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The problem of statistical learning is to construct an accurate predictor of a random variable as a function of a correlated random variable on the basis of an i.i.d. training sample from their joint distribution. Allowable predictors are…

Information Theory · Computer Science 2009-04-30 Maxim Raginsky

We introduce a unified probabilistic framework for solving sequential decision making problems ranging from Bayesian optimisation to contextual bandits and reinforcement learning. This is accomplished by a probabilistic model-based approach…

Suppose that we observe a short time series where each time-t-specific data-structure consists of many slightly dependent data indexed by a and that we want to estimate a feature of the law of the experiment that depends neither on t nor on…

Statistics Theory · Mathematics 2021-07-29 Geoffrey Ecoto , Aurélien Bibaut , Antoine Chambaz

In this paper, based on results of exact learning and test theory, we study arbitrary infinite binary information systems each of which consists of an infinite set of elements and an infinite set of two-valued functions (attributes) defined…

Computational Complexity · Computer Science 2022-01-13 Mikhail Moshkov

In this paper, we study the response of large models from the BERT family to incoherent inputs that should confuse any model that claims to understand natural language. We define simple heuristics to construct such examples. Our experiments…

Computation and Language · Computer Science 2021-03-18 Ashim Gupta , Giorgi Kvernadze , Vivek Srikumar

We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Thomas Nowotny , Misha I. Rabinovich , Henry D. I. Abarbanel

Despite the remarkable success of large large-scale neural networks, we still lack unified notation for thinking about and describing their representational spaces. We lack methods to reliably describe how their representations are…

Machine Learning · Computer Science 2025-06-02 Henry Conklin

In this paper we derive an efficient algorithm to learn the parameters of structured predictors in general graphical models. This algorithm blends the learning and inference tasks, which results in a significant speedup over traditional…

Machine Learning · Computer Science 2013-09-02 Tamir Hazan , Alexander Schwing , David McAllester , Raquel Urtasun

Most active learning research has focused on methods which perform well when many labels are available, but can be dramatically worse than random selection when label budgets are small. Other methods have focused on the low-budget regime,…

Machine Learning · Computer Science 2025-02-28 Wonho Bae , Gabriel L. Oliveira , Danica J. Sutherland

Animals learn tasks requiring a sequence of actions over time. Waiting a given time before taking an action is a simple example. Mimicry is a complex example, e.g. in humans, humming a brief tune you have just heard. Re-experiencing a…

Neurons and Cognition · Quantitative Biology 2009-10-15 J. J. Hopfield , Carlos D. Brody

We study a special case of the problem of statistical learning without the i.i.d. assumption. Specifically, we suppose a learning method is presented with a sequence of data points, and required to make a prediction (e.g., a classification)…

Machine Learning · Computer Science 2018-05-22 Steve Hanneke , Liu Yang

Trained human pilots or operators still stand out through their efficient, robust, and versatile skills in guidance tasks such as driving agile vehicles in spatial environments or performing complex surgeries. This research studies how…

Robotics · Computer Science 2017-10-24 Abhishek Verma , Bérénice Mettler

Humans are constantly exposed to sequences of events in the environment. Those sequences frequently evince statistical regularities, such as the probabilities with which one event transitions to another. Collectively, inter-event transition…

Neurons and Cognition · Quantitative Biology 2023-09-07 Xiaohuan Xia , Andrei A. Klishin , Jennifer Stiso , Christopher W. Lynn , Ari E. Kahn , Lorenzo Caciagli , Dani S. Bassett

For biological experiments aiming at calibrating models with unknown parameters, a good experimental design is crucial, especially for those subject to various constraints, such as financial limitations, time consumption and physical…

Applications · Statistics 2014-07-22 Xiao Lin , Gabriel Terejanu

Maximizing long-term rewards is the primary goal in sequential decision-making problems. The majority of existing methods assume that side information is freely available, enabling the learning agent to observe all features' states before…

Machine Learning · Computer Science 2023-07-19 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

The problem of clustering is considered, for the case when each data point is a sample generated by a stationary ergodic process. We propose a very natural asymptotic notion of consistency, and show that simple consistent algorithms exist,…

Machine Learning · Computer Science 2013-05-01 Daniil Ryabko

The problem of clustering is considered, for the case when each data point is a sample generated by a stationary ergodic process. We propose a very natural asymptotic notion of consistency, and show that simple consistent algorithms exist,…

Machine Learning · Computer Science 2010-05-31 Daniil Ryabko

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

Extracting relevant information from data is crucial for all forms of learning. The information bottleneck (IB) method formalizes this, offering a mathematically precise and conceptually appealing framework for understanding learning…

Machine Learning · Computer Science 2021-10-27 Vudtiwat Ngampruetikorn , David J. Schwab

Pairwise interactions between individuals are taken as fundamental drivers of collective behavior responsible for group cohesion and decision-making. While an individual directly influences only a few neighbors, over time indirect…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Sulimon Sattari , Udoy S. Basak , Ryan G. James , James P. Crutchfield , Tamiki Komatsuzaki