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We analyze the generalization performance of a student in a model composed of linear perceptrons: a true teacher, ensemble teachers, and the student. Calculating the generalization error of the student analytically using statistical…

物理与社会 · 物理学 2009-11-11 Seiji Miyoshi , Masato Okada

In the framework of on-line learning, a learning machine might move around a teacher due to the differences in structures or output functions between the teacher and the learning machine or due to noises. The generalization performance of a…

物理与社会 · 物理学 2009-11-11 Seiji Miyoshi , Masato Okada

In the framework of on-line learning, a learning machine might move around a teacher due to the differences in structures or output functions between the teacher and the learning machine. In this paper we analyze the generalization…

机器学习 · 计算机科学 2009-11-11 Masahiro Urakami , Seiji Miyoshi , Masato Okada

Conventional ensemble learning combines students in the space domain. In this paper, however, we combine students in the time domain and call it time-domain ensemble learning. We analyze, compare, and discuss the generalization performances…

无序系统与神经网络 · 物理学 2015-06-25 Seiji Miyoshi , Masato Okada

Supervised online learning with an ensemble of students randomized by the choice of initial conditions is analyzed. For the case of the perceptron learning rule, asymptotically the same improvement in the generalization error of the…

无序系统与神经网络 · 物理学 2009-10-31 R. Urbanczik

We analyze the generalization performance of a student in a model composed of nonlinear perceptrons: a true teacher, ensemble teachers, and the student. We calculate the generalization error of the student analytically or numerically using…

机器学习 · 计算机科学 2009-11-13 Hideto Utsumi , Seiji Miyoshi , Masato Okada

On-line learning of a hierarchical learning model is studied by a method from statistical mechanics. In our model a student of a simple perceptron learns from not a true teacher directly, but ensemble teachers who learn from the true…

无序系统与神经网络 · 物理学 2009-11-13 Takeshi Hirama , Koji Hukushima

We propose an optimization method of mutual learning which converges into the identical state of optimum ensemble learning within the framework of on-line learning, and have analyzed its asymptotic property through the statistical mechanics…

无序系统与神经网络 · 物理学 2015-05-13 Kazuyuki Hara , Takahiro Yamada

Conventional ensemble learning combines students in the space domain. On the other hand, in this paper we combine students in the time domain and call it time domain ensemble learning. In this paper, we analyze the generalization…

统计力学 · 物理学 2009-11-11 Seiji Miyoshi , Tatsuya Uezu , Masato Okada

Within the framework of on-line learning, we study the generalization error of an ensemble learning machine learning from a linear teacher perceptron. The generalization error achieved by an ensemble of linear perceptrons having homogeneous…

无序系统与神经网络 · 物理学 2009-11-10 Kazuyuki Hara , Masato Okada

We explore the effects of over-specificity in learning algorithms by investigating the behavior of a student, suited to learn optimally from a teacher $\mathbf{B}$, learning from a teacher $\mathbf{B}'\neq\mathbf{B}$. We only considered the…

物理与社会 · 物理学 2015-05-13 Juan P. Neirotti

Neural networks are very effective when trained on large datasets for a large number of iterations. However, when they are trained on non-stationary streams of data and in an online fashion, their performance is reduced (1) by the online…

机器学习 · 计算机科学 2023-07-04 Albin Soutif--Cormerais , Antonio Carta , Joost Van de Weijer

Empirical evidence shows that ensembles, such as bagging, boosting, random and rotation forests, generally perform better in terms of their generalization error than individual classifiers. To explain this performance, Schapire et al.…

机器学习 · 统计学 2019-06-10 Waldyn Martinez , J. Brian Gray

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…

机器学习 · 计算机科学 2025-02-20 Baptiste Abeles , Eugenio Clerico , Gergely Neu

Transferring a deep neural network trained on one problem to another requires only a small amount of data and little additional computation time. The same behaviour holds for ensembles of deep learning models typically superior to a single…

机器学习 · 计算机科学 2022-06-28 Ilya Shashkov , Nikita Balabin , Evgeny Burnaev , Alexey Zaytsev

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…

机器学习 · 计算机科学 2021-05-10 Yijun Bian , Huanhuan Chen

Ensemble learning of $K$ nonlinear perceptrons, which determine their outputs by sign functions, is discussed within the framework of online learning and statistical mechanics. One purpose of statistical learning theory is to theoretically…

无序系统与神经网络 · 物理学 2009-11-10 Seiji Miyoshi , Kazuyuki Hara , Masato Okada

Ensemble learning is a process by which multiple base learners are strategically generated and combined into one composite learner. There are two features that are essential to an ensemble's performance, the individual accuracies of the…

机器学习 · 计算机科学 2021-09-30 Wenjing Li , Randy C. Paffenroth , David Berthiaume

Deep ensembles are a powerful tool in machine learning, improving both model performance and uncertainty calibration. While ensembles are typically formed by training and tuning models individually, evidence suggests that jointly tuning the…

机器学习 · 计算机科学 2025-11-10 Laurits Fredsgaard , Mikkel N. Schmidt

Understanding the generalization properties of neural networks on simple input-output distributions is key to explaining their performance on real datasets. The classical teacher-student setting, where a network is trained on data generated…

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