2581 valuable arXiv mathematics papers the pipeline has analyzed — each with a short note on what its math gives to machine learning.
The paper gives a graph-theoretic characterization of structural averaged controllability for multi-input linear ensemble systems: accessibility alone is insufficient; the controllability core must also admit a row-saturating matching. The…
The paper's transferable contribution is not the power-system model itself, but the event-aligned treatment of a piecewise dynamical system. Instead of learning one trajectory across discontinuous changes in the governing equations, it…
The paper gives a sharper high-probability restricted-isometry guarantee for subsampled circular convolutions generated by one Gaussian vector. The transferable asset is a parameter-efficient structured projection that preserves norms of…
The paper gives a constructive approximation for infinite-activity positive-jump noise by removing jumps below an amplitude cutoff and replacing their aggregate with a variance-matched Gaussian term. Its transferable asset is the explicit…
The paper identifies a concrete failure mode for high-dimensional tensor landscapes: a small coherent block of coordinates can dominate annealed critical-point counts even when the disorder is bounded, smooth, symmetric, and matches many…
The paper identifies a dimension-dependent failure mode in radial hyperbolic geometry: concentrating embeddings at a fixed raw radius does not determine how far positive-mass subsets actually separate. Its effective-radius quantity, s…
The paper's transferable asset is a scalable, column-local graph sampling rule: it uses randomly accessed Laplacian columns and a minimum-inner-product criterion instead of storing or diagonalizing the full Laplacian. This naturally…
The paper reduces a multi-action stochastic control problem to two sufficient statistics per action: effective drift, measuring progress relative to diffusion risk, and cost-effectiveness, measuring progress per unit cost. Its key…
The paper gives a constructive geometric-transfer mechanism: repeated Freudenthal-Kuhn subdivision followed by rectification produces a piecewise-linear complex whose intrinsic metric approximates the original triangulated space with…
The paper contains a transferable robust-control mechanism rather than merely a spacecraft-specific trajectory design: a sliding-mode disturbance observer reduces an unknown bounded disturbance to a bounded residual, while an adaptive gain…
The paper provides an explicit Hilbert-space encoding of Euclidean geometry: each point is mapped to its centered half-space incidence function, and squared Hilbert distance exactly equals the original Euclidean distance. This is more…
The paper contributes a capacity-constrained, non-deterministic alignment: an alignment is a nonnegative matrix whose row and column sums are upper-bounded by importance distributions, so objects may remain unmatched while other objects…
The paper proves that convex objectives relatively smooth with respect to negative Shannon entropy cannot generally obtain an accelerated O(1/T^2) rate: when the simplex dimension satisfies d=Omega(T^2), every first-order method has error…
The paper provides a constructive local normal form for a neutral return map combining a smooth quadratic displacement with a one-sided quadratic-grazing term, Delta(q,p)=S(q,p)+q_+^{3/2}K(sqrt(q_+),q,p). Its strongest transferable asset…
The paper introduces approximate two-stage graph factorization in which an ordered relation is represented by unique intermediate witnesses: each product entry counts paths from a source to a target through a latent vertex. The…
The paper offers a transferable reservoir-computing mechanism: use a nonlinear physical dynamical system whose intrinsic evolution is matched to the dynamics of the partially observed target, then train only a linear readout. Its key…
The paper’s transferable mechanism is a noise-dependent ranking of information measures in feedback systems: trajectory-dependent quantities such as transfer entropy degrade rapidly when observations are noisy and control histories are…
The paper gives a constructive framework for removing latent non-identifiability by breaking affine symmetries of Gaussian-mixture priors and distinguishing branches of piecewise-affine decoders. Its transferable asset is the decomposition…
The paper supplies a multiscale spectral diagnostic for signals that remain embedded inside a random-matrix bulk rather than appearing as isolated principal components. Its transferable asset is the use of scale-dependent effective…
The paper identifies exponentially bounded edge-connection rank with mixed partition functions, whose natural realization is a tensor network over a super vector space containing commuting and anticommuting channels. The transferable asset…
The paper contains a transferable spectral-design principle: complicated random-operator trace moments can be represented exactly by powers of a simple deterministic Jacobi operator. Its tridiagonal q-boson matrix has explicit off-diagonal…
The paper provides a nonstandard dimensional-collapse mechanism: uniform 2-positivity makes the second exterior-power variational cocycle contractive in Hilbert's projective metric, so transported 2-planes align toward a lower-dimensional…
The paper establishes a weak-majorization bound for singular values of sums of binary Kronecker products, extending the positive-semidefinite two-term eigenvalue result to arbitrary numbers of arbitrary matrices. For a tensorized…
The paper gives a constructive mechanism for instantaneous analytic smoothing: a dispersive flow converts rough spatial data into analytic data away from the initial time. The transferable asset is the combination of an exact Fourier…