## Found 656 Documents (Results 1–100)

100
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### Automatic differentiation for Riemannian optimization on low-rank matrix and tensor-train manifolds. (English)Zbl 07566191

MSC:  65K05 15A69 53B21
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### Higher order automatic differentiation of higher order functions. (English)Zbl 07566054

MSC:  03B70 68-XX
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### CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method. (English)Zbl 07532555

MSC:  65-XX 68-XX
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MSC:  65-XX
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### Stochastic algorithmic differentiation of (expectations of) discontinuous functions (indicator functions). (English)Zbl 07494120

MSC:  65C05 65D25
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MSC:  74-XX
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MSC:  65C60
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### Automatic differentiation with higher infinitesimals, or computational smooth infinitesimal analysis in Weil algebra. (English)Zbl 07497955

Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 174-191 (2021).
MSC:  68W30
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### On one approach to the numerical solution of a coefficient inverse problem. (English. Russian original)Zbl 07427868

Dokl. Math. 104, No. 1, 208-211 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 58-62 (2021).
MSC:  65Mxx 35Rxx 80Axx
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### TONR: an exploration for a novel way combining neural network with topology optimization. (English)Zbl 07427324

MSC:  74-XX 90-XX
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### Solving inverse problems in stochastic models using deep neural networks and adversarial training. (English)Zbl 07415268

MSC:  62-XX 82-XX
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### Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation. (English)Zbl 07414344

MSC:  65-XX 74-XX
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### Reverse AD at higher types: pure, principled and denotationally correct. (English)Zbl 1473.68058

Yoshida, Nobuko (ed.), Programming languages and systems. 30th European symposium on programming, ESOP 2021, held as part of the European joint conferences on theory and practice of software, ETAPS 2021, Luxembourg City, Luxembourg, March 27 – April 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12648, 607-634 (2021).
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### Projected explicit and implicit Taylor series methods for DAEs. (English)Zbl 1487.65109

MSC:  65L80 34A09 65K10
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### Quaternionic step derivative: machine precision differentiation of holomorphic functions using complex quaternions. (English)Zbl 1472.65035

MSC:  65E05 65D25
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### hp-VPINNs: variational physics-informed neural networks with domain decomposition. (English)Zbl 07338008

MSC:  68-XX 65-XX
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MSC:  65-XX
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### Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization. (English)Zbl 1458.65132

MSC:  65M75 65C20
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### Using automatic differentiation to compute periodic orbits of delay differential equations. (English)Zbl 1469.65113

MSC:  65L03 34K13 65F10
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### Dual numbers and automatic differentiation to efficiently compute velocities and accelerations. (English)Zbl 1470.65031

MSC:  65D25 65Z05
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### An improved hybrid adjoint method in external aerodynamics using variational technique for the boundary integral based optimal objective function gradient. (English)Zbl 1463.65153

MSC:  65K10 76M30 76H05
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### Landau: a language for dynamical systems with automatic differentiation. (English)Zbl 1471.65002

J. Math. Sci., New York 251, No. 3, 354-362 (2020) and Zap. Nauchn. Semin. POMI 485, 78-89 (2019).
MSC:  65-04 65P10 65L04
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### H-revolve: a framework for adjoint computation on synchronous hierarchical platforms. (English)Zbl 1484.65051

MSC:  65D99 68T07
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### Algorithm 1005: Fortran subroutines for reverse mode algorithmic differentiation of BLAS matrix operations. (English)Zbl 1484.65357

MSC:  65Y15 65F99 65J99
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### Application of the fast automatic differentiation technique for solving inverse coefficient problems. (English. Russian original)Zbl 1455.80007

Comput. Math. Math. Phys. 60, No. 1, 15-25 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18-28 (2020).
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### Machine learning algorithms, applications, and practices in data science. (English)Zbl 1444.62138

Rao, Arni Srinivasa (ed.) et al., Principles and methods for data science. Amsterdam: Elsevier/North Holland. Handb. Stat. 43, 81-206 (2020).
MSC:  62R07 62P10 68T05
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MSC:  65K10
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### Fundamental theorem of matrix representations of hyper-dual numbers for computing higher-order derivatives. (English)Zbl 07246802

MSC:  65D25 26A24
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### On the effectiveness of the fast automatic differentiation methodology. (English)Zbl 1473.65018

Evtushenko, Yury (ed.) et al., Optimization and applications. 9th international conference, OPTIMA 2018, Petrovac, Montenegro, October 1–5, 2018. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 974, 264-276 (2019).
MSC:  65D25 68W30
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### Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. (English)Zbl 1451.70033

MSC:  70F15 70K44 34C45
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Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 15-26 (2019).
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### Computation of shape derivatives in electromagnetic shaping by algorithmic differentiation. (English)Zbl 1449.49027

MSC:  49M25 49Q10 78M15
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### Computing hypergeometric functions rigorously. (English)Zbl 1486.65026

MSC:  65D20 33F05 65G30
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### Gradient methods for solving Stackelberg games. (English)Zbl 1431.91072

Pekeč, Saša (ed.) et al., Algorithmic decision theory. 6th international conference, ADT 2019, Durham, NC, USA, October 25–27, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11834, 126-140 (2019).
MSC:  91A65 91A68
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### Identification of the thermal conductivity coefficient in two dimension case. (English)Zbl 1431.49039

MSC:  49N45 80A23
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### Computing invariant manifolds for libration point missions. (English)Zbl 1428.70023

Baù, Giulio (ed.) et al., Satellite dynamics and space missions. Collected papers of the summer school “Satellite dynamics and space missions: theory and applications of celestial mechanics”, San Martino al Cimino, Viterbo, Italy, August 28 – September 2, 2017. Cham: Springer. Springer INdAM Ser. 34, 159-223 (2019).
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MSC:  65F15

### Stochastic automatic differentiation: automatic differentiation for Monte-Carlo simulations. (English)Zbl 1420.91507

MSC:  91G60 65C05 60H15
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### R package rjmcmc: reversible jump MCMC using post-processing. (English)Zbl 1418.62083

MSC:  62-04 62F15 65C60
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### ZpL: a $$p$$-adic precision package. (English)Zbl 1467.68227

Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 119-126 (2018).
MSC:  68W30 11Y16 68-04
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### Topology optimization of turbulent flows. (English)Zbl 1439.74265

MSC:  74P15 76F70 74F10
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### Identification of the thermal conductivity coefficient using a given surface heat flux. (English. Russian original)Zbl 1421.80008

Comput. Math. Math. Phys. 58, No. 12, 2031-2042 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112-2126 (2018).
MSC:  80A23 80A20 80M50 35R30 65M32 49J20 68W30
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### Identification of thermal conductivity coefficient using a given temperature field. (English. Russian original)Zbl 1412.80002

Comput. Math. Math. Phys. 58, No. 10, 1585-1599 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018).
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### Revisiting expression representations for nonlinear AMPL models. (English)Zbl 1411.90321

Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 4th international conference, NAO-IV, Muscat, Oman, January 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 235, 99-118 (2018).
MSC:  90C30
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### Covariances, robustness, and variational Bayes. (English)Zbl 1467.62043

MSC:  62F15 62F35
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### Divide-and-conquer checkpointing for arbitrary programs with no user annotation. (English)Zbl 1455.65037

Optim. Methods Softw. 33, No. 4-6, 1288-1330 (2018); correction ibid. 36, No. 6, 1317-1318 (2021).
MSC:  65D25 68N18
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### Mixed-language automatic differentiation. (English)Zbl 1455.65036

MSC:  65D25 68W30
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MSC:  90C53
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### Differentiating through conjugate gradient. (English)Zbl 1453.65068

MSC:  65F10 68W30 90C52
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### Arbogast: higher order automatic differentiation for special functions with Modular C. (English)Zbl 1455.65006

MSC:  65-04 65D25 68W30
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### Towards a full higher order AD-based continuation and bifurcation framework. (English)Zbl 1453.65439

MSC:  65P30 70E60
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### Estimating the expansion coefficients of a geomagnetic field model using first-order derivatives of associated Legendre functions. (English)Zbl 1453.86037

MSC:  86A25 33C55 65Y99
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### Using automatic differentiation for compressive sensing in uncertainty quantification. (English)Zbl 1453.94032

MSC:  94A12 65C99
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### Mathematically rigorous global optimization in floating-point arithmetic. (English)Zbl 1398.65093

MSC:  65G20 65H20 65K05
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### Proximal gradient method with automatic selection of the parameter by automatic differentiation. (English)Zbl 1397.90362

MSC:  90C30 65K05
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### Automatic reformulation of ODEs to systems of first-order equations. (English)Zbl 1484.65166

MSC:  65L99 65L05
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### Handling ties correctly and efficiently in viterbi training using the viterbi semiring. (English)Zbl 06894757

Klein, Shmuel Tomi (ed.) et al., Language and automata theory and applications. 12th international conference, LATA 2018, Ramat Gan, Israel, April 9–11, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10792, 284-295 (2018).
MSC:  68Q45
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### Advanced interval tools for computing solutions of continuous games. (English)Zbl 1416.91019

MSC:  91A10 65Y05 91-04
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### About the power law of the PageRank vector component distribution. II: The Buckley-Osthus model, verification of the power law for this model, and setup of real search engines. (Russian, English)Zbl 1399.68010

Sib. Zh. Vychisl. Mat. 21, No. 1, 23-46 (2018); translation in Numer. Analysis Appl. 11, No. 1, 16-32 (2018).
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### Robust generation of constrained B-spline curves based on automatic differentiation and fairness optimization. (English)Zbl 1381.65011

MSC:  65D17 65D07 65D25
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### Adjoint Broyden methods for symmetric nonlinear equations. (English)Zbl 1474.65143

MSC:  65H10 65K05 90C26
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### Application of the fast automatic differentiation for calculation of gradients of material’s bulk modulus and shear modulus. (English)Zbl 1392.49004

MSC:  49J20 93C20
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### About the power law of the PageRank vector component distribution. I: Numerical methods for finding the PageRank vector. (Russian, English)Zbl 1399.68011

Sib. Zh. Vychisl. Mat. 20, No. 4, 359-378 (2017); translation in Numer. Analysis Appl. 10, No. 4, 299-312 (2017).
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MSC:  65D25
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### Multiscale gradient computation for flow in heterogeneous porous media. (English)Zbl 1375.76191

MSC:  76S05 76M12 65D25
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### Sparse automatic differentiation for complex networks of differential-algebraic equations using abstract elementary algebra. (English)Zbl 1380.65475

MSC:  65Y15 65D25 68N15
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### A nilpotent algebra approach to Lagrangian mechanics and constrained motion. (English)Zbl 1375.70067

MSC:  70H45 70G65 17B81
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### Automatic differentiation for Fourier series and the radii polynomial approach. (English)Zbl 1418.34094

MSC:  34C25 68W30
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### Design of the control set in the framework of variational data assimilation. (English)Zbl 1375.93072

MSC:  93C41 65D25
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### Automatic implementation of material laws: Jacobian calculation in a finite element code with TAPENADE. (English)Zbl 1368.65239

MSC:  65N30 65N22
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