| Not researched |
Yann LeCun | Factual |
2006 |
The preceding discussion of EBM inference and learning did not require manipulating normalized probability distributions.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Citation |
2006 |
Huang and LeCun (2006) and Collobert et al. (2006) argued that convex loss functions do not guarantee good performance and that non-convex losses may be easier to optimize in practice.
Yann LeCun · Citation · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
GTNs are designed for situations where the sequential structure is so complicated that the corresponding dynamical factor graph cannot be…
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
They are merely designed for training models to answer a different kind of question than probabilistic models.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Energy-Based Models (EBMs) capture dependencies between variables by associating a scalar energy to each configuration of the variables.
Yann LeCun · Not checkable · 2006 |
|
| Mixed |
Michael Burry | Factual |
2006 |
Because home prices rose steadily for a long time, troubled homeowners were able to refinance, take cash out and often reduce monthly payments at the same time, which reduced foreclosure rates.
Michael Burry · Factual · 2006 |
Economics and markets |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Running MCMC for just a few steps limits computational expense.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
The hinge-type loss's second term prevents energy collapse by pushing up points whose energy threatens to go below that of the desired answer.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
For the negative log-likelihood loss, the gradient with respect to E_C is positive and with respect to E_I is negative for any energy values.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Own records only |
Michael Burry | Prediction |
2006 |
Burry expected that, in the worst case, his fund's mortgage short would fully amortize to nil value over the next three years, at an average annual cost of carry of roughly six percent of current assets under management.
Michael Burry · Prediction · 2006 |
Their own work or organisation |
| Not researched |
Yann LeCun | Factual |
2006 |
The probability of training hitting a collapsed solution with the perceptron loss is quite small.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Resolved true |
Yann LeCun | Factual |
2006 |
Inference algorithms in energy-based learning often give only approximate answers or do not guarantee finding the global energy minimum.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Since the RBF centers U1 and U2 are fixed and distinct, there is a strictly positive lower bound on d1 + d2 for all G_W.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
For the squared-error regression energy, the minimum energy is always zero.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
With this simple architecture, the NLL or perceptron loss would give exactly the same result as the energy loss because their contrastive term is constant.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Since the contrastive sample is always near the desired answer, one can hope that the desired answer will become a local minimum of the…
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Local minima are rarely a problem in practice for gradient-based learning because of the high dimensionality of the space.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
One interesting suggestion is to pull up on answers that are always near the correct answer, so as to make the correct answer a local…
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Knowing these values would make the recognition task much easier.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
it is important to keep in mind that much of the discussion applies equally well to more complex architectures, as we will see later.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Stochastic gradient methods can be applied to any loss function, including nonconvex ones.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
The only challenge is to compute the gradient of the loss with respect to the neural net outputs by backpropagating gradients through the…
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
In many practical situations computing the partition function is intractable or impossible, such as when Y has high cardinality or the integral has no analytical solution.
Yann LeCun · Factual · 2006 |
Science and research methods |
| Not researched |
Yann LeCun | Factual |
2006 |
Hinge, log, LVQ2, MCE, square-square and square-exponential losses can all be described as margin losses.
Yann LeCun · Factual · 2006 |
Science and research methods |
| Not researched |
Michael Burry | Factual |
2006 |
Home prices did not appreciate during the year before this 2006 letter.
Michael Burry · Factual · 2006 |
Economics and markets |
| Not researched |
Yann LeCun | Factual |
2006 |
With the energy loss, nothing prevents G1 and G2 from ignoring their inputs and producing identical outputs, causing a collapsed flat energy surface.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The set of collapsed solutions is a small piece of the parameter space.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
On average, each answer will be pulled up by the appropriate amount according to the partition function.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
the energy-based approach is bound to be more efficient.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
A distinction should be made between the energy function, which is minimized by the inference process, and the loss functional (introduced…
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Second, computing the contrastive term in the negative log-likelihood loss function (or its gradient with respect to W ) may be very…
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
A carefully tuned stochastic gradient descent is often considerably faster in practice than sophisticated second-order methods because it exploits redundancy between samples.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
The simplest method is stochastic gradient descent.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Citation |
2006 |
Hadsell et al. (2006) used Siamese architectures with the square-square loss for unsupervised learning of manifolds.
Yann LeCun · Citation · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The loss function for the highly non-linear GTN-type parameterization is not convex in W.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
With some architectures, the energy loss can lead to a collapsed solution in which the energy is constant and equal to zero.
Yann LeCun · Factual · 2006 |
Science and research methods |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Contrastive divergence learning can be seen as an approximation of NLL learning with two shortcuts.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
It would seem natural to train GTNs with one of the generalized margin losses.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
the only consistent way involves turning the collection of energies for all possible outputs into a normalized probability distribution.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Discriminative training often uses iterative gradient-based methods to optimize the loss.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
For many interesting models, computing the integral over Y in the NLL loss is intractable.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Own records only |
Michael Burry | Factual |
2006 |
The Funds held quite a bit of cash in 2006, something that last occurred in the 2001-2002 era.
Michael Burry · Factual · 2006 |
Their own work or organisation |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Hence probabilistic modeling comes with a high price, and should be avoided when the application does not require it.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Latent variables are very useful in situations where a hidden characteristic of the process being modeled can be inferred from…
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
However there are numerous applications where it is convenient to use energy functions that depend on a set of hidden variables Z whose…
Yann LeCun · Not checkable · 2006 |
|
| Unresolvable |
Yann LeCun | Factual |
2006 |
The LVQ2 loss is a continuous approximation of the number of classification errors.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
In the third and fourth experiments, using loss functions with explicit contrastive terms, the machine performed as expected and did not collapse.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Unlike generalized margin losses, the LVQ2 loss is non-convex in the correct and most offending incorrect energies.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
As of 2006, GTNs had never been trained with a generalized margin loss, to the authors' knowledge.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Probabilistic learning is a special case of energy-based learning in which the loss function is the negative log-likelihood, also called the maximum mutual information criterion.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Locating the best-scoring location in the image consists in minimizing the energy with respect to Y and Z.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
For the squared-error regression energy, the Y minimizing E equals G_W(X).
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Excellent results were obtained for isolated word recognition with the LVQ2 loss despite its zero margin.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Mixed |
Nouriel Roubini | Prediction |
2006 |
Fannie Mae and Freddie Mac would go bankrupt and the credit crunch would lead to a US recession by some time in 2007.
Nouriel Roubini · Prediction · 2006 |
Economics and markets |
| Not researched |
Michael Burry | Factual |
2006 |
Credit default swap protection contracts on these tranches are pay-as-you-go.
Michael Burry · Factual · 2006 |
Economics and markets |
| Not researched |
Yann LeCun | Factual |
2006 |
As of 2006, no theory exists for energy-based learning with approximate inference.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
First, the normalization requirement limits the choice of energy functions we can use.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Unfortunately, not all combinations of architectures and loss functions are allowed.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
The NLL loss is invariant to global shifts of energy values and depends only on energy differences among the Ys for a given X.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Non-linear factors allow the modeling of highly complex dependencies between inputs and labels
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
The dependency between X and Y sometimes cannot be expressed as a function mapping X to Y, e.g. the constraint X^2+Y^2=1.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Probabilistic models have two major disadvantages.
Yann LeCun · Not checkable · 2006 |
|
| Unresolvable |
Michael Burry | Prediction |
2006 |
Burry expected the mortgage pools shorted by the Scion funds to see maximum stress during the latter half of 2007.
Michael Burry · Prediction · 2006 |
Economics and markets |
| Own records only |
Michael Burry | Factual |
2006 |
The Scion Funds have roughly a 12% allocation in Asia, lower than in the past.
Michael Burry · Factual · 2006 |
Their own work or organisation |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
In the energybased framework, there is no need to make excuses for breaking the rules.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
This loss function can be optimized with a variety of techniques.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
With the NLL loss the minimum is deeper than with the square-square loss because incorrect answers' energies are pushed up to infinity, with decreasing force.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Inference by marginalization over latent variables reduces to inference by minimization when β→∞ (zero temperature).
Yann LeCun · Factual · 2006 |
AI capabilities |
| Resolved true |
Yann LeCun | Factual |
2006 |
Each NLL iteration involves considerably more work because pushing up every incorrect answer is expensive when the second term's derivative has no analytical form.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
In 2006, the authors said that, to their knowledge, no systematic experimental study had been published on whether second-order methods bring a significant speed improvement over well-tuned stochastic gradient methods for training these models.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Energy-based learning can be seen as an alternative to probabilistic estimation for prediction, classification, or decision-making tasks.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Because energies are uncalibrated, there is no a priori guarantee that separately trained energy-based models have commensurate energy scales.
Yann LeCun · Factual · 2006 |
Science and research methods |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
In this way, the regression on X1 and X2 is implicitly learned through the constraint Y rather than explicitly learned through supervision.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Many existing learning models can be be expressed simply in the framework of energy-based learning.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
What we propose here is to view the probabilistic approach as a special case of a much larger family of energy-based methods.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
One of the alleged advantages of CRFs is that their loss function is convex with respect to the parameters W.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The main problem with the perceptron loss is the absence of a margin.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Own records only |
Michael Burry | Factual |
2006 |
Burry never expected Scion's mortgage short to pay off within one year.
Michael Burry · Factual · 2006 |
Their own work or organisation |
| Unresolvable |
Michael Burry | Prediction |
2006 |
Most of the subprime mortgage pools Scion shorted will likely see maximum foreclosures a little over two years into the life of the pool.
Michael Burry · Prediction · 2006 |
Economics and markets |
| Not researched |
Yann LeCun | Factual |
2006 |
Because of its zero margin, the generalized perceptron loss could lead to a collapsed energy surface.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Own records only |
Michael Burry | Factual |
2006 |
The Scion Funds hold roughly $2 million in put options focused on the Russell 2000 Index.
Michael Burry · Factual · 2006 |
Their own work or organisation |
| Not researched |
Yann LeCun | Factual |
2006 |
The log loss can be seen as a soft version of the hinge loss with an infinite margin.
Yann LeCun · Factual · 2006 |
Science and research methods |
| Unresolvable |
Michael Burry | Factual |
2006 |
Loss severities on foreclosed subprime mortgages rose during 2006 from 10-15% at the start of the year to 30-45% recently.
Michael Burry · Factual · 2006 |
Economics and markets |
| Mostly true |
Michael Burry | Factual |
2006 |
Burry said the positions "we" are short are now effectively undercollateralized by performing mortgages, pointing to ratios of delinquent, bankrupt, foreclosed and REO loans to total credit support, several of which were above one.
Michael Burry · Factual · 2006 |
Economics and markets |
| Not researched |
Michael Burry | Factual |
2006 |
The secondary market for mortgages is vast and deep thanks to the invention of mortgage-backed securitizations in the 1970s.
Michael Burry · Factual · 2006 |
Economics and markets |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Properly designing the architecture and the loss function is critical.
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Such hidden variables are called latent variables, by analogy with a similar concept in probabilistic modeling.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Learning and inference with EBMs involve minimizing the energy over the set of answers Y and latent variables Z.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
When the energy is linear in W, the hinge loss with L2 regularizer takes the simple form of Eq. 81.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The energy and loss functions must satisfy the stated sufficient conditions to be guaranteed to work in an energy-based setting.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The NLL loss reduces to the generalized perceptron loss as β→∞, and to the log loss when Y has two elements.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
The square-exponential loss has an infinite margin and pushes incorrect answers' energies to infinity with exponentially decreasing force.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
Siamese architectures are used to learn similarity metrics with labeled examples.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Graph transformer networks are hierarchical sequence modeling systems in which the objects that are manipulated are trellises containing…
Yann LeCun · Not checkable · 2006 |
|
| Not checkable |
Yann LeCun | Not checkable |
2006 |
For other models, one cannot guarantee anything.
Yann LeCun · Not checkable · 2006 |
|
| Not researched |
Yann LeCun | Factual |
2006 |
Maximizing the conditional likelihood of training samples is equivalent to minimizing the negative log-likelihood loss.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Unresolvable |
Yann LeCun | Factual |
2006 |
There exists at least one point in HP1 at which the loss is less than at all points in HP2.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not researched |
Yann LeCun | Factual |
2006 |
With a linear parameterization, training with the energy loss reduces to a convex least-squares problem.
Yann LeCun · Factual · 2006 |
AI capabilities |
| Not checkable |
Yann LeCun | Not checkable |
2006 |
Energy-based methods are equally well justified as probabilistic methods.
Yann LeCun · Not checkable · 2006 |
|
| Mostly true |
Michael Burry | Factual |
2006 |
In a securitization, each trust is divided into tranches, each defined and rated by the degree of subordination protecting its principal from loss.
Michael Burry · Factual · 2006 |
Economics and markets |