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Barrett's algorithm is one of the most widely used methods for performing modular multiplication, a critical nonlinear operation in modern privacy computing techniques such as homomorphic encryption (HE) and zero-knowledge proofs (ZKP).…

Cryptography and Security · Computer Science 2025-11-06 Haomin Li , Fangxin Liu , Chenyang Guan , Zongwu Wang , Li Jiang , Haibing Guan

CMOS technology and its continuous scaling have made electronics and computers accessible and affordable for almost everyone on the globe; in addition, they have enabled the solutions of a wide range of societal problems and applications.…

Emerging Technologies · Computer Science 2019-07-19 Jintao Yu , Hoang Anh Du Nguyen , Lei Xie , Mottaqiallah Taouil , Said Hamdioui

Analog computing using non-volatile memristors has emerged as a promising solution for energy-efficient deep learning. New materials, like perovskites-based memristors are recently attractive due to their cost-effectiveness, energy…

Modeling complex phenomena typically involves the use of both discrete and continuous variables. Such a setting applies across a wide range of problems, from identifying trends in time-series data to performing effective compositional scene…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Tuan Anh Le , Katherine M. Collins , Luke Hewitt , Kevin Ellis , N. Siddharth , Samuel J. Gershman , Joshua B. Tenenbaum

Shooting methods are an efficient approach to solving nonlinear optimal control problems. As they use local optimization, they exhibit favorable convergence when initialized with a good warm-start but may not converge at all if provided…

Robotics · Computer Science 2021-03-25 Wolfgang Merkt , Vladimir Ivan , Traiko Dinev , Ioannis Havoutis , Sethu Vijayakumar

Memristors, uniquely characterized by their pinched hysteresis loop fingerprints, have attracted significant research interest over the past decade, due to their enormous potential for novel computation and artificial intelligence…

Applied Physics · Physics 2025-08-07 Erion Uka , Chun Zhao

Solving mazes is not just a fun pastime. Mazes are prototype models in graph theory, topology, robotics, traffic optimization, psychology, and in many other areas of science and technology. However, when maze complexity increases their…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 Yuriy V. Pershin , Massimiliano Di Ventra

Many natural phenomena involve processes that happen simultaneously at different characteristic length- and timescales. Typically, the region where the process of interest happens is affected by fluctuations in its surroundings. Modeling…

Materials Science · Physics 2026-04-24 Hari Haran Sudhakar , Alessandra Serva , Rocio Semino

We develop a fast-running smooth adaptive meshing (SAM) algorithm for dynamic curvilinear mesh generation, which is based on a fast solution strategy of the time-dependent Monge-Amp\`{e}re (MA) equation, $\det \nabla \psi(x,t) = \mathsf{G}…

Computational Physics · Physics 2023-07-19 Raaghav Ramani , Steve Shkoller

Due to decelerating gains in single-core CPU performance, computationally expensive simulations are increasingly executed on highly parallel hardware platforms. Agent-based simulations, where simulated entities act with a certain degree of…

Multiagent Systems · Computer Science 2018-07-04 Jiajian Xiao , Philipp Andelfinger , David Eckhoff , Wentong Cai , Alois Knoll

Developing efficient and guaranteed nonconvex algorithms has been an important challenge in modern machine learning. Algorithms with good empirical performance such as stochastic gradient descent often lack theoretical guarantees. In this…

Machine Learning · Statistics 2017-06-15 Anima Anandkumar , Yuan Deng , Rong Ge , Hossein Mobahi

In 2008, researchers at HP Labs published a paper in {\it Nature} reporting the realisation of a new basic circuit element that completes the missing link between charge and flux-linkage, which was postulated by Leon Chua in 1971. The HP…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 O. Kavehei , A. Iqbal , Y. S. Kim , K. Eshraghian , S. F. Al-Sarawi , D. Abbott

Non-equilibrium molecular-scale dynamics, where fast electron transport couples with slow chemical state evolution, underpins the complex behaviors of molecular memristors, yet a general model linking these dynamics to neuromorphic…

Chemical Physics · Physics 2026-05-19 Yueqi Chen , Xuan Ji , Xi Yu

Neural networks for time series forecasting have relied on error metrics and architecture-specific interpretability approaches for model selection that don't apply across models of different families. To interpret forecasting models…

Machine Learning · Computer Science 2026-05-29 Krupakar Hans , V A Kandappan

We propose homotopy analysis method in combination with Galerkin projections to approximate the natural response of non-smooth oscillators with discontinuities of type Heaviside, signum, modulus etc. While constructing the homotopy, we…

Dynamical Systems · Mathematics 2018-11-27 Jeet Desai , Amol Marathe

Recent breakthroughs in associative memories suggest that silicon memories are coming closer to human memories, especially for memristive Content Addressable Memories (CAMs) which are capable to read and write in analog values. However, the…

Emerging Technologies · Computer Science 2023-04-24 Jiaao Yu , Paul-Philipp Manea , Sara Ameli , Mohammad Hizzani , Amro Eldebiky , John Paul Strachan

Memory circuit elements, namely memristive, memcapacitive and meminductive systems, are gaining considerable attention due to their ubiquity and use in diverse areas of science and technology. Their modeling within the most widely used…

Computational Physics · Physics 2016-06-24 D. Biolek , M. Di Ventra , Y. V. Pershin

The exponential growth of artificial intelligence (AI) applications has exposed the inefficiency of conventional von Neumann architectures, where frequent data transfers between compute units and memory create significant energy and latency…

Hardware Architecture · Computer Science 2026-03-18 James Read , Ming-Yen Lee , Wei-Hsing Huang , Yuan-Chun Luo , Anni Lu , Shimeng Yu

Adaptive representations are increasingly indispensable for reducing the in-memory and on-disk footprints of large-scale data. Usual solutions are designed broadly along two themes: reducing data precision, e.g., through compression, or…

Graphics · Computer Science 2022-07-15 Harsh Bhatia , Duong Hoang , Nate Morrical , Valerio Pascucci , Peer-Timo Bremer , Peter Lindstrom

Aortic stenosis (AS) is the most common valvular heart disease in developed countries. High-fidelity preclinical models can improve AS management by enabling therapeutic innovation, early diagnosis, and tailored treatment planning. However,…

Computational Engineering, Finance, and Science · Computer Science 2024-07-02 Caglar Ozturk , Daniel H. Pak , Luca Rosalia , Debkalpa Goswami , Mary E. Robakowski , Raymond McKay , Christopher T. Nguyen , James S. Duncan , Ellen T. Roche