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Exploring the limits of an Analog and Mixed Signal (AMS) circuit by driving appropriate inputs has been a serious challenge to the industry. Doing an exhaustive search of the entire input state space is a time-consuming exercise and the…

Formal Languages and Automata Theory · Computer Science 2021-05-03 Sayandeep Sanyal , Ayan Chakraborty , Pallab Dasgupta , Aritra Hazra

LU and Cholesky matrix factorization algorithms are core subroutines used to solve systems of linear equations (SLEs) encountered while solving an optimization problem. Standard factorization algorithms are highly efficient but remain…

Numerical Analysis · Mathematics 2022-07-25 Adolfo R. Escobedo

Bayesian Matrix Factorization (BMF) is a powerful technique for recommender systems because it produces good results and is relatively robust against overfitting. Yet BMF is more computationally intensive and thus more challenging to…

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

Logic in Computer Science · Computer Science 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

Reactive synthesis supports designers by automatically constructing correct hardware from declarative specifications. Synthesis algorithms usually compute a strategy, and then construct a circuit that implements it. In this work, we study…

Logic in Computer Science · Computer Science 2014-08-26 Roderick Bloem , Uwe Egly , Patrick Klampfl , Robert Koenighofer , Florian Lonsing

A large body of literature has proved that the Bayesian optimization framework is especially efficient and effective in analog circuit synthesis. However, most of the previous research works only focus on designing informative surrogate…

Systems and Control · Electrical Eng. & Systems 2021-09-03 Shuhan Zhang , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng

In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix functions, extending its capabilities to precisely factorize rational matrices when an exact lower-upper triangular factorization is available.…

Complex Variables · Mathematics 2023-12-07 Lasha Ephremidze , Gennady Mishuris , Ilya Spitkovsky

We present a quantum electronic embedding method derived from the exact factorization approach to calculate static properties of a many-electron system. The method is exact in principle but the practical power lies in utilizing input from a…

Strongly Correlated Electrons · Physics 2020-05-27 Lionel Lacombe , Neepa T. Maitra

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

New technologies such as Quantum-dot Cellular Automata (QCA), Single Electron Tunneling (SET), Tunneling Phase Logic (TPL) and all-spin logic (ASL) devices have been widely advocated in nanotechnology as a response to the physical limits…

Emerging Technologies · Computer Science 2016-11-16 Moein Sarvaghad-Moghaddam , Ali A. Orouji , Monireh Houshmand

Motivated by functional synthesis in sequential circuit construction and quantified boolean formulas (QBF), boolean synthesis serves as one of the core problems in Formal Methods. Recent advances show that decision diagrams (DD) are…

Symbolic Computation · Computer Science 2025-12-09 Yi Lin , Moshe Y. Vardi

Over the past a few years, research and development has made significant progresses on big data analytics. A fundamental issue for big data analytics is the efficiency. If the optimal solution is unable to attain or not required or has a…

Databases · Computer Science 2019-01-03 Shuai Ma , Jinpeng Huai

In this paper, a library-based synthesis methodology for reversible circuits is proposed where a reversible specification is considered as a permutation comprising a set of cycles. To this end, a pre-synthesis optimization step is…

Quantum Physics · Physics 2012-09-04 Mehdi Saeedi , Mehdi Sedighi , Morteza Saheb Zamani

Matrix factorization is a fundamental method in statistics and machine learning for inferring and summarizing structure in multivariate data. Modern data sets often come with "side information" of various forms (images, text, graphs) that…

The widespread adoption of machine learning algorithms necessitates hardware acceleration to ensure efficient performance. This acceleration relies on custom matrix engines that operate on full or reduced-precision floating-point…

Hardware Architecture · Computer Science 2024-08-23 Kosmas Alexandridis , Christodoulos Peltekis , Dionysios Filippas , Giorgos Dimitrakopoulos

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

Statistics Theory · Mathematics 2025-12-15 Piotr Bania , Anna Wójcik

Approximate computing offers promising energy efficiency benefits for error-tolerant applications, but discovering optimal approximations requires extensive design space exploration (DSE). Predicting the accuracy of circuits composed of…

Hardware Architecture · Computer Science 2026-03-20 Ondrej Vlcek , Vojtech Mrazek

We present a tool flow and results for a model-based hardware design for FPGAs from Simulink descriptions which nicely integrates into existing environments. While current commercial tools do not exploit some high-level optimizations, we…

Hardware Architecture · Computer Science 2015-08-28 Konrad Möller , Martin Kumm , Charles-Frederic Müller , Peter Zipf

Block-encodings of matrices have become an essential element of quantum algorithms derived from the quantum singular value transformation. This includes a variety of algorithms ranging from the quantum linear systems problem to quantum…

Quantum Physics · Physics 2023-06-13 Daan Camps , Roel Van Beeumen