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Tenfold improvements in computation speed can be brought to the alternating direction method of multipliers (ADMM) for Semidefinite Programming with virtually no decrease in robustness and provable convergence simply by projecting…

Optimization and Control · Mathematics 2021-12-28 Nikitas Rontsis , Paul J. Goulart , Yuji Nakatsukasa

Unsupervised anomaly detection (AD) is critical for a wide range of practical applications, from network security to health and medical tools. Due to the diversity of problems, no single algorithm has been found to be superior for all AD…

Machine Learning · Computer Science 2023-05-18 Małgorzata Gutowska , Suzanne Little , Andrew McCarren

Algorithmic differentiation (AD) tools allow to obtain gradient information of a continuously differentiable objective function in a computationally cheap way using the so-called backward mode. It is common practice to use the same tools…

Optimization and Control · Mathematics 2024-12-02 Lukas Baumgärtner , Franz Bethke

Plasticity loss, a critical challenge in neural network training, limits a model's ability to adapt to new tasks or shifts in data distribution. This paper introduces AID (Activation by Interval-wise Dropout), a novel method inspired by…

Machine Learning · Computer Science 2025-06-24 Sangyeon Park , Isaac Han , Seungwon Oh , Kyung-Joong Kim

It is expensive to compute residual diffusivity in chaotic in-compressible flows by solving advection-diffusion equation due to the formation of sharp internal layers in the advection dominated regime. Proper orthogonal decomposition (POD)…

Computational Physics · Physics 2019-10-02 Jiancheng Lyu , Jack Xin , Yifeng Yu

Two of the most important areas in computational finance: Greeks and, respectively, calibration, are based on efficient and accurate computation of a large number of sensitivities. This paper gives an overview of adjoint and automatic…

Computational Finance · Quantitative Finance 2011-07-12 Cristian Homescu

Several recent papers investigate Active Learning (AL) for mitigating the data dependence of deep learning for natural language processing. However, the applicability of AL to real-world problems remains an open question. While in…

Computation and Language · Computer Science 2018-09-25 Aditya Siddhant , Zachary C. Lipton

Error-tolerant applications, such as multimedia processing, machine learning, signal processing, and scientific computing, can produce satisfactory outputs even when approximate computations are performed. Approximate computing (AxC) is…

Hardware Architecture · Computer Science 2025-03-05 Marcello Traiola , Nazar Misyats , Silviu-Ioan Filip , Remi Garcia , Angeliki Kritikakou

We theoretically discuss why deep neural networks (DNNs) performs better than other models in some cases by investigating statistical properties of DNNs for non-smooth functions. While DNNs have empirically shown higher performance than…

Machine Learning · Statistics 2018-07-10 Masaaki Imaizumi , Kenji Fukumizu

Approximate computing is known for enhancing deep neural network accelerators' energy efficiency by introducing inexactness with a tolerable accuracy loss. However, small accuracy variations may increase the sensitivity of these…

Hardware Architecture · Computer Science 2023-02-23 Ayesha Siddique , Khaza Anuarul Hoque

Variational inequalities represent a broad class of problems, including minimization and min-max problems, commonly found in machine learning. Existing second-order and high-order methods for variational inequalities require precise…

Anomaly detection (AD), separating anomalies from normal data, has many applications across domains, from security to healthcare. While most previous works were shown to be effective for cases with fully or partially labeled data, that…

Machine Learning · Computer Science 2022-08-08 Jinsung Yoon , Kihyuk Sohn , Chun-Liang Li , Sercan O. Arik , Chen-Yu Lee , Tomas Pfister

Though anomaly detection (AD) can be viewed as a classification problem (nominal vs. anomalous) it is usually treated in an unsupervised manner since one typically does not have access to, or it is infeasible to utilize, a dataset that…

Machine Learning · Computer Science 2023-01-30 Lukas Ruff , Robert A. Vandermeulen , Billy Joe Franks , Klaus-Robert Müller , Marius Kloft

Minimizing prediction uncertainty on unlabeled data is a key factor to achieve good performance in semi-supervised learning (SSL). The prediction uncertainty is typically expressed as the \emph{entropy} computed by the transformed…

Machine Learning · Computer Science 2021-12-16 Jing Li , Yuangang Pan , Ivor W. Tsang

Point cloud is often regarded as a discrete sampling of Riemannian manifold and plays a pivotal role in the 3D image interpretation. Particularly, rotation perturbation, an unexpected small change in rotation caused by various factors (like…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xinyu Xu , Huazhen Liu , Feiming Wei , Huilin Xiong , Wenxian Yu , Tao Zhang

Reduced precision computation for deep neural networks is one of the key areas addressing the widening compute gap driven by an exponential growth in model size. In recent years, deep learning training has largely migrated to 16-bit…

Machine Learning · Computer Science 2019-05-30 Naveen Mellempudi , Sudarshan Srinivasan , Dipankar Das , Bharat Kaul

We present ForwardDiff, a Julia package for forward-mode automatic differentiation (AD) featuring performance competitive with low-level languages like C++. Unlike recently developed AD tools in other popular high-level languages such as…

Mathematical Software · Computer Science 2016-07-28 Jarrett Revels , Miles Lubin , Theodore Papamarkou

The Mat\'ern covariance function is ubiquitous in the application of Gaussian processes to spatial statistics and beyond. Perhaps the most important reason for this is that the smoothness parameter $\nu$ gives complete control over the…

Computation · Statistics 2022-05-11 Christopher J. Geoga , Oana Marin , Michel Schanen , Michael L. Stein

Systolic array-based deep neural network (DNN) accelerators have recently gained prominence for their low computational cost. However, their high energy consumption poses a bottleneck to their deployment in energy-constrained devices. To…

Machine Learning · Computer Science 2021-01-11 Ayesha Siddique , Kanad Basu , Khaza Anuarul Hoque

This project aims to advance differentiable fluid dynamics for hypersonic coupled flow over porous media, demonstrating the potential of automatic differentiation (AD)-based optimization for end-to-end solutions. Leveraging AD efficiently…

Fluid Dynamics · Physics 2024-07-01 Wenkang Wang , Xuanwei Zhang , Deniz Bezgin , Aaron Buhendwa , Xu Chu , Bernhard Weigand