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We propose a nonconvex estimator for joint multivariate regression and precision matrix estimation in the high dimensional regime, under sparsity constraints. A gradient descent algorithm with hard thresholding is developed to solve the…

Machine Learning · Statistics 2016-06-03 Jinghui Chen , Quanquan Gu

Huge amount of applications in various fields, such as gene expression analysis or computer vision, undergo data sets with high-dimensional low-sample-size (HDLSS), which has putted forward great challenges for standard statistical and…

Machine Learning · Computer Science 2022-06-07 Liran Shen , Meng Joo Er , Qingbo Yin

The Hamiltonian Monte Carlo (HMC) sampling algorithm exploits Hamiltonian dynamics to construct efficient Markov Chain Monte Carlo (MCMC), which has become increasingly popular in machine learning and statistics. Since HMC uses the gradient…

Machine Learning · Computer Science 2019-06-04 Minghao Gu , Shiliang Sun

Hyperdimensional computing (HDC) is an increasingly popular computing paradigm with immense potential for future intelligent applications. Although the main ideas already took form in the 1990s, HDC recently gained significant attention,…

Machine Learning · Computer Science 2023-11-15 Pieter Dewulf , Bernard De Baets , Michiel Stock

The Internet of Things (IoT) has facilitated many applications utilizing edge-based machine learning (ML) methods to analyze locally collected data. Unfortunately, popular ML algorithms often require intensive computations beyond the…

Machine Learning · Computer Science 2023-11-15 Junyao Wang , Mohammad Abdullah Al Faruque

Hamilton-Jacobi (HJ) reachability analysis is a widely used method for ensuring the safety of robotic systems. Traditional approaches compute reachable sets by numerically solving an HJ Partial Differential Equation (PDE) over a grid, which…

Robotics · Computer Science 2025-05-08 Zeyuan Feng , Le Qiu , Somil Bansal

In biomedical research, to obtain more accurate prediction results from a target study, leveraging information from multiple similar source studies is proved to be useful. However, in many biomedical applications based on real-world data,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Jie Hu , Naimin Jing , Yang Ning , Cheng Yong Tang , Runze Li , Yong Chen

Brain-inspired hyperdimensional computing (HDC) has been recently considered a promising learning approach for resource-constrained devices. However, existing approaches use static encoders that are never updated during the learning…

Machine Learning · Computer Science 2023-04-13 Junyao Wang , Sitao Huang , Mohsen Imani

A typical assumption in supervised machine learning is that the train (source) and test (target) datasets follow completely the same distribution. This assumption is, however, often violated in uncertain real-world applications, which…

Machine Learning · Computer Science 2021-08-17 Masahiro Nomura , Yuta Saito

The curse of dimensionality presents a pervasive challenge in optimization problems, with exponential expansion of the search space rapidly causing traditional algorithms to become inefficient or infeasible. An adaptive sampling strategy is…

Numerical Analysis · Mathematics 2025-11-18 Julian Soltes

With the advance of technology, entities can be observed in multiple views. Multiple views containing different types of features can be used for clustering. Although multi-view clustering has been successfully applied in many applications,…

Machine Learning · Computer Science 2016-04-20 Weixiang Shao , Jiawei Zhang , Lifang He , Philip S. Yu

Publicly available collections of drug-like molecules have grown to comprise 10s of billions of possibilities in recent history due to advances in chemical synthesis. Traditional methods for identifying "hit" molecules from a large…

Accurate and efficient estimation of rare events probabilities is of significant importance, since often the occurrences of such events have widespread impacts. The focus in this work is on precisely quantifying these probabilities, often…

Methodology · Statistics 2023-05-23 Konstantinos G. Papakonstantinou , Hamed Nikbakht , Elsayed Eshra

Observational studies are regarded as economic alternatives to randomized trials, often used in their stead to investigate and determine treatment efficacy. Due to lack of sample size, observational studies commonly combine data from…

Machine Learning · Statistics 2022-05-16 Tianhui Zhou , William E. Carson , Michael Hunter Klein , David Carlson

Dataset condensation can be used to reduce the computational cost of training multiple models on a large dataset by condensing the training dataset into a small synthetic set. State-of-the-art approaches rely on matching the model gradients…

Machine Learning · Computer Science 2024-05-29 Mucong Ding , Yuancheng Xu , Tahseen Rabbani , Xiaoyu Liu , Brian Gravelle , Teresa Ranadive , Tai-Ching Tuan , Furong Huang

Hyperdimensional Computing (HDC) has obtained abundant attention as an emerging non von Neumann computing paradigm. Inspired by the way human brain functions, HDC leverages high dimensional patterns to perform learning tasks. Compared to…

Neural and Evolutionary Computing · Computer Science 2022-07-27 Dongning Ma , Xun Jiao

Hyperdimensional computing (HDC) has become popular for light-weight and energy-efficient machine learning, suitable for wearable Internet-of-Things (IoT) devices and near-sensor or on-device processing. HDC is computationally less complex…

Machine Learning · Computer Science 2023-12-01 Laura Smets , Werner Van Leekwijck , Ing Jyh Tsang , Steven Latre

Classical metric and non-metric multidimensional scaling (MDS) variants are widely known manifold learning (ML) methods which enable construction of low dimensional representation (projections) of high dimensional data inputs. However,…

Data Analysis, Statistics and Probability · Physics 2014-06-16 Denis Horvath , Jozef Ulicny , Branislav Brutovsky

Context: Classification of software requirements into different categories is a critically important task in requirements engineering (RE). Developing machine learning (ML) approaches for requirements classification has attracted great…

Software Engineering · Computer Science 2023-02-27 Manal Binkhonain , Liping Zhao

Hyperdimensional Computing (HDC), a technique inspired by cognitive models of computation, has been proposed as an efficient and robust alternative basis for machine learning. HDC programs are often manually written in low-level and target…