embed_strictMono_of_one_lt

"The criticality score is ψ(v′i,k)=exp(ζv′i(k))−1 ... A zone is classified as critical if ψ(v′i,k)>0"

"InsightReplay ... replays them near the active generation frontier"

"H(Vk) ⊆ Vk−1 ⊕ Vk+1... J ρk = βk−1 ρk−1 + βk ρk+1 with diagonal zero"

"Under the clinically plausible assumption of monotonic progression in irreversible diseases, the method learns disease-relevant representations without using any expert labels... sim(v1,v2) ≥ sim(v1,v3) for t1 < t2 < t3"

"Leveraging Tenstorrent’s Network-on-Chip (NoC), distributed SRAM, and deterministic execution model, we reduce memory movement and redundant weight fetches"

"The function G_p extends ... to a generalized hypergeometric function ... resonant expansion ... (1-u/ζ_c²)² log(1-u/ζ_c²)"

"hybrid L = L_sup + λ_sil L_sil; batch-level global cluster quality"

"P(N, t) = 100·g(N, t)/(g(N, t) + 1), g(N, t) = α·log(γ t + 1)·log(β N + 1)"

"Bucket-based Implicit Normalization... ̃s_{i,t} = (s_{i,t} - μ_{k,𝒢}) / σ_{k,𝒢} + δ"

"Path-Entropy-Steiner backbone + Gramian controllability views with GAT surrogate and contrastive loss J (Eqs. 5-18)"

"staleness amplification … bilevel Lipschitz constant L_F = L_θ + L_wθ²/μ_w … coupling constant C_0 = L_wθ/μ_w"

"The threshold voltages, capacitances, lever arms, and charging energies are extracted using parallel row based measurements"

"Δj(tj) = rj / (cj + tj) − rj / (cj + tj + 1)"

"MoE capacity should grow progressively with data as an expandable memory."

"we estimate the superhump period to be P_sh ≈ 71.7 minutes … Since the orbital period in WZ Sge-type DNe is typically very close to the superhump period, we consider that this target would belong to the small sample of DNe below the period minimum"

"memory module ... long-term and short-term banks ... ESIt = λ ESIt−1 + (1−λ) ESIt,LLM"

"multi-scale graph adaptive fusion module leveraging graph attention networks for hierarchical feature extraction"

"Map-Reduce paradigm with a sliding memory mechanism ... heuristic safe-split points ... context-aware local mapping"

"energy of X(1) spikes upon arrival of new token and stabilizes … X(2) organized by stack depth … crisp spring-shaped manifold indexed by stack depth"

"m(ε̇) = d ln τ / d ln ε̇ ... low strain-rate sensitivity across a broad range of intermediate quasi-static strain rates"

"The weight of a restriction ∥ζ∥ = sum |Vi|^2 over connected components of exposed edges."

"Lmatrix = LMHA + LFNN; Llayer = Lattn + Lhidn; hierarchical assignment to shallow/deep layers"

"Merton HJB solution v(t,x) = exp(-k(T-t)) x^γ/γ admits rank-1 tensor decomposition (separable univariate factors)"

"A key ingredient of our result is a monotonicity property of the congested region, which allows us to reduce the dynamics to a first-order evolution in time."

"CFL condition of the form h_t < C_Ω h_s² … unconditionally stable space-time isogeometric discretization"

"I/P-frame architecture with temporal conditioning... reference embedding (+1.3% parameters)"

"low style-specificity impressions lie near the origin and high style-specificity impressions lie farther away... coherent progression from ambiguous to more style-specific"

"both matched-width configurations form the signal at the earliest measured checkpoint, and training erases it in the 1.4B"

"tdrift = (r/hg)^2 (St + St^{-1}) / ((1+ϵ)^2 γ ΩK); tgrow ..."

"Spearman correlation reward ... RSC(c, κ;C, K) = rs(C∪{c},K∪{κ})−rs(C,K)"