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LOS ANGELES – The United States men’s national team will have to wait until March for its first win of 2023.
After a 2-1 loss to Serbia on Wednesday, a fully rotated starting XI didn’t offer the same quality across the pitch to find that one crucial goal against Colombia, which ended in a 0-0 draw on Saturday .
Paxten Aaronson, making his first USMNT appearance, had two marquee chances to go in front in the first half, with Matthew Hoppe also having one. Jesus Ferreira offered the best moment just at the hour mark, but failed to get a shot off.
With the scoreless tie against Los Cafeteros in the books, let’s delve into some broader takeaways from the contest:
As the search for a new USMNT manager could take until summer with Gregg Berhalter’s future in limbo, it’ll be interesting to see how long Hudson’s stay lasts. He’ll be disappointed not to see a “W” on the team’s calendar against two teams the U.S. probably should’ve beaten, but he didn't do himself too many favors, especially in the second game. 
With 10 minutes to go and a chance to put all the chips on the table against a mostly reserved-filled Colombia side with a loss meaning nothing, he brought on 29-year-old right back Julian Gressel when the game desperately needed more directness in attack. The U.S. played most of the second half in either midfield or in their own defensive third, with youngsters like Cade Cowell, who shined on Wednesday, sitting on the bench.
The next two USMNT games aren’t until March, which is the CONCACAF Nations League. If Hudson is still the man roaming the touchline, he’ll have the team’s biggest stars at his disposal with it being a FIFA-recognized international break compared to January. That could give him an improved opportunity to show his managerial skills with better talent, but his overall coaching record doesn’t take his side in the battle. 
Games like these should have the youngsters playing more. LA Galaxy’s 19-year-old center back Jalen Neal got the start against Serbia and shone apart from one mistake, but Hudson went with the veteran duo of Zimmerman and Long against Colombia, which does little to give the youth a pathway.
Zimmerman and Long were both fortunate to not see their mistakes end in a Colombia goal within the game’s opening minutes, and their ball-playing abilities just haven’t enhanced, no matter how much it’s forced. Neal and Sam Rogers, who earned his first cap off the bench in place of Long, should be two of the youngsters getting more reps with their potential being far higher than the former pairing.
Zimmerman and Long are solid in duels and defending in their own box, but that’s the borderline ability a center back should have. Other than providing those traits and veteran expertise, they don’t level up the USMNT.
The FC Dallas forward got on the pitch for the first time in January after being an unused substitute against Serbia, but it ended as an underwhelming outing. He exited in the 63rd minute and will regret not getting a shot off just four minutes prior after Paul Arriola’s set up from the right flank.
Ferreira ended the game with no shots, one dribble attempt that failed, 18 touches, two out of eight ground duels won and 9-for-11 completed passes, with one being a sizzling through ball that should’ve been an assist to Hoppe after a powerless strike. Still, Ferreira didn’t do himself any favors in the ongoing search for the USMNT’s starting No. 9. 
The 5-foot-9, 139-pound 19-year-old, whose older brother is Leeds United key man Brenden, earned his first cap on Saturday. Having just recently inked a move to Eintracht Frankfurt of the Bundesliga, it became evident why the German side pursued his signature.
At that frame, thriving – let alone playing – in a midfield role is extremely strenuous. Hudson played Paxten on the left side of a 4-3-3 shape, with Aaronson taking up more advanced zones where he could cut in on his stronger right foot. Those opportunities presented themselves in the first half, but he couldn’t find the back of the net. 
The second half required him to do more defensive work, and he looked up to the task. He never shied away from contact, winning nine of 19 ground duels against physical midfielders and adding five tackles and two clearances to his name. Whether that’s his long-term position is up in the air, and he could also occupy the same zones on the opposite side, but there’s a player here for the future. Seeing him get minutes alongside Brenden would be riveting, and it's a positive sign to see him play all 90 minutes in the taxing position.
Going into the World Cup in Qatar, plenty of attention followed Antonee Robinson’s health. Without him storming up and down the left flank supplying attacking help, the team just didn’t have the same width and balance. 
But 20-year-old John Tolkin may be the name that bestows that much-needed depth. He was a player to watch coming into January, but didn’t get to play against Serbia. He then earned his first cap with a start against Colombia and arguably was the best player on the night. 
Tolkin flourishes most when helping the attack, but the U.S. rarely found itself in those opportunities. He impressed defensively with four clearances, three tackles, winning five of seven ground duels and logging an interception. He also completed 4 of 8 long balls, with the left-hand side looking the better of the two. Getting him minutes alongside a more direct, pure winger like Cade Cowell – similar to the Robinson-Christian Pulisic combo – could be one to develop going forward.

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Theory: Building an Overlay Network Model
Trends in the number of nodes in each state over time in different competition awareness.
Abstract: In fact, information is not transmitted in a single message, but rather multiple messages are transmitted simultaneously and interact with each other as they are transmit... View more
In fact, information is not transmitted in a single message, but rather multiple messages are transmitted simultaneously and interact with each other as they are transmitted. Based on this phenomenon, a multi-information overlay network model that differs from the traditional network structure is first constructed on the basis of two classical network models, BA scale-free and WS Small World. When multiple messages are transmitted simultaneously, the competitive nature of the message affects the transmission process to some extent, and therefore a sense of competition for the message is introduced into the classical SIS model of infectious disease. Simulation experiments have shown that a sense of competition enhances or inhibits the spread of information to varying degrees, and that information with a high sense of competition has a greater scale of spread, in line with the real-life “Matthew effect”. In addition, the sense of competition also accelerates the spread of information. Therefore, it is possible to inhibit the spread of negative information by controlling the sense of competition, so as to achieve timely warning and control of negative information.
Published in: IEEE Access ( Volume: 9 )
Date of Publication: 08 February 2021
Trends in the number of nodes in each state over time in different competition awareness.
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With the diversification and complexity of information dissemination, people are often in a complex network of multiple information networks, and each network contains multiple individuals, and each individual is exposed to multiple information networks at the same time, for example, people are in real social networks and virtual social networks, and real social networks can be divided into various relationship circles such as family, friends and colleagues, and virtual social networks are divided into Facebook, Youtube, Twitter and Wechat [1] – [3] , and similarly, each social network in a complex network has different competitiveness for different user groups. Therefore, studying the weighting of the quantity and quality of information received by each information-receiving individual across multiple information networks, and the competitiveness of each information network to attract individuals, is important and more realistic for the dissemination of complex information in multi-level networks [4] – [8] .
In the field of complex networks, the SIS and SIR models, which evolved from the infectious disease transmission model, have been discussed and studied by many scholars, and the models allow scholars to better understand the information dissemination problems that exist in many interdisciplinary disciplines [9] – [11] . Among them, the SIS model holds that humans are repeatedly infected by viruses and do not develop immunity, while the SIR model holds that infection with a virus produces antibodies and then enters a recovery period, similar to the difference between influenza and smallpox.Various forms of network models simulate and describe the dynamic patterns of transmission in nature and the resulting effects. In recent years, complex network theory has been widely applied to public opinion control, rumor propagation, advertising effects, social networks, and other areas [12] – [14] .Among them, many have studied the results of information dissemination in the field of disease prevention and control [15] – [17] , and some have discussed information prediction models based on online social network information dissemination. Some scholars proposed to add stress and strain factors in biology into the SIS model, in order to achieve the regulation of epidemic disease transmission, improve the conditions for outbreaks during transmission, and achieve better experimental results [18] . Next, in the work of NIAN et al. the credibility attributes of nodes were applied to the network, reflecting the differences in social competence among individuals and the impact of control strategies on active individuals on the spread of information [19] . More realistic multi-community overlay social networks have been proposed in recent research work and algorithm designs have been constructed to study the control of epidemic transmission by controlling overlay nodes with good results [20] .
In the field of information propagation, the main previous work has focused on a single propagating individual, for example, studying the propagation of a certain rumor in Weibo or the distribution of friends’ relationships in Facebook. Recently, the model proposed by Trpevski has two rumors spread [21] , but there is no correlation between the two rumors, and the information relevance model proposed by WANG et al. considers the influence of the relevance of the two messages on communication [22] , but ignores the competitive relationship between multiple messages, as well as the role of interaction between messages, on the basis of which insights are gained. In this paper, we focus on the influence of competitive awareness on the communication process in multi-information networks, and how to take effective control measures over the dissemination of information, as well as its prediction of information dissemination trends.
The classical BA network model is applied in terms of network models. In which, in order to study the theoretical content of information propagation in complex networks, a new algorithm of network construction is proposed by first overlaying the network characteristics: as shown in Fig.1 .first, several subnetworks of size N_{a}
, are established, and each base network may be either a BA scale-free network or a WS small world network. These n
mutually independent subnetworks are called base subnetworks G_{a}
, similar to the associations formed by the red, blue and green nodes in Fig.1 . [23] , [24] .

BA-WS overlay netwo
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