“I wanted to review the definitions of specific operations, so I summarized them.”

“When handling multidimensional arrays of 3 or more dimensions, imagine a 'solid' in your head...”

“The paper establishes a complete classification for fermionic symmetry protected topological phases (FSPT) with purely discrete internal symmetries, which determines the crystalline case via the crystalline equivalence principle.”

“The paper demonstrates conformal multiplet structure together with the hallmark of emergent spacetime supersymmetry through characteristic relations between fermionic and bosonic operators.”

“The paper shows that the generalization error of DGFMs tends to zero as the number of neurons and the training time tend to infinity.”

“The authors' method enables simulations of bosonic quantum mixtures with substantially larger bond dimensions than previous works.”

“The trilinear equivalence only requires an averaging over grids, which converts a difficult exponential sum into an oscillatory integral with periodic amplitude.”

“The paper constructs solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and studies the dependence of energy and charge on $ω$.”

“”

“LMG achieves competitive or leading performance, including bulk loading (up to 8.25x faster), point queries (up to 1.49x faster), range queries (up to 4.02x faster than B+Tree), update (up to 1.5x faster on read-write workloads), stability (up to 82.59x lower coefficient of variation), and space usage (up to 1.38x smaller).”

“The paper proves a new BD entropy inequality for a class of non-isentropic compressible fluids and shows the "viscous shallow water system with transport entropy" will admit global classical solutions for arbitrary large initial data to the spherically symmetric initial-boundary value problem in both two and three dimensions.”

“The paper parametrizes composition algebras, Freudenthal algebras, and involutions of the second kind.”

“The paper calculates the expectation value of the particle current induced by a strong step-like electric potential in 1+1 dimensions, and recovers the standard current in various scenarios.”

“The paper finds novel non-supersymmetric domain walls interpolating between different pairs of AdS extrema.”

“The discussion revolves around the future of "world models," with researchers offering predictions on breakthroughs in areas like geometric foundation models, self-supervised learning, and the development of 4D/5D/6D AIGC.”

“The paper provides a necessary and sufficient condition for the incenter of a given n-simplex with k-rational vertices to be k-rational.”

“Classical approaches retain high-order accuracy and strong computational efficiency for single-instance problems... Physics-informed neural networks (PINNs) are also able to reproduce qualitative solutions but are generally less accurate and less efficient in low dimensions than classical solvers.”

“The paper introduces two efficient dynamic programming algorithms that leverage this sequential structure.”

“Removing dynamic elements leads to a consistent 30.97% decrease in perceived vibrancy.”

“The paper identifies "smooth branches of extremal amplitudes separated by sharp kinks at $d=5$ and $d=7$, coinciding with a transition in threshold analyticity and the loss of some well-known dispersive positivity constraints."”

“The paper proposes a novel sparse-penalization framework for high-dimensional Pconf classification.”

“Using number-theoretic methods, we completely classify these obstructions in the codimension three case revealing some delicate connections between Betti tables, commutative algebra and classical Diophantine equations.”

“Rectangular samples with $L_x eq L_y$ host a finite spin polarization, which vanishes in the symmetric limit $L_x=L_y$ and in the thermodynamic limit.”

“The prototypes exhibited excellent performance, achieving a time resolution of 25 ps and a light yield of 10^4 photoelectrons, both substantially surpassing the design requirements.”

“The paper provides a complete characterization of the weight parameters that yield a finite group in two dimensions.”

“PhyAVBench explicitly evaluates models' understanding of the physical mechanisms underlying sound generation.”

“The dissertation develops new algorithmic principles and establishes fundamental limits for interactive learning along three dimensions: active learning with noisy data and rich model classes, sequential decision making with large action spaces, and model selection under partial feedback.”

“The authors observe that the charge diffusion constant is well described by a simple functional dependence ~ 1/V^2 universally valid both for small and large V.”

“The exponent $n$ entering the probability $P_{ m SCO}\sim 10^{-n}$ has dimensions of inverse time: it is an energy barrier divided by the Planck constant, rather than a dimensionless tunnelling action.”

“The paper introduces the new flexible class of intrinsic Whittle--Matérn Gaussian random fields obtained as the solution to a stochastic partial differential equation (SPDE).”

“The paper reveals that existing IMDL models, while performing well in their original settings, exhibit systemic failures and significant performance degradation when evaluated under the designed protocols that simulate real-world generalization scenarios.”

“Positive attitudes toward GenAI as a coworker were strongly associated with all three factors (negative correlation), and those factors were also related to each other (positive correlation).”

“The paper introduces a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices.”

“The paper finds that in (3+1) dimensions the scalar Love number is generically nonzero, while the Fermionic Love numbers follow a universal power-law. In (2+1) dimensions, the scalar field exhibits a logarithmic structure, and the Fermionic Love number retains a simple power-law form.”

“The UISVD yields stable, physically meaningful entropic spectra that are invariant under rescalings and normalisations.”

“”

“The optimal code capacity of the checkerboard code is $p_{th} \simeq 0.108(2)$, the highest among known three-dimensional codes.”

“The main goal is to prove the (subsequence) convergence of the proposed numerical method to a large-data global weak solution in two dimensions, without relying on cut-offs or additional regularization.”

“The paper validates the new 3-crossed module structure by proving that the induced simplicial set forms a quasi-category and that the Moore complex of length 3 associated with a simplicial group naturally admits the structure of the proposed 3-crossed module.”

“”

“The paper achieves explicitly computable constants that improve upon all previously known bounds, with a 14% improvement over the previous best constant for dimension 3.”

“The paper instantiates arrays as comonads with state and random generators, allowing stochastic behaviour not currently supported in other known implementations.”

“Schrödinger mean with complex time.”

“The lead compound M2 not only exhibits potent antibacterial activity, with a minimum inhibitory concentration (MIC) of 25.6 ug/mL, but also achieves binding stability superior to cefuroxime...”

“Even leading models achieve only 60% of the expert-defined ideal score.”

“SirenPose enforces coherent keypoint predictions across both spatial and temporal dimensions.”

“The Modified TSception achieves a comparable accuracy of 83.46% (vs. 83.15% for the original) on the SEED-VIG dataset, but with a substantially reduced confidence interval (0.24 vs. 0.36), signifying a marked improvement in performance stability.”

“Model converges quickly, but hard to tell if would be competitive with float models or BitNet itself since most of my toy models have only been trained for <1 epoch on the datasets using consumer hardware.”

“”

“We leverage interpolative decoding, representing each dimension of personality as a pair of opposed prompts and employing an interpolation parameter to simulate behavior along the dimension.”