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We present a hierarchy of tractable relaxations to obtain lower bounds on the minimum value of a polynomial over a constraint set defined by polynomial equations. In contrast to previous convex relaxation techniques for this problem, our…

Optimization and Control · Mathematics 2025-07-23 Elvira Moreno , Venkat Chandrasekaran

Label smoothing is an effective regularization tool for deep neural networks (DNNs), which generates soft labels by applying a weighted average between the uniform distribution and the hard label. It is often used to reduce the overfitting…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Chang-Bin Zhang , Peng-Tao Jiang , Qibin Hou , Yunchao Wei , Qi Han , Zhen Li , Ming-Ming Cheng

Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

Data Structures and Algorithms · Computer Science 2022-06-27 Nate Veldt

Part-of-speech (POS) tagging is considered as one of the basic but necessary tools which are required for many Natural Language Processing (NLP) applications such as word sense disambiguation, information retrieval, information processing,…

Computation and Language · Computer Science 2020-01-13 Ibrahim Gashaw , H L. Shashirekha

Robots are often required to localize in environments with unknown object classes and semantic ambiguity. However, when performing global localization using semantic objects, high semantic ambiguity intensifies object misclassification and…

Robotics · Computer Science 2025-12-16 Gihyeon Lee , Jungwoo Lee , Juwon Kim , Young-Sik Shin , Younggun Cho

Label switching is a phenomenon arising in mixture model posterior inference that prevents one from meaningfully assessing posterior statistics using standard Monte Carlo procedures. This issue arises due to invariance of the posterior…

Machine Learning · Computer Science 2019-11-12 Pierre Monteiller , Sebastian Claici , Edward Chien , Farzaneh Mirzazadeh , Justin Solomon , Mikhail Yurochkin

Multi-label classification poses challenges due to imbalanced and noisy labels in training data. We propose a unified data augmentation method, named BalanceMix, to address these challenges. Our approach includes two samplers for imbalanced…

Machine Learning · Computer Science 2023-12-13 Hwanjun Song , Minseok Kim , Jae-Gil Lee

Supervised classification approaches can predict labels for unknown data because of the supervised training process. The success of classification is heavily dependent on the labeled training data. Differently, clustering is effective in…

Machine Learning · Computer Science 2015-02-19 Fangfang Li , Guandong Xu , Longbing Cao

Conic optimization has recently emerged as a powerful tool for designing tractable and guaranteed algorithms for non-convex polynomial optimization problems. On the one hand, tractability is crucial for efficiently solving large-scale…

Pseudo-Labeling is a simple and effective approach to semi-supervised learning. It requires criteria that guide the selection of pseudo-labeled data. The latter have been shown to crucially affect pseudo-labeling's generalization…

Machine Learning · Computer Science 2023-09-27 Julian Rodemann

We study an optimization problem in which the objective is given as a sum of logarithmic-polynomial functions. This formulation is motivated by statistical estimation principles such as maximum likelihood estimation, and by loss functions…

Optimization and Control · Mathematics 2026-01-07 Jiyoung Choi , Jiawang Nie , Xindong Tang , Suhan Zhong

In this work we consider a problem of multi-label classification, where each instance is associated with some binary vector. Our focus is to find a classifier which minimizes false negative discoveries under constraints. Depending on the…

Statistics Theory · Mathematics 2019-03-29 Evgenii Chzhen

Label smoothing is a widely used technique in various domains, such as text classification, image classification and speech recognition, known for effectively combating model overfitting. However, there is little fine-grained analysis on…

Computation and Language · Computer Science 2024-02-26 Yijie Gao , Shijing Si , Hua Luo , Haixia Sun , Yugui Zhang

Labeling datasets is a noteworthy challenge in machine learning, both in terms of cost and time. This research, however, leverages an efficient answer. By exploring label propagation in semi-supervised learning, we can significantly reduce…

Machine Learning · Computer Science 2024-10-16 Minoo Jafarlou , Mario M. Kubek

In this work, we present randomized compression algorithms for flat rank-structured matrices with shared bases, termed uniform Block Low-Rank (BLR) matrices. Our main contribution is a technique called tagging, which improves upon the…

Numerical Analysis · Mathematics 2025-12-16 Katherine J. Pearce , Anna Yesypenko , James Levitt , Per-Gunnar Martinsson

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

Multi-label ranking maps instances to a ranked set of predicted labels from multiple possible classes. The ranking approach for multi-label learning problems received attention for its success in multi-label classification, with one of the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Emine Dari , V. Bugra Yesilkaynak , Alican Mertan , Gozde Unal

Matching and partitioning problems are fundamentals of computer vision applications with examples in multilabel segmentation, stereo estimation and optical-flow computation. These tasks can be posed as non-convex energy minimization…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Jonas Geiping , Fjedor Gaede , Hartmut Bauermeister , Michael Moeller

Active learning allows machine learning models to be trained using fewer labels while retaining similar performance to traditional supervised learning. An active learner selects the most informative data points, requests their labels, and…

Machine Learning · Computer Science 2023-11-22 Zac Pullar-Strecker , Katharina Dost , Eibe Frank , Jörg Wicker

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

Logic in Computer Science · Computer Science 2015-03-20 Ahmed Rezine