Jawahar , Vladimir Kolmogorov , M. Pawan Kumar

Neural networks are trained by minimizing a loss function that defines the discrepancy between the predicted model output and the target value. The selection of the loss function is crucial to achieve task-specific behaviour and highly…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Shakhnaz Akhmedova , Nils Körber

We present a novel method for learning a set of disentangled reward functions that sum to the original environment reward and are constrained to be independently obtainable. We define independent obtainability in terms of value functions…

Machine Learning · Computer Science 2019-03-06 Christopher Grimm , Satinder Singh

We define the supermodular rank of a function on a lattice. This is the smallest number of terms needed to decompose it into a sum of supermodular functions. The supermodular summands are defined with respect to different partial orders. We…

Combinatorics · Mathematics 2023-05-25 Rishi Sonthalia , Anna Seigal , Guido Montufar

We introduce a "learning-based" algorithm for the low-rank decomposition problem: given an $n \times d$ matrix $A$, and a parameter $k$, compute a rank-$k$ matrix $A'$ that minimizes the approximation loss $\|A-A'\|_F$. The algorithm uses a…

Machine Learning · Computer Science 2019-10-31 Piotr Indyk , Ali Vakilian , Yang Yuan

We reformulate explanation quality assessment as a ranking problem rather than a generation problem. Instead of optimizing models to produce a single "best" explanation token-by-token, we train reward models to discriminate among multiple…

Artificial Intelligence · Computer Science 2026-04-28 Thomas Bailleux , Tanmoy Mukherjee , Emmanuel Lonca , Pierre Marquis , Zied Bouraoui

Designing an effective loss function plays a crucial role in training deep recommender systems. Most existing works often leverage a predefined and fixed loss function that could lead to suboptimal recommendation quality and training…

Information Retrieval · Computer Science 2021-06-15 Xiangyu Zhao , Haochen Liu , Wenqi Fan , Hui Liu , Jiliang Tang , Chong Wang

The rank of neural networks measures information flowing across layers. It is an instance of a key structural condition that applies across broad domains of machine learning. In particular, the assumption of low-rank feature representations…

Machine Learning · Computer Science 2022-06-14 Ruili Feng , Kecheng Zheng , Yukun Huang , Deli Zhao , Michael Jordan , Zheng-Jun Zha

The top-k classification accuracy is one of the core metrics in machine learning. Here, k is conventionally a positive integer, such as 1 or 5, leading to top-1 or top-5 training objectives. In this work, we relax this assumption and…

Machine Learning · Computer Science 2022-06-16 Felix Petersen , Hilde Kuehne , Christian Borgelt , Oliver Deussen

We study the arity gap of functions of several variables defined on an arbitrary set A and valued in another set B. The arity gap of such a function is the minimum decrease in the number of essential variables when variables are identified.…

Combinatorics · Mathematics 2016-11-22 Miguel Couceiro , Erkko Lehtonen , Tamás Waldhauser