Implementation of 14 bits floating point numbers of calculating units for neural network hardware development

An important aspect of modern automation is machine learning. Specifically, neural networks are used for environment analysis and decision making based on available data. This article covers the most frequently performed operations on floating-point numbers in artificial neural networks. Also, a selection of the optimum value of the bit to 14-bit floating-point numbers for implementation on FPGAs was submitted based on the modern architecture of integrated circuits. The description of the floating-point multiplication (multiplier) algorithm was presented. In addition, features of the addition (adder) and subtraction (subtractor) operations were described in the article. Furthermore, operations for such variety of neural networks as a convolution network - mathematical comparison of a floating point ('less than' and 'greater than or equal') were presented. In conclusion, the comparison with calculating units of Atlera was made

Implementation of 14 bits floating point numbers of calculating units for neural network hardware development

An important aspect of modern automation is machine learning. Specifically, neural networks are used for environment analysis and decision making based on available data. This article covers the most frequently performed operations on floating-point numbers in artificial neural networks. Also, a selection of the optimum value of the bit to 14-bit floating-point numbers for implementation on FPGAs was submitted based on the modern architecture of integrated circuits. The description of the floating-point multiplication (multiplier) algorithm was presented. In addition, features of the addition (adder) and subtraction (subtractor) operations were described in the article. Furthermore, operations for such variety of neural networks as a convolution network - mathematical comparison of a floating point ('less than' and 'greater than or equal') were presented. In conclusion, the comparison with calculating units of Atlera was made

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific

Unity and diversity in grammaticalization scenarios

The volume contains a selection of papers originally presented at the symposium on “Areal patterns of grammaticalization and cross-linguistic variation in grammaticalization scenarios” held on 12-14 March 2015 at Johannes Gutenberg University of Mainz. The papers, written by leading scholars combining expertise in historical linguistics and grammaticalization research, study variation in grammaticalization scenarios in a variety of language families (Slavic, Indo-Aryan, Tibeto-Burman, Bantu, Mande, "Khoisan", Siouan, and Mayan). The volume stands out in the vast literature on grammaticalization by focusing on variation in grammaticalization scenarios and areal patterns in grammaticalization. Apart from documenting new grammaticalization paths, the volume makes a methodological contribution as it addresses an important question of how to reconcile universal outcomes of grammaticalization processes with the fact that the input to these processes is language-specific and construction-specific