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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…

Disordered Systems and Neural Networks · Physics 2016-12-15 Takashi Shinzato , Yoshiyuki Kabashima

In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source distribution. We introduce a flexible framework for transfer…

Machine Learning · Statistics 2021-09-03 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

In scalable machine learning systems, model training is often parallelized over multiple nodes that run without tight synchronization. Most analysis results for the related asynchronous algorithms use an upper bound on the information…

Machine Learning · Computer Science 2022-04-12 Xuyang Wu , Sindri Magnusson , Hamid Reza Feyzmahdavian , Mikael Johansson

We study the problem of learning the transition matrices of a set of Markov chains from a single stream of observations on each chain. We assume that the Markov chains are ergodic but otherwise unknown. The learner can sample Markov chains…

Machine Learning · Computer Science 2019-11-14 Mohammad Sadegh Talebi , Odalric-Ambrym Maillard

Traditional models of active learning assume a learner can directly manipulate or query a covariate $X$ in order to study its relationship with a response $Y$. However, if $X$ is a feature of a complex system, it may be possible only to…

Statistics Theory · Mathematics 2023-01-24 Shashank Singh

In the robotics literature, different knowledge transfer approaches have been proposed to leverage the experience from a source task or robot -- real or virtual -- to accelerate the learning process on a new task or robot. A commonly made…

Robotics · Computer Science 2020-03-31 Michael J. Sorocky , Siqi Zhou , Angela P. Schoellig

A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In mathematical models, tipping can be caused by bifurcations,…

Dynamical Systems · Mathematics 2018-03-14 Alanna Hoyer-Leitzel , Alice Nadeau , Andrew Roberts , Andrew Steyer

The promise of learning to learn for robotics rests on the hope that by extracting some information about the learning process itself we can speed up subsequent similar learning tasks. Here, we introduce a computationally efficient online…

Machine Learning · Computer Science 2018-03-28 Franziska Meier , Daniel Kappler , Stefan Schaal

For a given distribution, learning algorithm, and performance metric, the rate of convergence (or data-scaling law) is the asymptotic behavior of the algorithm's test performance as a function of number of train samples. Many learning…

Machine Learning · Computer Science 2021-11-10 Preetum Nakkiran

Deep learning systems have been reported to acheive state-of-the-art performances in many applications, and one of the keys for achieving this is the existence of well trained classifiers on benchmark datasets which can be used as backbone…

Machine Learning · Computer Science 2022-10-04 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao

A key challenge to understanding self-awareness has been a principled way of quantifying whether an intelligent system has a concept of a "self", and if so how to differentiate the "self" from other cognitive structures. We propose that the…

Robotics · Computer Science 2026-04-27 Adidev Jhunjhunwala , Judah Goldfeder , Hod Lipson

We consider the problem of learning the dynamics of autonomous linear systems (i.e., systems that are not affected by external control inputs) from observations of multiple trajectories of those systems, with finite sample guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Lei Xin , George Chiu , Shreyas Sundaram

Learning rate decay (lrDecay) is a \emph{de facto} technique for training modern neural networks. It starts with a large learning rate and then decays it multiple times. It is empirically observed to help both optimization and…

Machine Learning · Computer Science 2019-09-27 Kaichao You , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Imitation Learning is a sequential task where the learner tries to mimic an expert's action in order to achieve the best performance. Several algorithms have been proposed recently for this task. In this project, we aim at proposing a wide…

Machine Learning · Statistics 2018-01-22 Alexandre Attia , Sharone Dayan

Reinforcement learning algorithms typically rely on the assumption that the environment dynamics and value function can be expressed in terms of a Markovian state representation. However, when state information is only partially observable,…

Learning is a fundamental characteristic of living systems, enabling them to comprehend their environments and make informed decisions. These decision-making processes are inherently influenced by available information about their…

Disordered Systems and Neural Networks · Physics 2025-04-21 Arnab Barua , Haralampos Hatzikirou , Sumiyoshi Abe

Learning curves are a fundamental primitive in supervised learning, describing how an algorithm's performance improves with more data and providing a quantitative measure of its generalization ability. Formally, a learning curve plots the…

Machine Learning · Computer Science 2026-04-30 Steve Hanneke , Alkis Kalavasis , Shay Moran , Grigoris Velegkas

A basic condition for efficient transfer learning is the similarity between a target model and source models. In practice, however, the similarity condition is difficult to meet or is even violated. Instead of the similarity condition, a…

Machine Learning · Statistics 2022-06-14 Lu Lin , Weiyu Li

By extending the extreme learning machine by additional control inputs, we achieved almost complete reproduction of bifurcation structures of dynamical systems. The learning ability of the proposed neural network system is striking in that…

Chaotic Dynamics · Physics 2024-10-21 Satoru Tadokoro , Akihiro Yamaguchi , Takao Namiki , Ichiro Tsuda

This paper proposes basic definitions of similarity and similarity indexes between heterogeneous linear systems and presents a similarity-based learning control strategy. By exploring geometric properties of admissible behaviors of linear…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Chenchao Wang , Deyuan Meng
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