MATLAB toolbox for optimization modeling
Official homepage https://yalmip.github.io
MATLAB toolbox for optimization modeling
Home Page: https://yalmip.github.io/
License: Other
MATLAB toolbox for optimization modeling
Official homepage https://yalmip.github.io
Should report 0 since feasible
z = sdpvar(2,1);
assign(z,[0;1]);
checkset(binary(z))
Make it granular, such as no, partial solution, complete solution
Warn if user tries to assign initial solution without support
Fails
sdpvar x1 x2 u
plot([-1 <= x1 <= 1, x1+x2 == 1, 0 <= u <= 1])
dx = sdpvar(15,1);
cumsum(dx)
The 1-norm case should exploit symmetry when defining auxilliary variables and constraints
Should not work without binary variables, but it does...
sdpvar x
solvesdp([-1 <= x <= 1],x*abs(x))
line #124 should be changed from
[F_eq_left,F_eliminate_equality] = filter_eliminatation(F_eq,w,0);
to
[F_eq_left,F_eliminate_equality] = filter_eliminatation(F_eq,w,0, ops);
Add a time tag when the internals are cleared and attach this to all objects created. If time tag on object is older than in core, it indicates yalmip('clear') has been issued since variable was created and user should be informed about the situation.
Clean trailing zeros etc.
Fails on everything
Correctly detects non-convexity
sdpvar x
p = max(exp(x),-x);
sdpsettings('allownonconvex',0);
[F,failure,cause] = expandmodel([-1 <= x <= 1],-p,ops);
But not here!
[F,failure,cause] = expandmodel([],-p,ops);
Try to avoid to bilinearize models in bmibn if possible (nonlinear solver supports polynomials etc)
Should be easy to do, the basis is already in there. sin is one example
Error happens when the variable eae=0.2, but replace with 0.21 and it works. Seems to generate a quadratic with very small negative eigenvalues, thus triggering the code to treat marginally indefinite problems as positive semidefinite.
Note: Problem is nonconvex as it is bilinear.
Expected behaviour: No crash in either case, report as nonconvex?
To reproduce
sdpvar x
hessian(x)
To reproduce
sdpvar x y
saveampl([complements(x>=0,z>=0),0<=x<=1,0<=z<=2],-x-z,'amplfail.mod');
Generalize code from IPOPT interface
Hence, if semidefinite cuts are involved, a upper bound solver such as fmincon will not be picked, even though the problem is a simple nonlinear program, without the cut
Create some strcutured description of all non-external-solver specific options.
Automatically cast SOCPs (which arise if you use norms) as quadratic constraints if the solver supports this.
Trying to do
A = sdpvar(8760/4,40)
B = kron(A, ones(4,1))
is very slow, compared to
A = randn(8760/4,40)
B = kron(A, ones(4,1))
x = sdpvar(2,1);
a = sdpvar
solvesdp([x'*(eye(2)*(1+a))*x <= a,uncertain(a),-.1 <= a <= .1],sum(x))
Does not work if SOCP originates in a high-level model, since only the lifted constraint is marked as a cut. The internally generated SOCP will be a normal constraint
This causes a bug
[0<=1, x>=0]
This doesn't!
[x>=0,0<=1]
ooqp reports success, but YALMIP reports time limit exceeded
yalmip('clear')
N = 5000;
w = sdpvar(N, 1);
previousPos = rand(N, 1);
constraint = [0.0001 <= abs(w) <= 0.04, sum(abs(w)) == 1, abs(sum(w)) <= 0.04, sum(abs(w - previousPos)) <= 0.1];
Reformulate to cos/sin
sdpvar x
plot([ x <= 0; x >= 1])
ans =
{[]}
You should put something like this when exiting lmi/plot:
if nargout==0
clear x_opt
end
Add possibility to control options in snopt
Some solvers are strict with 255 chars per line, so code should break up long expressions.
Variable bounds are extracted twice from model, e.g., in saveampl and compileinterfacedata
Attach solver definitions with test-scripts to be run to detect issues etc. A field is already there, just has to be populated, and some layer around it to make it useful
Models which instantiates to trivially infeasible SOCP cones are not handled correctly
yalmip('clear')
sdpvar x
sdpvar z
sdpvar y
P = optimizer([-1 <= y <= 1,y >= z*z],x^2,[],[y;z],x)
[~,err] = P{[0;2]};
Support the format polytope(P,x)
To reproduce
yalmip('clear')
sdpvar x y z
x = x^2;
y = y^2;
z = z^2;
p1 = (x+y)^4;
p2 = -8_x^2;
(x+y)_(x+y)
Reverse the login in compileinterfacedata when checking for which solver this not should be done. reverese to for which it should be done
clear all
clc
X = sdpvar(4,4);
% Imposing psd on full X: Works fine.
% Imposing psd on a few submatrices only
submat1 = [1 2 3]; submat2 = [1 2 4];
F = [X(submat1,submat1) >= 0];
F = [F, X(submat2,submat2) >= 0];
% Some random additional constraints
F = [F, X(1,2) == 2];
obj = trace(X);
ops = sdpsettings('dualize',1);
solvesdp(F,obj,ops);
log2(1+sdpvar(2))
Error using slog (line 23)
SLOG only defined for vector arguments
Add an example to show how to work with multipliers etc
After an sdpvar is loaded from disk, YALMIP stops to function properly.
To reproduce (Matlab R2011a, YALMIP e227e5):
sdpvar x
save x
clear
load x
clear
sdpvar y
double(y)
??? Cell contents reference from a non-cell array object.
Error in ==> yalmip at 617
varargout{1} = internal_sdpvarstate.optSolution{internal_sdpvarstate.activeSolution};
Error in ==> sdpvar.double at 37
solution = yalmip('getsolution');
It would be uber-cool if YALMIP could plot non-convex sets. Admittedly, this is more a wish rather than a reasonable request.
sdpvar x1 x2
plot([ x1^2 + x2^2 >= 1 ; -2 <= [x1; x2] <= 2 ])
When variables are eliminated feasibility is incorrectly determined
sdpvar x
sdpvar z
sdpvar y
P = optimizer([-1 <= y <= 1,x <= 10+z*x],x^2,[],[y;z],x)
[~,err] = P{[0;5]};
err
The reason is that the ordering is messed up. Internally somewhere, it is assumed the parametric variables are listed in the same order as they were defined
sdpvar x
plot([-1 <= x <= 0])
Actual behavior (with e227e): no figure produced
Expected behavior: plot the 1D set
BarHomogeneous for instance is not available
Implement internal GEVP solver, automatically extracting the GEVP model from a bilinear SDP
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