FixCaffe: Training CNN with Low Precision Arithmetic Operations by Fixed Point Caffe

Author(s):  
Shasha Guo ◽  
Lei Wang ◽  
Baozi Chen ◽  
Qiang Dou ◽  
Yuxing Tang ◽  
...  
2021 ◽  
Vol 12 (7) ◽  
pp. 350-357
Author(s):  
S. S. Shevelev ◽  

A device has been developed that performs logical and arithmetic operations, which can be used to create high-performance, high-speed computing systems. Specialized blocks perform logical operations: AND, OR, NOT, arith­metic operations: addition and subtraction of binary numbers. Arithmetic operations are performed in direct fixed-point codes. The device is presented in the form of a structural scheme, structural and functional schemes of blocks and an algorithm for the operation of the device.


10.14311/692 ◽  
2005 ◽  
Vol 45 (2) ◽  
Author(s):  
M. Bečvář ◽  
P. Štukjunger

Arithmetic operations are among the most frequently-used operations in contemporary digital integrated circuits. Various structures have been designed, utilizing different features of IC architectures. Nevertheless, there are very few studies that consider the design of arithmetic operations in Field Programmable Gate Arrays (FPGAs), a re-programmable type of digital integrated circuit. This text compares the results achieved when implementation of basic fixed-point arithmetic units in FPGA. 


2018 ◽  
pp. 64-70
Author(s):  
Артём Евгеньевич Перепелицын

A classification of project flexibility ways provided in VHDL language is proposed. The results of the analysis of the dependence of the FPGA resources required for the implementation of arithmetic blocks are presented. The peculiarities of implementation of FPGA arithmetic operations with a fixed point are analyzed. The analytical ratios of the of logical elements number for the Altera FPGA from the input data width of the arithmetic blocks are given. The results of an experimental study of the dependence of required FPGA resources amount for parametrizable arithmetic blocks implementation are given. It is demonstrated that in case if build-in hardware-implemented multipliers are available, the required FPGA resources amount for integer multiplier implementation changes with abrupt shape with adding one additional bit to input data width. Definitions of static parametrization, through parameterization and multiparametrization of FPGA projects are given. The ways of wide-parameterizable FPGA projects development are discussed. It is recommended to use parameterization to maximize the efficiency of FPGA resources usage. The technique of multiparametrized FPGA-based projects development is proposed. The technique of evaluating of the required FPGA resources amount for implementation of a multiparametrized project is proposed. A practical example of the use of the described method of multiparametrized FPGA-based projects development is proposed. The example includes the FPGA implementation of multiply-accumulate operations


Author(s):  
Rémi L. Capa ◽  
Gaëlle M. Bustin ◽  
Axel Cleeremans ◽  
Michel Hansenne

The present study investigates whether updating an important function of executive control can be driven by unconscious reward cues. Participants had to memorize several numbers and update those numbers independently according to a sequence of arithmetic operations. At the beginning of each trial, a reward (1 euro or 5 cents) was presented, either subliminally or supraliminally. Participants could earn the reward if they found the correct response on the updating task. Results showed better performance when a high (conscious or unconscious) reward was at stake compared to a low reward. This suggests that subliminal information can influence a component process of executive control traditionally thought to require consciousness.


2003 ◽  
Author(s):  
Robin R. Vallacher ◽  
Andrzej Nowak ◽  
Matthew Rockloff
Keyword(s):  

2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.


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