Results 91 to 100 of about 17,772 (305)
Automated Theorem Proving A Logical Basis
, 1978 Automated Theorem Proving: A Logical ...
Loveland, D.W.
core
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
ProofPeer: Collaborative Theorem Proving [PDF]
, 2014 We define the concept of collaborative theorem proving and outline our plan to make it a reality. We believe that a successful implementation of collaborative theorem proving is a necessary prerequisite for the formal verification of large ...
Obua, Steven +3 more
core
Formalizing the Cholesky Factorization Theorem [PDF]
We present a formal proof of the Cholesky Factorization Theorem, a fundamental result in numerical linear algebra, by verifying formally a Cholesky decomposition algorithm in ACL2.
Hunt Jr., Warren A., Kwan, Carl
core +1 more source
Theorem recycling for Theorem Proving
EPiC Series in Computing, 2018 In this paper we examine two cases where solutions to one system of constraints can be used or adapted to solutions to others, for free. We first revisit a method by Bromberger for lifting solutions to systems over linear real arithmetic to solutions over integers. We extend it by identifying several scenarios where solutions over reals can be directly
Nikolaj Bjorner, Lev Nachmanson
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source
Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
wiley +1 more source
Enacting Reasoning-and-Proving in Secondary Mathematics Classrooms through Tasks [PDF]
, 2013 Proof is the mathematical way of convincing oneself and others of the truth of a claim for all cases in the domain under consideration. As such, reasoning-and-proving is a crucial, formative practice for all students in kindergarten through twelfth ...
Switala, Michelle S
core
A Comprehensive Overview of the Lebesgue Differentiation Theorem in Coq [PDF]
Formalization of real analysis offers a chance to rebuild traditional proofs of important theorems as unambiguous theories that can be interactively explored. This paper provides a comprehensive overview of the Lebesgue Differentiation Theorem formalized
Affeldt, Reynald, Stone, Zachary
core +1 more source
Advanced Intelligent Systems, EarlyView.This paper presents a lidar‐based sensor node design and a rule‐based state observer for edge‐based traffic participant tracking. Unlike other state‐of‐the‐art methods, this state observer enables real‐time, CPU‐only edge processing without relying on machine learning approaches.
Simon Schäfer +2 more
wiley +1 more source