
{"id":62376,"date":"2025-04-09T14:19:13","date_gmt":"2025-04-09T14:19:13","guid":{"rendered":""},"modified":"2025-04-09T14:19:13","modified_gmt":"2025-04-09T14:19:13","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%87-62376","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%87-62376\/","title":{"rendered":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>Explore-then-Commit Algorithms for Decentralized Two-Sided Matching Markets<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>Tejas Pagare, Avishek Ghosh<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u062a\u062d\u0648\u06cc\u0644\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 <\/td>\n<td>\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u062d\u0648\u0647 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 <\/td>\n<td>\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<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>19<\/td>\n<\/tr>\n<tr>\n<td>\u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0631\u0627\u06cc\u06af\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<td><a href=\"https:\/\/arxiv.org\/pdf\/2408.08690\">\u062f\u0627\u0646\u0644\u0648\u062f \u0645\u0642\u0627\u0644\u0647<\/a><\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Machine Learning,Computer Science and Game Theory,General Economics,Machine Learning,\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 , \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0648 \u0646\u0638\u0631\u06cc\u0647 \u0628\u0627\u0632\u06cc , \u0627\u0642\u062a\u0635\u0627\u062f \u0639\u0645\u0648\u0645\u06cc , \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 ,<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 16 August, 2024; originally announced August 2024. , Comments: Accepted at International Symposium of Information Theory (ISIT) 2024<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 16 \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: \u067e\u0630\u06cc\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0633\u0645\u067e\u0648\u0632\u06cc\u0648\u0645 \u0628\u06cc\u0646 \u0627\u0644\u0645\u0644\u0644\u06cc \u0646\u0638\u0631\u06cc\u0647 \u0627\u0637\u0644\u0627\u0639\u0627\u062a (ISIT) 2024<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u067e\u0627\u06cc\u06af\u0627\u0647 \u0647\u0627\u06cc \u0639\u0644\u0645\u06cc      <\/td>\n<td>\n            <a href=\"https:\/\/inspirehep.net\/arxiv\/2408.08690\">INSPIRE HEP<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/ui.adsabs.harvard.edu\/abs\/arXiv:2408.08690\">NASA ADS<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/scholar.google.com\/scholar_lookup?arxiv_id=2408.08690\">Google Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/api.semanticscholar.org\/arXiv:2408.08690\">Semantic Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/arxiv.org\/abs\/2408.08690>arXiv<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\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<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\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<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\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<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">Online learning in a decentralized two-sided matching markets, where the demand-side (players) compete to match with the supply-side (arms), has received substantial interest because it abstracts out the complex interactions in matching platforms (e.g. UpWork, TaskRabbit). However, past works assume that each arm knows their preference ranking over the players (one-sided learning), and each player aim to learn the preference over arms through successive interactions. Moreover, several (impractical) assumptions on the problem are usually made for theoretical tractability such as broadcast player-arm match Liu et al. (2020; 2021); Kong &#038; Li (2023) or serial dictatorship Sankararaman et al. (2021); Basu et al. (2021); Ghosh et al. (2022). In this paper, we study a decentralized two-sided matching market, where we do not assume that the preference ranking over players are known to the arms apriori. Furthermore, we do not have any structural assumptions on the problem. We propose a multi-phase explore-then-commit type algorithm namely epoch-based CA-ETC (collision avoidance explore then commit) (\\texttt{CA-ETC} in short) for this problem that does not require any communication across agents (players and arms) and hence decentralized. We show that for the initial epoch length of $T_{\\circ}$ and subsequent epoch-lengths of $2^{l\/\u03b3} T_{\\circ}$ (for the $l-$th epoch with $\u03b3\\in (0,1)$ as an input parameter to the algorithm), \\texttt{CA-ETC} yields a player optimal expected regret of $\\mathcal{O}\\left(T_{\\circ} (\\frac{K \\log T}{T_{\\circ} \u0394^2})^{1\/\u03b3} + T_{\\circ} (\\frac{T}{T_{\\circ}})^\u03b3\\right)$ for the $i$-th player, where $T$ is the learning horizon, $K$ is the number of arms and $\u0394$ is an appropriately defined problem gap. Furthermore, we propose a blackboard communication based baseline achieving logarithmic regret in $T$.<\/p>\n<h2>\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<p>\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0622\u0646\u0644\u0627\u06cc\u0646 \u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u060c \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0637\u0631\u0641 \u062a\u0642\u0627\u0636\u0627 (\u0628\u0627\u0632\u06cc\u06a9\u0646\u0627\u0646) \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0628\u0642\u062a \u0628\u0627 \u0637\u0631\u0641 \u0639\u0631\u0636\u0647 (ARMS) \u0631\u0642\u0627\u0628\u062a \u0645\u06cc \u06a9\u0646\u0646\u062f \u060c \u0639\u0644\u0627\u0642\u0647 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u06a9\u0633\u0628 \u06a9\u0631\u062f\u0647 \u0627\u0633\u062a \u0632\u06cc\u0631\u0627 \u0627\u06cc\u0646 \u0627\u0645\u0631 \u062a\u0639\u0627\u0645\u0644 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0631\u0627 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0639\u0627\u0645\u0644 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u0645\u06cc \u062f\u0647\u062f (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 Upwork \u060c TaskRabbit).\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u060c \u0622\u062b\u0627\u0631 \u06af\u0630\u0634\u062a\u0647 \u0641\u0631\u0636 \u0645\u06cc \u06a9\u0646\u0646\u062f \u06a9\u0647 \u0647\u0631 \u0628\u0627\u0632\u0648 \u0631\u062a\u0628\u0647 \u0627\u0648\u0644\u0648\u06cc\u062a \u062e\u0648\u062f \u0631\u0627 \u0646\u0633\u0628\u062a \u0628\u0647 \u0628\u0627\u0632\u06cc\u06a9\u0646\u0627\u0646 (\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u06cc\u06a9 \u0637\u0631\u0641\u0647) \u0645\u06cc \u062f\u0627\u0646\u062f \u060c \u0648 \u0647\u0631 \u0628\u0627\u0632\u06cc\u06a9\u0646 \u0642\u0635\u062f \u062f\u0627\u0631\u062f \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062a\u0639\u0627\u0645\u0644 \u067e\u06cc \u062f\u0631 \u067e\u06cc \u060c \u062a\u0631\u062c\u06cc\u062d \u0631\u0627 \u0628\u0631 \u0628\u0627\u0632\u0648\u0647\u0627 \u0628\u06cc\u0627\u0645\u0648\u0632\u062f.\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u060c \u0686\u0646\u062f\u06cc\u0646 \u0641\u0631\u0636 (\u063a\u06cc\u0631 \u0639\u0645\u0644\u06cc) \u062f\u0631 \u0645\u0648\u0631\u062f \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0631\u0627\u06cc \u0642\u0627\u0628\u0644\u06cc\u062a \u062a\u063a\u06cc\u06cc\u0631 \u0646\u0638\u0631\u06cc \u0645\u0627\u0646\u0646\u062f \u0628\u0627\u0632\u06cc \u067e\u062e\u0634 \u06a9\u0646\u0646\u062f\u0647 \u0628\u0627\u0632\u0648\u06cc \u067e\u062e\u0634 \u06a9\u0646\u0646\u062f\u0647 \u0644\u06cc\u0648 \u0648 \u0647\u0645\u06a9\u0627\u0631\u0627\u0646 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f.(2020 \u061b 2021) \u061b\u06a9\u0646\u06af \u0648 \u0644\u06cc (2023) \u06cc\u0627 \u062f\u06cc\u06a9\u062a\u0627\u062a\u0648\u0631\u06cc \u0633\u0631\u06cc\u0627\u0644 Sankararaman \u0648 \u0647\u0645\u06a9\u0627\u0631\u0627\u0646.(2021) \u061b\u0628\u0627\u0633\u0648 \u0648 \u0647\u0645\u06a9\u0627\u0631\u0627\u0646.(2021) \u061b\u0642\u0648\u0634 \u0648 \u0647\u0645\u06a9\u0627\u0631\u0627\u0646.(2022).\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u060c \u0645\u0627 \u06cc\u06a9 \u0628\u0627\u0632\u0627\u0631 \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0645\u0637\u0627\u0644\u0639\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0641\u0631\u0636 \u0646\u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0631\u062a\u0628\u0647 \u0627\u0648\u0644\u0648\u06cc\u062a \u0646\u0633\u0628\u062a \u0628\u0647 \u0628\u0627\u0632\u06cc\u06a9\u0646\u0627\u0646 \u0628\u0647 Apriori Arms \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u060c \u0645\u0627 \u0647\u06cc\u0686 \u0641\u0631\u0636\u06cc\u0647 \u0633\u0627\u062e\u062a\u0627\u0631\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u0646\u062f\u0627\u0631\u06cc\u0645.\u0645\u0627 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0646\u0648\u0639 \u0686\u0646\u062f \u0641\u0627\u0632 \u0627\u06a9\u062a\u0634\u0627\u0641-\u067e\u0633 \u0627\u0632 \u0622\u0646 \u0631\u0627 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06cc\u0639\u0646\u06cc CA-ETC \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u062f\u0648\u0631\u0647 (Collision Porperance Explore \u0633\u067e\u0633 \u062a\u0639\u0647\u062f) (\\ texttt {ca-etc}) \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u06a9\u0647 \u0646\u06cc\u0627\u0632\u06cc \u0628\u0647 \u0627\u0631\u062a\u0628\u0627\u0637\u06cc \u062f\u0631 \u0628\u06cc\u0646 \u0639\u0648\u0627\u0645\u0644 \u0646\u062f\u0627\u0631\u062f (\u0628\u0627\u0632\u06cc\u06a9\u0646\u0627\u0646 \u0648 \u0628\u0627\u0632\u0648\u0647\u0627) \u0648 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648 \u063a\u06cc\u0631 \u0645\u062a\u0645\u0631\u06a9\u0632 \u0627\u0633\u062a.\u0645\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0637\u0648\u0644 \u062f\u0648\u0631\u0647 \u0627\u0648\u0644\u06cc\u0647 $ t _ {\\ circ} $ \u0648 \u0637\u0648\u0644 \u062f\u0648\u0631\u0647 \u0647\u0627\u06cc \u0628\u0639\u062f\u06cc 2^{l\/\u03b3} t _ {\\ circ} $ (\u0628\u0631\u0627\u06cc \u062f\u0648\u0631\u0647 $ l- $ \u0628\u0627 $ \u03b3 \\ in (\u062f\u0631 (0\u060c1) $ \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0648\u0631\u0648\u062f\u06cc \u0628\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645) \u060c \\ texttt {ca-etc} \u06cc\u06a9 \u0628\u0627\u0632\u06cc\u06a9\u0646 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0632 \u067e\u0634\u06cc\u0645\u0627\u0646\u06cc \u0627\u0646\u062a\u0638\u0627\u0631 \u0645\u06cc \u0631\u0648\u062f \u0627\u0632 $ \\ mathcal {o} \\ \u0633\u0645\u062a \u0686\u067e (t _ {\\ circ} (\\ frac \\ log t \\ log t \\ log t \\ log t \\ log t \\} {t _ {\\ circ} \u0394^2})^{1\/\u03b3} + t _ {\\ circ} (\\ frac {t} {t _ {{\\ circ})^\u03b3 \\ RIGHT) $ \u0628\u0631\u0627\u06cc $ i $-\u0628\u0627\u0632\u06cc\u06a9\u0646 TH \u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 $ t $ \u0627\u0641\u0642 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0627\u0633\u062a \u060c $ k $ \u062a\u0639\u062f\u0627\u062f \u0627\u0633\u0644\u062d\u0647 \u0627\u0633\u062a \u0648 $ \u03b4 $ \u06cc\u06a9 \u0634\u06a9\u0627\u0641 \u0645\u0634\u06a9\u0644 \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a.\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u060c \u0645\u0627 \u06cc\u06a9 \u067e\u0627\u06cc\u0647 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u062a\u062e\u062a\u0647 \u0633\u06cc\u0627\u0647 \u0631\u0627 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0647 \u067e\u0634\u06cc\u0645\u0627\u0646\u06cc \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u062f\u0631 $ t $ \u062f\u0633\u062a \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\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<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\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<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\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":"<p>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Explore-then-Commit Algorithms for Decentralized Two-Sided Matching Markets \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 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc [&hellip;]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"open","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","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":"","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":[21],"product_tag":[],"class_list":{"0":"post-62376","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-21","7":"pmpro-has-access","8":"desktop-align-left","9":"tablet-align-left","10":"mobile-align-left","12":"first","13":"instock","14":"downloadable","15":"shipping-taxable","16":"purchasable","17":"product-type-simple"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-62376\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:description\" content=\"\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Explore-then-Commit Algorithms for Decentralized Two-Sided Matching Markets \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 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-62376\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:image\" content=\"https:\/\/express24.ir\/d\/wp-content\/uploads\/2024\/02\/Elsevier_logo_2019.svg_.png\" \/>\n\t<meta property=\"og:image:width\" content=\"440\" \/>\n\t<meta property=\"og:image:height\" content=\"486\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"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%87-62376\/\",\"url\":\"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%87-62376\/\",\"name\":\"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"isPartOf\":{\"@id\":\"https:\/\/express24.ir\/d\/#website\"},\"datePublished\":\"2025-04-09T14:19:13+00:00\",\"dateModified\":\"2025-04-09T14:19:13+00:00\",\"breadcrumb\":{\"@id\":\"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%87-62376\/#breadcrumb\"},\"inLanguage\":\"fa-IR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"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%87-62376\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"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%87-62376\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u062e\u0627\u0646\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/express24.ir\/d\/#website\",\"url\":\"https:\/\/express24.ir\/d\/\",\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/express24.ir\/d\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"fa-IR\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-62376\/","og_locale":"fa_IR","og_type":"article","og_title":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","og_description":"\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Explore-then-Commit Algorithms for Decentralized Two-Sided Matching Markets \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 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc [&hellip;]","og_url":"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-62376\/","og_site_name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","og_image":[{"width":440,"height":486,"url":"https:\/\/express24.ir\/d\/wp-content\/uploads\/2024\/02\/Elsevier_logo_2019.svg_.png","type":"image\/png"}],"twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"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%87-62376\/","url":"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%87-62376\/","name":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","isPartOf":{"@id":"https:\/\/express24.ir\/d\/#website"},"datePublished":"2025-04-09T14:19:13+00:00","dateModified":"2025-04-09T14:19:13+00:00","breadcrumb":{"@id":"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%87-62376\/#breadcrumb"},"inLanguage":"fa-IR","potentialAction":[{"@type":"ReadAction","target":["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%87-62376\/"]}]},{"@type":"BreadcrumbList","@id":"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%87-62376\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u062e\u0627\u0646\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":2,"name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":3,"name":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u0627\u0631\u0647\u0627\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0648 \u0637\u0631\u0641\u0647 \u06a9\u0634\u0641 \u06a9\u0646\u06cc\u062f"}]},{"@type":"WebSite","@id":"https:\/\/express24.ir\/d\/#website","url":"https:\/\/express24.ir\/d\/","name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/express24.ir\/d\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"fa-IR"}]}},"_links":{"self":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product\/62376","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/comments?post=62376"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media\/27"}],"wp:attachment":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media?parent=62376"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_cat?post=62376"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_tag?post=62376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}