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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.

168,742 papers · 148 categories

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48 results for Input-Output Equivalence

Recent advances in machine learning and artificial intelligence are now being considered in safety-critical autonomous systems where software defects may cause severe harm to humans and the environment. Design organizations in these domains are currently unable to provide convincing arguments that their systems are saf…

2019-05-10abs ↗pdf ↗

Recurrent neural networks can learn complex transduction problems that require maintaining and actively exploiting a memory of their inputs. Such models traditionally consider memory and input-output functionalities indissolubly entangled. We introduce a novel recurrent architecture based on the conceptual separation b…

2018-11-08abs ↗pdf ↗

Sharp limits found for storing and retrieving input-output associations in linear associative memories.

problem Understanding the fundamental limits of storing and retrieving input-output associations in neural networks.
method Study of a minimal linear associative memory model, introducing a decoupled model and using statistical physics to characterize storage capacity.
result Linear associative memory can store up to 1/2 log(p) associations, providing a sharp statistical-physics characterization.

New framework improves robustness of implicit neural networks.

problem Ill-posedness and convergence instability in implicit neural networks.
method NEMON framework based on contraction theory for \ell_{\infty} norm, including well-posedness condition, average iteration, and input-output Lipschitz constant regularization.
result Improved accuracy and robustness of implicit models with smaller input-output Lipschitz bounds.

Economic systems, traditionally analyzed as almost independent national systems, are increasingly connected on a global scale. Only recently becoming available, the World Input-Output Database (WIOD) is one of the first efforts to construct the multi-regional input-output (MRIO) tables at the global level. By viewing t…

2014-07-01abs ↗pdf ↗

Method combines clustering and matrix completion for missing data in I/O tables.

problem Reconstructing missing entries in World Input-Output (I/O) matrices due to data collection issues.
method Hierarchical clustering and Matrix Completion with LASSO-like nuclear norm penalty.
result The method effectively predicts missing values from previous and similar countries' data.

New method ranks sectors and countries using local and aggregate I-O data.

problem Ranking sectors and countries in global value chains using incomplete I-O tables.
method Rank-11 approximation to I-O tables using local and aggregate information.
result Consistently good performance in reconstructing rankings of upstreamness and downstreamness.

We consider the problem of learning a realization for a linear time-invariant (LTI) dynamical system from input/output data. Given a single input/output trajectory, we provide finite time analysis for learning the system's Markov parameters, from which a balanced realization is obtained using the classical Ho-Kalman al…

2018-06-14abs ↗pdf ↗

Graph-to-Tree Neural Networks improve structured input-output translation in tasks like semantic parsing and math word problems.

problem Improving performance on tasks like semantic parsing and math word problem solving.
method Graph-to-Tree Neural Networks, consisting of a graph encoder and a hierarchical tree decoder.
result Graph2Tree model outperforms or matches state-of-the-art models on neural semantic parsing and math word problem tasks.

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested ifthenelseif-then-else questions, the testing nodes, leading to a set of predictions, th…

2017-04-26abs ↗pdf ↗

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks that are amenable to the principle of divide and conquer, and study what are it…

2016-11-08abs ↗pdf ↗

Optimal intervention in economic networks modeled as influence maximization, with hard computational problems.

problem Optimal intervention in economic networks modeled as influence maximization.
method Transformed into influence maximization-like form, with theoretical and practical implications.
result Optimal intervention is NP-hard and cannot be approximated to a constant factor in polynomial time.

The paper finds a surprising positive correlation between upstreamness and downstreamness in global value chains.

problem The puzzling positive correlation between upstreamness and downstreamness in industries and countries.
method Analysis of a simple model of random Input/Output tables and experiments on empirical data.
result Upstreamness and downstreamness of the same industrial sector/country are positively correlated with a slope close to +1.

Paper presents a method to accurately quantify neural network uncertainty without sampling.

problem Uncertainty quantification in neural networks for reliability and robustness.
method Sample-free moment propagation technique for mean vectors and covariance matrices.
result Analytic solution for covariance of nonlinear activation functions.

Gaussian processes are used in machine learning to learn input-output mappings from observed data. Gaussian process regression is based on imposing a Gaussian process prior on the unknown regressor function and statistically conditioning it on the observed data. In system identification, Gaussian processes are used to …

2019-07-13abs ↗pdf ↗

Maxout networks study gradients and propose initialization strategies.

problem Complexity in input-output Jacobian distribution complicates stable parameter initialization.
method Obtained bounds on moments of gradients and formulated initialization strategies.
result Parameter initialization strategies improve training of deep maxout networks.

JacNet learns Jacobians to enforce structure on derivatives for invertibility and Lipschitz functions.

problem Enforcing structure on derivatives of neural network mappings.
method Proposes using a neural network to directly learn the Jacobian of the input-output function, allowing control over derivative structure.
result Demonstrates learning invertible approximations to simple and 1-Lipschitz functions.

Neural Processes (NPs) (Garnelo et al 2018a;b) approach regression by learning to map a context set of observed input-output pairs to a distribution over regression functions. Each function models the distribution of the output given an input, conditioned on the context. NPs have the benefit of fitting observed data ef…

2019-01-17abs ↗pdf ↗

We compress large neural networks for quick adaptation to specific contexts.

problem How to quickly adapt a pretrained large neural network to specific contexts.
method Propose a Bayesian hypernetwork framework to compress the network and encourage sparsity.
result Generated compressed networks are significantly smaller than baseline methods.

This work introduces a new metric to assess the fidelity of surrogate models to the underlying data-generating signal.

problem The limitations of fidelity-based explanations in explainable AI.
method Introduces the linearity score λ(f)λ(f) to quantify the extent of a regression network's linear decodability.
result High-fidelity surrogates can underperform compared to simpler models and even linear baselines trained directly on the data.

Procedure removes training data dependency from deep networks, improving generalization.

problem Removing dependency on training data in deep networks for better generalization.
method Deterministic and stochastic parts to ensure forgetting, leveraging activation and weight dynamics.
result New bound on information extraction from black-box networks, ensuring forgetting in activations.

In regression tasks the distribution of the data is often too complex to be fitted by a single model. In contrast, partition-based models are developed where data is divided and fitted by local models. These models partition the input space and do not leverage the input-output dependency of multimodal-distributed data,…

2019-03-18abs ↗pdf ↗

Paper proposes a new ML approach to estimate g-vulnerability without estimating conditional probabilities.

problem Estimating information leakage in black-box systems with large output domains.
method Developed a novel ML-based approach to estimate g-vulnerability without estimating conditional probabilities.
result The proposed method outperforms frequentist approach when dealing with large output domains.

Deep neural networks undergo hierarchical free-energy landscape transitions with increasing data size.

problem Understanding the design space and dynamics of deep neural networks.
method Statistical mechanical approach based on replica method.
result Hierarchical free-energy landscape transitions with ultrametricity, leading to simpler configurations in deeper layers.

Function approximation from input and output data pairs constitutes a fundamental problem in supervised learning. Deep neural networks are currently the most popular method for learning to mimic the input-output relationship of a general nonlinear system, as they have proven to be very effective in approximating comple…

2019-06-13abs ↗pdf ↗