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Approximate computing is a new computing paradigm. One important area of it is designing approximate circuits for FPGA. Modern FPGAs support dual-output LUT, which can significantly reduce the area of FPGA designs. Several existing works…

Hardware Architecture · Computer Science 2025-09-10 Jian Shi , Xuan Wang , Chang Meng , Weikang Qian

The discovery of suitable automorphisms of polar codes gained a lot of attention by applying them in Automorphism Ensemble Decoding (AED) to improve the error-correction performance, especially for short block lengths. This paper introduces…

Information Theory · Computer Science 2023-06-29 Lucas Johannsen , Claus Kestel , Marvin Geiselhart , Timo Vogt , Stephan ten Brink , Norbert Wehn

Data deduplication has gained wide acclaim as a mechanism to improve storage efficiency and conserve network bandwidth. Its most critical phase, data chunking, is responsible for the overall space savings achieved via the deduplication…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Sreeharsha Udayashankar , Samer Al-Kiswany

Approximate Logic Synthesis (ALS) is the process of synthesizing and mapping a given Boolean network to a library of logic cells so that the magnitude/rate of error between outputs of the approximate and initial (exact) Boolean netlists is…

Hardware Architecture · Computer Science 2019-02-04 Ghasem Pasandi , Shahin Nazarian , Massoud Pedram

Timing systems based on Analog-to-Digital Converters are widely used in the design of previous high energy physics detectors. In this paper, we propose a new method based on deep learning to extract the time information from a finite set of…

Data Analysis, Statistics and Probability · Physics 2019-04-02 Pengcheng Ai , Dong Wang , Guangming Huang , Ni Fang , Deli Xu , Fan Zhang

Advanced driver-assistance systems (ADAS) require neural compute engines that deliver low-latency inference under strict power and area constraints. Posit arithmetic is attractive for such accelerators because it provides high numerical…

Hardware Architecture · Computer Science 2026-05-11 Mukul Lokhande , Ratko Pilipovic , Omkar Kokane , Adam Teman , Santosh Kumar Vishvakarma

CUR matrix decomposition is a randomized algorithm that can efficiently compute the low rank approximation for a given rectangle matrix. One limitation with the existing CUR algorithms is that they require an access to the full matrix A for…

Machine Learning · Computer Science 2014-03-25 Rong Jin , Shenghuo Zhu

A Cylindrical Algebraic Decomposition (CAD) is a decomposition of R^n into a finite collection of semialgebraic cells. A CAD satisfies the "frontier condition" if, for every cell C, there is a collection of cells of the decomposition whose…

Algebraic Geometry · Mathematics 2023-07-18 Hollie Baker

Technology mapping involves mapping logical circuits to a library of cells. Traditionally, the full technology library is used, leading to a large search space and potential overhead. Motivated by randomly sampled technology mapping case…

Hardware Architecture · Computer Science 2024-07-26 Mingju Liu , Daniel Robinson , Yingjie Li , Cunxi Yu

Coordinate descent (CD) algorithms have become the method of choice for solving a number of optimization problems in machine learning. They are particularly popular for training linear models, including linear support vector machine…

Machine Learning · Statistics 2014-01-16 Tobias Glasmachers , Ürün Dogan

Stellar activity and planetary effects induce radial velocity (RV) offsets and cause temporal distortions in the shape of the stellar line profile. Hence, accurately probing the stellar line profile offers a wealth of information on both…

Earth and Planetary Astrophysics · Physics 2024-03-12 L. S. Dolan , E. J. W de Mooij , C. A. Watson , D. G. Jackson

In this paper, we present CT-AGD (Curvature-Tuned Accelerated Gradient Descent), an optimization method for non-convex optimization problems in deep learning training tasks. CT-AGD is a general boosting procedure that accelerates…

Machine Learning · Computer Science 2026-05-18 Manuel Graca , L. Miguel Silveira , Arlindo Oliveira , Frank Liu

With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

We employ chordal decomposition to reformulate a large and sparse semidefinite program (SDP), either in primal or dual standard form, into an equivalent SDP with smaller positive semidefinite (PSD) constraints. In contrast to previous…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

Numerical Analysis · Mathematics 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

The URLLC scenario in the upcoming 6G standard requires low latency and ultra reliable transmission, i.e., error correction towards ML performance. Achieving near-ML performance is very challenging especially for short block lengths. Polar…

Information Theory · Computer Science 2023-03-03 Claus Kestel , Marvin Geiselhart , Lucas Johannsen , Stephan ten Brink , Norbert Wehn

Utility-scale solid-state quantum devices will need to fabricate quantum devices at scale using imperfect processes. By introducing tolerance to fabrication defects into the design of the quantum devices, we can improve the yield of usable…

Quantum Physics · Physics 2026-01-13 Stasiu Wolanski

The problems of shape classification and part segmentation from 3D point clouds have garnered increasing attention in the last few years. Both of these problems, however, suffer from relatively small training sets, creating the need for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 Matheus Gadelha , Aruni RoyChowdhury , Gopal Sharma , Evangelos Kalogerakis , Liangliang Cao , Erik Learned-Miller , Rui Wang , Subhransu Maji

The increasing size of deep learning models has made distributed training across multiple devices essential. However, current methods such as distributed data-parallel training suffer from large communication and synchronization overheads…

Machine Learning · Computer Science 2025-02-10 Cabrel Teguemne Fokam , Khaleelulla Khan Nazeer , Lukas König , David Kappel , Anand Subramoney