washburn_uniqueness_aczel

"intra-modal dispersive regularization … Ld = log(1/B(B−1) ∑ exp(−t‖z̃mi − z̃mj‖²)) … inter-modal anchoring La = 1/B ∑ (‖z̃mi − z̃ni‖² − τ)²₊"

"I establish existence of a symmetric equilibrium... characterization via the first-order approach... convex cost... Gâteaux differentiable... Φ(F, x) = a_F(x) − c_F(x) ≤ λ_g ... equal on supp(dF)"

"coalescent projection (CP) ... single learnable matrix ... SA(U) = Softmax(Q C K^T / sqrt(D')) V"

"Context-Selective Residuals (CSR)... Compatibility Reasoning Module (CRM) fuses... text-conditioned attention"

"The response is decoupled into two parallel networks: (1) an elasto-plastic network of inter- and intramolecular bonds ... and (2) an elastic network of entropic chains"

"FIT stabilizes sequential updates through three synergistic mechanisms: redundancy Filtering, Importance-aware adaptive algorithm selection, and Targeted layer attribution."

"SIPS ... explicitly control the Lipschitz behavior of routing functions, yielding smoother and more stable routing geometry"

"An excitation energy resolution of 800 keV (FWHM) was determined together with mass resolution of 1.1% (FWHM)."

"speaker embedding-driven target-speaker extraction and dynamic vocabulary-based contextual biasing... FiLM-based modulation... weighted softmax... CTC self-conditioning"

"semantic information in contrastive representations is primarily directional... Cosine Similarity Alignment objective that enforces semantic consistency while allowing flexible feature magnitudes"

"we experimentally establish a connection between the enhanced sensitivity and the dynamics of the out-of-time-order correlator (OTOC), and show that the buildup of scrambling-induced genuine multipartite entanglement underlies the observed sensitivity enhancement"

"the system can even be seen as a gradient flow for an explicit energy... critical points are generically atomic and localized on subsets of the sphere"

"We propose a dynamic network learning framework CoDCL, which combines counterfactual-inspired augmentation with contrastive learning... dynamic treatments design with efficient structural neighborhood exploration"

"when the model parameters are calibrated to match the 1P-wave spectrum and their widths, the pole associated with the bare 2S state is naturally shifted downward to the mass region of physical Roper resonance–N(1440)"

"neural LMFT framework... single-component repulsive reference system with a mean-field treatment of attractive interactions, inspired by the connection between cDFT and local molecular field theory"

"We present a biocompatible fabrication and characterization platform for micron-scale DNA-hydrogels (µSDs) with tunable isotropic swelling and dissolving properties... achieving up to a two-fold size increase through programmable DNA design parameters."

"multi-modal protocol that measures VTON quality along five interpretable dimensions... VLM-based semantic reasoning with a novel Multi-Scale Representation Metric based on SAM3 segmentation and morphological erosion"

"continued fraction ... w0x + 1/(w1x + 1/(w2x + ...)) ... 1/x non-linearity ... continuants Kd ... ∂f̃/∂ak = (−1)^k (Kd−k/Kd)^2"

"We derive exact first and second moment matching for propagating the mean and covariance matrix of a Gaussian distribution through a single layer of a (residual) neural network (Lemma 2.4). ... for probit in App. C ... GeLU in App. D ... ReLU ... Heaviside ... sine"

"the Hamiltonian describing the spectrum of heavy mesons in the relativistic potential model is the sum of three terms, H = H(0) + ΔH(0) + ΔH(S), where the leading contribution H(0) reads H(0) = h1 + h2 + Ug(r) + Uconf(r), h1 = sqrt(m1² + p²), … Ug(r) = −g/r, Uconf(r) = br + C"

"We equip the parameter domain with a Riemannian geometry such that the latent subspace and induced data manifold are related by isometries... geodesics become straight lines in the latent parameter space"

"IVO optimizes initial latent variables to realign the noise distribution of unlearned models with that of their vanilla counterparts, which reconstructs the fractured mappings"

"Proposition 3.2 and Theorems 4.2–4.6: Gap(P) bounded via Cheeger + Υ(δ) F(min π(Si)) from isoperimetric profile of π"

"Bayesian posterior sampling in a delta-full chiral effective field theory at third chiral order"

"we adopt a dimensional approach that represents sentiment with continuous valence-arousal (VA) scores... propose a new unified metric, continuous F1 (cF1), which incorporates VA prediction error into standard F1"

"DCA-inferred pairwise mutational couplings were transformed into Circos images, which were then used as inputs for CNN-based classification models... weighted-average F1-score of 98.68±0.75%"

"We demonstrate that the velocity field in flow matching corresponds to the gradient of a sequence of smoothed distance functions... reformulate the CFG sampling as a homotopy optimization with a manifold constraint."

"Extensive experiments on real-world datasets show that SemaCDR consistently outperforms state-of-the-art baselines"

"the payment is given by P(θ,p) = q_π(1)(θ_π(1)) - V_π(2)(θ_π(2), p_π(2))"

"Under assumptions (H1)-(H3), ... DR(u) is μ-diagonally dominant ... Therefore, DR(u) is invertible with ∥(DR(u))⁻¹∥ ≤ 1/μ. ... 0 ∈ ∂L(u) iff R(u) = 0"