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Many recent applications in machine learning and data fitting call for the algorithmic solution of structured smooth convex optimization problems. Although the gradient descent method is a natural choice for this task, it requires exact…

Optimization and Control · Mathematics 2013-09-03 Anthony Man-Cho So

Improving generalization and achieving highly predictive, robust machine learning models necessitates learning the underlying causal structure of the variables of interest. A prominent and effective method for this is learning invariant…

Machine Learning · Computer Science 2024-11-12 Jawad Chowdhury , Gabriel Terejanu

We study the problem of attributing the prediction of a deep network to its input features, a problem previously studied by several other works. We identify two fundamental axioms---Sensitivity and Implementation Invariance that attribution…

Machine Learning · Computer Science 2017-06-14 Mukund Sundararajan , Ankur Taly , Qiqi Yan

While machine learning methods have significantly improved model performance over traditional methods, their black-box structure makes it difficult for researchers to interpret results. For highly regulated financial industries, model…

Machine Learning · Computer Science 2024-07-30 Dangxing Chen , Weicheng Ye

This paper is a broad and accessible survey of the methods we have at our disposal for Monte Carlo gradient estimation in machine learning and across the statistical sciences: the problem of computing the gradient of an expectation of a…

Machine Learning · Statistics 2020-09-30 Shakir Mohamed , Mihaela Rosca , Michael Figurnov , Andriy Mnih

Solving a polynomial system, or computing an associated Gr\"obner basis, has been a fundamental task in computational algebra. However, it is also known for its notorious doubly exponential time complexity in the number of variables in the…

Commutative Algebra · Mathematics 2024-11-07 Hiroshi Kera , Yuki Ishihara , Yuta Kambe , Tristan Vaccon , Kazuhiro Yokoyama

We develop a new approach to learn the parameters of regression models with hidden variables. In a nutshell, we estimate the gradient of the regression function at a set of random points, and cluster the estimated gradients. The centers of…

Machine Learning · Statistics 2018-01-18 Stratis Ioannidis , Andrea Montanari

Implicit models, which allow for the generation of samples but not for point-wise evaluation of probabilities, are omnipresent in real-world problems tackled by machine learning and a hot topic of current research. Some examples include…

Machine Learning · Statistics 2018-04-27 Yingzhen Li , Richard E. Turner

Imbalanced data sets containing much more background than signal instances are very common in particle physics, and will also be characteristic for the upcoming analyses of LHC data. Following up the work presented at ACAT 2008, we use the…

Data Analysis, Statistics and Probability · Physics 2011-08-11 Markward Britsch , Nikolai Gagunashvili , Michael Schmelling

Continual learning has received a great deal of attention recently with several approaches being proposed. However, evaluations involve a diverse set of scenarios making meaningful comparison difficult. This work provides a systematic…

Machine Learning · Computer Science 2019-01-24 Yen-Chang Hsu , Yen-Cheng Liu , Anita Ramasamy , Zsolt Kira

Gradient descent is the method of choice for training large artificial intelligence systems. As these systems become larger, a better understanding of the mechanisms behind gradient training would allow us to alleviate compute costs and…

Machine Learning · Computer Science 2025-01-07 Ambroise Odonnat , Wassim Bouaziz , Vivien Cabannes

Most measurements in particle and nuclear physics use matrix-based unfolding algorithms to correct for detector effects. In nearly all cases, the observable is defined analogously at the particle and detector level. We point out that while…

High Energy Physics - Experiment · Physics 2022-07-08 Miguel Arratia , Daniel Britzger , Owen Long , Benjamin Nachman

The packing problem, also known as cutting or nesting, has diverse applications in logistics, manufacturing, layout design, and atlas generation. It involves arranging irregularly shaped pieces to minimize waste while avoiding overlap.…

Machine Learning · Computer Science 2023-11-01 Tianyang Xue , Mingdong Wu , Lin Lu , Haoxuan Wang , Hao Dong , Baoquan Chen

This paper proposes a gradient descent based optimization method that relies on automatic differentiation for the computation of gradients. The method uses tools and techniques originally developed in the field of artificial neural networks…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Georg Kordowich , Johann Jaeger

Gradient Boosting Machines (GBM) are among the go-to algorithms on tabular data, which produce state of the art results in many prediction tasks. Despite its popularity, the GBM framework suffers from a fundamental flaw in its base…

Machine Learning · Computer Science 2021-09-14 Afek Ilay Adler , Amichai Painsky

Very often features come with their own vectorial descriptions which provide detailed information about their properties. We refer to these vectorial descriptions as feature side-information. In the standard learning scenario, input is…

Machine Learning · Computer Science 2017-03-09 Amina Mollaysa , Pablo Strasser , Alexandros Kalousis

Based on the notion of information bottleneck (IB), we formulate a quantization problem called "IB quantization". We show that IB quantization is equivalent to learning based on the IB principle. Under this equivalence, the standard neural…

Machine Learning · Computer Science 2019-02-13 Hongyu Guo , Yongyi Mao , Ali Al-Bashabsheh , Richong Zhang

Uncertainty quantification for image data is dominated by complex deep learning methods, yet the field lacks an interpretable, mathematically grounded baseline. We propose Bayesian scattering to fill this gap, serving as a first-step…

Machine Learning · Computer Science 2026-03-24 Bernardo Fichera , Zarko Ivkovic , Kjell Jorner , Philipp Hennig , Viacheslav Borovitskiy

Incremental learning is useful if an AI agent needs to integrate data from a stream. The problem is non trivial if the agent runs on a limited computational budget and has a bounded memory of past data. In a deep learning approach, the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Eden Belouadah , Adrian Popescu

In this study, we introduce a new approach to combine multi-classifiers in an ensemble system. Instead of using numeric membership values encountered in fixed combining rules, we construct interval membership values associated with each…

Machine Learning · Computer Science 2017-03-17 Tien Thanh Nguyen , Xuan Cuong Pham , Alan Wee-Chung Liew , Witold Pedrycz