Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
Mixed citations
Title resolution pending
Mixed citation behavior. Most common role is background (62%).
30
Pith papers citing it
2,170
external citations · Crossref
Background
62% of classified citations
citation-role summary
background 6
dataset 1
method 1
citation-polarity summary
representative citing papers
A Gaussian mean width bound in weighted geometry yields a single-letter strong converse for the classical identification capacity of quantum channels, improving known results for depolarizing, Pauli, erasure, and amplitude damping channels.
The paper introduces a protocol-resolved framework for virological measurements, defining an observation operator that maps latent ensembles to observed data and recasting plaque assays as estimates of protocol-conditioned infectious concentration.
Introduces quantile-based effectiveness persistence function as tail mean divided by quantile, shows equivalence to first L-moment of scaled tail, and develops nonparametric estimator with bootstrap equivalence test for biosimilar evaluation.
Framework combining constrained density-ratio networks with anytime PAC-Bayes for covariate shift.
A cubic stochastic population model with dual fear effects under the Allee effect produces an analytical steady-state probability distribution that exhibits noise-induced transitions and non-monotonic fear-controlled changes between low- and high-density regimes.
Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
A simpler conditional-expectations derandomization yields (L,f)-RPCs with Õ(f L^{f+o(1)}) covering value and Õ(f^{5/2} L^{o(1)}) query time; a new randomized construction matches an improved lower bound of Õ((L/f)^f L^{o(1)}) when f = o(log L).
The normalized sum of negative log-likelihoods under sublinear parsings converges almost surely and in L1 to the entropy rate h_P for any shift-invariant measure on a finite shift space.
Algorithms sample maximum-entropy distributions over citizen assembly panels, yielding better intersectional diversity and higher probability of satisfying unseen representation constraints than standard methods.
A new sampler for discrete distributions using coin flips that combines linearithmic space, negligible runtime overhead, and entropy-optimal expected flips in [H(P), H(P)+2).
Heat-kernel smoothing over weighted points on a compact manifold yields a scale-dependent geometric effective sample size that discounts nearby and duplicate particles.
A deterministic episodic-to-semantic consolidation function with a structural lemma proving identity invariance, demonstrated in synthetic experiments on an embodied service agent.
The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.
SPIN performs bidirectional domain transfer in SBI to retain parameter mutual information from unlabeled real observations, improving real-world posterior inference under increasing misspecification.
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
A reformulation of Bayesian OED as dense matrix subset selection plus a pipelined Schur-complement greedy algorithm on hundreds of GPUs enables optimization of 175-sensor networks for billion-degree-of-freedom tsunami models with near-perfect scaling.
Exact certification tractability tests fail descent when a target changes inside a correctness-preserving closure orbit; exact classification is possible only when positive and negative orbit hulls are disjoint.
CRISTAL is a neurosymbolic framework that synthesizes interpretable probabilistic world models from language priors for full Bayesian analysis and budget-aware data acquisition, claiming Bayes-optimal accuracy on synthetic equity classification with 5 examples.
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
Positive-rate probabilistic cellular automata admitting stationary Bernoulli measures are exponentially ergodic with logarithmic mixing times for finite regions.
Introduces PATP, a signed-parity fractional-power polynomial family controlled by continuous alpha in [0,1], and derives closed-form variance-reduction coefficient g_2(alpha) for the S=2 case.
Proves an H-theorem for monotonic decrease of a convex functional under iteration and gradient flow of a self-referential operator Omega within the local kernel approximation, with perturbative stability of the Tsallis index and numerical confirmation of a re-entrant disordered phase at kappa > 0.5.
A unified framework for determinant dynamics under low-rank perturbations is developed that extends to singular matrices via pseudodeterminant and provides multiplicative decompositions for controllability Gramians.
citing papers explorer
-
Fast Computation of Free-Support Wasserstein Medians
Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
-
Gaussian mean width strong converse bound on the classical identification capacity of quantum channels
A Gaussian mean width bound in weighted geometry yields a single-letter strong converse for the classical identification capacity of quantum channels, improving known results for depolarizing, Pauli, erasure, and amplitude damping channels.
-
Experimental Collapse in Virophysics: Protocol-Resolved Observation, Inference, and Plaque-Assay Blindness
The paper introduces a protocol-resolved framework for virological measurements, defining an observation operator that maps latent ensembles to observed data and recasting plaque assays as estimates of protocol-conditioned infectious concentration.
-
Quantile-Based Effectiveness Persistence Function: A Tail-Focused Metric with Theory, Estimation, and Application to Biosimilar Evaluation
Introduces quantile-based effectiveness persistence function as tail mean divided by quantile, shows equivalence to first L-moment of scaled tail, and develops nonparametric estimator with bootstrap equivalence test for biosimilar evaluation.
-
Anytime PAC-Bayes for Constrained Density-Ratio Networks under Covariate Shift
Framework combining constrained density-ratio networks with anytime PAC-Bayes for covariate shift.
-
Dual Fear Mechanisms Shaping Stochastic Population Dynamics under the Allee Effect
A cubic stochastic population model with dual fear effects under the Allee effect produces an analytical steady-state probability distribution that exhibits noise-induced transitions and non-monotonic fear-controlled changes between low- and high-density regimes.
-
Entropic Reciprocity in Time-Reversed Young Interferometry
Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
-
Simpler and Improved Replacement Path Coverings
A simpler conditional-expectations derandomization yields (L,f)-RPCs with Õ(f L^{f+o(1)}) covering value and Õ(f^{5/2} L^{o(1)}) query time; a new randomized construction matches an improved lower bound of Õ((L/f)^f L^{o(1)}) when f = o(log L).
-
Stability of the Shannon--McMillan--Breiman Theorem under Sublinear Parsings
The normalized sum of negative log-likelihoods under sublinear parsings converges almost surely and in L1 to the entropy rate h_P for any shift-invariant measure on a finite shift space.
-
Maximally Random Sortition
Algorithms sample maximum-entropy distributions over citizen assembly panels, yielding better intersectional diversity and higher probability of satisfying unseen representation constraints than standard methods.
-
Efficient Rejection Sampling in the Entropy-Optimal Range
A new sampler for discrete distributions using coin flips that combines linearithmic space, negligible runtime overhead, and entropy-optimal expected flips in [H(P), H(P)+2).
-
Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds
Heat-kernel smoothing over weighted points on a compact manifold yields a scale-dependent geometric effective sample size that discounts nearby and duplicate particles.
-
Episodic-to-Semantic Consolidation Without Identity Drift
A deterministic episodic-to-semantic consolidation function with a structural lemma proving identity invariance, demonstrated in synthetic experiments on an embodied service agent.
-
An Information-Geometric Justification for Composite Coherence in Event-Based Narrative Extraction
The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.
-
Information-Preserving Domain Transfer with Unlabeled Data in Misspecified Simulation-Based Inference
SPIN performs bidirectional domain transfer in SBI to retain parameter mutual information from unlabeled real observations, improving real-world posterior inference under increasing misspecification.
-
Emergence of Tsallis Statistics from a Self-Referential Nonlinear Operator: A Variational Framework
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
-
Sensor Placement for Tsunami Early Warning via Large-Scale Bayesian Optimal Experimental Design
A reformulation of Bayesian OED as dense matrix subset selection plus a pipelined Schur-complement greedy algorithm on hundreds of GPUs enables optimization of 175-sensor networks for billion-degree-of-freedom tsunami models with near-perfect scaling.
-
Descent Before Hardness: Orbit-Gap Obstructions in Exact Certification
Exact certification tractability tests fail descent when a target changes inside a correctness-preserving closure orbit; exact classification is possible only when positive and negative orbit hulls are disjoint.
-
The CRISTAL Method: Neurosymbolic analysis from AI-synthesized world models
CRISTAL is a neurosymbolic framework that synthesizes interpretable probabilistic world models from language priors for full Bayesian analysis and budget-aware data acquisition, claiming Bayes-optimal accuracy on synthetic equity classification with 5 examples.
-
Density Evolution: A Multiscale View of Density Estimation
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
-
Positive-rate PCA and IPS with stationary Bernoulli measures are rapidly forgetful
Positive-rate probabilistic cellular automata admitting stationary Bernoulli measures are exponentially ergodic with logarithmic mixing times for finite regions.
-
Parametrically Adaptive Transition Polynomial: a Signed-Parity Continuous-alpha Extension of Kunchenko Stochastic Polynomials
Introduces PATP, a signed-parity fractional-power polynomial family controlled by continuous alpha in [0,1], and derives closed-form variance-reduction coefficient g_2(alpha) for the S=2 case.
-
Irreversibility from Self-Reference: Gradient Flow and an H-Theorem for a Self-Referential Statistical Operator Framework
Proves an H-theorem for monotonic decrease of a convex functional under iteration and gradient flow of a self-referential operator Omega within the local kernel approximation, with perturbative stability of the Tsallis index and numerical confirmation of a re-entrant disordered phase at kappa > 0.5.
-
Determinant Dynamics under Low-Rank Perturbations: A Unified Framework for Singular Systems
A unified framework for determinant dynamics under low-rank perturbations is developed that extends to singular matrices via pseudodeterminant and provides multiplicative decompositions for controllability Gramians.
-
Recursive entropy in thermodynamics: expounding the statistical-physics basis of the zentropy approach
The zentropy approach receives a statistical-physics foundation via recursive entropy maximization, yielding partition functions for coarse-grained configurations and clarifying temperature-dependent states in thermodynamic systems.
-
Coordinate-View Confusability Graphs and Matroid Rank Certificates
The body derives a polynomial-time matroid upper bound on Shannon capacity for affine coordinate-view graphs and a transitivity criterion, while the abstract's NP-completeness and exact-formula claims are absent from the text.
-
A Mathematical Conflict Framework for Contextual Data Modulation
Presents a generalized mathematical operator framework that defines conflict as an independent, context-sensitive object integrating weighting, scale, and mapping components.
-
Quantum Thermodynamics
Lecture notes on quantum thermodynamics showing emergence of thermodynamic laws from quantum theory via Markovian master equations for small systems.
- From Unstructured Recall to Schema-Grounded Memory: Reliable AI Memory via Iterative, Schema-Aware Extraction
- Measuring Primitive Accumulation: An Information-Theoretic Approach to Capitalist Enclosure in PIK2, Indonesia