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Contracting Self-similar Groups in Group-Based Cryptography
Announce Type: replace-cross Abstract: We propose self-similar contracting groups as a platform for cryptographic schemes based on simultaneous conjugacy search problem (SCSP). The class of these groups contains extraordinary examples like Grigorchuk group, which is known to be non-linear, thus making some of existing attacks against SCSP inapplicable. The groups in this class admit a natural normal form based on the notion of a nucleus portrait, that plays a key role in our approach.
G2G: Exploiting Intra-Group Geometry for Inter-Group Pose Estimation
Announce Type: new Abstract: Recovering the relative 6-DoF pose between two image groups underlies cross-sequence relocalization and multi-camera rig odometry. Each group carries known intra-group geometry from visual odometry or rig calibration, and pretrained multi-view backbones already fuse such geometry into visual features. Yet current models treat all views as an unstructured set, leaving cross-group reasoning as the missing piece.
Group of teenage campers stalked by a group of Sasquatches in Idaho over Memorial Day Weekend
A group of 10 teenagers, almost all of them 18, from Parma, Idaho, took the two-hour or so trip to Payette National Forest in McCall, Idaho, to go camping for Memorial Day weekend. While there, they claimed to have had encounters with, and some of them even witnessed, several Sasquatches. The witness who submitted the claim to The Bigfoot Field Researchers Organization, Kyera, says that the first sighting came on Friday night when her friend Abi had seen a tall, dark figure just a couple of...
Do covariates explain why these groups differ? The choice of reference group can reverse conclusions in the Oaxaca-Blinder decomposition
arXiv:2603.29972v2 Announce Type: replace-cross Abstract: Scientists often want to explain why an outcome is different in two groups. For instance, differences in patient mortality rates across two hospitals could be due to differences in the patients themselves (covariates) or differences in medical care (outcomes given covariates). The Oaxaca--Blinder decomposition (OBD) is a standard tool to tease apart these factors.
World Cup 2026 Group guides
World Cup 2026 group guides: England and Scotland group analysis, fixtures, squads and everything you need on all 12 groups This content is provided by World Cup 2026 group guides: England and Scotland group analysis, fixtures, squads and everything you need on all 12 groups, which may be using cookies and other technologies. To show you this content, we need your permission to use cookies. You can use the buttons below to amend your preferences to enable World Cup 2026 group guides: England...
The price of multi-group transductive learning
arXiv:2606.04423v1 Announce Type: new Abstract: We show every multi-group learner in the transductive setting may incur a multiplicative penalty in its error rate on some group relative to the error rate achievable in the single-group setting, and the penalty can increasing linearly with the number of groups, up to roughly the square-root of the sample size. This stands in stark contrast to optimal multi-group learners in an analogous (group-realizable) statistical setting, where the penalty...
World Cup Group G guide
World Cup 2026 Group G guide - fixtures, schedule, standings and odds for Belgium, Egypt, Iran and New Zealand World Cup Group G includes Belgium, Egypt, Iran and New Zealand; matches will take place in US cities Seattle and Los Angeles and in Canada's Vancouver Tuesday 2 June 2026 13:27, UK World Cup Group G features Belgium, Egypt, Iran and New Zealand. World Cup Group G fixtures All kick-off times are BST World Cup Group G table World Cup Group G supercomputer prediction Belgium guide...
World Cup Group H guide
World Cup 2026 Group H guide - fixtures, schedule, standings and odds for Spain, Cape Verde, Saudi Arabia and Uruguay World Cup Group H includes Spain, Cape Verde, Saudi Arabia and Uruguay; matches to take place in Zapopan, Mexico and USA cities Atalanta, Miami and Houston Tuesday 2 June 2026 13:31, UK World Cup Group H features favourites Spain, Cape Verde, Saudi Arabia and Uruguay. World Cup Group H fixtures All kick-off times are BST World Cup Group H table World Cup Group H supercomputer...
Rank-Constrained Deep Matrix Completion for Group Recommendation
new Abstract: The growing popularity of group activities has increased the need for methods that provide recommendations to groups of users given their individual preferences. Many existing group recommender systems rely on aggregating individual user preferences, but they often struggle with high-dimensional and highly sparse rating data commonly found in real-world scenarios. We propose Group Rank-Constrained Deep Matrix Completion (Group RC-DMC), a novel framework that extends RC-DMC by...
Algebraic Diversity: Group-Theoretic Spectral Estimation from Single Observations
arXiv:2604.03634v5 Announce Type: replace Abstract: We establish that temporal averaging over multiple observations is the degenerate case of algebraic group action with the trivial group $G=\{e\}$. A General Replacement Theorem proves that a group-averaged estimator from one snapshot achieves equivalent subspace decomposition to multi-snapshot covariance estimation. The Trivial Group Embedding Theorem proves that the sample covariance is the accumulation of trivial-group estimates, with...