alpha_pin_under_high_calibration

"Definition 3 (Normalization) … selects exactly one representative from each equivalence class … induces a bijection between Q∼ and the normalized parameter space"

"0 < ϕ(r) < g(r) … lim r→∞ ϕ(r) = √L / σ² (Corollary 5.4, Proposition 4.2)"

"tenfold increase over the default fine-tuning learning rate overcomes negative transfer"

"σi,t := log πθ(y⋆i,t | qi, Si, y⋆i,<t) / πθ(y⋆i,t | qi, y⋆i,<t) ... plan-regret bound under Assumption 3"

"D-study projections... cost-efficiency frontier for safety evaluation (Fig. 4)"

"We adopt the JEPA paradigm, where a predictor first converts the query embedding into a new latent space with the document embedding played as the latent control"

"reference-model temperature adjustment leading to sharpened logarithmic opinion pool"

"Corollary 4.9 (Coordinate decomposition of ξ_Λ). ... ξ_Λ = ξ_α - ξ_Δ + 1."

"Adaptive Proposal for Fast Coupling... mixture barycenter measure μ ≜ 1/C ∑ Pj"

"Maximizing the determinant of the FIM E[Φ^H_N Φ_N] = A^H R_0 A"

"thermal drift... per-cell temperature statistics... spatial gradients... baseline-derived temporal-delta subtraction"

"the AM solution is not stabilized unless U is sufficiently large... itinerant-to-localized crossover"

"The inner disc regions are highly diverse and dynamic, harbouring a significant amount of substructure candidates"

"The systematic inclusion of dimer fields as propagating degrees of freedom in the effective theory to account for those poles results in cut-off insensitive fits at order Q^0"

"12-dimensional parameter space... MCMC... 30 walkers"

"PCA-informed alignment ... Ltotal = LDR + λPCA · E[i∉kNN(j)] [(1 - ⟨y1-y2, yPCA,1-yPCA,2⟩ / (∥y1-y2∥∥yPCA,1-yPCA,2∥))²]"

"all ranks converge to the same loss floor ... identifying the learning rate schedule—not MLP rank—as the primary bottleneck"

"By a canonical transformation, the reduced evolution equation is recast into a forced oscillator with a smooth effective potential"

"An LLM-augmented curation pipeline consolidates 6,653 raw FlavorGraph ingredients into 1,032 canonical entries... using Gemini 3.1 Pro with structured JSON output."

"parallel branches... pixel-wise consistency... single-stream student"

"GTPO hybrid advantage formulation eliminates the advantage misalignment problem... Ahybrid i,k = GN(∑ γ^{l-k} r_{i,l} + γ^{K-k} o_i) + λ · A^O_i (λ=0.3)"

"Cache-conditioned feature alignment L_align on relational matrices R_low and R_ref for mixed K∈{2,4,8} rollouts."

"IR 10.8 dominates intensity-relevant attribution ... BTD helps suppress false alarms"

"STR pipeline... ridge stabilization... conditioning improvement"

"any C² regularizer is asymptotically equivalent to a quadratic form determined solely by its Hessian at zero and gradient at μ̂θ"

"SGPnP iteration x_{k+1}=x_k - γ_k (∇g + U_σk), annealed σ_k→0 yields convergence to critical point of un-smoothed f_0 (Thm 2, Assump 4)"

"xf =α(x l −c l) +c t,(1) ... for precision-demanding tasks, such as object insertion, a smaller scaling factor (α= 0.5) is adopted"

"uniform boundedness of ψ(t)/t when F* m-strongly convex; continuity at t=1 via local uniform convergence of ∇K"

"Smooth Multi-Stage Quantization... Levelwise Degradation Strategy... {L0, L1, ..., Ll} with Ll=1"

"dual-level alignment... item-level contrastive... feature-level... curriculum learning scheduler"