{"id":66137,"date":"2025-05-07T10:45:26","date_gmt":"2025-05-07T10:45:26","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85%d8%b3%d8%a7%d8%b2%db%8c-%d9%85%d8%b3%d8%a7%d8%a6%d9%84-%db%8c%d8%a7%d8%af\/"},"modified":"2025-05-07T10:45:26","modified_gmt":"2025-05-07T10:45:26","slug":"%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85%d8%b3%d8%a7%d8%b2%db%8c-%d9%85%d8%b3%d8%a7%d8%a6%d9%84-%db%8c%d8%a7%d8%af-66137","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85%d8%b3%d8%a7%d8%b2%db%8c-%d9%85%d8%b3%d8%a7%d8%a6%d9%84-%db%8c%d8%a7%d8%af-66137\/","title":{"rendered":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc \u0645\u0633\u0627\u0626\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u062e\u0637\u06cc"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nRegularization of linear machine learning problems<\/td>\n<\/tr>\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc \u0645\u0633\u0627\u0626\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u062e\u0637\u06cc<\/td>\n<\/tr>\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\nS. Liu, S. I. Kabanikhin, S. V. Strijhak<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nPDF<\/td>\n<\/tr>\n
\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u062a\u062d\u0648\u06cc\u0644\u06cc <\/td>\n\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 <\/td>\n\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\n<\/tr>\n
\u0646\u062d\u0648\u0647 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 <\/td>\n\u062f\u0648 \u062a\u0627 \u0633\u0647 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634 (\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u062f\u0627\u0646\u0644\u0648\u062f\u06cc)<\/td>\n<\/tr>\n
\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n39<\/td>\n<\/tr>\n
\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a <\/td>\nNumerical Analysis,\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0639\u062f\u062f\u06cc ,<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a <\/td>\nSubmitted 9 August, 2024; originally announced August 2024. , Comments: in Russian language<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0627\u0631\u0633\u0627\u0644 \u0634\u062f\u0647 \u062f\u0631 9 \u0627\u0648\u062a 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0627\u0648\u062a 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f. \u060c \u0646\u0638\u0631\u0627\u062a: \u0628\u0647 \u0632\u0628\u0627\u0646 \u0631\u0648\u0633\u06cc<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u06af\u0632\u06cc\u0646\u0647\u200c\u0647\u0627\u06cc \u062e\u0631\u06cc\u062f<\/h3>\n
\n

\u062f\u0627\u0646\u0644\u0648\u062f \u0645\u0642\u0627\u0644\u0647 \u0627\u0635\u0644 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/h4>\n

\u0628\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u06cc\u0646 \u06af\u0632\u06cc\u0646\u0647\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0641\u0627\u06cc\u0644 PDF \u0645\u0642\u0627\u0644\u0647 \u0627\u0635\u0644\u06cc \u0631\u0627 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u062f\u0627\u0646\u0644\u0648\u062f \u06a9\u0646\u06cc\u062f.<\/p>\n

\u0642\u06cc\u0645\u062a: 19,000 \u062a\u0648\u0645\u0627\u0646<\/p>\n<\/p><\/div>\n

\n

\u0633\u0641\u0627\u0631\u0634 \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647<\/h4>\n

\u0628\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u06cc\u0646 \u06af\u0632\u06cc\u0646\u0647\u060c \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0635\u0644\u06cc\u060c \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0631\u0627 \u0646\u06cc\u0632 \u0633\u0641\u0627\u0631\u0634 \u0645\u06cc\u200c\u062f\u0647\u06cc\u062f.<\/p>\n

\u0642\u06cc\u0645\u062a: 1,560,000 \u062a\u0648\u0645\u0627\u0646<\/p>\n

\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644: 2 \u062a\u0627 3 \u0631\u0648\u0632 \u06a9\u0627\u0631\u06cc<\/p>\n<\/p><\/div>\n<\/p><\/div>\n\r\n\r\n \r\n \r\n \r\n \r\n
\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n <\/tr>\r\n
\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n <\/tr>\r\n\t
\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 <\/td>\r\n \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n <\/tr>\r\n\t\t
\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 <\/td>\r\n \u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n <\/tr>\r\n<\/table>\r\n\r\n\n

\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n

In this paper, we consider the simplest version of a linear neural network (LNN). Assuming that for training (constructing an optimal weight matrix $Q$) we have a set of training pairs, i.e. we know the input data begin{equation} G=left{g^{left(1right)},g^{left(2right)},cdots,g^{left(Kright)}right}, end{equation} as well as the correct answers to these input data begin{equation} H=left{h^{left(1right)},h^{left(2right)},cdots,h^{left(Kright)}right}. end{equation} We will study the possibilities of constructing a weight matrix $Q$ of a neural network that will give correct answers to arbitrary input data based on the connection of the specified problem with a system of linear algebraic equations (SLAE). Consider a class of neural networks in which each neuron has only one output signal and performs linear operations. We will show how such LNEs are reduced to SLAEs. Since the questions $G$ and the correct answers $H$ are known to us, the desired weight matrix $Q$ must satisfy the equations begin{equation} Qg^{left(kright)}=h^{left(kright)}, k=1,2,cdots,K. end{equation} It is required to restore $Q$. In the general case, the matrix $Q$ is rectangular $Q=Q_{MN}=left{q_{mn}right}$, $m$ is the row number, and $g^{left(kright)}inmathbb{R}^N$, $h^{left(kright)}inmathbb{R}^M$. Let $G_{NK}$ be a matrix composed of columns $g^{left(1right)}, g^{left(2right)},cdots,g^{left(kright)}$, and $H_{MK}$ be a matrix composed of columns $h^{left(1right)},h^{left(2right)},cdots,h^{left(kright)}$. Then, with respect to $Q_{MN}$, we obtain a matrix SLAE. begin{equation} Q_{MN}G_{NK}=H_{MK}. end{equation} This paper will present methods for regularizing the constructed system.<\/p>\n

\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n

\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u060c \u0633\u0627\u062f\u0647 \u062a\u0631\u06cc\u0646 \u0646\u0633\u062e\u0647 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u062e\u0637\u06cc (LNN) \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645.\u0628\u0627 \u0641\u0631\u0636 \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0631\u0627\u06cc \u0622\u0645\u0648\u0632\u0634 (\u0633\u0627\u062e\u062a \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648\u0632\u0646 \u0628\u0647\u06cc\u0646\u0647 $ q $) \u0645\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u06cc \u0627\u0632 \u062c\u0641\u062a \u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u062f\u0627\u0631\u06cc\u0645 \u060c \u06cc\u0639\u0646\u06cc \u0645\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0645\u06cc \u0634\u0646\u0627\u0633\u06cc\u0645 \u0634\u0631\u0648\u0639 {\u0645\u0639\u0627\u062f\u0644\u0647} g = {g^{ \u0633\u0645\u062a \u0686\u067e (1 \u0631\u0627\u0633\u062a)}\u060c g^{ \u0633\u0645\u062a \u0686\u067e (2 \u0631\u0627\u0633\u062a)} \u060c cdots \u060c g^{ \u0633\u0645\u062a \u0686\u067e (k \u0631\u0627\u0633\u062a)} \u0631\u0627\u0633\u062a } \u060c end {\u0645\u0639\u0627\u062f\u0644\u0647} \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u067e\u0627\u0633\u062e \u0647\u0627\u06cc \u0635\u062d\u06cc\u062d \u0627\u06cc\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0634\u0631\u0648\u0639 {\u0634\u0631\u0648\u0639 \u06a9\u0646\u06cc\u062f {\u0645\u0639\u0627\u062f\u0644\u0647} H = {H^{ Left (1 RIGHT)} \u060c H^{ LEFT (2 RIGHT)} \u060c CDOTS \u060c H^{ LEFT (K RIGHT)} RIGHT }\u0628\u0634\u0631 end {\u0645\u0639\u0627\u062f\u0644\u0647} \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0633\u0627\u062e\u062a \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648\u0632\u0646 $ q $ \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0639\u0635\u0628\u06cc \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u06a9\u0647 \u067e\u0627\u0633\u062e \u0647\u0627\u06cc \u0635\u062d\u06cc\u062d\u06cc \u0628\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u062f\u0644\u062e\u0648\u0627\u0647 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u062a\u0635\u0627\u0644 \u0645\u0634\u06a9\u0644 \u0645\u0634\u062e\u0635 \u0634\u062f\u0647 \u0628\u0627 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0628\u0631\u06cc \u062e\u0637\u06cc (SLAE) \u0645\u06cc \u062f\u0647\u062f.\u06cc\u06a9 \u06a9\u0644\u0627\u0633 \u0627\u0632 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0647\u0631 \u0646\u0648\u0631\u0648\u0646 \u0641\u0642\u0637 \u06cc\u06a9 \u0633\u06cc\u06af\u0646\u0627\u0644 \u062e\u0631\u0648\u062c\u06cc \u062f\u0627\u0631\u062f \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u062e\u0637\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u062f.\u0645\u0627 \u0646\u0634\u0627\u0646 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0686\u0646\u06cc\u0646 LNE \u0647\u0627 \u0628\u0647 SLAE \u0647\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc \u06cc\u0627\u0628\u062f.\u0627\u0632 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0633\u0624\u0627\u0644\u0627\u062a $ g $ \u0648 \u067e\u0627\u0633\u062e \u0647\u0627\u06cc \u0635\u062d\u06cc\u062d $ h $ \u0628\u0631\u0627\u06cc \u0645\u0627 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u060c \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648\u0632\u0646 \u0645\u0648\u0631\u062f \u0646\u0638\u0631 $ q $ \u0628\u0627\u06cc\u062f \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0627 \u0628\u0631\u0622\u0648\u0631\u062f\u0647 \u06a9\u0646\u062f \u0634\u0631\u0648\u0639 {\u0645\u0639\u0627\u062f\u0644\u0647} qg^{ \u0633\u0645\u062a \u0686\u067e (k \u0631\u0627\u0633\u062a)} = h^{\u0633\u0645\u062a \u0686\u067e (k \u0631\u0627\u0633\u062a)} \u060c k = 1\u060c2 \u060c cdots \u060c k. end {\u0645\u0639\u0627\u062f\u0644\u0647} \u0644\u0627\u0632\u0645 \u0627\u0633\u062a $ q $ \u0631\u0627 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u062f.\u062f\u0631 \u062d\u0627\u0644\u062a \u06a9\u0644\u06cc \u060c \u0645\u0627\u062a\u0631\u06cc\u0633 $ q $ \u0645\u0633\u062a\u0637\u06cc\u0644 $ q = q_ {mn} = {q_ {mn} reft } $ \u060c $ m $ \u0634\u0645\u0627\u0631\u0647 \u0631\u062f\u06cc\u0641 \u0627\u0633\u062a \u060c \u0648 $ g^{ \u0633\u0645\u062a \u0686\u067e (\u0633\u0645\u062a \u0686\u067e (k RIGHT)} in Mathbb {r}^n $ \u060c $ h^{ \u0633\u0645\u062a \u0686\u067e (k \u0631\u0627\u0633\u062a)} in mathbb {r}^m $.\u0628\u06af\u0630\u0627\u0631\u06cc\u062f $ g_ {nk} $ \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0634\u062f \u06a9\u0647 \u0627\u0632 \u0633\u062a\u0648\u0646 \u0647\u0627\u06cc $ g^{ \u0633\u0645\u062a \u0686\u067e (1 \u0631\u0627\u0633\u062a)} \u060c g^{ \u0633\u0645\u062a \u0686\u067e (2 \u0631\u0627\u0633\u062a)} \u060c cdots \u060c g^{ \u0633\u0645\u062a \u0686\u067e (k \u0631\u0627\u0633\u062a (k \u0631\u0627\u0633\u062a) \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a.)} $ \u060c \u0648 $ h_ {mk} $ \u0645\u0627\u062a\u0631\u06cc\u0633 \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0632 \u0633\u062a\u0648\u0646 \u0647\u0627\u06cc $ h^{ \u0633\u0645\u062a \u0686\u067e (1 \u0631\u0627\u0633\u062a)} \u060c h^{ \u0633\u0645\u062a \u0686\u067e (2 \u0631\u0627\u0633\u062a)} \u060c cdots \u060c h^{ \u0633\u0645\u062a \u0686\u067e(K RIGHT)} $.\u0633\u067e\u0633 \u060c \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 $ q_ {mn} $ \u060c \u0645\u0627 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 SLAE \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645. \u0634\u0631\u0648\u0639 {\u0645\u0639\u0627\u062f\u0644\u0647} q_ {mn} g_ {nk} = h_ {mk}. end {\u0645\u0639\u0627\u062f\u0644\u0647} \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0631\u0648\u0634 \u0647\u0627\u06cc\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0646\u0638\u06cc\u0645 \u0633\u06cc\u0633\u062a\u0645 \u0633\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n\r\n\r\n \r\n \r\n \r\n \r\n
\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n <\/tr>\r\n
\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n <\/tr>\r\n\t
\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 <\/td>\r\n \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n <\/tr>\r\n\t\t
\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 <\/td>\r\n \u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n <\/tr>\r\n<\/table>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"

\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Regularization of linear machine learning problems \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc \u0645\u0633\u0627\u0626\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc […]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}}},"product_cat":[511,1158],"product_tag":[],"class_list":{"0":"post-66137","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-511","7":"product_cat-1158","8":"pmpro-has-access","9":"desktop-align-left","10":"tablet-align-left","11":"mobile-align-left","13":"first","14":"instock","15":"shipping-taxable","16":"purchasable","17":"product-type-variable"},"yoast_head":"\n\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645\u200c\u0633\u0627\u0632\u06cc \u0645\u0633\u0627\u0626\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u062e\u0637\u06cc - 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