The Representation Theory of Neural Networks
نویسندگان
چکیده
In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, prove a network is representation with activation functions, object represent using quiver. Furthermore, quivers gently adapt to common concepts such as fully connected layers, convolution operations, residual connections, batch normalization, pooling operations and even randomly wired networks. We by no means an approximation what are it exactly matches reality. This interpretation algebraic studied methods. also provide model understand how creates representations from data. saves data representations, maps geometrical space called moduli space, which given in terms underlying oriented graph network, i.e., its results consequence our defined objects understanding computes prediction combinatorial way. Overall, representing through leads 9 consequences 4 inquiries for future research believe great interest better they work.
منابع مشابه
Representation Theory and Invariant Neural Networks
A feedforward neural network is a computational device used for pattern recognition. In many recognition problems, certain transformations exist which, when applied to a pattern, leave its classification unchanged. Invariance under a given group of transformations is therefore typically a desirable property of pattern classifiers. In this paper, we present a methodology, based on representation...
متن کاملthe analysis of the role of the speech acts theory in translating and dubbing hollywood films
از محوری ترین اثراتی که یک فیلم سینمایی ایجاد می کند دیالوگ هایی است که هنرپیش گان فیلم میگویند. به زعم یک فیلم ساز, یک شیوه متأثر نمودن مخاطب از اثر منظوره نیروی گفتارهای گوینده, مثل نیروی عاطفی, ترس آور, غم انگیز, هیجان انگیز و غیره, است. این مطالعه به بررسی این مسأله مبادرت کرده است که آیا نیروی فراگفتاری هنرپیش گان به مثابه ی اعمال گفتاری در پنج فیلم هالیوودی در نسخه های دوبله شده باز تولید...
15 صفحه اولheterogeneity within the orientalist discourse: representation of the orient in womens travelogues and mens paintings
from 1950s onward, new theories and critical approaches burgeoned across humanities. these theories were context-oriented; as a result, the analysis of discursive practices gained significance. thus, social, political, historical and cultural discourses that have been hitherto marginalized and considered inferior to literary texts, were introduced as important texts to be analyzed by critics. o...
Symbolic Representation of Neural Networks
Although backpropagation neural networks generally predict better than decision trees do for pattern classiication problems, they are often regarded as black boxes, i.e., their predictions cannot be explained as those of decision trees. In many applications, more often than not, explicit knowledge is needed by human experts. This work drives a symbolic representation for neural networks to make...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9243216