Research
On-device research index

arXiv research

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.

168,982 papers · 148 categories

Trend · papers per month

200401601801 · Jun 202019922001200920172026
48 results for indistinguishable sets

Characterizes sample complexity for outcome indistinguishability in machine learning.

problem Outcome indistinguishability in machine learning, focusing on distinguishers and predictors.
method Sample complexity characterized by metric entropy of predictor and distinguisher classes, using dual Minkowski norms.
result Equivalence and tightness of sample complexity characterizations in distribution-specific and distribution-free settings.

The paper examines how to test if two learning algorithms produce similar outcomes.

problem Testing if two learning algorithms produce similar outcomes when trained on different data sets.
method Using Total Variation (TV) distance to measure similarity of posterior distributions.
result TV indistinguishable learning rules are equivalent to existing stability notions and can be statistically amplified.

A new metric evaluates classification algorithms at the point of indistinguishability.

problem Evaluating classification algorithms at the point of indistinguishability.
method Set a threshold where algorithm's predictions are indistinguishable from real labels, then measure accuracy of positive labels.
result The new metric avoids pitfalls of existing metrics like AUC and F1-score.

New index principle shows indistinguishability of certain knot crossings.

problem Identifying indistinguishable crossings in knot diagrams.
method Developed a universal index function on knot diagrams that respects Reidemeister moves and sign of crossings.
result Crossings of the same sign in a classical knot diagram cannot be distinguished by any inherent property.

New approach shows backdoor attacks are indistinguishable from natural data features.

problem Defending against backdoor attacks in machine learning models.
method Developed a new primitive for detecting backdoor attacks based on the assumption that they correspond to the strongest feature in the training data.
result Backdoor attacks are indistinguishable from natural data features, making traditional detection methods ineffective.

Framework uses human judgment to distinguish algorithmically indistinguishable cases.

problem Clarifying human-AI collaboration in prediction and decision tasks.
method Integrates human judgment to distinguish algorithmically indistinguishable cases.
result Improves performance of any feasible algorithmic predictor.

DAL improves active learning for neural networks with large batch sizes.

problem Efficiently choosing examples to label for neural networks with large batch sizes.
method DAL treats active learning as a binary classification task to make labeled and unlabeled sets indistinguishable.
result DAL performs on par with state-of-the-art methods in medium and large query batch sizes.

Efficiently generates models resistant to falsification.

problem Creating models that cannot be disproven by tests.
method Exploits connections between high-dimensional multicalibration and expected variational inequality problems to develop an efficient algorithm.
result First to efficiently produce online outcome indistinguishable generative models resistant to infinite classes of tests.

GCNs struggle to distinguish certain graph models, especially those with high degree profiles.

problem Characterizing the limits of GCNs in distinguishing different graph models.
method Investigation of GCNs' power to distinguish between random graph models using graphons and degree profile closeness.
result GCNs with logarithmic depth can distinguish certain graph models, but simpler architectures suffice.

Differential privacy has emerged as a gold standard in privacy-preserving data analysis. A popular variant is local differential privacy, where the data holder is the trusted curator. A major barrier, however, towards a wider adoption of this model is that it offers a poor privacy-utility tradeoff. In this work, we add…

2019-01-21abs ↗pdf ↗

Transformers approximate mean-field dynamics of indistinguishable particles.

problem Approximating the dynamics of indistinguishable particles in complex systems.
method Using transformers to model the mean-field dynamics of interacting particle systems.
result Theoretical bounds on the distance between true and transformer-obtained mean-field dynamics.

A new approach for instance-optimal learning that bypasses impossibility results.

problem Impossibility of achieving marginal-by-marginal guarantees for all marginals.
method Introduces relatively smart learning, which requires competition only with certifiable semi-supervised guarantees.
result One-Inclusion Graph learner is relatively smart up to squaring the sample complexity.

Generative Adversarial Networks are a new family of generative models, frequently used for generating photorealistic images. The theory promises for the GAN to eventually reach an equilibrium where generator produces pictures indistinguishable for the training set. In practice, however, a range of problems frequently p…

2018-11-07abs ↗pdf ↗

Graph neural networks fail to distinguish certain 3D atom configurations.

problem Graph neural networks (GNN) fail to distinguish certain 3D atom configurations.
method Construction of degenerate 3D atom configurations that are indistinguishable by first-order GNNs.
result First-order GNNs are incomplete for 3D atom configurations.

Unsupervised learning models can be indistinguishable without identifiability, leading to unreliable representations.

problem Unsupervised learning models may be indistinguishable without identifiability, making it impossible to recover a ground truth generative model.
method Construction based on nonlinear independent component analysis theory to illustrate potential failure cases.
result Counterexamples show that identifiability is crucial for reliable unsupervised representation learning.

Time dilation 11v2\frac{1}{\sqrt{1-v^2}} and relative velocity vv are observationally indistinguishable in the special theory of relativity, a duality that carries over into the general theory under Fermi coordinates along a curve (in coordinate-independent language, in the tangent Minkowski space along the curve). For …

2005-12-05abs ↗pdf ↗

Efficient algorithms for deleting data from machine learning models without significantly affecting performance.

problem Deleting data from machine learning models while maintaining performance.
method Leveraging convex optimization and reservoir sampling, the paper introduces algorithms for handling long sequences of adversarial updates.
result First data deletion algorithms that promise steady-state error not growing with the length of the update sequence.

Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It follows as a corollary that a knot has trivial Alexander polynomial if and only if it can be undone by doubled-delta moves.

1999-11-02abs ↗pdf ↗

How can we explain the predictions of a black-box model? In this paper, we use influence functions -- a classic technique from robust statistics -- to trace a model's prediction through the learning algorithm and back to its training data, thereby identifying training points most responsible for a given prediction. To …

2017-03-14abs ↗pdf ↗

We establish tools to facilitate the computation and application of the Chekanov-Eliashberg differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots in standard contact three-space. More specifically, we reformulate the DGA in terms of front projection, and introduce the characteristic alge…

2000-11-30abs ↗pdf ↗

Paper distinguishes causal structures under latent confounding and selection bias.

problem Distinguishing causal relationships when latent variables and selection bias are present.
method Formulated selected-marginalized directed graphs (smDGs) to distinguish causal structures.
result Two causal structures are indistinguishable if they have the same selected-marginalized directed graph.

Deep generative models are rapidly becoming a common tool for researchers and developers. However, as exhaustively shown for the family of discriminative models, the test-time inference of deep neural networks cannot be fully controlled and erroneous behaviors can be induced by an attacker. In the present work, we show…

2019-03-07abs ↗pdf ↗

We resolve the open problem of optimal sample complexity for multicalibration and deterministic predictors.

problem Optimal sample complexity for multicalibration and deterministic predictors
method Minimax-optimal multicalibration algorithm and generalization to OI predictors
result Minimax-optimal multicalibration algorithm and deterministic predictors with optimal sample complexity

Paper bypasses backdoor detection algorithms in deep learning models.

problem Adversaries can embed backdoors in deep learning models, making them behave differently on specific inputs.
method Adversarial training algorithm that optimizes original loss function and maximizes hidden representation indistinguishability.
result The paper presents an adversarial backdoor embedding algorithm that can bypass existing detection algorithms.

The relationship between statistical dependency and causality lies at the heart of all statistical approaches to causal inference. Recent results in the ChaLearn cause-effect pair challenge have shown that causal directionality can be inferred with good accuracy also in Markov indistinguishable configurations thanks to…

2014-12-19abs ↗pdf ↗

We inject undetectable backdoors into obfuscated neural networks and language models.

problem Safeguarding models from sophisticated adversarial attacks.
method Developed a strategy to plant undetectable backdoors in obfuscated neural networks and language models.
result Undetectable backdoors can be planted in obfuscated models, even if weights and architecture are accessible.

New graph neural networks can distinguish graphs better than previous models.

problem Graph isomorphism tests limit the expressive power of GNNs.
method Developed k-order invariant and equivariant graph neural networks, and a reduced 2-order network.
result A reduced 2-order network with a single quadratic operation has 3-WL expressiveness, surpassing message passing models.

Bayesian method for causal discovery from unknown general interventions.

problem Learning causal DAGs from unknown interventions that modify parent sets.
method Bayesian approach with MCMC for approximating posterior DAGs and intervention targets.
result Bayesian method can identify DAGs and intervention targets up to equivalence classes.

Representation learning (RL) plays an important role in extracting proper representations from complex medical data for various analyzing tasks, such as patient grouping, clinical endpoint prediction and medication recommendation. Medical data can be divided into two typical categories, outpatient and inpatient, that h…

2019-04-18abs ↗pdf ↗

Generative models create indistinguishable adversarial objects for object detection.

problem Creating unrestricted adversarial examples for object detection.
method Search over latent space of GAN for adversarial objects.
result Generated adversarial objects are indistinguishable from non-adversarial objects and transferable.

New approach tackles decision-making under predictions that shape outcomes.

problem Challenges in learning optimal decision rules when predictions influence outcomes.
method Introduces performative omniprediction, a predictor that encodes optimal decision rules for multiple objectives.
result Efficient performative omnipredictors exist under a natural restriction of outcome performativity.

Different optimizer choices lead to different financial model predictions.

problem The impact of optimizer choice on neural network models in financial time series.
method Analysis of large-scale volatility forecasting for S&P 500 stocks using various model-training-pipeline pairs.
result Optimizer choice reshapes non-linear response profiles and temporal dependence in financial models, leading to different functional outcomes.

We study, using Mean Curvature Flow methods, 2+1 dimensional cosmologies with a positive cosmological constant and matter satisfying the dominant and the strong energy conditions. If the spatial slices are compact with non-positive Euler characteristic and are initially expanding everywhere, then we prove that the spat…

2019-02-01abs ↗pdf ↗

CRBM generates digital twins for MS patients, aiding in disease progression analysis.

problem Characterizing and analyzing disease progression in MS patients.
method Unsupervised machine learning with Conditional Restricted Boltzmann Machines (CRBMs).
result Generated digital twins are statistically indistinguishable from actual subjects.

In recent years, advances in machine learning algorithms, cheap computational resources, and the availability of big data have spurred the deep learning revolution in various application domains. In particular, supervised learning techniques in image analysis have led to superhuman performance in various tasks, such as…

2018-11-30abs ↗pdf ↗

Modified model prevents volatility from approaching zero.

problem Volatility in the Gatheral model can approach zero, making it statistically indistinguishable.
method Proposed a modified model with Skorokhod reflection to prevent volatility from approaching zero.
result The modified model prevents volatility from approaching zero, preserving the model's flexibility.