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In this paper, we propose the Lipschitz margin ratio and a new metric learning framework for classification through maximizing the ratio. This framework enables the integration of both the inter-class margin and the intra-class dispersion,…

Machine Learning · Computer Science 2018-02-13 Mingzhi Dong , Xiaochen Yang , Yang Wu , Jing-Hao Xue

Lossy compression algorithms take advantage of the inherent limitations of the human eye and discard information that cannot be seen. In the present paper, a technique termed as Lossy Data Compression using Logarithm (LDCL) is proposed to…

Information Theory · Computer Science 2016-04-08 Vivek Kumar , Srijita Barthwal , Rishabh Kishore , Ruchika Saklani , Anuj Sharma , Sandeep Sharma

Cross-entropy loss together with softmax is arguably one of the most common used supervision components in convolutional neural networks (CNNs). Despite its simplicity, popularity and excellent performance, the component does not explicitly…

Machine Learning · Statistics 2017-11-21 Weiyang Liu , Yandong Wen , Zhiding Yu , Meng Yang

A fundamental requirement for intelligent systems is the ability to learn continuously under changing environments. However, models trained in this regime often suffer from catastrophic forgetting. Leveraging pre-trained models has recently…

Artificial Intelligence · Computer Science 2026-03-12 Tung Tran , Danilo Vasconcellos Vargas , Khoat Than

The logcosh loss function for neural networks has been developed to combine the advantage of the absolute error loss function of not overweighting outliers with the advantage of the mean square error of continuous derivative near the mean,…

Machine Learning · Computer Science 2021-01-27 Thilo Moshagen , Nihal Acharya Adde , Ajay Navilarekal Rajgopal

We address the problem of minimizing a smooth function $f^0(x)$ over a compact set $D$ defined by smooth functional constraints $f^i(x)\leq 0,~ i = 1,\ldots, m$ given noisy value measurements of $f^i(x)$. This problem arises in…

Optimization and Control · Mathematics 2019-12-20 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour

The combinatorial optimization problem is one of the important applications in neural network computation. The solutions of linearly constrained continuous optimization problems are difficult with an exact algorithm, but the algorithm for…

Numerical Analysis · Computer Science 2009-12-22 A. K. Ojha , C. Mallick , D. Mallick

Loss functions are error metrics that quantify the difference between a prediction and its corresponding ground truth. Fundamentally, they define a functional landscape for traversal by gradient descent. Although numerous loss functions…

Image and Video Processing · Electrical Eng. & Systems 2021-04-09 Chaitanya Kaul , Nick Pears , Hang Dai , Roderick Murray-Smith , Suresh Manandhar

Recent segmentation methods, such as OCR and CPNet, utilizing "class level" information in addition to pixel features, have achieved notable success for boosting the accuracy of existing network modules. However, the extracted class-level…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Ye Huang , Di Kang , Liang Chen , Xuefei Zhe , Wenjing Jia , Xiangjian He , Linchao Bao

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

Multi-label classification (MLC) studies the problem where each instance is associated with multiple relevant labels, which leads to the exponential growth of output space. MLC encourages a popular framework named label compression (LC) for…

Machine Learning · Computer Science 2020-09-21 Jiaqi Lv , Tianran Wu , Chenglun Peng , Yunpeng Liu , Ning Xu , Xin Geng

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

Deep convolutional neural networks (CNN) have proven to be remarkably effective in semantic segmentation tasks. Most popular loss functions were introduced targeting improved volumetric scores, such as the Dice coefficient (DSC). By design,…

Control Barrier Functions (CBFs) provide an elegant framework for constraining nonlinear control system dynamics to remain within an invariant subset of a designated safe set. However, identifying a CBF that balances performance-by…

Machine Learning · Computer Science 2024-11-05 Lakshmideepakreddy Manda , Shaoru Chen , Mahyar Fazlyab

We present the Local Self-Balancing sampler (LSB), a local Markov Chain Monte Carlo (MCMC) method for sampling in purely discrete domains, which is able to autonomously adapt to the target distribution and to reduce the number of target…

Artificial Intelligence · Computer Science 2022-07-06 Emanuele Sansone

Different from large-scale classification tasks, fine-grained visual classification is a challenging task due to two critical problems: 1) evident intra-class variances and subtle inter-class differences, and 2) overfitting owing to fewer…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Hang Yao , Qiguang Miao , Peipei Zhao , Chaoneng Li , Xin Li , Guanwen Feng , Ruyi Liu

We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

Deep learning algorithms can fare poorly when the training dataset suffers from heavy class-imbalance but the testing criterion requires good generalization on less frequent classes. We design two novel methods to improve performance in…

Machine Learning · Computer Science 2019-10-29 Kaidi Cao , Colin Wei , Adrien Gaidon , Nikos Arechiga , Tengyu Ma

Enabling effective and efficient machine learning (ML) over large-scale graph data (e.g., graphs with billions of edges) can have a great impact on both industrial and scientific applications. However, existing efforts to advance…

Machine Learning · Computer Science 2021-10-22 Weihua Hu , Matthias Fey , Hongyu Ren , Maho Nakata , Yuxiao Dong , Jure Leskovec

Integrating supervised contrastive loss to cross entropy-based communication has recently been proposed as a solution to address the long-tail learning problem. However, when the class imbalance ratio is high, it requires adjusting the…

Machine Learning · Computer Science 2024-07-10 Charika De Alvis , Dishanika Denipitiyage , Suranga Seneviratne
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