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Higher-order tensors arise frequently in applications such as neuroimaging, recommendation system, social network analysis, and psychological studies. We consider the problem of low-rank tensor estimation from possibly incomplete,…

Machine Learning · Statistics 2020-12-15 Chanwoo Lee , Miaoyan Wang

We propose a novel method for inferring refinement types of higher-order functional programs. The main advantage of the proposed method is that it can infer maximally preferred (i.e., Pareto optimal) refinement types with respect to a…

Programming Languages · Computer Science 2015-05-19 Kodai Hashimoto , Hiroshi Unno

The goal of Ordinal Regression is to find a rule that ranks items from a given set. Several learning algorithms to solve this prediction problem build an ensemble of binary classifiers. Ranking by Projecting uses interdependent binary…

Machine Learning · Computer Science 2019-11-27 Ruy Luiz Milidiú , Rafael Henrique Santos Rocha

We introduce a new algorithm, Regression based Supervised Learning (RSL), for learning per instance Neural Network (NN) defined heuristic functions for classical planning problems. RSL uses regression to select relevant sets of states at a…

Artificial Intelligence · Computer Science 2022-07-08 Stefan O'Toole , Miquel Ramirez , Nir Lipovetzky , Adrian R. Pearce

Wildfires are highly imbalanced natural hazards in both space and severity, making the prediction of extreme events particularly challenging. In this work, we introduce the first ordinal classification framework for forecasting wildfire…

Machine Learning · Computer Science 2026-05-26 Nicolas Caron , Christophe Guyeux , Hassan Noura , Benjamin Aynes

Model order estimation (MOE) is often a pre-requisite for Direction of Arrival (DoA) estimation. Due to limits imposed by array geometry, it is typically not possible to estimate spatial parameters for an arbitrary number of sources; an…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Jianyuan Yu , William W. Howard , Yue Xu , R. Michael Buehrer

We present an algorithm for supervised learning using tensor networks, employing a step of preprocessing the data by coarse-graining through a sequence of wavelet transformations. We represent these transformations as a set of tensor…

Machine Learning · Statistics 2020-01-24 Justin Reyes , Miles Stoudenmire

Semi-supervised ordinal regression (S$^2$OR) problems are ubiquitous in real-world applications, where only a few ordered instances are labeled and massive instances remain unlabeled. Recent researches have shown that directly optimizing…

Machine Learning · Computer Science 2019-12-25 Wanli Shi , Bin Gu , Xinag Li , Heng Huang

Ordinal regression aims to classify instances into ordinal categories. In this paper, body mass index (BMI) category estimation from facial images is cast as an ordinal regression problem. In particular, noisy binary search algorithms based…

Computer Vision and Pattern Recognition · Computer Science 2018-11-09 Luisa Polania , Dongning Wang , Glenn Fung

This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a small number of computationally inexpensive `error indicators'…

Numerical Analysis · Computer Science 2015-04-16 Martin Drohmann , Kevin Carlberg

This paper introduces a novel framework for Archetypal Analysis (AA) tailored to ordinal data, particularly from questionnaires. Unlike existing methods, the proposed method, Ordinal Archetypal Analysis (OAA), bypasses the two-step process…

We propose SEARNN, a novel training algorithm for recurrent neural networks (RNNs) inspired by the "learning to search" (L2S) approach to structured prediction. RNNs have been widely successful in structured prediction applications such as…

Machine Learning · Computer Science 2018-03-06 Rémi Leblond , Jean-Baptiste Alayrac , Anton Osokin , Simon Lacoste-Julien

Translation-based embedding models have gained significant attention in link prediction tasks for knowledge graphs. TransE is the primary model among translation-based embeddings and is well-known for its low complexity and high efficiency.…

Computation and Language · Computer Science 2019-07-12 Mojtaba Nayyeri , Xiaotian Zhou , Sahar Vahdati , Hamed Shariat Yazdi , Jens Lehmann

We design a new iterative algorithm, called REINFORCE-OPT, for solving a general type of optimization problems. This algorithm parameterizes the solution search rule and iteratively updates the parameter using a reinforcement learning (RL)…

Optimization and Control · Mathematics 2025-01-27 Chen Xu , Yun-Bin Zhao , Zhipeng Lu , Ye Zhang

This work invokes the notion of $f$-divergence to introduce a novel upper bound on the Bayes error rate of a general classification task. We show that the proposed bound can be computed by sampling from the output of a parameterized model.…

Machine Learning · Computer Science 2025-01-15 Mohammadreza Tavasoli Naeini , Ali Bereyhi , Morteza Noshad , Ben Liang , Alfred O. Hero

Most of previous machine learning algorithms are proposed based on the i.i.d. hypothesis. However, this ideal assumption is often violated in real applications, where selection bias may arise between training and testing process. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Zheyan Shen , Peng Cui , Kun Kuang , Bo Li , Peixuan Chen

Recurrent neural networks are good at solving prediction problems. However, finding a network that suits a problem is quite hard because their performance is strongly affected by their architecture configuration. Automatic architecture…

Neural and Evolutionary Computing · Computer Science 2021-03-16 Andrés Camero , Jamal Toutouh , Enrique Alba

We consider a popular family of constrained optimization problems arising in machine learning that involve optimizing a non-decomposable evaluation metric with a certain thresholded form, while constraining another metric of interest.…

Machine Learning · Computer Science 2021-07-30 Abhishek Kumar , Harikrishna Narasimhan , Andrew Cotter

We derive several numerical methods for designing optimized first-order algorithms in unconstrained convex optimization settings. Our methods are based on the Performance Estimation Problem (PEP) framework, which casts the worst-case…

Optimization and Control · Mathematics 2025-07-29 Yassine Kamri , Julien M. Hendrickx , François Glineur

Training classifiers is difficult with severe class imbalance, but many rare events are the culmination of a sequence with much more common intermediate outcomes. For example, in online marketing a user first sees an ad, then may click on…

Methodology · Statistics 2023-05-31 Gregory Faletto , Jacob Bien
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