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As the application of deep neural networks proliferates in numerous areas such as medical imaging, video surveillance, and self driving cars, the need for explaining the decisions of these models has become a hot research topic, both at the…

Machine Learning · Computer Science 2021-06-01 Ronny Luss , Pin-Yu Chen , Amit Dhurandhar , Prasanna Sattigeri , Yunfeng Zhang , Karthikeyan Shanmugam , Chun-Chen Tu

Although deep models achieve high predictive performance, it is difficult for humans to understand the predictions they made. Explainability is important for real-world applications to justify their reliability. Many example-based…

Machine Learning · Statistics 2021-12-08 Tomoharu Iwata , Yuya Yoshikawa

Analysis of over-parameterized neural networks has drawn significant attention in recentyears. It was shown that such systems behave like convex systems under various restrictedsettings, such as for two-level neural networks, and when…

Machine Learning · Computer Science 2019-11-19 Cong Fang , Yihong Gu , Weizhong Zhang , Tong Zhang

Traditional nearest points methods use all the samples in an image set to construct a single convex or affine hull model for classification. However, strong artificial features and noisy data may be generated from combinations of training…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Shaokang Chen , Arnold Wiliem , Conrad Sanderson , Brian C. Lovell

Algorithmic approaches to interpreting machine learning models have proliferated in recent years. We carry out human subject tests that are the first of their kind to isolate the effect of algorithmic explanations on a key aspect of model…

Computation and Language · Computer Science 2020-05-06 Peter Hase , Mohit Bansal

We formulate a causal extension to the recently introduced paradigm of instance-wise feature selection to explain black-box visual classifiers. Our method selects a subset of input features that has the greatest causal effect on the models…

Machine Learning · Computer Science 2021-04-27 Pranoy Panda , Sai Srinivas Kancheti , Vineeth N Balasubramanian

Using elementary duality properties of positive semidefinite moment matrices and polynomial sum-of-squares decompositions, we prove that the convex hull of rationally parameterized algebraic varieties is semidefinite representable (that is,…

Optimization and Control · Mathematics 2011-01-31 Didier Henrion

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A characteristic imset (CIM) polytope is the convex hull of a…

Combinatorics · Mathematics 2024-04-30 Benjamin Hollering , Joseph Johnson , Liam Solus

Many vision-related tasks benefit from reasoning over multiple modalities to leverage complementary views of data in an attempt to learn robust embedding spaces. Most deep learning-based methods rely on a late fusion technique whereby…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Austin Reiter , Menglin Jia , Pu Yang , Ser-Nam Lim

This article describes a method to compute successive convex approximations of the convex hull of a set of points in R^n that are the solutions to a system of polynomial equations over the reals. The method relies on sums of squares of…

Optimization and Control · Mathematics 2010-07-27 João Gouveia , Rekha R. Thomas

Finding a good classifier is a multiobjective optimization problem with different error rates and the costs to be minimized. The receiver operating characteristic is widely used in the machine learning community to analyze the performance…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Jiaqi Zhao , Vitor Basto Fernandes , Licheng Jiao , Iryna Yevseyeva , Asep Maulana , Rui Li , Thomas Bäck , Michael T. M. Emmerich

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

Linear approximations to the decision boundary of a complex model have become one of the most popular tools for interpreting predictions. In this paper, we study such linear explanations produced either post-hoc by a few recent methods or…

Machine Learning · Computer Science 2018-01-31 Maruan Al-Shedivat , Avinava Dubey , Eric P. Xing

Statistical and structural modeling represent two distinct approaches to data analysis. In this paper, we propose a set of novel methods for combining statistical and structural models for improved prediction and causal inference. Our first…

Econometrics · Economics 2020-06-11 Jiaming Mao , Jingzhi Xu

Accumulated Local Effect (ALE) is a method for accurately estimating feature effects, overcoming fundamental failure modes of previously-existed methods, such as Partial Dependence Plots. However, ALE's approximation, i.e. the method for…

Machine Learning · Computer Science 2022-10-11 Vasilis Gkolemis , Theodore Dalamagas , Christos Diou

We introduce an efficient method for learning linear models from uncertain data, where uncertainty is represented as a set of possible variations in the data, leading to predictive multiplicity. Our approach leverages abstract…

Machine Learning · Computer Science 2024-05-30 Jiongli Zhu , Su Feng , Boris Glavic , Babak Salimi

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

Machine Learning · Computer Science 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

Post-hoc explanations of machine learning models are crucial for people to understand and act on algorithmic predictions. An intriguing class of explanations is through counterfactuals, hypothetical examples that show people how to obtain a…

Machine Learning · Computer Science 2019-12-09 Ramaravind Kommiya Mothilal , Amit Sharma , Chenhao Tan

The anchor words algorithm performs provably efficient topic model inference by finding an approximate convex hull in a high-dimensional word co-occurrence space. However, the existing greedy algorithm often selects poor anchor words,…

Computation and Language · Computer Science 2017-11-21 Moontae Lee , David Mimno