I have a question related to machine learning. Consider the case when in the problem of binary classification the training set is linearly separable. How to show that in this case the optimization problem for logistic regression without $L_2$-regularization does not have optimum?
2026-03-25 17:28:29.1774459709
logistic regression without $L_2$-regularization does not have optimum?
93 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in OPTIMIZATION
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- optimization with strict inequality of variables
- Gradient of Cost Function To Find Matrix Factorization
- Calculation of distance of a point from a curve
- Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?
- What does it mean to dualize a constraint in the context of Lagrangian relaxation?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Building the model for a Linear Programming Problem
- Maximize the function
- Transform LMI problem into different SDP form
Related Questions in MACHINE-LEARNING
- KL divergence between two multivariate Bernoulli distribution
- Can someone explain the calculus within this gradient descent function?
- Gaussian Processes Regression with multiple input frequencies
- Kernel functions for vectors in discrete spaces
- Estimate $P(A_1|A_2 \cup A_3 \cup A_4...)$, given $P(A_i|A_j)$
- Relationship between Training Neural Networks and Calculus of Variations
- How does maximum a posteriori estimation (MAP) differs from maximum likelihood estimation (MLE)
- To find the new weights of an error function by minimizing it
- How to calculate Vapnik-Chervonenkis dimension?
- maximize a posteriori
Related Questions in LOGISTIC-REGRESSION
- How do you interpret a categorical dependent variable in a plot?
- Why do we get rid of the minus sign when minimizing the cost function of logistic regression?
- How does one show that the likelihood solution for logistic regression has a magnitude of infinity for separable data (Bishop exercise 4.14)?
- Logistic regression with weighted variables
- Do logistic functions have to be symmetrical?
- Logistic Regression Adjusting for True Population Proportion
- The response $Y$ in a regression is a Bernoulli r.v., express the log likelihood function and the part. derivatives
- Can the product of logistic ($x_1$) and logistic ($x_2$) be approximated by logistic ($x_1+x_2$)?
- Logistics Regression + Variance
- Is there a nice matrix expression for the gradient of the cross-entropy for multinomial logistic regression?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?