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While statistics focusses on hypothesis testing and on estimating (properties of) the true sampling distribution, in machine learning the performance of learning algorithms on future data is the primary issue. In this paper we bridge the…

Machine Learning · Computer Science 2009-12-30 Marcus Hutter

Learning, whether natural or artificial, is a process of selection. It starts with a set of candidate options and selects the more successful ones. In the case of machine learning the selection is done based on empirical estimates of…

Machine Learning · Computer Science 2026-01-30 Yevgeny Seldin

Akaike's information criterion (AIC) is a measure of the quality of a statistical model for a given set of data. We can determine the best statistical model for a particular data set by the minimization of the AIC. Since we need to evaluate…

Optimization and Control · Mathematics 2019-11-21 Keiji Kimura , Hayato Waki

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

Any traditional classification problem in general involves modelling individual classes and in turn classification by evaluating the similarity of the test set with the modelled classes. In this paper, we introduce another approach that…

Statistics Theory · Mathematics 2020-02-07 Snigdha Bhagat , S. D. Joshi

Deep learning classifiers are assisting humans in making decisions and hence the user's trust in these models is of paramount importance. Trust is often a function of constant behavior. From an AI model perspective it means given the same…

This paper considers the problem of approximating a density when it can be evaluated up to a normalizing constant at a limited number of points. We call this problem the Boltzmann approximation (BA) problem. The BA problem is ubiquitous in…

Methodology · Statistics 2020-10-08 Youngjun Choe , Yen-Chi Chen , Nick Terry

Information Bottlenecks (IBs) learn representations that generalize to unseen data by information compression. However, existing IBs are practically unable to guarantee generalization in real-world scenarios due to the vacuous…

Machine Learning · Computer Science 2023-05-01 Yilin Lyu , Xin Liu , Mingyang Song , Xinyue Wang , Yaxin Peng , Tieyong Zeng , Liping Jing

Learning an appropriate (dis)similarity function from the available data is a central problem in machine learning, since the success of many machine learning algorithms critically depends on the choice of a similarity function to compare…

Machine Learning · Computer Science 2013-08-30 Zheng-Chu Guo , Yiming Ying

Mixture models are becoming a popular tool for the clustering and classification of high-dimensional data. In such high dimensional applications, model selection is problematic. The Bayesian information criterion, which is popular in lower…

Methodology · Statistics 2014-06-06 Sakyajit Bhattacharya , Paul D. McNicholas

Learning invariant (causal) features for out-of-distribution (OOD) generalization has attracted extensive attention recently, and among the proposals invariant risk minimization (IRM) is a notable solution. In spite of its theoretical…

Machine Learning · Computer Science 2023-02-01 Bin Deng , Kui Jia

The model selection procedure is usually a single-criterion decision making in which we select the model that maximizes a specific metric in a specific set, such as the Validation set performance. We claim this is very naive and can perform…

Machine Learning · Computer Science 2022-07-15 Felipe Costa Farias , Teresa Bernarda Ludermir , Carmelo José Albanez Bastos-Filho

We consider the problem of inference for parameters selected to report only after some algorithm, the canonical example being inference for model parameters after a model selection procedure. The conditional correction for selection…

Methodology · Statistics 2019-01-30 Jelena Markovic , Jonathan Taylor , Jeremy Taylor

This paper studies the challenging continual learning (CL) setting of Class Incremental Learning (CIL). CIL learns a sequence of tasks consisting of disjoint sets of concepts or classes. At any time, a single model is built that can be…

Machine Learning · Computer Science 2023-06-23 Gyuhak Kim , Changnan Xiao , Tatsuya Konishi , Bing Liu

Noting the erroneous proclivity of information-theoretic approaches, like the Akaike information criterion (AIC), to select simpler models while performing model selection with a small sample size, we address the problem of new physics…

High Energy Physics - Phenomenology · Physics 2020-08-12 Srimoy Bhattacharya , Soumitra Nandi , Sunando Kumar Patra , Shantanu Sahoo

Inductive Conformal Prediction (ICP) provides a practical and effective approach for equipping deep learning models with uncertainty estimates in the form of set-valued predictions which are guaranteed to contain the ground truth with high…

Machine Learning · Computer Science 2023-12-11 Apoorva Sharma , Sushant Veer , Asher Hancock , Heng Yang , Marco Pavone , Anirudha Majumdar

Conformal Prediction (CP) is a distribution-free uncertainty estimation framework that constructs prediction sets guaranteed to contain the true answer with a user-specified probability. Intuitively, the size of the prediction set encodes a…

Machine Learning · Computer Science 2025-02-18 Alvaro H. C. Correia , Fabio Valerio Massoli , Christos Louizos , Arash Behboodi

Inverse classification is the process of perturbing an instance in a meaningful way such that it is more likely to conform to a specific class. Historical methods that address such a problem are often framed to leverage only a single…

Machine Learning · Computer Science 2017-06-13 Michael T. Lash , Qihang Lin , W. Nick Street , Jennifer G. Robinson , Jeffrey Ohlmann

Confident prediction is highly relevant in machine learning; for example, in applications such as medical diagnoses, wrong prediction can be fatal. For classification, there already exist procedures that allow to not classify data when the…

Statistics Theory · Mathematics 2015-07-28 Christophe Denis , Mohamed Hebiri

Adversarial examples resulting from instability of current computer vision models are an extremely important topic due to their potential to compromise any application. In this paper we demonstrate that instability is inevitable due to a)…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Oliver Turnbull , George Cevora