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The dynamical and stationary properties of on-line learning from finite training sets are analysed using the cavity method. For large input dimensions, we derive equations for the macroscopic parameters, namely, the student-teacher…

Disordered Systems and Neural Networks · Physics 2009-11-07 Peixun Luo , K. Y. Michael Wong

Ensembling is among the most popular tools in machine learning (ML) due to its effectiveness in minimizing variance and thus improving generalization. Most ensembling methods for black-box base learners fall under the umbrella of "stacked…

Machine Learning · Computer Science 2025-12-17 Hilaf Hasson , Danielle C. Maddix , Yuyang Wang , Gaurav Gupta , Youngsuk Park

Most models of machine teaching and learning assume the learner makes no errors in its internal deductive inference. However, humans and large language models in few-shot learning regimes are two important examples of learners where this…

Machine Learning · Computer Science 2026-05-14 Jan Arne Telle , Brigt Håvardstun , Jose Hernandez-Orallo

We theoretically demonstrate that the generalization error of interpolators for machine learning models under teacher-student settings becomes 0 once the number of training samples exceeds a certain threshold. Understanding the high…

Machine Learning · Computer Science 2025-12-09 Naoki Yoshida , Isao Ishikawa , Masaaki Imaizumi

Ensemble methods combine the predictions of several base models. We study whether or not including more models always improves their average performance. This question depends on the kind of ensemble considered, as well as the predictive…

Machine Learning · Statistics 2026-01-01 Pierre-Alexandre Mattei , Damien Garreau

In imitation learning, imitators and demonstrators are policies for picking actions given past interactions with the environment. If we run an imitator, we probably want events to unfold similarly to the way they would have if the…

Machine Learning · Computer Science 2022-10-05 Michael K. Cohen , Marcus Hutter , Neel Nanda

In few-shot learning, classifiers are expected to generalize to unseen classes given only a small number of instances of each new class. One of the popular solutions to few-shot learning is metric-based meta-learning. However, it highly…

Machine Learning · Computer Science 2025-11-18 Qiuhao Zeng

We consider the problem of learning linear operators under squared loss between two infinite-dimensional Hilbert spaces in the online setting. We show that the class of linear operators with uniformly bounded $p$-Schatten norm is online…

Machine Learning · Statistics 2024-01-26 Vinod Raman , Unique Subedi , Ambuj Tewari

Given a random binary sequence $X^{(n)}$ of random variables, $X_{t},$ $t=1,2,...,n$, for instance, one that is generated by a Markov source (teacher) of order $k^{*}$ (each state represented by $k^{*}$ bits). Assume that the probability of…

Machine Learning · Computer Science 2011-01-04 Joel Ratsaby

We study the generalization error of statistical learning algorithms in a non-i.i.d. setting, where the training data is sampled from a stationary mixing process. We develop an analytic framework for this scenario based on a reduction to…

Machine Learning · Computer Science 2025-02-20 Baptiste Abeles , Eugenio Clerico , Gergely Neu

A widely adopted strategy for model enhancement is to use synthetic data generated by a stronger model for supervised fine-tuning (SFT). However, for emerging reasoning models like Qwen3-8B, this approach often fails to improve reasoning…

Computation and Language · Computer Science 2026-04-22 Zixian Huang , Kaichen Yang , Xu Huang , Feiyang Hao , Qiming Ge , Bowen Li , He Du , Kai Chen , Qipeng Guo

In this paper, we study the generalization properties of online learning based stochastic methods for supervised learning problems where the loss function is dependent on more than one training sample (e.g., metric learning, ranking). We…

Machine Learning · Computer Science 2013-05-14 Purushottam Kar , Bharath K Sriperumbudur , Prateek Jain , Harish C Karnick

Despite recent progress in offline learning, these methods are still trained and tested on the same environment. In this paper, we compare the generalization abilities of widely used online and offline learning methods such as online…

Machine Learning · Computer Science 2024-03-18 Ishita Mediratta , Qingfei You , Minqi Jiang , Roberta Raileanu

Knowledge distillation has widely been used for model compression and domain adaptation for speech applications. In the presence of multiple teachers, knowledge can easily be transferred to the student by averaging the models output.…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-02 Rehan Ahmad , Md Asif Jalal , Muhammad Umar Farooq , Anna Ollerenshaw , Thomas Hain

Learning performance can show non-monotonic behavior. That is, more data does not necessarily lead to better models, even on average. We propose three algorithms that take a supervised learning model and make it perform more monotone. We…

Machine Learning · Computer Science 2019-11-26 Tom J. Viering , Alexander Mey , Marco Loog

Having a sufficient quantity of quality data is a critical enabler of training effective machine learning models. Being able to effectively determine the adequacy of a dataset prior to training and evaluating a model's performance would be…

Machine Learning · Computer Science 2026-04-28 Arya Hatamian , Lionel Levine , Haniyeh Ehsani Oskouie , Majid Sarrafzadeh

This study examines whether including more contextual information in data analysis could improve our ability to identify the relation between students' online learning behavior and overall performance in an introductory physics course. We…

Physics Education · Physics 2020-07-01 Zhongzhou Chen , Mengyu Xu , Geoffrey Garrido , Matthew W. Guthrie

Background: Machine learning (ML) model composition is a popular technique to mitigate shortcomings of a single ML model and to design more effective ML-enabled systems. While ensemble learning, i.e., forwarding the same request to several…

Machine Learning · Computer Science 2024-07-04 Rafiullah Omar , Justus Bogner , Henry Muccini , Patricia Lago , Silverio Martínez-Fernández , Xavier Franch

Ensembles, as a widely used and effective technique in the machine learning community, succeed within a key element -- "diversity." The relationship between diversity and generalization, unfortunately, is not entirely understood and remains…

Machine Learning · Computer Science 2021-05-10 Yijun Bian , Huanhuan Chen

Neural networks can learn spurious correlations in the data, often leading to performance degradation for underrepresented subgroups. Studies have demonstrated that the disparity is amplified when knowledge is distilled from a complex…

Machine Learning · Computer Science 2025-11-11 Patrik Kenfack , Ulrich Aïvodji , Samira Ebrahimi Kahou