Estimating the structure of directed acyclic graphs (DAGs, also known as Bayesian networks) is a challenging problem since the search space of DAGs is combinatorial and scales superexponentially with the number of nodes. Existing approaches rely on various local heuristics for enforcing the acyclicity constraint. In this paper, we introduce a fundamentally different strategy: we formulate the structure learning problem as a purely continuous optimization problem over real matrices that avoids this combinatorial constraint entirely. This is achieved by a novel characterization of acyclicity that is not only smooth but also exact. The resulting problem can be efficiently solved by standard numerical algorithms, which also makes implementation effortless. The proposed method outperforms existing ones, without imposing any structural assumptions on the graph such as bounded treewidth or in-degree.

The authors study the problem of structure learning for Bayesian networks. The conventional methods for this task include the constraint-based methods or the score-based methods which involve optimizing a discrete score function over the set of DAGs with a combinatorial constraint. Unlike the existing approaches, the authors propose formulating the problem as a continuous optimization problem over real matrices, which performs a global search, and can be solved using standard numerical algorithms. The main idea in this work is using a smooth function for expressing an equality constraint to force acyclicity on the estimated structure. The paper is very well written and enjoyable to read.

For the average player, The Legend of Zelda: Tears of the Kingdom will take upwards of 50 hours to beat--that is, complete the game's main storyline and save Hyrule. For regular players, conquering Tears of the Kingdom is all about diligence, patience, and creative crafting. For speedrunners, it's about using every tool at their disposal to push the limits of what the latest Zelda will allow. Theirs is a game of strategy, where each player is competing against themselves to work faster and smarter. The first to claim victory, Carl Wernicke, who goes by Gymnast86 online, hails from the US and set the record for his community with a time of 1:34:33.

Making a follow-up to Breath of the Wild (BoTW) is an almost impossible task. Not only was the first Zelda game on the Nintendo Switch an instant classic, it's also one of the best games in an incredibly storied franchise. To make things even more difficult, Legend of Zelda: Tears of the Kingdom features the same basic graphics, map layout and general mechanics as its predecessor, which can sometimes make follow-ups feel more like an expansion pack instead of a true sequel. But after getting a chance to play a hands-on preview build of Tears of the Kingdom, I think Nintendo might have just pulled it off by making a game that expands upon the original and then blasting it into the sky (literally) with a new world of creation. Now before we get into the preview itself, I should mention that this build didn't touch on any of Tears of the Kingdom's (ToTK) story. The demo strictly focused on showing off Link's new abilities in a small area that had me battling through a Bokoblin camp before exploring some of the game's new sky islands.

It was after a particularly grueling session with The Legend of Zelda: Breath of the Wild that I started to wonder: When did developers stop putting cheats into their games to help the less talented among us get through the tricky bits? When I was a kid, a little bit of Up Down Left Right A and Start together, and a little older, a little / noclip saved me no end of bother. These days, if you look for cheats for any modern game online, the best you'll get is to be sassily told to "git gud." Sorry, a little context: I play games, but I'm not a Gamer, or a Nintendo Person, so in 2023 I resolved to remedy this. So many discussions at work fly past me because while I've heard of Cliff Bleszinski and Hironobu Sakaguchi, I couldn't tell you their oeuvre without Googling.

Nintendo shared one last trailer of The Legend of Zelda: Tears of the Kingdom before it launches on May 12th. It teases the whole Hyrule world – including the floating island – as well as Link's allies, who will fight alongside him. The plot is typical Zelda fare: You have to find the princess and defeat Ganon. But the fused weapons and vehicles both seem to be major parts of how the game will play. You can even build a robot to take on enemies that have their own battle platform.

Nintendo has shared one last trailer before The Legend of Zelda: Tears of the Kingdom arrives on May 12th, and this one is worth watching if you're looking for some insight into the story. The rather lengthy clip showcases not only a large and varied world (including the floating islands above Hyrule), but Link's allies. As Zelda makes clear, "you are not alone." There's even a moment where Link offers a wagon ride. The plot appears familiar -- surprise, you'll have to find Zelda and defeat Ganon.

In a new trailer, the series' iconic hero, Link, is depicted opening a massive door and dashing across a chain of ruin-filled islands floating high up in the clouds. The islands appear to have a rich, diverse landscape -- some green and tangled with large, gnarled tree roots, and others large enough to host entire mountain ranges. Aerial travel seems to be a core mechanic in the game, as Link is shown jumping from a great height and landing on the back of a giant stone glider.

The sequel to The The Legend of Zelda: Breath of the Wild is called Tears of the Kingdom and it's due to hit Switch on May 12th, 2023. Nintendo revealed the release date, name and a short teaser for the game during today's Direct showcase. The studio says Tears of the Kingdom will travel into the skies beyond Hyrule, to an expanded world among the clouds. The Legend of Zelda: Breath of the Wild debuted in 2017, the same day the Switch came to market. It was a huge critical and commercial success, and the sequel has been hotly anticipated since.