“Our approach relies on a unified formulation of the distance from a point to a hyperplane on the considered spaces.”

“We propose an approach to enhance planning with JEPA world models by shaping their representation space so that the negative goal-conditioned value function for a reaching cost in a given environment is approximated by a distance (or quasi-distance) between state embeddings.”

“The article quotes user comments from previous discussions on the topic, providing context for the design decisions. It also mentions the use of specific tools and libraries like PanPhon, Epitran, and Claude 3.7 Sonnet.”

“ResponseRank robustly learns preference strength by leveraging locally valid relative strength signals.”

“The paper introduces an algorithm with guaranteed approximations considering some sets of weights for the operations.”

“The basic inequality upper bounds f(θ_T)-f(z) for any reference point z in terms of the accumulated step sizes and the distances between θ_0, θ_T, and z.”

“The conditional entropy or code length in many cases continues to decrease with context length at least to $N\sim 10^4$ characters, implying that there are direct dependencies or interactions across these distances.”

“The main contribution is a factor-$5$ distortion algorithm that requires only $O(k \log^2 k)$ queries.”

“The paper introduces the phenomenon of role reversal in the Mpemba effect, wherein changes in the system parameters invert the relaxation ordering of a given pair of initial states.”

“For any objective with log-sum-exp structure over distances or energies, the gradient with respect to each distance is exactly the negative posterior responsibility of the corresponding component: $\partial L / \partial d_j = -r_j$.”

“The paper establishes continuity of the operators and the unique strong solvability of the corresponding nonlocal parabolic equations in $L_p$ spaces.”

“CREPES-X achieves RMSE of 0.073m and 1.817° in real-world datasets, demonstrating robustness to up to 90% bearing outliers.”

“The article's introduction highlights the need for remote access due to the waiting times associated with AI CLI tools, such as Claude Code and Codex CLI. It mentions scenarios like wanting to check progress while away or run other tasks during the wait.”

“The paper proves a central limit theorem for the Euclidean distance between two independent random vectors uniformly distributed on $l_p^n$-balls.”

“The results showcase the real-world feasibility and superior performance of nonlinear MPC for 3D path-following guidance at ground speeds up to 36 meters per second.”

“With a probability of about 0.5, there exists a brown dwarf in the immediate solar vicinity (< 1.2 pc).”

“The paper proposes a method that trains a neural network to predict the minimum distance between the robot and obstacles using latent vectors as inputs. The learned distance gradient is then used to calculate the direction of movement in the latent space to move the robot away from obstacles.”

“The distance-aware approach achieves higher accuracy on coarse grids (max. 60%p accuracy gain) with only a moderate verification overhead (approximately 1.4x), making zone encoding the key lever for efficient zero-knowledge spatial checks.”

“The paper introduces and analyzes a class of discrete Gaussian free fields on Hamming graphs, where interactions are determined solely by the Hamming distance between vertices.”

“Stellar distances with Rubin's DP1”

“The paper claims an enhanced convergence rate of order $\mathcal{O}(h)$ in the $L^2$-Wasserstein distance, significantly improving the existing order-half convergence.”

“sCTs achieved 99% structural similarity and a Frechet inception distance of 1.01 relative to real CTs. Skull segmentation attained an average Dice coefficient of 85% across seven cranial bones, and sutures achieved 80% Dice.”

“The paper provides explicit code parameters and properties as well as some additional bounds on parameters such as rank and distance.”

“The paper states: "We recover many RRab groups associated with known Galactic GCs and derive the first RR Lyrae-based distances for BH 140 and NGC 5986. We also detect small groups of two to three RRab stars at distances up to ~25 kpc that are not associated with any known GC, but display GC-like distributions in all six parameters."”

“The article's content would likely involve technical details of the algorithms, their time and space complexity, and potentially comparisons to existing algorithms. It would also likely include mathematical proofs and experimental results.”

“The title itself provides the core information: the subject is Van der Waals interactions, and the approach is pedagogical, using perturbation theory.”

“The article likely discusses the technical details of how SyncGait works, including the sensors used, the gait analysis algorithms, and the authentication process. It would also likely present experimental results demonstrating the effectiveness of the method.”

“The paper demonstrates that the LCV method provides a better-fit bandwidth parameter for tropical KDE, leading to improved accuracy and computational efficiency compared to nearest neighbor methods, as shown through simulations and empirical data analysis.”

“The abstract of the paper would provide more specific details on the methods used, the performance achieved, and the specific challenges addressed.”

“The paper introduces the Keyword-Aware Top-$k$ Routes (KATR) query that provides a more flexible and comprehensive semantic to route planning that caters to various user's preferences including flexible POI visiting order, flexible travel distance budget, and personalized POI ratings.”

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“The BR$k$NN-Light algorithm uses rapid verification and pruning strategies based on geometric constraints, along with an optimized range search technique, to speed up the process of identifying the R$k$NNs for each query.”

“The accuracy rate, F1 score, recall rate and AUC of PFed-Signal are 0.887, 0.890, 0.913 and 0.957 respectively, which are higher than the baselines.”

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“GeoTeacher enhances the student model's ability to capture geometric relations of objects with limited training data, especially unlabeled data.”

“Contrastive Learning (CL) induces a more robust feature space for sparse geometry, achieving superior retrieval performance particularly in the 5--10m range.”

“The Clifford entropy vanishes if and only if a unitary is Clifford.”

“The cosmic chronometers (CC) method offers a unique opportunity to directly measure the Hubble parameter $H(z)$ without relying on any cosmological model assumptions or integrated distance measurements.”

“The paper defines five types of heterogeneity, proposes a 'heterogeneity distance' for quantification, and demonstrates a dynamic parameter sharing algorithm based on this methodology.”

“The title suggests a focus on theoretical analysis within the field of probability and statistics, specifically related to Markov processes and the Wasserstein distance.”

“SCaR-3D, a novel 3D scene change detection framework that identifies object-level changes from a dense-view pre-change image sequence and sparse-view post-change images.”

“The Transformer+SNM configuration attains near-theoretical performance, achieving an AUROC of 0.9977 and an unknown gas detection rate of 99.57% (TPR at 5% FPR).”

“The paper completely resolves the existence problem of $\mathrm{TOC}_{q}(n,d,w)$s for the cases $d=2$ and $d=2w$.”

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“Both quantum models produced samples with lower average minimum distances to the true distribution compared to the LSTM, with the QCBM achieving the most favorable metrics.”

“The paper highlights the use of a GPU-based EDT and SMPC for high-frequency replanning and reactive manipulation.”

“The paper derives an exact entanglement boundary based on the positivity of the partial transpose, valid in the symmetric resonant limit, and provides an explicit minimum collective fluctuation amplitude required to sustain steady-state entanglement.”

“PGR$^2$M improves Fréchet inception distance and reconstruction metrics for both generation and editing compared with CoMo and recent diffusion- and tokenization-based baselines, while user studies confirm that it enables intuitive, structure-preserving motion edits.”

“The paper introduces "intermittent locomotion as a mechanism that allows robots to reliably detect peers that fail to keep up, and disrupt the motion of the swarm."”

“The proposed compilation makes it possible to effectively use subgoaling heuristics to estimate goal distance in numeric planning problems involving control parameters.”