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For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

最优化与控制 · 数学 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

We propose Black Box Explanations through Transparent Approximations (BETA), a novel model agnostic framework for explaining the behavior of any black-box classifier by simultaneously optimizing for fidelity to the original model and…

人工智能 · 计算机科学 2017-07-06 Himabindu Lakkaraju , Ece Kamar , Rich Caruana , Jure Leskovec

The ability to interpret machine learning models has become increasingly important now that machine learning is used to inform consequential decisions. We propose an approach called model extraction for interpreting complex, blackbox…

机器学习 · 计算机科学 2018-03-14 Osbert Bastani , Carolyn Kim , Hamsa Bastani

We present a generalization of the well known Next-Closure algorithm working on semilattices. We prove the correctness of the algorithm and apply it on the computation of the intents of a formal context.

环与代数 · 数学 2012-01-19 Daniel Borchmann

We show that a straightforward rewrite of a known minimal polynomial algorithm yields a simpler version of a recent algorithm of A. Salagean.

信息论 · 计算机科学 2016-11-17 Graham H. Norton

Generalized additive models (GAMs) offer interpretability through independent univariate feature effects but underfit when interactions are present in data. GA$^2$Ms add selected pairwise interactions which improves accuracy, but sacrifices…

We consider estimation of a multivariate normal mean vector under sum of squared error loss. We propose a new class of smooth estimators parameterized by \alpha dominating the James-Stein estimator. The estimator for \alpha=1 corresponds to…

统计理论 · 数学 2010-09-14 Yuzo Maruyama

Existing works on "black-box" model interpretation use local-linear approximations to explain the predictions made for each data instance in terms of the importance assigned to the different features for arriving at the prediction. These…

机器学习 · 计算机科学 2019-08-28 Kartik Ahuja , William Zame , Mihaela van der Schaar

We revisit the classical, full-fledged Bayesian model averaging (BMA) paradigm to ensemble pre-trained and/or lightly-finetuned foundation models to enhance the classification performance on image and text data. To make BMA tractable under…

机器学习 · 计算机科学 2025-05-29 Mijung Park

This article includes a short survey of selected averaging and dimension reduction techniques for deterministic fast-slow systems. This survey includes, among others, classical techniques, such as the WKB approximation or the averaging…

数学物理 · 物理学 2022-11-21 Matthias Klar , Karsten Matthies , Johannes Zimmer

This paper investigates the connections between buildings and Hecke algebras through the combinatorial study of two algebras spanned by averaging operators on buildings. As a consequence we obtain a geometric and combinatorial description…

表示论 · 数学 2007-05-23 James Parkinson

Recently a new algorithm for sampling posteriors of unnormalised probability densities, called ABC Shadow, was proposed in [8]. This talk introduces a global optimisation procedure based on the ABC Shadow simulation dynamics. First the…

统计计算 · 统计学 2018-03-20 R. S. Stoica , M. Deaconu , L. Hurtado

A full parametric and linear specification may be insufficient to capture complicated patterns in studies exploring complex features, such as those investigating age-related changes in brain functional abilities. Alternatively, a partially…

统计方法学 · 统计学 2024-02-07 Jia Liang , Shuo Chen , Peter Kochunov , L Elliot Hong , Chixiang Chen

Attention-based architectures, in particular transformers, are at the heart of a technological revolution. Interestingly, in addition to helping obtain state-of-the-art results on a wide range of applications, the attention mechanism…

机器学习 · 统计学 2025-10-22 Gianluigi Lopardo , Frederic Precioso , Damien Garreau

We present a new abductive, probabilistic theory of plan recognition. This model differs from previous plan recognition theories in being centered around a model of plan execution: most previous methods have been based on plans as formal…

人工智能 · 计算机科学 2013-01-30 Robert P. Goldman , Christopher W. Geib , Christopher A. Miller

We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up…

量子代数 · 数学 2023-09-07 Joseph Chuang , Andrey Lazarev

Model merging, particularly through weight averaging, has shown surprising effectiveness in saving computations and improving model performance without any additional training. However, the interpretability of why and how this technique…

机器学习 · 计算机科学 2025-08-20 Hu Wang , Congbo Ma , Ibrahim Almakky , Ian Reid , Gustavo Carneiro , Mohammad Yaqub

Extensions of previous linear regression models for interval data are presented. A more flexible simple linear model is formalized. The new model may express cross-relationships between mid-points and spreads of the interval data in a…

We observe that successive applications of known results from the theory of positive systems lead to an {\it efficient general algorithm} for positive realizations of transfer functions. We give two examples to illustrate the algorithm, one…

经典分析与常微分方程 · 数学 2009-09-29 Wojciech Czaja , Philippe Jaming , Maté Matolcsi

The statistical properties of a stochastic process may be described (1)by the expectation values of the observables, (2)by the probability distribution functions or (3)by probability measures on path space. Here an analysis of level (3) is…

统计力学 · 物理学 2008-12-02 R. Vilela Mendes , R. Lima , T. Araujo