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Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

We introduce an ambidextrous view of stochastic dynamical systems, comparing their forward-time and reverse-time representations and then integrating them into a single time-symmetric representation. The perspective is useful theoretically,…

Statistical Mechanics · Physics 2015-05-13 Christopher J. Ellison , John R. Mahoney , James P. Crutchfield

Scientific inference involves obtaining the unknown properties or behavior of a system in the light of what is known, typically, without changing the system. Here we propose an alternative to this approach: a system can be modified in a…

Statistical Mechanics · Physics 2019-03-11 Nathaniel Rupprecht , Dervis Vural

When does a machine learning model predict the future of individuals and when does it recite patterns that predate the individuals? In this work, we propose a distinction between these two pathways of prediction, supported by theoretical,…

Machine Learning · Computer Science 2024-03-12 Moritz Hardt , Michael P. Kim

In statistical inference, retrodiction is the act of inferring potential causes in the past based on knowledge of the effects in the present and the dynamics leading to the present. Retrodiction is applicable even when the dynamics is not…

Category Theory · Mathematics 2024-02-01 Arthur J. Parzygnat

Predictive statistical mechanics is a form of inference from available data, without additional assumptions, for predicting reproducible phenomena. By applying it to systems with Hamiltonian dynamics, a problem of predicting the macroscopic…

Statistical Mechanics · Physics 2015-09-22 Domagoj Kuic

We study dynamical reversibility in stationary stochastic processes from an information theoretic perspective. Extending earlier work on the reversibility of Markov chains, we focus on finitary processes with arbitrarily long conditional…

Statistical Mechanics · Physics 2015-05-28 Christopher J. Ellison , John R. Mahoney , Ryan G. James , James P. Crutchfield , Joerg Reichardt

We show why the amount of information communicated between the past and future--the excess entropy--is not in general the amount of information stored in the present--the statistical complexity. This is a puzzle, and a long-standing one,…

Statistical Mechanics · Physics 2013-05-29 James P. Crutchfield , Christopher J. Ellison , John R. Mahoney

Despite its great success, machine learning can have its limits when dealing with insufficient training data. A potential solution is the additional integration of prior knowledge into the training process which leads to the notion of…

In all but special circumstances, measurements of time-dependent processes reflect internal structures and correlations only indirectly. Building predictive models of such hidden information sources requires discovering, in some way, the…

Probability · Mathematics 2009-11-10 Nihat Ay , James P. Crutchfield

Markov chains are a natural and well understood tool for describing one-dimensional patterns in time or space. We show how to infer $k$-th order Markov chains, for arbitrary $k$, from finite data by applying Bayesian methods to both…

Statistics Theory · Mathematics 2009-11-13 Christopher C. Strelioff , James P. Crutchfield , Alfred W. Hubler

Informed machine learning methods allow the integration of prior knowledge into learning systems. This can increase accuracy and robustness or reduce data needs. However, existing methods often assume hard constraining knowledge, that does…

Machine Learning · Computer Science 2024-10-10 Christian Schlauch , Nadja Klein , Christian Wirth

Predictive business process monitoring refers to the act of making predictions about the future state of ongoing cases of a business process, based on their incomplete execution traces and logs of historical (completed) traces. Motivated by…

Artificial Intelligence · Computer Science 2018-10-24 Irene Teinemaa , Marlon Dumas , Marcello La Rosa , Fabrizio Maria Maggi

We propose an abductive diagnosis theory that integrates probabilistic, causal and taxonomic knowledge. Probabilistic knowledge allows us to select the most likely explanation; causal knowledge allows us to make reasonable independence…

Artificial Intelligence · Computer Science 2013-04-05 Dekang Lin , Randy Goebel

Bankruptcy prediction is an important research area that heavily relies on data science. It aims to help investors, managers, and regulators better understand the operational status of corporations and predict potential financial risks in…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Xinlin Wang , Zsófia Kräussl , Mats Brorsson

This paper shows that the common method used for making predictions under uncertainty in A1 and science is in error. This method is to use currently available data to select the best model from a given class of models-this process is called…

Artificial Intelligence · Computer Science 2013-04-11 Matthew Self , Peter Cheeseman

In biological systems, the capacity of anticipation--that is, entertaining a model of the system within the system--can be considered as naturally given. Human languages enable psychological systems to construct and exchange mental models…

Physics and Society · Physics 2009-11-19 Loet Leydesdorff

Biomolecular communication demands that interactions between parts of a molecular system act as scaffolds for message transmission. It also requires an evolving and organized system of signs - a communicative agency - for creating and…

Biomolecules · Quantitative Biology 2023-09-04 Gustavo Caetano-Anollés

A desirable property of learning systems is to be both effective and interpretable. Towards this goal, recent models have been proposed that first generate an extractive explanation from the input text and then generate a prediction on just…

Computation and Language · Computer Science 2021-02-05 Zijian Zhang , Koustav Rudra , Avishek Anand

Multivariate time-series data are used in many classification and regression predictive tasks, and recurrent models have been widely used for such tasks. Most common recurrent models assume that time-series data elements are of equal length…

Machine Learning · Computer Science 2020-09-21 Mehak Gupta , Rahmatollah Beheshti
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