Kyler Murray out with concussion so door opens for Carson Wentz as Vikings' new starter - perhaps for a while Lane Kiffin's visit to Oxford isn't the first time a coach made an unwelcome return to his former school Patriots coach Mike Vrabel does about-face on TreVeyon Henderson's activism after Russini scandal Syracuse football coach mocked for trying to intimidate a ref, Mets medical staff looks lost & MLB WAG Brylie! Formula One driver Lewis Hamilton tells Macklemore he is'standing' in solidarity with him on Palestine Maye Musk defends Sydney Sweeney's nude sports ad and recalls 12-year path to citizenship Ryan Clark again accuses ESPN of leaking his firing to OutKick: Here's the real story Sophie Cunningham says what other gaslighting female athletes won't about the naked Sydney Sweeney ad Steve Sarkisian says he should have shown'more patience' after running from Holly Rowe interview Bills cruise past Lions to christen new home behind Josh Allen's five-touchdown performance Patriots' TreVeyon Henderson explains siding with family over DCF in custody dispute involving gender identity Colin Kaepernick accuses NFL of'colluding' against Macklemore amid'Free Palestine' controversy Virginia Governor Abigail Spanberger quietly rolls back Youngkin's plans to protect girls' sports Human vs. ChatGPT NFL Week 2 betting picks: AI looks to rebound after disastrous 0-5 debut NBA star Kyrie Irving jumps into NFL drama, offers to pay player's fine for Gaza-themed eye black Claire Valdez's platform would represent Mexico, not US: Rep Anna Paulina Luna Trump calls Lindsay Clancy trial'very sad' after holdout juror speaks out Sorority member suing Kappa Kappa Gamma over trans member says women were'promised a sisterhood' Mike Pompeo warns: 'America needs to reject this' Dean Cain says Trump admin's'Million Dollar Pitch Competition' celebrates innovation Activity at Iran nuclear site draws Trump warning: Don't'get cute' Activity at Iran nuclear site draws Trump warning: Don't'get cute' Olympic swimmer and former Lia Thomas opponent Réka György says Virginia Governor Abigail Spanberger'hurt' female athletes by pulling Virginia women's sports regulation Hungarian Olympian Réka György, who lost a place in an NCAA swimming final after competing against transgender swimmer Lia Thomas, criticized Virginia Gov. Abigail Spanberger's administration for abandoning a proposed regulation intended to protect female sports and private spaces. György was one of three female swimmers who petitioned the Virginia Board of Health to enact the regulation last year. The board unanimously approved the petition under former Gov. Glenn Youngkin, but the regulatory action was withdrawn in July after Spanberger took office. It's really sad for me because I had the petition filed a year ago, and Youngkin approved it and wanted to take the next step and protect female athletes and female spaces in Virginia, György told OutKick .

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A.1 More Information About The Continuous Environment We provide a detailed description of the continuous environments with constrained settings: Let's consider an optimization problem in the form of: minimize α After analyzing Table C.1 and Figure C.1, it is evident that the B2CL, MEICRL, and InfoGAIL-ICRL Although MMICRL-LD shows a notable improvement, its performance remains mediocre in environments involving three types of agents. Table C.2 presents the mean std results of all algorithms in Mujoco. Figure C.2 depicts the distribution of x-coordinate values Half-Cheetah, Blocked Swimmer, and Blocked Walker environments. It demonstrates the algorithm's capacity to infer and restore incorrect We employ "/" to separate the results for various We present the mean std results calculated over 20 runs for each random seed.Method Setting 1 Setting 2 Setting 3 Setting 4 Feasible Cumulative Rewards B2CL 0.24 0 .40 Figure C.1: The feasible cumulative rewards (left two columns of the first three rows and second-to-last row) and constraint violation rate (right two columns of the first three rows and last row). The first row showcases the expert demonstration, followed by the results of B2CL, MEICRL, InfoGAIL-ICRL, MMICRL-LD, and MMICRL algorithms.

Elongate animals and robots use undulatory body waves to locomote through diverse environments. Geometric mechanics provides a framework to model and optimize such systems in highly damped environments, connecting a prescribed shape change pattern (gait) with locomotion displacement. However, the practical applicability of controlling compliant physical robots remains to be demonstrated. In this work, we develop a framework based on geometric mechanics to predict locomotor performance and search for optimal swimming strategies of compliant swimmers. We introduce a compliant extension of Purcell's three-link swimmer by incorporating series-connected springs at the joints. Body dynamics are derived using resistive force theory. Geometric mechanics is incorporated into movement prediction and into an optimization framework that identifies strategies for controlling compliant swimmers to achieve maximal displacement. We validate our framework on a physical cable-driven three-link limbless robot and demonstrate accurate prediction and optimization of locomotor performance under varied programmed, state-dependent compliance in a granular medium. Our results establish a systematic, physics-based approach for modeling and controlling compliant swimming locomotion, highlighting compliance as a design feature that can be exploited for robust movement in both homogeneous and heterogeneous environments.

A.1 More Information About The Continuous Environment We provide a detailed description of the continuous environments with constrained settings: Let's consider an optimization problem in the form of: minimize α After analyzing Table C.1 and Figure C.1, it is evident that the B2CL, MEICRL, and InfoGAIL-ICRL Although MMICRL-LD shows a notable improvement, its performance remains mediocre in environments involving three types of agents. Table C.2 presents the mean std results of all algorithms in Mujoco. Figure C.2 depicts the distribution of x-coordinate values Half-Cheetah, Blocked Swimmer, and Blocked Walker environments. It demonstrates the algorithm's capacity to infer and restore incorrect We employ "/" to separate the results for various We present the mean std results calculated over 20 runs for each random seed.Method Setting 1 Setting 2 Setting 3 Setting 4 Feasible Cumulative Rewards B2CL 0.24 0 .40 Figure C.1: The feasible cumulative rewards (left two columns of the first three rows and second-to-last row) and constraint violation rate (right two columns of the first three rows and last row). The first row showcases the expert demonstration, followed by the results of B2CL, MEICRL, InfoGAIL-ICRL, MMICRL-LD, and MMICRL algorithms.

--Nonnegative matrix factorization (NMF) is a known unsupervised data-reduction method. The principle of the common cause (PCC) is a basic methodological approach in probabilistic causality, which seeks an independent mixture model for the joint probability of two dependent random variables. It turns out that these two concepts are closely related. This relationship is explored reciprocally for several datasets of gray-scale images, which are conveniently mapped into probability models. On one hand, PCC provides a predictability tool that leads to a robust estimation of the effective rank of NMF . Unlike other estimates (e.g., those based on the Bayesian Information Criteria), our estimate of the rank is stable against weak noise. We show that NMF implemented around this rank produces features (basis images) that are also stable against noise and against seeds of local optimization, thereby effectively resolving the NMF nonidentifiability problem. On the other hand, NMF provides an interesting possibility of implementing PCC in an approximate way, where larger and positively correlated joint probabilities tend to be explained better via the independent mixture model. We work out a clustering method, where data points with the same common cause are grouped into the same cluster . We also show how NMF can be employed for data denoising. Nonnegative matrix factorization (NMF) was proposed and developed in data science [1]-[3].

We thank the reviewers for thoughtful comments! We have an example in Table 6 in Supplement D.1: in some cases, (e.g. As with any learning algorithm, one has to be careful of extrapolation. ODE, then we could absolutely use RL to learn the parameters of that ODE. Using the learned dynamics models for planning (e.g., Dyna-style We extended Swimmer to 450k steps below.

We present an evolved steerable version of the single-tail Fish-&-Ribbon-Inspired Small Swimming Harmonic roBot (FRISSHBot), a 59-mg biologically inspired swimmer, which is driven by a new shape-memory alloy (SMA)-based bimorph actuator. The new FRISSHBot is controllable in the two-dimensional (2D) space, which enabled the first demonstration of feedback-controlled trajectory tracking of a single-tail aquatic robot with onboard actuation at the subgram scale. These new capabilities are the result of a physics-informed design with an enlarged head and shortened tail relative to those of the original platform. Enhanced by its design, this new platform achieves forward swimming speeds of up to 13.6 mm/s (0.38 Bl/s), which is over four times that of the original platform. Furthermore, when following 2D references in closed loop, the tested FRISSHBot prototype attains forward swimming speeds of up to 9.1 mm/s, root-mean-square (RMS) tracking errors as low as 2.6 mm, turning rates of up to 13.1 °/s, and turning radii as small as 10 mm.