“The paper classifies the irreducible components of V(d,n), gives criteria for the ideal I(d,n) to be prime or a complete intersection, and for the variety V(d,n) to be normal. It also gives near-equivalent conditions for V(d,n) to be factorial.”

“The key methodological innovation is that orthogonal complement projections completely eliminate cross-modal interference when estimating each loading space.”

“The paper derives fundamental estimation limits for a wide-band near-field sensing systems employing orthogonal frequency-division multiplexing signaling over a coherent processing interval.”

“The paper's core contribution is the multi-objective optimization framework using NSGA-II to generate a Pareto front of trade-off solutions, allowing for a balanced compromise between competing fairness criteria.”

“Xiu Yuliang shared the latest three works of the Yuanxi Lab, namely UP2You, ETCH, and Human3R.”

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“The paper analyzes the self-orthogonality in the vicinity of an EP and the Berry phase.”

“Sub-ensemble correlations are determined by the covariance operator, inducing a natural geometry in which statistical independence corresponds to orthogonality of the measurement functionals.”

“OptiVote integrates sign stochastic gradient descent (signSGD) with a majority-vote (MV) aggregation principle and pulse-position modulation (PPM), where each satellite conveys local gradient signs by activating orthogonal PPM time slots.”

“The paper proposes a candidate for compactifying moduli spaces of principal bundles for the orthogonal and symplectic groups.”

“DehazeSNN is highly competitive to state-of-the-art methods on benchmark datasets, delivering high-quality haze-free images with a smaller model size and less multiply-accumulate operations.”

“The paper describes how to construct a spanning set of linearly-independent, automatically orthogonal colour tensors for scattering amplitudes involving coloured particles transforming under arbitrary representations of any gauge theory.”

“The paper develops a dynamic CKM construction method for multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems.”

“The paper introduces the concept of virtual bistatic sensing (VIBS), which incorporates the estimates from multiple antenna pairs to achieve high-accuracy target positioning and three-dimensional velocity measurement.”

“The method leverages orthogonal basis extraction from previously learned LoRA to initialize the learning of new tasks, further exploits the intrinsic asymmetry property of LoRA components by using a time-aware scaling mechanism to balance new and old knowledge during continual merging.”

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

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“The paper proves that FSTA^F and LUMI^F coincide under full synchrony, a surprising collapse indicating that perfect synchrony can substitute both memory and communication when only two robots exist.”

“The method achieves superior reconstruction quality and faster processing compared to other algorithms.”

“The paper likely provides a detailed mathematical treatment of the intersection of cylinders.”

“The paper derives moderate deviation estimates for the height function in both the upper and lower tail regimes, with sharp exponents and constants.”

“The paper reveals critical limitations of state-of-the-art VLAs, including a strong tendency toward memorization over generalization, asymmetric robustness, a lack of consideration for safety constraints, and an inability to compose learned skills for long-horizon tasks.”

“The proposed BS-dependent data association model constitutes a principled approach for classifying features by arbitrary properties, such as reflection order or feature type (scatterers versus walls).”

“The matrix closest to $\widehat{A}$ in the Frobenius norm and satisfying $C^ op A = 0$ is the orthogonal projection $A^\star = \widehat{A} - C(C^ op C)^{-1}C^ op \widehat{A}$.”

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“InstructMoLE utilizes a global routing signal, Instruction-Guided Routing (IGR), derived from the user's comprehensive instruction. This ensures that a single, coherently chosen expert council is applied uniformly across all input tokens, preserving the global semantics and structural integrity of the generation process.”

“Models exposed to such warnings reproduced the flagged content at rates statistically indistinguishable from models given the content directly (76.7% vs. 83.3%).”

“The paper introduces a Biorthogonal Graph Fourier Transform (BGFT) adapted to directed diffusion.”

“"ROOT: Robust Orthogonalized Optimizer for Neural Network Training"”

“Further analysis would require reading the paper itself to understand the specific techniques, performance metrics, and security implications discussed.”

“The research focuses on convergence speed, asymptotic bias, and rate-optimal pole selection.”

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“The paper focuses on Orthogonal Approximate Message Passing (OAMP) for rectangular spiked matrix models.”

“The article proposes a forward-only learning method for orthogonal neural networks.”

“The paper focuses on CRC-aided GRAND.”

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“The article proposes a 'Biorthogonal Laplacian Framework for Non-Normal Graphs'.”

“CURE: Concept unlearning via orthogonal representation editing in Diffusion Models (NeurIPS2025) and the paper by Shristi Das Biswas, Arani Roy, and Kaushik Roy.”