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Mixture of linear regression is well studied in statistics and machine learning, where the data points are generated probabilistically using $k$ linear models. Algorithms like Expectation Maximization (EM) may be used to recover the ground…

Machine Learning · Computer Science 2026-04-08 Avishek Ghosh

Designing deep neural networks is an art that often involves an expensive search over candidate architectures. To overcome this for recurrent neural nets (RNNs), we establish a connection between the hidden state dynamics in an RNN and…

Machine Learning · Computer Science 2021-12-14 Tan M. Nguyen , Richard G. Baraniuk , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

The Holomorphic Embedding Load flow Method (HELM) employs complex analysis to solve the load flow problem. It guarantees finding the correct solution when it exists, and identifying when a solution does not exist. The method, however, is…

Optimization and Control · Mathematics 2020-02-27 Majid Heidarifar , Panagiotis Andrianesis , Michael Caramanis

Incremental learning of semantic segmentation has emerged as a promising strategy for visual scene interpretation in the open- world setting. However, it remains challenging to acquire novel classes in an online fashion for the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Shipeng Yan , Jiale Zhou , Jiangwei Xie , Songyang Zhang , Xuming He

Gradients of neural networks encode valuable information for optimization, editing, and analysis of models. Therefore, practitioners often treat gradients as inputs to task-specific algorithms, e.g. for pruning or optimization. Recent works…

Machine Learning · Computer Science 2025-10-14 Yoav Gelberg , Yam Eitan , Aviv Navon , Aviv Shamsian , Theo , Putterman , Michael Bronstein , Haggai Maron

This paper presents HGEN that pioneers ensemble learning for heterogeneous graphs. We argue that the heterogeneity in node types, nodal features, and local neighborhood topology poses significant challenges for ensemble learning,…

Machine Learning · Computer Science 2026-02-05 Jiajun Shen , Yufei Jin , Yi He , Xingquan Zhu

Highway deep neural network (HDNN) is a type of depth-gated feedforward neural network, which has shown to be easier to train with more hidden layers and also generalise better compared to conventional plain deep neural networks (DNNs).…

Computation and Language · Computer Science 2017-03-23 Liang Lu

Achieving robust networks is a challenging problem due to its NP-hard nature and complex solution space. Current methods, from handcrafted feature extraction to deep learning, have made progress but remain rigid, requiring manual design and…

Artificial Intelligence · Computer Science 2024-10-24 He Yu , Jing Liu

We formulate the entropy of a quantized artificial neural network as a differentiable function that can be plugged as a regularization term into the cost function minimized by gradient descent. Our formulation scales efficiently beyond the…

Machine Learning · Computer Science 2021-07-13 Enzo Tartaglione , Stéphane Lathuilière , Attilio Fiandrotti , Marco Cagnazzo , Marco Grangetto

Efficiently identifying the right trajectories for training remains an open problem in GFlowNets. To address this, it is essential to prioritize exploration in regions of the state space where the reward distribution has not been…

Machine Learning · Computer Science 2025-10-23 Sajan Muhammad , Salem Lahlou

The presence of missing values within high-dimensional data is an ubiquitous problem for many applied sciences. A serious limitation of many available data mining and machine learning methods is their inability to handle partially missing…

Machine Learning · Computer Science 2022-08-02 Qi Ma , Sujit K. Ghosh

We consider the problem of scheduling in constrained queueing networks with a view to minimizing packet delay. Modern communication systems are becoming increasingly complex, and are required to handle multiple types of traffic with widely…

Machine Learning · Computer Science 2021-05-04 Mohammani Zaki , Avi Mohan , Aditya Gopalan , Shie Mannor

Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

Optimization and Control · Mathematics 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

In this paper, we propose a navigation algorithm oriented to multi-agent environment. This algorithm is expressed as a hierarchical framework that contains a Hidden Markov Model (HMM) and a Deep Reinforcement Learning (DRL) structure. For…

Robotics · Computer Science 2018-07-18 Wenhao Ding , Shuaijun Li , Huihuan Qian

Urban traffic flow prediction using data-driven models can play an important role in route planning and preventing congestion on highways. These methods utilize data collected from traffic recording stations at different timestamps to…

Machine Learning · Computer Science 2022-04-22 Mehdi Mehdipour Ghazi , Amin Ramezani , Mehdi Siahi , Mostafa Mehdipour Ghazi

In massive multiple-input multiple-output (MIMO) systems, hybrid analog-digital (AD) beamforming can be used to attain a high directional gain without requiring a dedicated radio frequency (RF) chain for each antenna element, which…

Signal Processing · Electrical Eng. & Systems 2021-09-15 S. Shi , Y. Cai , Q. Hu , B. Champagne , L. Hanzo

The Extreme Learning Machine (ELM) is a growing statistical technique widely applied to regression problems. In essence, ELMs are single-layer neural networks where the hidden layer weights are randomly sampled from a specific distribution,…

Machine Learning · Statistics 2025-07-31 Daniela De Canditiis , Fabiano Veglianti

As overparameterized models become increasingly prevalent, training loss alone offers limited insight into generalization performance. While smoothness has been linked to improved generalization across various settings, directly enforcing…

Machine Learning · Computer Science 2025-09-30 Yifan Hao , Yanxin Lu , Hanning Zhang , Xinwei Shen , Tong Zhang

We present a noise-injected version of the Expectation-Maximization (EM) algorithm: the Noisy Expectation Maximization (NEM) algorithm. The NEM algorithm uses noise to speed up the convergence of the EM algorithm. The NEM theorem shows that…

Machine Learning · Statistics 2018-01-15 Osonde Osoba , Bart Kosko

This paper presents a proper generalized decomposition (PGD) based reduced-order model of hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-PGD method keeps both advantages of HiDeNN and PGD methods. The automatic…

Numerical Analysis · Mathematics 2022-01-12 Lei Zhang , Ye Lu , Shaoqiang Tang , Wing Kam Liu