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In this work, we study the tensor ring decomposition and its associated numerical algorithms. We establish a sharp transition of algorithmic difficulty of the optimization problem as the bond dimension increases: On one hand, we show the…

Numerical Analysis · Mathematics 2020-06-17 Ziang Chen , Yingzhou Li , Jianfeng Lu

The recent trend toward increasingly deep convolutional neural networks (CNNs) leads to a higher demand of computational power and memory storage. Consequently, the deployment of CNNs in hardware has become more challenging. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Maurice Yang , Mahmoud Faraj , Assem Hussein , Vincent Gaudet

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

Methodology · Statistics 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

Quantum machine learning with quantum kernels for classification problems is a growing area of research. Recently, quantum kernel alignment techniques that parameterise the kernel have been developed, allowing the kernel to be trained and…

This paper proposes a novel computationally efficient algorithm for optimal sizing of Battery Energy Storage Systems (BESS) considering renewable energy bidding strategies. Unlike existing two-stage methods, our algorithm enables the…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Taiyo Mantani , Hikaru Hoshino , Tomonari Kanazawa , Eiko Furutani

In this paper, we present an efficient method for storing fine-tuned models by leveraging the low-rank properties of weight residuals. Our key observation is that weight residuals in large overparameterized models exhibit even stronger…

Machine Learning · Computer Science 2023-05-31 Simo Ryu , Seunghyun Seo , Jaejun Yoo

Motion planning and control problems are embedded and essential in almost all robotics applications. These problems are often formulated as stochastic optimal control problems and solved using dynamic programming algorithms. Unfortunately,…

Robotics · Computer Science 2018-01-12 Alex A. Gorodetsky , Sertac Karaman , Youssef M. Marzouk

Optimizing the mRNA codon has an essential impact on gene expression for a specific target protein. It is an NP-hard problem; thus, exact solutions to such optimization problems become computationally intractable for realistic problem sizes…

Quantum Physics · Physics 2024-05-13 Hongfeng Zhang , Aritra Sarkar , Koen Bertels

The sparse dictionary coding framework represents signals as a linear combination of a few predefined dictionary atoms. It has been employed for images, time series, graph signals and recently for 2-way (or 2D) spatio-temporal data…

Machine Learning · Computer Science 2024-06-12 Boya Ma , Maxwell McNeil , Abram Magner , Petko Bogdanov

Optimization problems often involve vector norms, which has led to extensive research on developing algorithms that can handle objectives beyond the $\ell_p$ norms. Our work introduces the concept of submodular norms, which are a versatile…

Data Structures and Algorithms · Computer Science 2023-10-10 Kalen Patton , Matteo Russo , Sahil Singla

High-dimensional data is common in multiple areas, such as health care and genomics, where the number of features can be tens of thousands. In such scenarios, the large number of features often leads to inefficient learning. Constraint…

Machine Learning · Statistics 2023-06-13 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

Relative entropy coding (REC) algorithms encode a random sample following a target distribution $Q$, using a coding distribution $P$ shared between the sender and receiver. Sadly, general REC algorithms suffer from prohibitive encoding…

Information Theory · Computer Science 2024-10-30 Jiajun He , Gergely Flamich , José Miguel Hernández-Lobato

In recent decades, cold atom experiments have become increasingly complex. While computers control most parameters, optimization is mostly done manually. This is a time-consuming task for a high-dimensional parameter space with unknown…

Quantum Physics · Physics 2013-09-03 I. Geisel , K. Cordes , J. Mahnke , S. Jöllenbeck , J. Ostermann , J. Arlt , W. Ertmer , C. Klempt

Understanding the quantum control landscape (QCL) is important for designing effective quantum control strategies. In this study, we analyze the QCL for a single two-level quantum system (qubit) using various control strategies. We employ…

Quantum Physics · Physics 2025-05-06 Haftu W. Fentaw , Steve Campbell , Simon Caton

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

Neural and Evolutionary Computing · Computer Science 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

Deep convolutional neural networks (CNN) has become the most promising method for object recognition, repeatedly demonstrating record breaking results for image classification and object detection in recent years. However, a very deep CNN…

Computer Vision and Pattern Recognition · Computer Science 2014-12-22 Yunchao Gong , Liu Liu , Ming Yang , Lubomir Bourdev

Recommendation problems with large numbers of discrete items, such as products, webpages, or videos, are ubiquitous in the technology industry. Deep neural networks are being increasingly used for these recommendation problems. These models…

Machine Learning · Computer Science 2019-07-11 Manas R. Joglekar , Cong Li , Jay K. Adams , Pranav Khaitan , Quoc V. Le

This Ph.D. thesis discusses advanced design issues of the evolutionary-based algorithm \textit{"Coral Reef Optimization"}, in its Substrate-Layer (CRO-SL) version, for optimization problems in Engineering Applications. The problems that can…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Carlos Camacho-Gómez

Variational quantum circuits have arisen as an important method in quantum computing. A crucial step of it is parameter optimization, which is typically tackled through gradient-descent techniques. We advantageously explore instead the use…

Quantum Physics · Physics 2024-12-24 Vignesh Anantharamakrishnan , Márcio M. Taddei

Pruning is an effective technique for convolutional neural networks (CNNs) model compression, but it is difficult to find the optimal pruning policy due to the large design space. To improve the usability of pruning, many auto pruning…

Machine Learning · Computer Science 2022-07-26 Hanwei Fan , Jiandong Mu , Wei Zhang