Atlas

\partial_t p = -\partial_x[\mu(x) p] + \tfrac{1}{2}\partial_{xx}[\sigma^2(x) p]

• On the Equivalence of Consistency-Type Models: Consistency Models, Consistent Diffusion Models, and Fokker-Planck Regularizationcs.LGdiffusion sampling dynamics with score-based drift
• On the Equivalence of Consistency-Type Models: Consistency Models, Consistent Diffusion Models, and Fokker-Planck Regularizationcs.LGdensity evolution derived from consistency-type model dynamics
• Sequence of pseudoequilibria describes the long-time behavior of the nonlinear noisy leaky integrate-and-fire model with large delaymath.APleaky integrate-and-fire neuron with synaptic delay in drift term and reset boundary condition
• Sharp spectral gap of adaptive Langevin dynamicsmath.APFokker-Planck equation for degenerate differential operator derived from adaptive Langevin dynamics
• Sharp spectral gap of adaptive Langevin dynamicsmath.APadaptive overdamped Langevin dynamics with extra feedback coordinate affecting noise structure
• Sequence of pseudoequilibria describes the long-time behavior of the nonlinear noisy leaky integrate-and-fire model with large delaymath.APprobability density evolution of neural membrane voltage with reset-at-threshold boundary condition

\partial_t u = D_u\nabla^2 u + f(u,v),\quad \partial_t v = D_v\nabla^2 v + g(u,v)

• Traveling Waves of Modified Leslie-Gower Predator-prey Systemsmath.APtraveling wave solutions in modified Leslie-Gower reaction-diffusion predator-prey with heterogeneous functional response
• Stable developmental patterns of gene expression without morphogen gradientsphysics.bio-phspatial stochastic reaction-diffusion for gene expression with bistable cross-repression motif
• Rotating spirals for three-component competition systemsmath.APthree-species competition system with rotating spiral solutions instead of stationary patterns
• A sufficient condition on successful invasion by the predatormath.APtraveling wave persistence in reaction-diffusion predator-prey with heterogeneous growth and functional response
• Persistence of solutions in a nonlocal predator-prey system with a shifting habitatmath.APnonlocal dispersal predator-prey with shifting habitat (traveling wave front in moving frame)

x_{t+1}=x_t-\eta\,\nabla f(x_t)

• Doubly Robust Self-Trainingcs.LGreweighted loss balancing labeled and pseudo-labeled data
• Policy Optimization for PDE Control with a Warm Starteess.SYpolicy gradient iteration over finite-dimensional control parameters with model-based warm start
• Explicit Feature Interaction-aware Uplift Network for Online Marketingcs.LGgradient-based optimization of multi-component loss balancing treatment effect estimation and intervention constraint

\dot{P}_n = \sum_{m}\big(W_{n\leftarrow m}P_m - W_{m\leftarrow n}P_n\big)

• Exact steady states in the asymmetric simple exclusion process beyond one dimensioncond-mat.stat-mechmulti-dimensional lattice with factorizable steady states
• Linear and non-linear integrate-and-fire neurons driven by synaptic shot noise with reversal potentialsq-bio.NCpopulation dynamics of stochastic neurons with synaptic shot noise and reversal potentials

\max_p \; H(p) = -\sum_x p(x)\log p(x)\ \text{s.t.}\ \mathbb{E}_p[\phi]=\mu \;\Rightarrow\; p(x)\propto e^{-\lambda\cdot\phi(x)}

• Transfer Learning for Underrepresented Music Generationcs.LGtransfer learning adaptation of VAE for out-of-distribution music generation
• Geometry-free renormalization of directed networks: scale-invariance and reciprocityphysics.soc-phnetwork probability distribution with effective Hamiltonian encoding adjacency structure

u_i(s_i^*, s_{-i}^*) \ge u_i(s_i, s_{-i}^*)\ \forall s_i, \forall i

• The Impact of Meta-Strategy on Attendance Dynamics in the El Farol Bar Problemnlin.AOagents selecting predictive strategies to minimize error; fixed points via strategy fitness-based selection
• Effect of Monetary Reward on Users' Individual Strategies Using Co-Evolutionary Learningcs.SIevolutionary game-theoretic dynamics evolving dominant strategies via genetic algorithm on network with heterogeneous node positions

\dot{S} = -\beta S I,\quad \dot{I} = \beta S I - \gamma I,\quad \dot{R} = \gamma I

• Epidemic spreading in group-structured populationsphysics.soc-phepidemic spread on group-structured populations with inter-group and intra-group contact rates
• Counting the uncounted : estimating the unaccounted COVID-19 infections in Indiaq-bio.PEextended with undetected infectious compartment and time-varying transmission rates