Section A provides more details about our algorithms. In particular, Section A.1 describes the Section A.2 describes the REx implementation of invariance in Section A.3 discusses the two implementation of the self-training used in our experiments: Section B gives the preliminaries of group theory. Section C gives the full proof of our theorem. Section E shows more comparisons and standard deviations on WILDS 2.0 benchmark [ The setup instructions and commands used in our experiments are included in the README.md Self-training loss α Self-training loss weight β Invariance loss weight Symbol in Theory G Group of semantics X Feature space H Subgroup of G that transforms environmental feature e g x Group action Table A1: List of abbreviations and symbols used in the paper. 1 A Additional Details on Algorithm REx circumvents the challenging bi-level optimization from line 2 of Eq. (2) by adding the following Please refer to [8] for a theoretical explanation.

Domain Adaptation (DA) is always challenged by the spurious correlation between domain-invariant features ( e.g., class identity) and domain-specific features

Domain Adaptation (DA) is always challenged by the spurious correlation between domain-invariant features (e.g., class identity) and domain-specific features (e.g., environment) that does not generalize to the target domain. Unfortunately, even enriched with additional unsupervised target domains, existing Unsupervised DA (UDA) methods still suffer from it. This is because the source domain supervision only considers the target domain samples as auxiliary data (e.g., by pseudo-labeling), yet the inherent distribution in the target domain -- where the valuable de-correlation clues hide -- is disregarded. We propose to make the U in UDA matter by giving equal status to the two domains. Specifically, we learn an invariant classifier whose prediction is simultaneously consistent with the labels in the source domain and clusters in the target domain, hence the spurious correlation inconsistent in the target domain is removed. We dub our approach "Invariant CONsistency learning" (ICON). Extensive experiments show that ICON achieves the state-of-the-art performance on the classic UDA benchmarks: Office-Home and VisDA-2017, and outperforms all the conventional methods on the challenging WILDS 2.0 benchmark. Codes are in https://github.com/yue-zhongqi/ICON.

Sony's news dropped in a post on PlayStation's blog site, where president and CEO Jim Ryan announced the upcoming launch of a revamped PlayStation Plus subscription service. The new model features three tiers, with the most expensive ($119.99 That option, dubbed PlayStation Plus Premium, includes PS3 games that will be playable via cloud streaming, as well as "a catalog of beloved classic games available both in streaming and downloadable options from the original PlayStation, PS2, PSP and PS4 generations." That access will be limited to markets "where PlayStation Now is currently available."

Nintendo showed new footage of the long-awaited sequel Legend of Zelda: Breath of the Wild 2 during its E3 livestream on Tuesday afternoon, along with a tentative launch date of 2022. The company revealed a new teaser for the game, which is set in the same world as its critically acclaimed predecessor. This time, the action will take in the skies above Hyrule as well as on land, with Link able to fly to islands floating far above the earth. During the presentation, Nintendo also revealed a new horror-tinged Metroid title, Metroid Dread, the first 2D instalment in the series for 19 years, in which spacefarer Samus Aran is pursued by distressing transforming robot drones. Nintendo's other upcoming Metroid game, first-person shooter Metroid Prime 4, was mentioned, but not shown. There will also be a fresh Warioware game, Get It Together, in which players barrel through bizarre microgames about everything from squeezing toothpaste to balancing a towering ice-cream cone to plucking chest hairs from statues.

Mountain gorillas have been caught on camera as they "sing" during their supper, a behavior that has never before been documented on video. Filmmakers captured the astonishing footage of the primate crooners with a little help from a very special camera: a robotic "spy" designed to look like a young gorilla. The singing apes make their television debut on April 29 in the returning PBS series, "Nature: Spy in the Wild 2." Like its predecessor, which first aired in 2017, the program documents remarkable up-close glimpses of elusive wildlife behavior, seen through the "eyes" of robots that are uncanny lookalikes of the creatures that they film. But this time, the robot animals display an even greater range of realistic behaviors, enabling them to interact with the wildlife that they're spying on. Though human camera operators typically keep a safe distance from wild gorillas, the lifelike animatronic gorilla spy was able to infiltrate a troop and film their daily routines, which included an impromptu suppertime serenade. Footage of the singing gorillas is featured in the first episode of "Spy in the Wild 2" and shows the apes reclining amid dense foliage in a sanctuary in Uganda.