A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Corrects proofs for kernel--means clustering validity.
Corrects a flawed proof of the Kropholler Conjecture.
Corrects a proof gap in the Morse lemma for hyperbolic spaces.
Corrected an error in Caponnetto and de Vito's 2007 minimax rates proof.
This is a corrected version of our paper published in Osaka Journal of Mathematics 51(2014), 673-693. We correct Theorem~1.1, Proposition~3.3 and their proofs.
The paper proves an obstruction to immersed curves with specific curvature.
In recent years several trading platforms appeared which provide a backtest engine to calculate historic performance of self designed trading strategies on underlying candle data. The construction of a correct working backtest engine is, however, a subtle task as shown by Maier-Paape and Platen (cf. arXiv:1412.5558 [q-…
Corrected proof for 3D harmonic manifolds with minimal horospheres.
The proof of Theorem 7.12 of "Uniqueness of smooth cohomology theories" by the authors of this note is not correct. The said theorem identifies the flat part of a differential extension of a generalized cohomology theory E with ER/Z (there called "smooth extension"). In this note, we give a correct proof. Moreover, we …
This note gives a correction to the proof of the main result of "Harmonic representatives for cuspidal cohomology classes" by J. Dodziuk, J. McGowan and Peter Perry, an article that appeared in Serge Lang memorial volume.
Corrects a mistake in a proof about large portfolios of stochastic volatility models.
Corrects a 1998 proof about free factors of free groups.
Corrects errors in previous work on linear elasticity calculations.
Corrected proof for complex Monge-Ampère equations
It has been pointed out to the author by David Glickenstein that the proof of the (closely related) Lemmas 1.2 and 3.2 in the title paper is incorrect. The statements of both Lemmas are correct, and the purpose of this note is to give a correct argument. The argument is of some interest in its own right.
We derive a closed formula for the Heegaard Floer correction terms of lens spaces in terms of the classical Dedekind sum and its generalization, the Dedekind-Rademacher sum. Our proof relies on a reciprocity formula for the correction terms established by Ozsvath and Szabo. A consequence of our result is that the Casso…
There are errors in the proof of the uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.
This replaces the previous version, by correcting an error in the proof of Theorem 1.4, that was pointed out by the referee.
Corrects errors in previous work on spectral asymptotics in elasticity.
The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of our paper \cite{CF}.
We point out a mistake in the main statement of \cite{liu} and suggest and proof a correct statement.
We present a new, more elementary proof of the Freedman-Teichner result that the geometric classification techniques (surgery, s-cobordism, and pseudoisotopy) hold for topological 4-manifolds with groups of subexponential growth. In an appendix Freedman and Teichner give a correction to their original proof, and reform…
Formally proves machine learning for simple classifiers.
We correct the proof in the unoriented case of Theorem 1.2 in the paper "Cobordisms of maps with singularities of given class"
The paper corrects a proof and extends a theorem about linking pairings in 4-manifolds.
We correct the proof of Theorem 5 of the paper Homology stability for outer automorphism groups of free groups, by the first two authors.
Corrects an error in the convergence of Weitzenböck manifolds.
We present two proofs of the fact, originally due to Reiner Martin, that any fully irreducible hyperbolic element of acts on the projectivized space of geodesic currents with uniform north-south dynamics. The first proof, using purely train-track methods, provides an elaborated and corr…
The Gauss self-linking integral of an unframed knot is not a knot invariant, but it can be turned into an invariant by adding a correction term which requires adding extra structure to the knot. We collect the different definitions/theorems/proofs concerning this correction term, most of which are well-known (at least …
Corrected proof for C^2UCB contextual combinatorial bandit's regret bound.
New IRL algorithm for continuous state spaces with formal guarantees.
Suppose that multiple experts (or learning algorithms) provide us with alternative Bayesian network (BN) structures over a domain, and that we are interested in combining them into a single consensus BN structure. Specifically, we are interested in that the consensus BN structure only represents independences all the g…
Counterexample and new proof for curvature varifolds.
It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable covering of a finite simplicial complex remains unproved. However, results and proofs of the first four sections (in particular, the approximation…
We give geometric explanations and proofs of various mirror symmetry conjectures for -invariant Calabi-Yau manifolds when instanton corrections are absent. This uses fiberwise Fourier transformation together with base Legendre transformation. We discuss mirror transformations of (i) moduli spaces of complex stru…
Novel proof of Shepp's theorem using martingales.
Corrected a false lemma in Cimasoni's work on linking theory.
We prove the uniqueness of solutions of the Ricci flow on complete noncompact manifolds with bounded curvatures using the De Turck approach. As a consequence we obtain a correct proof of the existence of solution of the Ricci harmonic flow on complete noncompact manifolds with bounded curvatures.
Study on convergence of OMD for saddle point problems, correcting previous claims.
This is the second part of the proof of the exact traiangles in Seiberg-Witten Floer theory. We analyse the splitting and gluing of flow lines of the Chern-Simons-Dirac functional when the underlying three-manifold splits along a torus. (two corrections added)
Issue found in proof of adaptive submodular function minimization theorem.
The paper corrects and improves previous assertions in digital topology.
Completes the proof of curvature tensor existence for Jacobi operators.
The H-score can bias bicluster comparisons, but a correction is provided.
In my masters thesis I prove a square root bound on the distance of homological codes that come from two dimensional surfaces, as a result of the systolic inequality. I also give a detailed version of M.H. Freedman's proof that due to systolic freedom, this bound does not hold in higher dimensions.
Researchers found the maximum number of holes in polyominoes grows proportionally to the dimension.
Study shows infinite rank in bipolar filtration of topologically slice knots.
In Thurston's notes, he gives two different definitions of the Gromov norm (also called simplicial volume) of a manifold and states that they are equal but does not prove it. Gromov proves it in the special case of hyperbolic manifolds as a consequence of his proof that simplicial volume is proportional to volume. We g…