Accurate Sampling with Noisy Forces from Approximate Computing

被引:6
作者
Rengaraj, Varadarajan [1 ,2 ]
Lass, Michael [2 ,3 ]
Plessl, Christian [2 ,3 ]
Kuhne, Thomas D. [1 ,4 ]
机构
[1] Paderborn Univ, Dept Chem, Dynam Condensed Matter, Warburger Str 100, D-33098 Paderborn, Germany
[2] Paderborn Univ, Dept Comp Sci, Warburger Str 100, D-33098 Paderborn, Germany
[3] Paderborn Univ, Paderborn Ctr Parallel Comp, Warburger Str 100, D-33098 Paderborn, Germany
[4] Paderborn Univ, Ctr Sustainable Syst Design, Warburger Str 100, D-33098 Paderborn, Germany
基金
欧洲研究理事会;
关键词
approximate computing; CP2K; fluctuation-dissipation theorem; FPGA; i-PI; low precision arithmetic; MOLECULAR-DYNAMICS; COMPUTATIONS; SIMULATIONS; HYBRID; MODELS; SYSTEM; JANUS;
D O I
10.3390/computation8020039
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In scientific computing, the acceleration of atomistic computer simulations by means of custom hardware is finding ever-growing application. A major limitation, however, is that the high efficiency in terms of performance and low power consumption entails the massive usage of low precision computing units. Here, based on the approximate computing paradigm, we present an algorithmic method to compensate for numerical inaccuracies due to low accuracy arithmetic operations rigorously, yet still obtaining exact expectation values using a properly modified Langevin-type equation.
引用
收藏
页数:11
相关论文
共 75 条
[1]  
Abraham PE, 2015, CYBERCONNECTING: THE THREE LENSES OF DIVERSITY, P1
[2]   PHASE TRANSITION FOR A HARD SPHERE SYSTEM [J].
ALDER, BJ ;
WAINWRIGHT, TE .
JOURNAL OF CHEMICAL PHYSICS, 1957, 27 (05) :1208-1209
[3]   General purpose molecular dynamics simulations fully implemented on graphics processing units [J].
Anderson, Joshua A. ;
Lorenz, Chris D. ;
Travesset, A. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (10) :5342-5359
[4]   A fast, hybrid, power-efficient high-precision solver for large linear systems based on low-precision hardware [J].
Angerer, C. M. ;
Polig, R. ;
Zegarac, D. ;
Giefers, H. ;
Hagleitner, C. ;
Bekas, C. ;
Curioni, A. .
SUSTAINABLE COMPUTING-INFORMATICS & SYSTEMS, 2016, 12 :72-82
[5]  
[Anonymous], 2015, INFORM SPEKTRUM
[6]  
[Anonymous], TESL P100 DAT SHEET
[7]  
[Anonymous], 2015, 32 ICML
[8]   Janus II: A new generation application-driven computer for spin-system simulations [J].
Baity-Jesi, M. ;
Banos, R. A. ;
Cruz, A. ;
Fernandez, L. A. ;
Gil-Narvion, J. M. ;
Gordillo-Guerrero, A. ;
Iniguez, D. ;
Maiorano, A. ;
Mantovani, F. ;
Marinari, E. ;
Martin-Mayor, V. ;
Monforte-Garcia, J. ;
Munoz Sudupe, A. ;
Navarro, D. ;
Parisi, G. ;
Perez-Gaviro, S. ;
Pivanti, M. ;
Ricci-Tersenghi, F. ;
Ruiz-Lorenzo, J. J. ;
Schifano, S. F. ;
Seoane, B. ;
Tarancon, A. ;
Tripiccione, R. ;
Yllanes, D. .
COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (02) :550-559
[9]   Environment-dependent interatomic potential for bulk silicon [J].
Bazant, MZ ;
Kaxiras, E ;
Justo, JF .
PHYSICAL REVIEW B, 1997, 56 (14) :8542-8552
[10]   Modeling of covalent bonding in solids by inversion of cohesive energy curves [J].
Bazant, MZ ;
Kaxiras, E .
PHYSICAL REVIEW LETTERS, 1996, 77 (21) :4370-4373