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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

We study the generalization ability of a simple perceptron which learns unlearnable rules. The rules are presented by a teacher perceptron with a non-monotonic transfer function. The student is trained in the on-line mode. The asymptotic…

凝聚态物理 · 物理学 2009-10-30 Jun-ichi Inoue , Hidetoshi Nishimori , Yoshiyuki Kabashima

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

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

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

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

In ensemble teacher learning, ensemble teachers have only uncertain information about the true teacher, and this information is given by an ensemble consisting of an infinite number of ensemble teachers whose variety is sufficiently rich.…

无序系统与神经网络 · 物理学 2016-08-24 Kazuyuki Hara , Seiji Miyoshi

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 investigate the generalization ability of a simple perceptron trained in the off-line and on-line supervised modes. Examples are extracted from the teacher who is a non-monotonic perceptron. For this system, difficulties of training can…

无序系统与神经网络 · 物理学 2008-02-03 Jun-ichi Inoue , Hidetoshi Nishimori , Yoshiyuki Kabashima

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 study supervised learning and generalisation in coupled perceptrons trained on-line using two learning scenarios. In the first scenario the teacher and the student are independent networks and both are represented by an Ashkin-Teller…

无序系统与神经网络 · 物理学 2009-11-07 D. Bolle' , P. Kozlowski

We study the on-line AdaTron learning of linearly non-separable rules by a simple perceptron. Training examples are provided by a perceptron with a non-monotonic transfer function which reduces to the usual monotonic relation in a certain…

凝聚态物理 · 物理学 2009-10-30 Jun-ichi Inoue , Hidetoshi Nishimori

We have analyzed the generalization performance of a student which slowly switches ensemble teachers. By calculating the generalization error analytically using statistical mechanics in the framework of on-line learning, we show that the…

物理与社会 · 物理学 2009-02-05 Seiji Miyoshi , Masato Okada

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

On-line learning of a rule given by an N-dimensional Ising perceptron, is considered for the case when the student is constrained to take values in a discrete state space of size $L^N$. For L=2 no on-line algorithm can achieve a finite…

凝聚态物理 · 物理学 2007-05-23 W. Kinzel , R. Urbanczik

Learning behavior of simple perceptrons is analyzed for a teacher-student scenario in which output labels are provided by a teacher network for a set of possibly correlated input patterns, and such that teacher and student networks are of…

无序系统与神经网络 · 物理学 2016-12-15 Takashi Shinzato , Yoshiyuki Kabashima

Attaining prototypical features to represent class distributions is well established in representation learning. However, learning prototypes online from streaming data proves a challenging endeavor as they rapidly become outdated, caused…

计算机视觉与模式识别 · 计算机科学 2021-10-20 Matthias De Lange , Tinne Tuytelaars

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

In this paper we propose a model to study the appropriation of knowledge of one student in a non-collaborative online class. We formulate a stochastic model based on the quality of the teacher's class and the affinity of the student to…

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