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Related papers: Topological Learning in Multi-Class Data Sets

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Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Artificial Intelligence · Computer Science 2015-06-22 Chris Piech , Jonathan Spencer , Jonathan Huang , Surya Ganguli , Mehran Sahami , Leonidas Guibas , Jascha Sohl-Dickstein

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

Machine Learning · Computer Science 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

Modern machine learning algorithms, especially deep learning based techniques, typically involve careful hyperparameter tuning to achieve the best performance. Despite the surge of intense interest in practical techniques like Bayesian…

Machine Learning · Computer Science 2025-05-01 Maria-Florina Balcan , Anh Tuan Nguyen , Dravyansh Sharma

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

Machine Learning · Computer Science 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

Deep convolutional neural networks have proven to be well suited for image classification applications. However, if there is distortion in the image, the classification accuracy can be significantly degraded, even with state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Minho Ha , Younghoon Byeon , Youngjoo Lee , Sunggu Lee

Convolutional neural networks (CNNs) trained with cross-entropy loss have proven to be extremely successful in classifying images. In recent years, much work has been done to also improve the theoretical understanding of neural networks.…

Statistics Theory · Mathematics 2024-04-30 Michael Kohler , Sophie Langer

In deep learning, dense layer connectivity has become a key design principle in deep neural networks (DNNs), enabling efficient information flow and strong performance across a range of applications. In this work, we model densely connected…

Machine Learning · Computer Science 2025-10-03 Jinshu Huang , Haibin Su , Xue-Cheng Tai , Chunlin Wu

This work presents a novel algorithm for progressively adapting neural network architecture along the depth. In particular, we attempt to address the following questions in a mathematically principled way: i) Where to add a new capacity…

Machine Learning · Computer Science 2026-03-03 C G Krishnanunni , Tan Bui-Thanh , Clint Dawson

Topological data analysis is an emerging field that applies the study of topological invariants to data. Perhaps the simplest of these invariants is the number of connected components or clusters. In this work, we explore a topological…

Computational Geometry · Computer Science 2023-12-19 Ian Stewart Joyce , Grant Erdmann , Kirk P. Gardner , Ryan Kramer , Kyle Siegrist

Current deep neural networks (DNNs) can easily overfit to biased training data with corrupted labels or class imbalance. Sample re-weighting strategy is commonly used to alleviate this issue by designing a weighting function mapping from…

Machine Learning · Computer Science 2019-09-30 Jun Shu , Qi Xie , Lixuan Yi , Qian Zhao , Sanping Zhou , Zongben Xu , Deyu Meng

There is a growing body of work that leverages features extracted via topological data analysis to train machine learning models. While this field, sometimes known as topological machine learning (TML), has seen some notable successes, an…

Machine Learning · Computer Science 2022-11-16 Sarah McGuire , Shane Jackson , Tegan Emerson , Henry Kvinge

Data Science and Machine Learning have become fundamental assets for companies and research institutions alike. As one of its fields, supervised classification allows for class prediction of new samples, learning from given training data.…

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

Machine Learning · Statistics 2010-01-25 Xiao Tang , Mu Zhu

Deep neural network (DNN) models are effective solutions for industry 4.0 applications (\eg oil spill detection, fire detection, anomaly detection). However, training a DNN network model needs a considerable amount of data collected from…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-25 Razin Farhan Hussain , Mohsen Amini Salehi

Unknown examples that are unseen during training often appear in real-world computer vision tasks, and an intelligent self-learning system should be able to differentiate between known and unknown examples. Open set recognition, which…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Jaeyeon Jang , Chang Ouk Kim

Meta-learning usually refers to a learning algorithm that learns from other learning algorithms. The problem of uncertainty in the predictions of neural networks shows that the world is only partially predictable and a learned neural…

Machine Learning · Computer Science 2023-02-27 Yuwei Sun

In a decentralized machine learning system, data is typically partitioned among multiple devices or nodes, each of which trains a local model using its own data. These local models are then shared and combined to create a global model that…

Machine Learning · Computer Science 2023-08-01 Luigi Palmieri , Lorenzo Valerio , Chiara Boldrini , Andrea Passarella

Deep neural networks are known to have security issues. One particular threat is the Trojan attack. It occurs when the attackers stealthily manipulate the model's behavior through Trojaned training samples, which can later be exploited.…

Machine Learning · Computer Science 2021-06-14 Songzhu Zheng , Yikai Zhang , Hubert Wagner , Mayank Goswami , Chao Chen

Deep neural networks are highly expressive models that have recently achieved state of the art performance on speech and visual recognition tasks. While their expressiveness is the reason they succeed, it also causes them to learn…

Computer Vision and Pattern Recognition · Computer Science 2014-02-20 Christian Szegedy , Wojciech Zaremba , Ilya Sutskever , Joan Bruna , Dumitru Erhan , Ian Goodfellow , Rob Fergus

This study compares various superlearner and deep learning architectures (machine-learning-based and neural-network-based) for classification problems across several simulated and industrial datasets to assess performance and computational…

Machine Learning · Statistics 2017-08-23 Colleen M. Farrelly