2581 valuable arXiv mathematics papers the pipeline has analyzed — each with a short note on what its math gives to machine learning.
The paper provides a nontrivial partial-observation control mechanism: an active Ornstein–Uhlenbeck degree of freedom is hidden, but its correlation with the measured particle position allows work extraction and near-optimal feedback…
The paper provides a principled small-scale expansion for averaging over metric balls in equiregular sub-Riemannian geometry. Its transferable asset is the separation between a first-moment term, which creates drift and can destroy a clean…
The paper gives a constructive asymptotic mechanism for Brownian survival in a wedge with partially reactive boundaries. Robin reactivity introduces a boundary length scale and produces a crossover between nearly reflecting behavior at…
The paper studies operators that exactly reproduce every mode through degree L while restricting outputs to bandwidth N. These constraints make positivity impossible for L>=1, but the optimal excess of the uniform operator norm above one…
The paper identifies orbifold boundary-condition classes with affine semigroups of finite-group label configurations satisfying a local conservation law: each branch label lies in a prescribed subgroup and the labels sum to zero. The…
The paper replaces steady-state terminal ingredients in MPC with a rollout of a known, possibly suboptimal policy. A terminal center is generated by the guiding policy, while the terminal cost penalizes deviation from that center and a…
The paper's transferable asset is a residue-resolved spectral sensitivity principle: a small relaxation eigenvalue creates large response only when the observable and perturbation direction actually couple to that spectral block…
The paper offers a constructive inverse-design mechanism for nonequilibrium transport: the optimal temperature profile depends on the objective, and the quasistatic efficiency optimum differs from the finite-current or power optimum. Its…
The paper provides a constructive active-exposure mechanism: represent bounded-noise state/output predictions and attack hypotheses as zonotopes, then optimize bounded control-channel perturbations so the admissible and attack output sets…
The paper combines residual-based greedy reduced-basis construction, offline/online separation of a quadratic nonlocal operator, and constrained residual minimization in reduced coordinates. The transferable asset is the representation of…
The paper’s transferable mechanism is that delayed self-interaction can create qualitatively new collective behavior: memory feedback suppresses weak-noise fluctuations, supports true long-range order, and produces a critical relaxation…
The paper combines physics-informed observable lifting, finite-dimensional Koopman linearization, online adaptation, and receding-horizon quadratic programming for nonlinear attitude dynamics with abruptly changing inertia and…
The paper develops a reciprocal forward/backward field theory in which Bohm quantum-potential, equivalently Fisher-information, feedback acts on a connected relative sector. Its transferable mechanism is state-dependent curvature feedback…
The paper gives a constructive linear-response description of periodically driven finite-state stochastic dynamics: each current response can be represented by an equivalent circuit with N resistor-capacitor series branches. The…
The paper's transferable asset is a second-order inertial dynamical system built around the forward-backward fixed-point operator, with Lyapunov guarantees stronger than the usual first-order residual decay: velocity is o(1/t) and the…
The paper's transferable mechanism is that infinite fading-memory interactions can be rewritten as a Markovian dynamical system on an augmented history space, where the memory itself supplies a dissipative Lyapunov term. Under a…
The paper offers a transferable construction linking spherical designs, polar convex bodies, and structured nonnegative slack matrices. The most promising neural-network use is the factorization A = c hh^T - X^T U^T X, which creates a…
The paper provides a transferable spatio-temporal representation: a two-variable Laplace transform in a commutative bicomplex or geometric algebra with independent temporal and spatial phase units. Its key asset is the factorization of a…
The paper gives a structural link between feature pruning and sample pruning through Fenchel–Rockafellar duality. Its transferable asset is the equivariance identity: feature screening in the primal is exactly represented as sample…
The paper develops sharp convex-order majorants for centered random variables whose moment generating functions satisfy finite-range Bernstein/sub-Gamma bounds. Its transferable asset is not Laplace noise itself, which is standard, but a…
The paper introduces a comparison-based statistic for the geometry of learned representations: the conditional entropy of the farthest prototype among three, averaged over queries and prototype triples. Its useful properties are that it…
The paper treats emergency stopping as a reach-avoid decision and combines two complementary learned signals: empirical success probability for a fixed controller and a physical-state recoverability value. The transferable contribution is…
The paper provides a nontrivial renormalization mechanism for nearly degenerate nonequilibrium perturbations of a conserved critical fixed point. Its most transferable asset is the all-orders triangular stability structure enforced by…
The paper provides a general quantization mechanism in which an operator is averaged over unitary Weyl translations generated by a phase-space random process. The transferable asset is not the pseudo-differential calculus itself, but the…