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The problem of inferring an inductive invariant for verifying program safety can be formulated in terms of binary classification. This is a standard problem in machine learning: given a sample of good and bad points, one is asked to find a…

Programming Languages · Computer Science 2015-01-21 Siddharth Krishna , Christian Puhrsch , Thomas Wies

Obtaining accurate and well calibrated probability estimates from classifiers is useful in many applications, for example, when minimising the expected cost of classifications. Existing methods of calibrating probability estimates are…

Machine Learning · Computer Science 2018-09-17 Tim Leathart , Eibe Frank , Geoffrey Holmes , Bernhard Pfahringer

In several applications of automatic diagnosis and active learning a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the…

Data Structures and Algorithms · Computer Science 2014-07-29 Ferdinando Cicalese , Eduardo Laber , Aline Medeiros Saettler

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

Econometrics · Economics 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

Financial fraud is the cause of multi-billion dollar losses annually. Traditionally, fraud detection systems rely on rules due to their transparency and interpretability, key features in domains where decisions need to be explained.…

Machine Learning · Computer Science 2024-08-26 João Lucas Martins , João Bravo , Ana Sofia Gomes , Carlos Soares , Pedro Bizarro

This paper proposes a new algorithm for learning accurate tree-based models while ensuring the existence of recourse actions. Algorithmic Recourse (AR) aims to provide a recourse action for altering the undesired prediction result given by…

Machine Learning · Computer Science 2024-06-04 Kentaro Kanamori , Takuya Takagi , Ken Kobayashi , Yuichi Ike

Large language models achieve strong reasoning performance, yet existing decoding strategies either explore blindly (random sampling) or redundantly (independent multi-sampling). We propose Entropy-Tree, a tree-based decoding method that…

Computation and Language · Computer Science 2026-01-23 Longxuan Wei , Yubo Zhang , Zijiao Zhang , Zhihu Wang , Shiwan Zhao , Tianyu Huang , Huiting Zhao , Chenfei Liu , Shenao Zhang , Junchi Yan

In decision problems, often, utilities and probabilities are hard to determine. In such cases, one can resort to so-called choice functions. They provide a means to determine which options in a particular set are optimal, and allow…

Statistics Theory · Mathematics 2018-08-10 Nathan Huntley , Matthias C. M. Troffaes

Despite the latest prevailing success of deep neural networks (DNNs), several concerns have been raised against their usage, including the lack of intepretability the gap between DNNs and other well-established machine learning models, and…

Machine Learning · Computer Science 2021-01-01 Jianghao Shen , Sicheng Wang , Zhangyang Wang

Classification algorithms face difficulties when one or more classes have limited training data. We are particularly interested in classification trees, due to their interpretability and flexibility. When data are limited in one or more of…

Methodology · Statistics 2021-06-15 Yichen Zhu , Cheng Li , David B. Dunson

For large, real-world inductive learning problems, the number of training examples often must be limited due to the costs associated with procuring, preparing, and storing the training examples and/or the computational costs associated with…

Artificial Intelligence · Computer Science 2011-06-24 F. Provost , G. M. Weiss

This paper introduces ICET, a new algorithm for cost-sensitive classification. ICET uses a genetic algorithm to evolve a population of biases for a decision tree induction algorithm. The fitness function of the genetic algorithm is the…

Artificial Intelligence · Computer Science 2009-09-25 P. D. Turney

In the decision tree computation model for Boolean functions, the depth corresponds to query complexity, and size corresponds to storage space. The depth measure is the most well-studied one, and is known to be polynomially related to…

Computational Complexity · Computer Science 2022-09-27 Yogesh Dahiya , Meena Mahajan

We propose new methods for Support Vector Machines (SVMs) using tree architecture for multi-class classi- fication. In each node of the tree, we select an appropriate binary classifier using entropy and generalization error estimation, then…

Machine Learning · Computer Science 2017-08-29 Pittipol Kantavat , Boonserm Kijsirikul , Patoomsiri Songsiri , Ken-ichi Fukui , Masayuki Numao

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

The lack of interpretability remains a key barrier to the adoption of deep models in many applications. In this work, we explicitly regularize deep models so human users might step through the process behind their predictions in little…

Machine Learning · Statistics 2017-11-17 Mike Wu , Michael C. Hughes , Sonali Parbhoo , Maurizio Zazzi , Volker Roth , Finale Doshi-Velez

Classification is widely used technique in the data mining domain, where scalability and efficiency are the immediate problems in classification algorithms for large databases. We suggest improvements to the existing C4.5 decision tree…

Machine Learning · Computer Science 2013-02-12 Mohd Mahmood Ali , Mohd S Qaseem , Lakshmi Rajamani , A Govardhan

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

Using Machine Learning systems in the real world can often be problematic, with inexplicable black-box models, the assumed certainty of imperfect measurements, or providing a single classification instead of a probability distribution. This…

Machine Learning · Computer Science 2023-07-11 Jonathan S. Kent , David H. Menager
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