The pressure is growing on Manchester United boss Michael Carrick, but can his side sign off for the three-week international break by beating Fulham on Sunday? For teams who have had a bad start to the season, United being one of them, it could be a horrible few weeks, said BBC Sport football expert Chris Sutton. Any negativity is going to just fester, really. There will be speculation about his future, along with all the talk about whether this is a good time to replace your manager. United are not the only team to have made a bad start, but there is a lot to ponder on for them at the moment. It makes this weekend even more important.

Arsenal and Chelsea have both made 100% winning starts to the new season - but something has to give when they meet at Emirates Stadium on Sunday. I suspect Chelsea will give Arsenal lots of the ball and try to counter-attack quickly, said BBC Sport football expert Chris Sutton. The Blues have got some brilliant creativity in Cole Palmer, Morgan Rogers and Joao Pedro, but the fact they are vulnerable at the back could undermine them. Sutton is making predictions for all 380 Premier League games this season, against AI, BBC Sport readers and a variety of guests. For week three, he takes on Kasabian frontman Serge Pizzorno, who is a Leicester City fan. Kasabian's ninth album, Act III, is out on Friday, 4 September, and they tour the UK in December.

Defending champions Arsenal made an impressive start to the season against newly promoted Coventry but face a tougher test against Aston Villa on Monday. But with the number of outgoings at Villa Park, will it be another eye-opener for Unai Emery's men after last week's heavy defeat by Brighton? BBC Sport football expert Chris Sutton thinks so. There's only one winner with this, he said. Aston Villa had a slow start last season, they have lost big players and I just think Arsenal are going to run all over teams this season. I think they are going to get better and better which is ominous for everybody else. Sutton is making predictions for all 380 Premier League games this season, against AI, BBC Sport readers and a variety of guests.

Forget the scrap for survival between Tottenham and West Ham, the real battle on the final day of the Premier League season is humans versus machines. The outcome of the BBC predictions title race has gone to the wire, and BBC Sport football expert Chris Sutton is the only one who can stop AI - Microsoft chatbot Copilot - from taking the glory. With one round of fixtures to go, they are level on outright wins - which is the decisive metric. Sutton is in second place because he has managed fewer tied victories, so he needs another outright win on Sunday to finish top of the table. The BBC readers and the guests have put up a pretty pathetic fight, said Sutton. It is just down to me now.

The 145th FA Cup final takes place at Wembley on Saturday but will it be Manchester City or Chris Sutton's old club Chelsea who get their hands on the famous old trophy? Chelsea have not beaten City in any of their past 13 meetings but their last success against Pep Guardiola's side came on another huge occasion, the 2021 Champions League final. I was at that game and Pep did not get the better of Thomas Tuchel, said BBC Sport football expert Sutton. He is not going to be schooled by Calum McFarlane though. As well as the FA Cup, Sutton is making predictions for all 380 Premier League games this season, against AI, BBC Sport readers and a variety of guests. For all of this weekend's games, he takes on two Manchester City fans - frontman and guitarist Tom Ogden and drummer Joe Donovan from indie band Blossoms - and a Chelsea supporter - rapper Songer. Blossoms' new single, Joke About Divorce, is out. It is their first new material since their 2024 UK number one album, Gary.

We study the sample complexity (i.e., the number of comparisons needed) bounds for actively ranking a set of n items from multi-wise comparisons. Here, a multiwise comparison takes m items as input and returns a (noisy) result about the best item (the winner feedback) or the order of these items (the full-ranking feedback). We consider two basic ranking problems: top-k items selection and full ranking. Unlike previous works that study ranking from multi-wise comparisons, in this paper, we do not require any parametric model or assumption and work on the fundamental setting where each comparison returns the correct result with probability 1or a certain probability larger than 12. This paper helps understand whether and to what degree utilizing multi-wise comparisons can reduce the sample complexity for the ranking problems compared to ranking from pairwise comparisons. Specifically, under the winner feedback setting, one can reduce the sample complexity for top-k selection up to an m factor and that for full ranking up to a logm factor. Under the full-ranking feedback setting, one can reduce the sample complexity for top-k selection up to an m factor and that for full ranking up to an mlogm factor. We also conduct numerical simulations to confirm our theoretical results.

Two of the teams fighting relegation meet on Sunday when Tottenham host Nottingham Forest, but are there more than just points at stake? If we do get a winner here, it is a huge boost for that team psychologically going into the international break, said BBC Sport football expert Chris Sutton. But, for the losing manager, it could mean the sack. That applies to Forest's Vitor Pereira as well as Igor Tudor at Spurs - this is a classic game where triumph or disaster awaits both clubs. Sutton is making predictions for all 380 Premier League games this season, against AI, BBC Sport readers and a variety of guests. His guests for week 31 are Amari Bacchus and Genesis Lynea, stars of new CBBC drama series Crookhaven. Crookhaven begins with a double bill on Sunday, 22 March at 15:05 GMT on BBC One and BBC iPlayer, and at 17:25 on CBBC. The full series will be available to watch on BBC iPlayer from this date.

Most existing works have focused on ranking from pairwise comparisons. In contrast, we focus on ranking frommulti-wise (or m-wise) comparisons. The pairwise comparisons can be viewed as multi-wise comparisons withm = 2. One motivation is that in many scenarios, multi-wise comparisons are more common.