arXiv research

This paper benchmarks UNSW-NB15 as a modern alternative to KDD-99 for A-NIDS.

Researchers tackle malaria control as a reinforcement learning problem with limited data.

Chromatic Learning reduces feature dimensions for sparse datasets.

We present a system that enables rapid model experimentation for tera-scale machine learning with trillions of non-zero features, billions of training examples, and millions of parameters. Our contribution to the literature is a new method (SA L-BFGS) for changing batch L-BFGS to perform in near real-time by using stat…

This paper uses β-VAE for unsupervised anomaly detection in NSL-KDD.

Project compares KDDCup99 and NSL-KDD datasets using ML classifiers.

Measuring the impact of scientific articles is important for evaluating the research output of individual scientists, academic institutions and journals. While citations are raw data for constructing impact measures, there exist biases and potential issues if factors affecting citation patterns are not properly account…

A prediscretisation of numerical attributes which is required by some rule learning algorithms is a source of inefficiencies. This paper describes new rule tuning steps that aim to recover lost information in the discretisation and new pruning techniques that may further reduce the size of rule models and improve their…

BGRL learns graph representations without costly negative examples.

Proposes an autonomous IDS using multiple learning techniques.

Study cup products on CAT(0) cube complexes, proving quasimorphisms' vanishing results.

CupNet prunes neural nets for cup-shaped data.

Let two Heegaard splittings $V_1 \cup W_1$ and $V_2 \cup W_2$ of a 3-manifold $M$ be given. We consider the union stabilization $M=V \cup W$ which is a common stabilization of $V_1 \cup W_1$ and $V_2 \cup W_2$ having the property that $V=V_1 \cup V_2$. We show that any two Heegaard splittings of a 3-manifold have a uni…

This paper considers the challenge of evaluating a set of classifiers, as done in shared task evaluations like the KDD Cup or NIST TREC, without expert labels. While expert labels provide the traditional cornerstone for evaluating statistical learners, limited or expensive access to experts represents a practical bottl…

Formula for computing triple-cup product from Heegaard diagrams of 3-manifolds.

New method compares geometric and standard cup products.

Relative cup-length defined for non-Morse functions on manifolds.

The paper shows how to transform certain 3-manifold Heegaard splittings into simpler forms.

Let $T$ be a separating incompressible torus in a 3-manifold $M$. Assuming that a genus $g$ Heegaard splitting $V \cup_S W$ can be positioned nicely with respect to $T$ (e.g. $V \cup_S W$ is strongly irreducible), we obtain an upper bound on the number of stabilizations required for $V \cup_S W$ to become isotopic to a…

Glaucoma is the second leading cause of blindness all over the world, with approximately 60 million cases reported worldwide in 2010. If undiagnosed in time, glaucoma causes irreversible damage to the optic nerve leading to blindness. The optic nerve head examination, which involves measurement of cup-to-disc ratio, is…

This study predicts ovarian cancer from cysts using TVUS and machine learning.

A hybrid machine learning model predicts soccer match scores for FIFA Women's World Cups.

Our main result offers a new (quite systematic) way of deriving bounds for the cup-length of Poincare spaces over fields; we outline a general research program based on this result. For the oriented Grassmann manifolds, already a limited realization of the program leads, in many cases, to the exact values of the cup-le…

It follows from a theorem of Gromov that the stable systolic category of a closed manifold is bounded from below by the rational cup-length of the manifold. In the paper we study the inequality in the opposite direction. In particular, combining our results with Gromov's theorem, we prove the equality of stable systoli…

Artificial neural networks (ANNs) have gained a well-deserved popularity among machine learning tools upon their recent successful applications in image- and sound processing and classification problems. ANNs have also been applied for predicting the family or function of a protein, knowing its residue sequence. Here w…

Let $M=H_{+}\cup_{S} H_{-}$ be a genus $g$ Heegaard splitting with Heegaard distance $n\geq κ+2$: (1) Let $c_{1}$, $c_{2}$ be two slopes in the same component of $\partial_{-}H_{-}$, such that the natural Heegaard splitting $M^{i}=H_{+}\cup_{S} (H_{-}\cup_{c_{i}} 2-handle)$ has distance less than $n$, then the distance…

Uniform criterion for vanishing products in bounded cohomology.

New trilinear form invariant for hyperbolic or malnormal knots.

Proves cup product homomorphism for bounded cohomology on negatively curved manifolds.

Paper tackles depth estimation and optic disc-cup segmentation from color fundus images.

AutoIDS uses auto-encoders to detect network intrusions efficiently.

Study shows exact forms in bounded cohomology are in radical of cup product.

Extends Gromov's optimal systolic inequality to manifolds with specific cohomology properties.

Geometrically interprets cup products and defines combinatorial Pin structures.

Fan tokens surged before World Cup matches, but declined during them, revealing cognitive biases.

We prove the vanishing of the cup product of the bounded cohomology classes associated to any two Brooks quasimorphisms on the free group. This is a consequence of the vanishing of the square of a universal class for tree automorphism groups.

New invariant connects virtual and classical linking numbers.

DeepEthnic classifies faces into ethnic groups with high accuracy.

Let $n$, $q$ and $r$ be positive integers, and let $K_N^n$ be the $n$-skeleton of an $(N-1)$-simplex. We show that for $N$ sufficiently large every embedding of $K_N^n$ in $\mathbb{R}^{2n+1}$ contains a link $L_1\cup\cdots\cup L_r$ consisting of $r$ disjoint $n$-spheres, such that the linking number $link(L_i,L_j)$ is …

We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincare duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.

We give a complete calculation of the infinity flavor of Heegaard Floer homology with mod 2 coefficients for all three-manifolds and torsion Spin^c structures. The computation agrees with the conjectured calculation of Ozsvath and Szabo. This therefore establishes an isomorphism with Mark's cup homology mod 2.

Extended systolic inequality for 2-complexes to improve group systolic area bounds.

We obtain a classification up to isomorphism of complex-analytic supermanifolds with underlying space $\mathbb{CP}^1$ of dimension $1|3$ with retract $(k,k,k)$, where $k\in \mathbb{Z}$. More precisely, we prove that classes of isomorphic complex-analytic supermanifolds of dimension $1|3$ with retract $(k,k,k)$ are in o…

A novel resampling technique addresses class imbalance in imbalanced datasets.

The valence of a function $f$ at a point $w$ is the number of distinct, finite solutions to $f(z) = w$. Let $f$ be a complex-valued harmonic function in an open set $R \subseteq \mathbb{C}$. Let $S$ denote the critical set of $f$ and $C(f)$ the global cluster set of $f$. We show that $f(S) \cup C(f)$ partitions the com…

Adding an unknot to any link equals its bridge number and meridional rank.

Identifies a mod-$p$ triple cup product for rational homology 3-spheres with specific first homology.

Paper presents CAD system for MI detection in smart cities.