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Several tasks in machine learning are evaluated using non-differentiable metrics such as mean average precision or Spearman correlation. However, their non-differentiability prevents from using them as objective functions in a learning…

Machine Learning · Computer Science 2019-04-10 Martin Engilberge , Louis Chevallier , Patrick Pérez , Matthieu Cord

Learning auxiliary tasks, such as multiple predictions about the world, can provide many benefits to reinforcement learning systems. A variety of off-policy learning algorithms have been developed to learn such predictions, but as yet there…

Machine Learning · Computer Science 2022-02-24 Matthew McLeod , Chunlok Lo , Matthew Schlegel , Andrew Jacobsen , Raksha Kumaraswamy , Martha White , Adam White

Prediction with the possibility of abstention (or selective prediction) is an important problem for error-critical machine learning applications. While well-studied in the classification setup, selective approaches to regression are much…

Machine Learning · Statistics 2023-09-29 Fedor Noskov , Alexander Fishkov , Maxim Panov

The choice of loss function in classification involves a fundamental trade-off: smooth losses (like Cross-Entropy) enable fast optimization rates but yield slow square-root consistency bounds, while piecewise-linear losses (like Hinge)…

Machine Learning · Computer Science 2026-05-01 Mehryar Mohri , Yutao Zhong

We consider the task of learning a classifier from the feature space $\mathcal{X}$ to the set of classes $\mathcal{Y} = \{0, 1\}$, when the features can be partitioned into class-conditionally independent feature sets $\mathcal{X}_1$ and…

Machine Learning · Computer Science 2008-09-29 Sriharsha Veeramachaneni , Ravikumar Kondadadi

In this dissertation, we focus on several important problems in structured prediction. In structured prediction, the label has a rich intrinsic substructure, and the loss varies with respect to the predicted label and the true label pair.…

Machine Learning · Computer Science 2018-09-18 Heejin Choi

A binary classifier capable of abstaining from making a label prediction has two goals in tension: minimizing errors, and avoiding abstaining unnecessarily often. In this work, we exactly characterize the best achievable tradeoff between…

Machine Learning · Computer Science 2016-11-30 Akshay Balsubramani

The method of surrogate data provides a framework for testing observed data against a hierarchy of alternative hypotheses. The aim of applying this method is to exclude the possibility that the data are consistent with simple linear…

Chaotic Dynamics · Physics 2007-05-23 Xiaodong Luo , Jie Zhang , Junfeng Sun , Michael Small , Irene Moroz

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

Multitask learning is widely used in practice to train a low-resource target task by augmenting it with multiple related source tasks. Yet, naively combining all the source tasks with a target task does not always improve the prediction…

Machine Learning · Computer Science 2023-12-29 Dongyue Li , Huy L. Nguyen , Hongyang R. Zhang

In the supervised binary classification setting, score-oriented losses have been introduced with the aim of optimizing a chosen performance metric directly during the training phase, thus avoiding \textit{a posteriori} threshold tuning. To…

Machine Learning · Computer Science 2025-12-01 Francesco Marchetti , Edoardo Legnaro , Sabrina Guastavino

The transition of the power grid requires new technologies and methodologies, which can only be developed and tested in simulations. Especially larger simulation setups with many levels of detail can become quite slow. Therefore, the number…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Stephan Balduin , Tom Westermann , Erika Puiutta

This paper establishes a connection between the fields of machine learning (ML) and philosophy concerning the phenomenon of behaving neutrally. It investigates a specific class of ML systems capable of delivering a neutral response to a…

Artificial Intelligence · Computer Science 2024-09-04 Daniela Schuster

Commonly used classification algorithms in machine learning, such as support vector machines, minimize a convex surrogate loss on training examples. In practice, these algorithms are surprisingly robust to errors in the training data. In…

Machine Learning · Computer Science 2020-12-03 Kunal Talwar

Many important computer vision tasks are naturally formulated to have a non-differentiable objective. Therefore, the standard, dominant training procedure of a neural network is not applicable since back-propagation requires the gradients…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Yash Patel

We present a new active learning framework for multiclass classification based on surrogate risk minimization that operates beyond the standard realizability assumption. Existing surrogate-based active learning algorithms crucially rely on…

Machine Learning · Computer Science 2025-06-05 Atul Ganju , Shashaank Aiyer , Ved Sriraman , Karthik Sridharan

Hypothesis testing based on surrogate data has emerged as a popular way to test the null hypothesis that a signal is a realization of a linear stochastic process. Typically, this is done by generating surrogates which are made to conform to…

Chaotic Dynamics · Physics 2010-08-12 Diego Guarin , Alvaro Orozco , Edilson Delgado

Area under ROC (AUC) is an important metric for binary classification and bipartite ranking problems. However, it is difficult to directly optimizing AUC as a learning objective, so most existing algorithms are based on optimizing a…

Machine Learning · Computer Science 2018-05-28 Siwei Lyu , Yiming Ying

A key challenge with machine learning approaches for ranking is the gap between the performance metrics of interest and the surrogate loss functions that can be optimized with gradient-based methods. This gap arises because ranking metrics…

Machine Learning · Computer Science 2021-11-30 Robin Swezey , Aditya Grover , Bruno Charron , Stefano Ermon

It has been observed that machine learning algorithms exhibit biased predictions against certain population groups. To mitigate such bias while achieving comparable accuracy, a promising approach is to introduce surrogate functions of the…

Machine Learning · Computer Science 2024-04-10 Wei Yao , Zhanke Zhou , Zhicong Li , Bo Han , Yong Liu